diff --git "a/data/dm_maths/full_data/1927_11255.jsonl" "b/data/dm_maths/full_data/1927_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1927_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k = -308 - -311. Solve i + 4 = -2*m + 3*m, i = -k*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 + 129 + 80 + 92)*(0*a**3 - a**3 + 3*a**3).\nAnswer: 788*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1580 (b) 0.0536 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 24*x**2 - 29*x - 1. What is the thousands digit of k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568 divided by -40.\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-408)\/(-255))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05012 times -5.37?\nAnswer: 0.2691444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**5 - 274*u**2 + 240*u wrt u.\nAnswer: 40*u**3 - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n\/n**(5\/2))))\/n*n**(-1)*n)**(-39) assuming n is positive.\nAnswer: n**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2946 is divided by 1463?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67, 47, 9, -47, -121?\n\"Answer: -9*m**2 + 7*m + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9748 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/((-1008)\/(-256)))\/(((-154)\/33)\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15648955?\nAnswer: 5, 7, 31, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b + 29*b - 162. What is the lowest common multiple of b and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -79 (b) 25 (c) 2\/11 (d) -8396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -2 - sqrt(108)) + sqrt(108) + sqrt(108))**2*-5 + 3.\nAnswer: -2177 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 504\/(-7644)*28\/(-6)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 268665919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s**3 - 226*s**2 - 1770*s + 25211. Determine z(14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 4.3. Let j = i - -63. What is j rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -0.5, 0.2, 43, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 5. Let l(a) = 10*a + 65. Let j(t) = 46*t + 270. Let w(k) = 2*j(k) - 9*l(k). Calculate w(i(h)).\nAnswer: -6*h**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 + 21. What is the least common multiple of g and 6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 9*h**3 - 13*h**3)*(-2 + 4 - 4) - 4*h + 4*h - 5*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 (base 9) in base 4?\nAnswer: 13132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 1}. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6) - 0)*4. Suppose h*b - b = 2. Let r(x) = 0*x - b*x + x. Let j(g) = -2*g. What is j(r(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by 320\nAnswer: -201\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-9 + 3)) + 3 + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -87*k. Let g(z) = -7*z. Calculate t(g(b)).\nAnswer: 609*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 2 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1084576, 1084715, 1084854, 1084993, 1085132, 1085271?\n\"Answer: 139*b + 1084437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107858907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-25) - (-22)\/30. Let h be 1\/2*0 + 4. Suppose -3*u - 1 = -h*u. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.7755 * -23.\nAnswer: 247.8365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + q. Let d(i) = 6*i**2 + 2*i. Let y = -6 + 10. Suppose 17 = -2*l + 7. Let r(o) = l*p(o) + y*d(o). What is the second derivative of r(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100431 (base 8) in base 13?\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 13 (c) 4\/3 (d) 0 (e) -4 (f) -3\/5 (g) 1.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 4 (c) 0.5 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12.380428 times -5\nAnswer: 61.90214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/168 and -79\/98.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 207*q. Let a(p) = 59*p. Let f(r) = 18*a(r) - 5*n(r). Suppose 231 = 15*i + 156. Suppose 0 = 2*s - 4*c + 2, -c - 3*c = 5*s + i. Calculate f(s).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, -10, 110?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40127, -80232, -120345, -160466, -200595, -240732?\n\"Answer: -4*a**2 - 40093*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1895, -3800, -5713, -7634?\nAnswer: -9563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 827 + -827. Suppose n*m = 9*m - 5715. Calculate the highest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118976)\/156)\/13*6\/(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t**4 + 0 + 0*t**3 + 0*t + 11\/60*t**5 + 10*t**2. Let f(z) = 2*z**2. What is f(k(o))?\nAnswer: 242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 - 108*g**4 - 1626*g**3 - 8336*g**2 - 13728*g = 0.\nAnswer: -33, -13, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -134*b - 234. Does 9 divide r(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.199 + 4.199. Suppose 2*y + 8*n + 29 = 3*n, -3*y - n - 11 = 0. Which is the closest to y? (a) 3 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4133\/44400 or 0?\nAnswer: 4133\/44400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/54 + (-32)\/(-18) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144587, 578323, 1301225, 2313299, 3614551?\nAnswer: 5204987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-3)\/(0 + 3). Suppose -o*y = -y - 36. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyjv. Give prob of sequence jyyl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 482136 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: Let j = 23 + -23.1. Let f be 1*(1 - (-4)\/(-3)). Which is the closest to -0.2? (a) 3 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 4 - 4 + 3*j. Let y be a(7). Let w be y\/2 - 155400007\/(-14). What is w rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c**2 - 3*c - 4. Let h be (6\/18)\/(1\/(-3)). Determine w(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**3 - 9*d**2 - 81*d + 31. Let f(v) = 3*v**3 - 2*v**2 - 16*v + 6. Let t(q) = 11*f(q) - 2*j(q). Is t(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (668*m + 541*m - 222*m)*(-5 - 1 + 0) to z*m + r and give z.\nAnswer: -5922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15207c7 (base 13) to base 10.\nAnswer: -6741742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - 9 = -18*c - 3*q, -11 = -2*c - q. Solve 4*i = c*z - 17, -4*i - 1 = 3*z + i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 71 = v, -241 + 61 = 3*v + k. Let j = v - -79. Suppose -j*r - 103 = -21*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from ipipfllpppplrpizrpp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 10*i**2 + i - 13. Calculate y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-21))\/(305\/(-2135)). Let n = -135\/4 + 50073\/1484. Is l less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(3 - 1) - 0. Find the third derivative of 0*j**4 - 4*j**p + 0*j**4 - 3*j**4 + 4*j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:32 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867422 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 - -15)\/9)\/((-2)\/5). Which is the nearest to -1? (a) s (b) -1\/5 (c) 0.4 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -9, -28, -57, -96, -145?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -923 - -927. Let x be 1*5*(4 + -5). Let i(h) = h**3 + 4*h**2 - 5*h - 2. Let k be i(x). Put k, g, -5 in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + v + p - 2 = 0, -12 = 5*v - 4*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -166523, -333049, -499575, -666101?\n\"Answer: -166526*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -176*p**5\/5 + p**4\/2 - 335*p**3\/3 - 181. What is the third derivative of l(c) wrt c?\nAnswer: -4224*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18*6\/(-36) + 7\/(-2) and -40\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238955120 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 202?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 110*t**3. Let s(r) = 552*r**3. Give 11*f(m) - 2*s(m).\nAnswer: 106*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-4 + (-1690)\/(-13) - -8)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Let k = 4 - 2. What is the second smallest value in -0.3, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32997451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133303 (base 6) to base 11.\nAnswer: -9374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199243?\nAnswer: 3, 7, 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {y: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-68 - 2))\/(-1). Let n = q - -72. Let x = -33.5 + 34. Which is the second smallest value? (a) 1 (b) n (c) -1\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4063140*b + 112 - 112.\nAnswer: -4063140*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.075, 3, 4\/3, -15\/71 in ascending order.\nAnswer: -15\/71, 0.075, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 39. Let h(d) = -46*d**3 + 3*d**2 - 1. What is the tens digit of h(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2435 - -2606. Solve -a + 170 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - ((sqrt(180) + 3 - sqrt(180)) + sqrt(180)) - (-4 + sqrt(605))**2.\nAnswer: -624 + 83*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/16 - -41\/48. Let n = 73\/21 + -22\/7. Let b = 1.1 + -0.1. What is the third biggest value in n, b, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 19.15?\nAnswer: -18.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -172.\nAnswer: -172, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/6))**(-27)*a**(-5\/8)\/(a\/a**0) assuming a is positive.\nAnswer: a**(-193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 10*a - 2. Let w be v(10). Let u = 4 + w. Suppose 5*i - u*i - 34 = -2*k, 4*k - 60 = -4*i. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m - 4*m + 2*m + (-2 + 3 - 2)*(0*m + m + 0*m) + 836 + 36*m - 836)*(0 + 0 - 2*m) to v*m**2 + s*m + z and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7432660 to the nearest integer?\nAnswer: 2726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*r - 27, 4*c - 2*r + 21 = -11. Which is smaller: -15\/2 or c?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267639665 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 - 149. Suppose h - 85 = -3*f, 4*h + 4*f - 162 = k*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2817222 by 2.\nAnswer: 1408611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1824827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 20.357?\nAnswer: -10.1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*g - 68. Suppose 0 = 3*c + c - 20, 4*w = -3*c + g. Calculate the remainder when 22 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -36. Suppose f - 32 = 3*i, -i = 5*f - j - 62. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 634 - 605. Let d(x) = x**3 + 6*x**2 - 9*x - 6. Calculate the remainder when j is divided by d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = 29*q - 5730. Let z(y) = -q + y + 2865. Let u(x) = -7*x. Let s(f) = -120*f. Let n(r) = -2*s(r) + 35*u(r). What is -n(k) - 6*z(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 21. Let f(x) = 70*x - 295. Let s(z) = 4*f(z) + 55*y(z). Let k(u) = -3*u + 110. Let c be k(37). Let b(g) = 1. Give c*s(p) - 25*b(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -24. Let t = 111 - l. What is the highest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*k - 172. Let i = 161 - k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850757*t - 901 = -850810*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*y + y + 18, -3*y = 2*t + 2. Let m(h) = h**y + 4 - 6*h + 5 - 4 - 7. What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 2*b**2 - 2*b**2 + (3*b - 4 + 4)*(-2 + 2 - 5)*(-3*b - b + 2*b).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14230014 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -62. Suppose -s + 0*s - v*l = 7, 3*s - 4*l = -78. Put 3, 0, 2, s in ascending order.\nAnswer: s, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127195515 to the power of 1\/2, to the nearest integer?\nAnswer: 33574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2\/3, 3\/7, 140?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167285\/60046 - -1\/4289. What is the common denominator of h and 83\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -6\/47359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 7. Let a be b(5). List the prime factors of (4\/3)\/(a\/471).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 26*r**3\/3 + 3*r**2 + 8*r + 70. Find the second derivative of z(p) wrt p.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3363*n**2 - 176*n - 20. What is the thousands digit of w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.35891, -1, -5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/2, 0.3, -730, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*k = -91948 - 8372. Calculate the highest common factor of k and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1199800*u. Let f(l) = -l**2. Give m(f(w)).\nAnswer: 1199800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4200?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -271*j**6\/60 - 5*j**5\/12 - 7*j**4\/24 - 1027*j**2. What is the third derivative of r(s) wrt s?\nAnswer: -3252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agggggqqgggaqqgq. What is prob of picking 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4*v + 3. Let b be h(5). What is the derivative of -c**2 + b + 4*c**2 - 6*c**2 + c**2 wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2301b9 - -4?\nAnswer: -2301b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and (70\/20)\/((-2)\/(-36)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -10. Let s(o) = -r + o**2 - o + 3*o + 1 - 5*o. Determine s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4070190.\nAnswer: 2, 3, 5, 211, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 44, 4, 10, -3 in increasing order.\nAnswer: -3, 4, 5, 10, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {g: 1, d: 1, h: 1, q: 1, y: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -70*s + 15. Let k(n) = -27 - 27*n + 12 + 98*n. Let c(x) = 4*k(x) + 5*z(x). Differentiate c(q) with respect to q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 1707338.\nAnswer: 13\/1707338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2)*(-6)\/12. Suppose x*z - 12 = 68. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 9) + 798\/(-90).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 368, 0 in ascending order.\nAnswer: 0, 1, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrnrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14071510 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108639 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.96. Let o = s - -0.26. Let r = 9.5 - 9.7. What is the second smallest value in r, -1, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/180 - t**5\/10 + 2*t**4\/9 - 13*t**2 + 5. Find j, given that m(j) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i**2 + 2*i + 1. Let l(s) = s**2 + s. Let r(a) = g(a) - 4*l(a). What is the remainder when r(1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132.9 + -16.9. Let s = u + -126.3. Round s to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3007*r + 739. Does 38 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500 and 2800?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395 + 1394 - k**2 - 2789.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 3 - 6)*(2 - 15 - 13)*(1 + 4*q - 1) in the form r + d*q and give d.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 695, 2487, 6009, 11837, 20547?\n\"Answer: 96*y**3 + y**2 - 37*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -73 and 5587.46.\nAnswer: 5514.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h + 140 = 0. Let t = 38 - h. What is the smallest value in 1, t, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 95 + 45 + -189?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 + 20*t - 43. Calculate y(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = 5*b, 3*s + 3*b - 36 = 6*b. Let h = -1 + s. Suppose 3*u = 2 + h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400667297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 11*g + 34*g - 48 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122638140 and 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26321 is divided by 114.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1470 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + -20. Suppose -49 = 4*j + 4*y - 137, -3*y = 2*j - 39. Calculate the remainder when z is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 28*o**2 + o - 25. Let s(m) = -m**2 - 1. Let c(f) = -4*s(f) + w(f). Is c(3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1928*d - 111 + 57 + 54)*(2 + 3 - 4).\nAnswer: -1928*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-1)\/2)\/(55\/(-22))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -5 - (-60 + 0). Calculate the highest common divisor of s and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50950 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13, -17, -59\/37, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 25*w = 10*w - 220 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 + 5*m - 4. Let t be v(-5). Let q be (3\/t)\/(42\/(-16)). Suppose -k + 0*k - 26 = 5*h, -5*k + 5*h + 20 = 0. Is k at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*1)\/(7 - 9). Suppose -6*o + 4*o - 2 = -u*r, 0 = -2*o - 3*r + 23. Let q(g) = -g**3 + 5*g**2 - 4*g + 3. Let i be q(o). Solve -i*x - x - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 2\/7, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272759061 and 62349.\nAnswer: 1909313427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17647242 - 702810\nAnswer: -18350052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 - -140. Suppose h + 5*v = 5, u*h - 3 = 4*v + 22. What is the second biggest value in -0.2, 31\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t - 6. Let q be n(-6). Let z be (0 - (q + 3)) + (0 - -3). Suppose g + 325 = z*g. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*d**4 + 2 - 6 - 4 wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56206 divided by -43?\nAnswer: -56206\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:11 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 347*m**4\/3 - 1241*m**2\/2 - 1612*m. Differentiate u(y) wrt y.\nAnswer: 2776*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*l = 476*r - 477*r + 13, 2*l = -50*r - 262 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37 and 6003?\nAnswer: 5966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15726301.\nAnswer: 15726301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 779*j**3.\nAnswer: -779*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 29*n**2 - 31*n - 12. Give l(-30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -27 + (29 - 116\/120) - (-6)\/20. Let -y*t**3 - 80\/3*t - 32\/3*t**2 - 64\/3 = 0. Calculate t.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*f + 52 - 4, -36 = -3*z + 2*f. Let s be 230\/z - (-1)\/(-6). What is the greatest common divisor of s and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, and 1 f when three letters picked without replacement from oooooofffnooooffofff.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egg when three letters picked without replacement from {g: 3, e: 1, z: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550802 divided by 9?\nAnswer: 6550802\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 345566?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 24 - 11 - 15)*(2 + 1 - 4).\nAnswer: 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*c**2*v**3 + 334*c*v**3 + 12857*v**3 - 9 wrt c.\nAnswer: -26*c*v**3 + 334*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/j**(-2\/21)*(j*j\/(j\/(j\/(j\/(j*j\/(j\/j**(4\/9))*j))*j))*j)\/((j\/j**(-2\/3))\/j) assuming j is positive.\nAnswer: j**(181\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -581 at least as big as -581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 192 - 37*l**2 - 192. Let o(i) be the second derivative of -i**3\/3 + 12*i + 2. Determine q(o(f)).\nAnswer: -148*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1977409, 1977543, 1977677, 1977811?\n\"Answer: 134*g + 1977275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-5 + 41 + -5). Let s = -24 + m. Suppose -s*v = -13*v + 78. 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: Let c = 127692 + -127690. Suppose 4*n + 0 = 4. Solve a = -c + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 11*n**2 - 3*n + 15. Let z be d(11). Let m be z\/(-10) + (-3)\/(-15). Is 67 - 0\/m*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:28 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 2 (c) 73997 (d) 3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180501805513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/18696 and 31\/36?\nAnswer: 56088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.48196214 rounded to three dps?\nAnswer: 18.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -1 (c) -2.17 (d) 0 (e) -16 (f) 9 (g) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8784966*q**3 - 2*q + 8784935*q**3 + 9*q**2 + 21*q**2 + (2*q - 3*q + 0*q)*(-q + q - 2*q**2).\nAnswer: -29*q**3 + 30*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1759249 litres in millilitres?\nAnswer: 175.9249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - 7*k - 4. Let n(v) = -2*v**2 - 4*v - 2. Calculate 5*n(b) - 3*z(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0318 and 74.85.\nAnswer: -2.38023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53064 and 16512.\nAnswer: 36508032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 618.000006441 + -618. What is v rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 85*g + 334. Calculate s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1945834 and -29\/1687.\nAnswer: 13620838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**3 - 2088*z**2 - 5588*z + 2568.\nAnswer: 4*(z - 107)*(z + 3)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eenneeneeeeeee. What is prob of picking 3 n and 1 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/26476516?\nAnswer: -7\/26476516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 429*u**2 + 2466*u.\nAnswer: 3*u*(u + 6)*(u + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v - 53*v**3 - 44*v**2 - 7 + 9*v**2 + 3 + 46*v**3. Let b(s) = -15*s**3 - 69*s**2 + 18*s - 9. Let p(m) = 4*b(m) - 9*w(m). Solve p(g) = 0 for g.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104, 102, 100?\n\"Answer: -2*w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h**2. Let u(d) = -12*d. What is u(w(r))?\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -2093\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -383.1 - -328.63. Round y to 0 dps.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335626097?\nAnswer: 23, 14592439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/4 (b) -4478 (c) -5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*b*s**2 - 11*b*s + b - 2 wrt s.\nAnswer: -384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7189 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31738 - -31768. What is the lowest common multiple of q and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -451512 and 0.4.\nAnswer: -180604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 2*r. Let u be l(0). Solve g - 2*k + 1 = u, -3*k - 3 = -3*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256*t + 102*t = -24444 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*p - 207. Let v(o) = -23 - p*o - o**3 - 18*o**2 + 14 - 8*o**2. What is the hundreds digit of v(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 10:09 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/2563 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118009 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 8 = 3*h, 2*i + 2962 - 2958 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 79471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1297036 >= -1297320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*v**5 + 518655*v**4 + 121741421*v**2?\nAnswer: -2700*v**2 + 12447720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*v - 9\/2*v**3 - 17\/4 + 1\/4*v**4 + 4*v**2.\nAnswer: (v - 17)*(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38581216, -38581217, -38581218?\nAnswer: -38581219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22006 (base 7) in base 6?\nAnswer: -41234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/18*(-36)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5*m - 3)*(-19*m - 9 + 9 + (2*m - 4*m + 3*m)*(4 - 6 + 3)) as v*m**2 + k*m + r and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-22))\/((-15)\/(-10)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/26 - (-33)\/39\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6\/1)\/(-3))\/(-14). Let n = -812.2 - -812. What is the nearest to a in 3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -58195*l - 756545. Determine w(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*w - 17. Let j be 4\/(-6) + w\/24. Let o(z) = 13*z - 75. Let h be o(6). What is the smallest value in h, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4854 (c) 0.3 (d) -0.5 (e) 1\/2 (f) -2\/11 (g) 68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2960, 2961, 2962?\n\"Answer: m + 2959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 4*s**2 - 11*s - 3. Let x be h(6). Calculate the highest common factor of x and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 0, -12\/5, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2630 is divided by 330?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21602.\nAnswer: 2, 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994666041 to the power of 1\/3, to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 c, and 1 z when four letters picked without replacement from {j: 4, z: 5, c: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d + 87. Let n be a(-7). Suppose -k - 2*k = -p + 5, n*p + 4*k - 15 = 0. Solve t + 5*b + 19 = 2*t, p*b = -3*t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 9) to base 13\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + d**2 + d + 1. Let q be a(-1). Let h be (-16)\/(-12)*(4 + -1). Solve -4 = x - 3*x - h*p, q*p + 23 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2185500 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 d when four letters picked without replacement from {d: 17, s: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.0434.\nAnswer: -0.01302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h**2 - 2*h + h**2 - 150 + 75 - h**3 + 43. Let c be l(-16). Suppose c*k = 2*k - 2084. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Let r(i) = -i**2 - 2*i + 3. Let w be (-57)\/15 + (-1)\/5. Let m be r(w). What is the biggest value in 6, m, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2081313.\nAnswer: 1\/693771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 = -3*s + 40. Suppose 19 - 27 = -2*v. Suppose -7*m - v*m = -s. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/2 - 61*z**4 - 64*z**3 + 309*z**2 - 369*z\/2 = 0?\nAnswer: -3, 0, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 476 and 833.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -de?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -13) + -1 + 0 - (10 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 21221?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {u: 1, j: 6, w: 5, h: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 14, 51, 122, 239, 414?\n\"Answer: 2*j**3 - j**2 + 4*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*t + 1107 = 0, -616 - 494 = -5*k - 5*t. Suppose -a + 8*h + 50 = 3*h, 4*a = h + k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 468*y + 2. Let o(h) = 7*h**2 - 936*h - 5. Determine -5*b(r) - 2*o(r).\nAnswer: r**2 - 468*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i - 44. Calculate u(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 9 - 2842*a - 2831*a - 3 + 5675*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-30)\/(l\/l**7) assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 103*w + 56*w.\nAnswer: 164*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 90 = 2*p. Let z = p + -1. Let i = z + -20. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k + 75 = 0. Suppose 2*y = 4*w + 7*y - k, -3*y = -9. Let i(b) = -b**2 - 9*b + 12. Let p be i(-10). Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 10. Suppose 0*o + 2*n + 5 = o, -3*o - y*n = 7. Sort -3, -4, o.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -244.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 297?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -5\/9 (c) 23 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1*2\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let n(r) = -2*r**2 + 8*r - 3. Give n(y) + 6*o(y).\nAnswer: -2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 - 218.2. Let u = -24 + y. Which is the closest to -0.1? (a) 0.03 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*g**2*p**2 + 17158*g**2 + 53*g*p**3 with respect to p.\nAnswer: 126*g**2*p + 159*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 2*b**3 + 4*b**3 + b**3 + 32*b**2.\nAnswer: 2*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2753507 hours to seconds.\nAnswer: 991.26252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 127*z**3 + 70*z**3 - 4 - 4*z + 6 - 2*z**2 + 3*z. What are the prime factors of b(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + o - 5, 4*z + 2*o - 10 = 0. Suppose 3*q + z*y + 4*y - 137 = 0, 3*q - 4*y = 121. Calculate the remainder when q is divided by (-1)\/(-2) + 29\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 7*m - 18. Let h be f(9). Let y be (1 - h) + -5 + 6. What is x in -7*x**3 - 3*x + y*x**3 + 2*x + 6*x**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfzz when four letters picked without replacement from zzzzzzzzzzzfzzzzzzz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -13*n**7\/42 + 5*n**4\/8 - n**3\/6 + 343*n**2. Find the second derivative of t(c) wrt c.\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {h: 17, b: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m - 4*m**2 + 13*m)*(-105*m - 19*m**2 + 105*m)*(m + 0 + 3 - 1) - m + m + m**5.\nAnswer: 77*m**5 + 152*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/60 - 2*t**3\/5 - 27*t**2\/10 - 57*t + 92. Let d(i) be the first derivative of n(i). Factor d(a).\nAnswer: -(a + 3)*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4 - (-198 + 183)) + (3 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -2, 1, -4, 2 in decreasing order.\nAnswer: 11, 3, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2286, -3901, -5490, -7041, -8542, -9981, -11346?\n\"Answer: 2*i**3 + i**2 - 1632*i - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -116. What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*v = 270*v + 2520. Which is smaller: -32 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1736\/16)\/31*(-2)\/14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qimq when four letters picked without replacement from qmmmqim?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -348 (c) -1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -101220112120201?\nAnswer: 101220112120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.25 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933 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: Collect the terms in 24*t**2 + 2*t - 18*t**2 - 2*t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 8897.\nAnswer: -9\/8897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117621520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2471 and 12\/222635.\nAnswer: 78590155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.45 - -45.55. Let o(r) = 2*r + 2. Let j be o(-3). Let w = 0 + 1. Sort 0.5, j, u, w.\nAnswer: j, u, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3468 = -10*s. Let d = s - -504. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601612 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 + 2*s - 4. Let x(j) = -100*j**2 + 35*j - 70. Let p(d) = -70*m(d) + 4*x(d). Let u(z) = z + z + 0*z. What is p(u(y))?\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 120, 118, 116, 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17730*w**3 - 2*w**2 - 2*w + 918.\nAnswer: 106380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*i = 171*i - 144081. What are the prime factors of i?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2374*d**3*x - 14*d**3 + 32*d**2*x - 14*d*x - 18*x wrt d?\nAnswer: -14244*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 640\/(-1750) + (-4)\/(-50). What is the second biggest value in -2\/15, t, 36?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -6*m - 5*w + 34, -4*m - 5*w = 161. List the prime factors of (m\/(-9) - 4)\/(3\/270).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 11 - 11. Let f(s) = -2*s - 2. Give -f(r) + 4*l(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(42 - (-109305)\/(-2604))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 500 - 1011. Let q = a + 510.9999781. What is q rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1457?\nAnswer: -2914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 3, b: 7, j: 1, t: 1}. What is prob of picking 1 s and 2 i?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/28 and (-10)\/(-32)*(248\/(-240) - -3).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*x**3 + 2 + 3 - 5 + 86*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 361091411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqnobubn. What is prob of sequence nbqu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuux when four letters picked without replacement from {x: 4, u: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uswsuwuwwu. Give prob of sequence wsw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 132 + 5?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9 + 169*f - 341*f + 171*f. Let p be b(6). Suppose -5*d = p*g + 101, -5*g + d = 5 + 154. Put g, 5, 2 in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 40 + 9*z + 13*z - 19*z. Does 20 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142\/91 - 2\/13. Let g = -1781\/5 + 356. Put 3, g, j in ascending order.\nAnswer: j, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 225 - 218 + 443 - 53*p**2 to the form w + c*p**2 + f*p**3 + l*p and give c.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111641 is divided by 5468?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - 176\/(-666). Let f = 267\/10360 - -7\/40. Let x = f - v. Put 1, -2, x in decreasing order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.16.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.481 - -0.631. Does v = 0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Let i(k) = 245 - 245 - n*k. Let j(s) = 2*s**2. Give i(j(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 18344.\nAnswer: 165096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269657 and 637969?\nAnswer: 6577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 40 = 14*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616a7 (base 13) in base 11?\nAnswer: 10a2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**3\/6 - 2*o**2 - o. Let m(r) = 3*r - 9. Let d be 2\/5 + -3*423\/135. Determine d*x(g) + 4*m(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 5, n: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51695 + 18239 = 984*w for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d = 45*d - 22. Calculate the remainder when 40 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.87 - 0.27. Let v = -8 + c. Suppose 4 = w + 1. What is the nearest to 1 in w, -1\/7, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59657.\nAnswer: 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2511600 divided by -552\nAnswer: -4550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06566 - -0.066. Round l to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5293475589?\nAnswer: 3, 17, 29, 241, 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-9))\/(-3*(-10)\/18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -32. Suppose 16 = 9*b - y*b. Let l be b + 8\/(-3 + 7). Let p(k) = -k**3 + 6*k**2 - k + 7. What is p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694611 rounded to the nearest 10000?\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.025785\nAnswer: 0.074215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v - 83*v + 561599 = 132161. What are the prime factors of v?\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 2. Let h be j(4). Let o be 1\/((10\/h)\/5). Is o less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4636 by -12617.\nAnswer: 4636\/12617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453401 (base 6) in base 3?\nAnswer: 100001122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, q: 1, v: 1, l: 9, o: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/(5*5\/(-100)*5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4578263 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/((p\/(p**(-4\/9)*p))\/p)*p))\/p*p*p*p\/(p\/(p*p**(2\/3))*p)*p**2\/(p\/p**2*p*p) assuming p is positive.\nAnswer: p**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/60*4*(-1)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139927854041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54403 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j**2 - 41*j + 289. Let s be t(6). Solve s = 8*b + 743 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3559550\/4)\/((-2)\/(-4) + -1). Let q = -769625 - u. Suppose -4*j - q = 109850. Round j to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 17576416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 16101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -21*c + 4. Let k(d) = -4*d + 1. Give 11*k(n) - 2*m(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195183 is divided by 379.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 1. Let m be h(10). Suppose -62 = 5*f - 3*k, -6*f + 3*k - m = -2*f. Let c = 19 + f. What is the remainder when 21 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2*sqrt(5))**2*6*-3*-5.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 9, 4, -5, 5, 2, -1096 in increasing order.\nAnswer: -1096, -73, -5, 2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71836 is divided by 5783.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.3 (c) 0.1 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -10, -14 in increasing order.\nAnswer: -14, -10, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + 42\/(-5). Which is greater: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -4 + 6 + 1. Let u(d) = -9*d - 6. Let w be u(-4). Suppose -5*o + x = -w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146*5\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 717, 2\/5, 1\/3?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20289 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-36))\/(20*(-5)\/(-160)))\/((-38)\/(-171))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 4. Suppose 3*a = 4*x - 6, x + 2*a - 4 = 4*a. Let w be i(x). Suppose 5*z = -2*f - f, 2 = w*z + 2*f. Solve u - z*u = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a - 7. Let b = a - -13. Solve -2*f = b*c - 12, 0 = 3*c - f - 4*f - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 minus -3952?\nAnswer: 3951.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o - 143 = 0. Let z(r) = -o - r**3 - 5*r - 2*r**2 - 8*r**2 + 132. What is the tens digit of z(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 divided by -2\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-12 + 20 - (6 + 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6837241\/902 - 7580. Calculate the common denominator of -27\/574 and y.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 633*l**4 + 326*l.\nAnswer: 7596*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021200000 + 2122110?\nAnswer: 1101022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1912\/(-16491)*(3\/6 - 1\/(-4))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18*-1*13\/(-200) and (((-312)\/(-6500))\/(3\/(-5)))\/(320\/150).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 + 62 = 0. What is the highest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330221.224 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (-17 + 18 + -37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5137246?\nAnswer: 2, 2568623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 43, -0.5, -0.2, -79, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 - 20*u - 144. Let a be w(-6). Let i(d) = -1035*d**2 - d + 52. Let z be i(a). What is z rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05705877227 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-432)\/15)\/(3\/10). Let j = 35 - 72. Let y = j - t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -1\/4, 5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 42*q + 15. Let f(z) = -6*z - 2. Suppose 2*i = -3*u - 8, 3*u + 22 = 2*i + 3*i. Let h(r) = i*j(r) + 15*f(r). Let k(v) = -2*v. What is k(h(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-30))**(6\/13)\/(((w**(-3\/23)*w)\/w)\/(w*w*w\/(w**(-3\/10)\/w*w*w))) assuming w is positive.\nAnswer: w**(-34133\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*v - 409*v = -243 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(12\/(-9))*(-569)\/(-3414)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3\/5 (c) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*d + 15 = k, -4*d - 16 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*v + 71*v + 461*v + 483*v - 1782 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r*s*z + 32*r*s + r*z - 12*r - 528*s*z + s + 39*z with respect to z.\nAnswer: -3*r*s + r - 528*s + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 74*r**2 - 17*r + 478. Let b be g(-75). Calculate the greatest common factor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 403 and 262663?\nAnswer: 3414619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 11*n - 25. Let a be t(7). Solve -a*k + 3 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-39) - (-5 - (-184605)\/(-39)). What is the greatest common divisor of 412 and q?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.848 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 43 + 46 = -4*p + 31, -48*k - 289 = -p for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12 = m. Let w(k) = -k**4 + k. Let a(z) = z**5 + 10*z**4 + 3*z**3 + z**2 - 7*z. Let h(x) = m*a(x) + 14*w(x). Factor h(b).\nAnswer: 2*b**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4043*n**3 - 8099*n**3 + 4051*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2519 by 4.\nAnswer: -2519\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -4400141?\nAnswer: 4400200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/22)*p*p*p*(p\/(p*p**(5\/2)\/p)*p)\/p*p)\/((p**(-4\/5)*p)\/p**8) assuming p is positive.\nAnswer: p**(619\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 21 = 5*s, s - 5 = -s - 5*i. Suppose s*j - 300 = -5*k - 0*j, 4*k = 5*j + 222. Let q = 61 - k. Which is greater: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 18\/49 (c) 22\/79 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 30, 34, 28, 12, -14?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14140025 is divided by 739?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 72 = 4*q - 2*y, 0 = -5*q - 2*y + 83. Find the third derivative of -13*v**5 - 10*v**2 - v**2 - q*v**2 + 6*v**2 wrt v.\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 15*k - 528. Let j = k + -98. Let i(o) = 37*o - o**2 - 3*o**3 - 1 + j*o - 69*o. What is i(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 13) to base 16\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2634, -2627, -2608, -2571, -2510, -2419, -2292?\n\"Answer: j**3 - 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - -32899?\nAnswer: 32903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192 is divided by 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 3813319\nAnswer: -33\/3813319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2324714 divided by -17\nAnswer: -2324714\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211697787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/5 - 11*t\/5 + 2 = 0. What is t?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 174585008 to the power of 1\/2, to the nearest integer?\nAnswer: 13213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/13 - (-480)\/1170?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllllmmmllmmllml. Give prob of picking 4 l.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6*m**2 - 4 + 11.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-2))\/(-7 - (-4168)\/592). Suppose 0 = -82*l + s*l + 5928. What is the greatest common divisor of l and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - i = -199, 7*u - 3*u - 776 = i. Suppose 0 = -t - 20*y + 18*y - 63, -3*t - u = 4*y. What is t rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffc when four letters picked without replacement from ffffcfffcfccc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 65.751, 3, 5, 2, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241487536?\nAnswer: 2, 15092971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16704 + -4.16704. Which is the closest to -0.2? (a) -5\/4 (b) -269 (c) m (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23601 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73470 + 73470 + 0*n + 4*n**2 + 0*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61254 and 2.8.\nAnswer: 171511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o**2 + 113*o - 2. Let q(h) = -16*h**2 + 114*h - 2. Determine 7*g(v) - 6*q(v).\nAnswer: -2*v**2 + 107*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhaajawtbjtaht. What is prob of sequence hba?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5634? (a) -0.2 (b) 1\/3 (c) 6\/7 (d) 2 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + l - 23. Let h be v(4). Suppose -6*y + 3*d + 378 = -y, -2*d + 8 = 0. Let b = y - h. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:49 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/5 - 6943*j**2\/5 + 342658*j\/5 + 69920 = 0 for j.\nAnswer: -6992, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*l + 843*l = -483*l - 146172 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.99, -0.4, -0.2 in descending order.\nAnswer: -0.2, -0.4, -2.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13845684 and 1819813.6.\nAnswer: 15665497.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*h + 6. Let n = 23 - h. Suppose t = v - 2 + 5, 5*v - n = 2*t. What is the least common multiple of 7 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001256998457 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 809*o - 730. What is the remainder when 1743 is divided by b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 5 + 1026823836970\/(-93859213488). Let c = 105878\/1649199 + l. Let s = -3\/3557 - c. Find the common denominator of s and -13\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -12178, 0?\nAnswer: -12178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -105550370*j**2 + 105550365*j + 5 = 0.\nAnswer: -1\/21110074, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/((-16)\/(-4)) + -1)*36\/(-3264). Does l = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 6 = 25*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 33*i**2 + 35*i - 27. Give z(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210131202 (base 4) to base 11.\nAnswer: -a222a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 324 = 2*c, -2*c = -28*r + 25*r + 192. Calculate the greatest common factor of r and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-126) + -1 + (-60)\/(-14). Let d(i) = i - i**p + 15 + 0 - 25. Give d(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42+-49304.36\nAnswer: -49303.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1608772 and 438756?\nAnswer: 4826316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -998508*d - 1364*d**2 + 998508*d to x + y*d + z*d**2 and give z.\nAnswer: -1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20000222221110 (base 3) to base 16\nAnswer: 30f45f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -9. Let i be 10946\/10 + 4\/10. What is the common denominator of (r\/(-30))\/((-36)\/i) and 13\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35041 + -700403\/20. Let b = 85\/4 - g. Sort b, 1, -1\/48.\nAnswer: -1\/48, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose 2*p + 15 + 33 = 5*y, 3*y + u*p - 16 = 0. Suppose y*n + 12 = 12*n. Solve 3*f = -0*f - 9, 3*k + f + n = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1584, -1604, -1624?\n\"Answer: -20*t - 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 510232369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 5*o = -17*r, 4*o = -5*r - 41 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**2 - 2633313 + 103*j**3 - 102*j**3 + 2633313.\nAnswer: j**3 + 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 10*o + 18 = 0. Suppose b = 4*z + 2, 2*z + 0 = o. What is the smallest common multiple of b and 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*t - 7 = 0, 63 = -5*a + 2*t - 27 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138648 + 138728. Suppose -5*g - u + 83 = -161, 2*u = 3*g - 136. Calculate the highest common factor of n and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 2*r + 14, 2*v - 3*r - 6 = 0. Solve 3*p + v = 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u + 6. Let l be g(10). Suppose 2*t - 22 = -p - 6, -l = -5*p - 4*t. Is (-2*1)\/(p\/(-8757)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85194240*n - 26651188 wrt n?\nAnswer: -85194240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5728 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10212111 (base 4) in base 3?\nAnswer: -221211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {x: 1, c: 3, b: 2, g: 1, t: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(1235\/285).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/4 - 127*c**4\/2 + 1643*c**3 - 3203*c**2\/2 - 965613*c\/4 + 1551825 = 0. Calculate c.\nAnswer: -12, 11, 19, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/19)*n*n*n**(2\/19)\/n*n**4*n\/(n\/(n*n**(-10))))**(-24))**(-8\/15) assuming n is positive.\nAnswer: n**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2014, -1, 5, -2.\nAnswer: -2, -1, 5, 2014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/15)\/(222\/185).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))**(2\/63))**(-9\/7) assuming v is positive.\nAnswer: v**(-6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*a - 39, -5*x + 61*a - 58*a + 63 = 0. Solve x*s - 13*s = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 <= -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34175?\nAnswer: 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 557*s - 1859 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2484 - 42.\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169971 is divided by 1032.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/20? (a) 1 (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 + 6*o**2 + o - 2. Let a be y(-1). Put 4, 12, a in decreasing order.\nAnswer: 12, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5*45\/150.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2\/8 - 1264068*f + 10112541\/8 = 0. Calculate f.\nAnswer: 1, 3370847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12755098 take away 847?\nAnswer: -12755945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 - 22*u**3 - 71*u**2 + 13*u - 3.\nAnswer: -12*u**2 - 132*u - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 - m**3 + 7*m**2 + 1 - 13*m**2 to b*m + d*m**3 + y*m**2 + a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y - 5950 + 20254 = -170*y - 284*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, n: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5729617 or -5729618?\nAnswer: -5729618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 2*m**4 + 0*m**4 + (-3*m**3 - m**3 + 5*m**3)*(0*m + 0*m - m) - 5*m**4 - 9*m + 9*m - 4*m**4 + 3*m**4 + 4*m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.9 equal to -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 742607*m**4 - 8*m + 25806638 wrt m.\nAnswer: 2970428*m**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338046 divided by 103.\nAnswer: -3282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 0, -149, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -4, 137, -187, -0.5, 0.\nAnswer: -187, -4, -0.5, 0, 2\/13, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -30. Suppose 3*s = 12, 36*d - 2*s = 33*d + 139. Put 5, d, f in increasing order.\nAnswer: f, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8281, 9876, 11473, 13072?\nAnswer: 14673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**2 - 11*a**2 + 0*a**6 - 7*a**6 wrt a.\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126484371 to the nearest 1000000.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0.14, 12 in descending order.\nAnswer: 12, 2, 1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obhp when four letters picked without replacement from {o: 1, h: 6, k: 1, p: 2, b: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -0.6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948 + 579*k - 948.\nAnswer: 579*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 38587.\nAnswer: -1\/38587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -30, 5.\nAnswer: -30, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.018 - 1.852. Round z to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*o**3 - 15*o**3 + 0*o**3)*(6 - 20*o + 5 - 71*o - 11).\nAnswer: 4550*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-15) - 89*(-1)\/5. Suppose -15*s = -y*s + 18. Let g(m) be the third derivative of -m**6\/120 + m**5\/12 + m**4\/6 + m**3 - 3*m**2. Determine g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f**4\/4 - 67*f**3 - 955*f**2\/4 - 174*f = 0.\nAnswer: -232\/9, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 19 + 35 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 230, 265, 308, 359, 418, 485, 560?\n\"Answer: 4*d**2 + 23*d + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 733 + -733.4. Suppose 10 = -h + 6*h. What is the nearest to -2 in -1, h, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -581*c*l**3 - 2*c*l + 2*c - 2*l**5 - 335*l wrt l?\nAnswer: -3486*c*l - 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:09 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 64710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a**3*m**2 + 84*a**3*m + 77*a**3 - 4*a**2 - 8*a - m wrt m?\nAnswer: 30*a**3*m + 84*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 10. Let j be i(2). Put 3, j, -3, -1 in ascending order.\nAnswer: -3, -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 117?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -7, -2, 32, 1, 5 in decreasing order.\nAnswer: 32, 5, 1, -2, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2559*v**2 - 2*v - 84. Is n(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.96. Let f = k - 0. Let i = f + -0.04000009. What is i rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:55 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*k + 150 + 16 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 112*v - 127*v in the form g + n*v and give n.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-39)\/36 - 3\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1980069 rounded to four decimal places?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502 divided by -244881.\nAnswer: -502\/244881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*r - r - 791, 0 = 4*u + 3*r + 1066. Is (u\/10)\/(1\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 133845 - 2*o + 2*o - 133835.\nAnswer: 3*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18150340 divided by -349045\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444450260 to the power of 1\/8, 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 29143444*b**2*g**2 - 3*b**2*g*m + 288*b*g*m - b*g - 42*g**2 + 667*m wrt b.\nAnswer: 58286888*g**2 - 6*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = a - 20, -186*h = -3*a - 190*h + 36 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - 4174?\nAnswer: -4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1489, 3015, 4623, 6355, 8253, 10359, 12715?\nAnswer: 15363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15910 - -3277. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**8*s))\/(s*s*s**(-1)) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -2*l**6\/3 - l**5\/60 - 85*l**3\/3 - 4*l**2 + 13*l. Differentiate z(y) with respect to y.\nAnswer: -240*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-30))\/((-302)\/(-755))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7511 divided by -1592?\nAnswer: -7511\/1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 11*m - 20. Let o be c(-8). Suppose 0 = -o*p + s - 4*s - 200003, 3*p + 5*s + 150005 = 0. Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 8*x**2 - 12*x. Determine f(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -367 + u**2 + 0*u - 6*u + 363. Let v be r(7). Which is the biggest value? (a) -5 (b) -1 (c) -0.3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -565479, -565483, -565489, -565497, -565507, -565519, -565533?\n\"Answer: -q**2 - q - 565477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -258, -468, -644, -810, -990, -1208?\n\"Answer: -4*u**3 + 41*u**2 - 305*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4390 and 24370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 168a3 - -5?\nAnswer: 168a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 10 + 4)*(3 + 0 + 1)*(3 + 0 - 1 + y**5).\nAnswer: -56*y**5 - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 182*n**2 + 172*n - 594. Let r be j(-90). Solve 0 = -s + 124 - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1480 and -57\/220.\nAnswer: 16280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 25. Suppose 27*s - 28*s + 70 = 0. Calculate the greatest common divisor of n and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -61, -81, -109, -145, -189?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.066\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/18)\/((-12)\/18). Let m(j) = -j**3 + 5*j**2 + j - 4. Let u be m(5). Let b(q) = -3*q - u + 2 - 4. Give b(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008*z - 2636*z + 808*z + 815*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 = -76*q + 79*q, q - 1 = -4*h. Let u = 133.5 - 134. What is the smallest value in h, 0, 2, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3420236.\nAnswer: 2, 855059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 - 18 - (-158 + 175)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from uqqqquu?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.4 + 15.3. What is the second smallest value in 8\/3, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 4. Let b(q) = 94721 - q - 94721. Determine y(b(l)).\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1 - 0) - 0. Let k(c) be the third derivative of c**6\/60 - c**5\/30 - 5*c**4\/24 + c**3\/2 - 4*c**2. Is 12 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.1, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14318*s - 3 = -14315*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let w(z) = -349*z**2. Give o(w(v)).\nAnswer: 121801*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11425119 greater than or equal to 11425118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 2 q when four letters picked without replacement from xqyyhiahqqiixia?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x = -l + 3, 2*l - 4*x - 14 = 0. Let r = -4 + 8. Suppose -3*u = -4*b - 16, 5*u + 3*b - 2*b = -r. Solve u = -2*v + v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -963 + 687. Let k(t) = t**3 - 11*t**2 - 14*t - 3. Let a be k(11). Let g = a - h. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*4\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 - 1503*l**2 + 14805*l - 36825 = 0.\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -82*n**2 + 3 + 81*n**2 - 3 - n. Let z be k(0). Factor 0*r + z + 0*r**2 + 0*r**3 + 1\/2*r**4.\nAnswer: r**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 11*p**2 - 17*p + 12. Let n be (-10 - -12)*(69\/2)\/(-3). Let u = n - -14. Let d be j(u). Solve -4*s = d - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 15*u - 2*a + 3639, -4*u - 4*a = -2916. Let l = u + -210. Let m(x) = -24*x - 1. Let t be m(-2). Calculate the highest common divisor of l and t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 61 - (40 - 13 - (12 - 3))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1 = -3*y. Suppose 4*t = -2*l + 94, 2*t - 48 = l + 1. Let n be (1\/4)\/(t\/160). Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2. Let i(f) = 3*f**2. Let v = 2689 - 2691. Calculate v*i(j) + 9*p(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23260687*n*o**3 - 142*n*o - 48*n + 5*o**2 - 2*o wrt o?\nAnswer: -139564122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22018106413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 25*z**3 + 158*z**2 - 57*z + 61. Is m(27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368794\/7 greater than 1052686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 24*i + 49. Determine c(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -96, -237, -444, -723?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/7)*y**9\/y*((y*y**1)\/y)\/y**(11\/3) assuming y is positive.\nAnswer: y**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7302 - -6938. Which is the smallest value? (a) -2 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -4*q**3\/3 + 704*q**2 - 123904*q + 1033. Factor n(x).\nAnswer: -4*(x - 176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x + 34*x = 3*d - 4, -4*d = -4*x - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1006993*k. Let f(y) = 9*y**2. What is f(v(a))?\nAnswer: 9126314118441*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1858719535 rounded to five decimal places?\nAnswer: -0.18587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-36) + (-3)\/(-6). Let g = -142\/99 + u. Let v = 123 - 123. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192) + sqrt(192))*-6 + sqrt(192) + sqrt(192) + (sqrt(192) + -2*sqrt(192))*-1)\/(sqrt(60)\/(sqrt(120)\/sqrt(192))).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -1. Let p = -0.7 - z. What is the second smallest value in p, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 4*j**4 - 3*j**4 + (-3 - 4*j**2 + 3)*(4*j**2 - 4*j**2 - j**2) - 2*j**4 + j**4 + 0*j**4 + 2*j**2 + 2 - 2*j**4 - 2.\nAnswer: 2*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*m - 219547 + 219421, 21*s - 714 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/4*u**2 + 1\/4*u**3 + 77\/4 - 153\/4*u.\nAnswer: (u - 1)**2*(u + 77)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/3)*s*s**(-3\/7)*s*s**(-2\/15)*s**(-2))**37)**(-3) assuming s is positive.\nAnswer: s**(-2997\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 166, 372, 578, 784, 990, 1196?\n\"Answer: 206*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 57\/4 (c) -9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -6\/11, 2\/5, 2\/49713, 2\/79?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide -4 + 7 + (8 - (-11755 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631476 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 1) + 3 - 11) + (10 - -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/p**(1\/3))\/p)))**(22\/9))**(4\/13)\/((p**5*p\/(p\/((p\/p**(-1\/4))\/p)*p))\/((p**(-6)*p)\/p**(-4))) assuming p is positive.\nAnswer: p**(-7723\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f - 146 = 0. Let u = -43 + f. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 4*s - 3. Let a be z(2). Let c be (11 - 1)*-1*2\/(-5). Suppose 0 = -3*j - 15, 4 = 2*g + 3*j + 1. Solve -c*r = a - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, -68, -157, -244, -329?\n\"Answer: s**2 - 94*s + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = -t, 0 = -5*t + 5*c - 143 + 153. Solve -5*k - t*h + 4*h - 10 = 0, 0 = -5*k - 3*h + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let d(h) = h**2 - 5985*h + 36. Determine v(d(y)).\nAnswer: -2*y**2 + 11970*y - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 450*p + 2 + 28*p + 67*p - 2 to the form w + u*p and give u.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - 2739\/(-15). Let j be l\/2 + (-9)\/6. Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 + a - 1. Let o be ((-7)\/(-21))\/(1\/3). Let k be c(o). Is (3 + -2)*(k + 1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + (-24)\/(-9). Suppose -3*v = 15, 2*i = -j*i + v - 5. Sort 3, i, 2 in descending order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19781.10381 to zero dps.\nAnswer: -19781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 335*k**4 - 5*k**2 - 1787*k.\nAnswer: 4020*k**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.0442 - -0.0442. Let y = 0.017 + 42.983. Let l = y + s. Which is the nearest to 3? (a) -4 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f + 4. Suppose 0 = -5*g - 8 - 7. Let o be w(g). Let t(n) = -107 + 227 - 123 + 9*n - 8*n**2 - n**3 + 2*n**3. Determine t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 4.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t - 5*w - 437, -4*t = 6*w - 426. What is the least common multiple of t and 28?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 0)*(60\/(-18) + 2). Let s be ((-4)\/5)\/(v\/560). What is the derivative of 60*x**3 - s*x**3 + 59*x**3 + 29 wrt x?\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-199)\/(-3) - (-1)\/(-3). What is the greatest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 65. Let u be a(24). What is the greatest common divisor of 187 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1719 divided by 1.\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from hfavifw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011501377981 to 7 decimal places.\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let b(d) = -6*d - 6. Let s = 1864 + -1050. Let y be (-12)\/54 - s\/(-18). Suppose -4*j = -29 + y. Give j*r(m) + b(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y - 2*y)*(-7*y**2 + 2*y - 2*y)*(-6*y + 3*y + 0*y) to the form l*y**2 + q + d*y**3 + t*y**4 + k*y and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 + 7*p. What is u(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-36)\/8) + 9240\/(-16). Let b = u + 594. What is the least common multiple of b and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 63. Let u = -28 - b. Let f = u + 9. Calculate the highest common factor of f and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 2 = -4*n, -2*g = n - 3. Suppose -307 = 3*u - 601. Calculate the remainder when u is divided by 25 - n - (-4 - -5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418369672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = f - 4031, 3*i - 4*f = -2405. Let k = i - -828. Solve 5*g + 0*g + 4*a - 22 = 0, 0 = -3*g - 5*a + k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87543873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -190 + 169 - (3 - -29)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20064 and 3855879?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117711310 - 4?\nAnswer: -117711314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*v - 92*v = -56. Let g be 5\/((-10)\/(-8))*-29. Let y = 180 + g. Calculate the greatest common factor of y and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**5 + 4*t**4 + 4*t. Let g(w) = -3*w**5 - 5*w**4 - 5*w. Let m(h) = -4*g(h) - 5*z(h). Solve m(c) = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -862 (b) 18\/7 (c) 5 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 2\/9 (c) 0.4 (d) -3 (e) -1\/385 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411222134 (base 5) in base 2?\nAnswer: 10101001111111011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Let j be 2\/7*12\/(-32)*3024\/(-162). Sort -4, v, j in decreasing order.\nAnswer: v, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (4 + 12)) + 6 - -43?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -z + 5*x, z + 5*x - 8 = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.29 or 69261?\nAnswer: 69261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l + 21 - 23 + 240*l**2 + 7*l. What is the hundreds digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/30 + c**4\/12 - c**3\/6 - 103*c**2. Give d(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.013979 seconds in weeks?\nAnswer: 0.0000115971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 264287\nAnswer: -5\/264287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**2 + 32*f**4 - 14*f**5 - 15*f - 22*f**3 + 15*f = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1450\/17, 0.03, -0.1, -4, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**7\/1260 + s**6\/90 - 11*s**5\/120 + s**4\/6 + 6*s. Let i(f) be the third derivative of j(f). Is i(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1156572, -2314252, -3471932, -4629612?\nAnswer: -5787292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 3*q - 3, 5*b + 4644 = 4*q + 4631 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t - 5*f = -96*t - 40, -7*t = 3*f - 32 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*p = 108*p - 58320. Calculate the greatest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-195))\/(4 - (-438)\/(-108)). What is the closest to -0.2 in g, 0.3, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + 7 - 2. Suppose 0 = i*t + t. Suppose t = 4*f - 5*o - 35, 3*f + 3 = 3*o + 30. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1800\/24*((-30)\/(-35))\/((-270)\/189)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1120 + 64. What are the prime factors of (-1)\/((-28)\/t) + 2\/(-7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 292*w + 85039.\nAnswer: (w - 614)*(w - 554)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 407*d - 420*d + 117 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -11*k**8\/112 - 3*k**5\/20 - k**3\/6 - 34*k**2. Find the third derivative of d(m) wrt m.\nAnswer: -1980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 - 2. Let p be s(-2). Let h(l) = 2*l + 2. Determine h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 + 14*s - 1. Determine r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -16, -38, -68?\n\"Answer: -4*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 602 and 3913?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g + 20. Let o be j(0). Solve -o = -4*m - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzrvgvv. Give prob of sequence vv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -196, -502, -1010, -1720, -2632, -3746?\n\"Answer: -101*n**2 - 3*n - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 1225 = 1393 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41628 - 7*c + 41628.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2751, -3648, -4715, -6036, -7695, -9776?\n\"Answer: -14*j**3 - j**2 - 796*j - 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(((g**(-21)*g)\/g)\/g)*g)\/g)\/g*g*g**(-13))\/(g**(-9\/5))**(-1\/4) assuming g is positive.\nAnswer: g**(191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -37, 1, 32, -2, 5 in decreasing order.\nAnswer: 32, 5, 1, -2, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -441 and 5?\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r - 12*r - 2*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**6\/360 + a**5\/30 - a**4\/6 + a**3\/2 - a. Let j(k) be the second derivative of h(k). Let j(n) = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -175833, -175832, -175831, -175830?\n\"Answer: z - 175834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174334298 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 51135?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-14)\/(-4)))\/(24\/192)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 0*o + 1887 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 58, 84, 110, 136, 162?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, 1.1, 6608?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/24*3*(-4)\/8. Solve v + g = 6, -44*v - m*g = -41*v - 23 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m. Let u be 1\/2*m\/(-1). Let d = u + 1. Calculate the least common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/4, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Suppose 3*l - j = 10, 5*j + u = 5*l - 7. Suppose -4*d = 4*v - 8*d - 3800020, -l*v + d + 3800005 = 0. Round v to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -4*q - 5*d - 169, 0 = 5*q - 3*d - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 7\/10*o**5 + 9*o**2 - 22*o + 0*o**3 + 0*o**4 + 0. What is the first derivative of h(n) wrt n?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2*(-4 - (-889)\/(-14)). What is the derivative of 197 - 442 + z - 67*g wrt g?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x + 311. Let t(u) = u + 50. Let s(o) = -6*t(o) + w(o). Let k(h) = 12*h**2. What is k(s(y))?\nAnswer: 588*y**2 + 1848*y + 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 1. Let d = 407 - 403. Let b(z) = 17*z + 4. Determine d*b(u) + 18*c(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 7*b + 5*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -28*r**2 - r. Let z(p) = p**2 + 4*p + 3. Let o be z(-2). What is c(o)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/12 + q. Suppose 3 = 2*y - 1. Let n(f) = f - f + 3*f**2 + 0*f**y. Give n(s(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/180 + (-9)\/(-36) - 134\/330\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:45 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/36 - 21\/(-4). Suppose -14 = -3*d - n*g, 3*d + 5*g - 10 = 4*g. Solve 2*o - 1 = -4*k + d, -k + 1 = -2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*f + 327*f**2 + 227*f - 467*f to o + z*f + g*f**2 and give g.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*u + 13232 = -778 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001016393 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28319778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 37831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057773 rounded to 5 dps?\nAnswer: -0.00578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(50)*-1)))**2 - sqrt(10)\/(sqrt(10)\/sqrt(2)).\nAnswer: -sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(102) - (1*(sqrt(102) + 1*sqrt(102)) + sqrt(102)))*3)\/((sqrt(72) - (sqrt(72)*2*3 - sqrt(72)))\/sqrt(12))*-4.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20342240141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 4. Sort r, -1, 2 in decreasing order.\nAnswer: 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 5*b + 4*b - b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11150 + 29516. What are the prime factors of x?\nAnswer: 2, 3, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3, 1504, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60506 is divided by 4287?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {t: 1, g: 3, l: 1, i: 1, c: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*a**3 - 411 - 54*a**3 + 1245 - 413 + 333*a**3 - 421.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -197*y**3 + y**2 + 1. Let f(i) = 3*i + 20. Let q be f(-7). What is the tens digit of l(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 27*g**2 + 26*g + 134. Let r be q(28). Calculate the greatest common divisor of r and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74.8 + -75. Let i = 711.3 + -711. Which is the fourth biggest value? (a) 2\/5 (b) z (c) -0.5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11681694 at least 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -8*z + 44. Let b(x) = -x**3 + 2*x + 1. Let d be b(-1). Let l be (d\/(-2))\/(4\/z). Solve l*a - a = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - 1)*9\/12. Let r be 0 + (-2)\/(-6) + 228\/y. Which is smaller: -97\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*t + 255*t - 333*t - 243*t - 207*t - 384*t.\nAnswer: -815*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 2380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + -114. What is the derivative of -16*v - 44*v**2 + 38 + 17*v**2 + 13*v**2 + 13*v**r wrt v?\nAnswer: -2*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -291? (a) 43 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 766182 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(352)*2*-3 + sqrt(352))*4)\/(sqrt(110)\/(-2*sqrt(10)) - (sqrt(99)*2 - sqrt(99))))**2.\nAnswer: 1843200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0)*(-5*j**3 + 3*j**3 + 4*j**3 + (-j + 5*j - 3*j)*(-j**2 + j**2 + j**2) + 28230*j + 133*j**3 - 28230*j).\nAnswer: 136*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 25405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 6*k - 4*k - k - 1. What is the tens digit of j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + g**3 - 3*g**4 - 13 - 2*g + 5 + 10 to the form t*g**2 + x*g**4 + u + l*g**3 + r*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 455*o + 10259. Let n be a(-50). Suppose -4*g + 0 = -x - 1, 0 = 2*g - 8. Solve -4*d + 3*w = x, -4*d + n = 3*w - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/((90\/6)\/(-120))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -7*g**4\/24 - 7*g**3\/6 + 3*g**2. Let j(v) = -10*v - 10. What is -5*j(y) + 7*n(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**3 + 17*b**3 + 13*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwbleemlmllm. Give prob of sequence wm.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102293237, -102293236, -102293235, -102293234?\nAnswer: -102293233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(931) + sqrt(931) + -3)**2*-3 + 2)*-3.\nAnswer: -100773 + 2268*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/5)\/12 - 960\/(-400).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 3105640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, -0.05, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18568095*y**2 - 18568031*y**2 + 37136181*y**2.\nAnswer: 55*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -10 + 9 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/11 + 13*y**3\/11.\nAnswer: y**3*(y + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 - 3*c**2 + 2. Let h(m) = m**3 - m**2 + 1. Determine -3*h(z) + u(z).\nAnswer: 3*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194536890 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 8 - 16) + 13 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770 and 1386.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-274)\/685*(-2)\/16*5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9362501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 604, 1194, 1784, 2374, 2964, 3554?\n\"Answer: 590*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 27. Suppose 0 = -7*q + 75 + d. What is the remainder when 20 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**10\/50400 + q**6\/360 + q**5\/12 + 2*q**2. Let z(s) be the third derivative of u(s). Differentiate z(j) with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31652 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-2 - -19) + 3. Let g(x) = 11*x - 16*x - t*x + 16. Let r(c) = 7*c - 5. Calculate -5*g(z) - 16*r(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*((0*o - 4*o - 2*o)*(-2 - 3 + 7) - 5*o + 5*o - o).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30110 + -10?\nAnswer: 30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0) + (-1)\/1. Suppose -p*h + 2 = 16. What is the remainder when 2\/h + 846\/21 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 3, l: 1, d: 2, y: 4, f: 6}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -6430\/499 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 18*y**2 + 2*y + 1\/3*y**4 - 4*y**3 + 2. Let s(v) be the first derivative of a(v). Solve s(h) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 12) + (-37 - -21). Put c, -2, -7, -1, 5 in descending order.\nAnswer: 5, -1, -2, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -325 + 328. Suppose -c*j + 32 = -f, 4*j + 5*f = 6*f + 41. What is the least common multiple of j and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2108 + -1.2108. What is the nearest to -0.1 in 7\/5, t, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (44\/14)\/2. Let d = -0.059 + -0.171. Let m = d - -0.43. What is the nearest to 0.1 in m, q, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f = 580 - 156 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 2\/11, -81, 1 in decreasing order.\nAnswer: 1, 2\/11, -0.2, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*q + 572*q - 107*q + 350*q - q - 3*q + 2*q - 6 + 6 - 3*q + 4*q + 0*q - 3*q + q + q - 4*q + (2*q + 2*q - 3*q)*(0 + 3 - 5) - q - 1 + 1.\nAnswer: 728*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/4, 1\/8, -2, 83 in decreasing order.\nAnswer: 83, 3\/4, 1\/8, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1642030 and 4458.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22100011 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h. Let m be x(-5). Suppose g = -2*u - 13, -5*u - 5*g - 18 = 17. Calculate the common denominator of -47\/9 and (u\/m)\/(2\/214).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49058354*f**2 - 14523015*f.\nAnswer: -98116708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/5 + 10984462*f\/5 + 30164601357361\/5 = 0. Calculate f.\nAnswer: -5492231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -13, -993, 1, 2 in descending order.\nAnswer: 3, 2, 1, -5, -13, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + -13 + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -3.6. Let a = -332.7 + 332.9. What is the second smallest value in j, 5, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5\/3, -34, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Suppose 156 = -v*d + 27. Let s = -30 - d. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**3 - 10. Let m(k) = -3*k**3 - 6*k**2 + 9. Let v(o) = 3*o**3 + 7*o**2 - 10. Let j(w) = 7*m(w) + 6*v(w). Give -7*j(i) - 2*u(i).\nAnswer: 3*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 5303.\nAnswer: 2\/5303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 73. What is the second smallest value in -0.2, -5, l, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063608 rounded to six dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1688*n**4 - 22036*n**3 - 61964*n**2 - 3312*n = 0 for n.\nAnswer: -9, -4, -23\/422, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67873, 135777, 203739, 271789, 339957, 408273?\nAnswer: 476767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2386551, 2386549, 2386545, 2386545, 2386555?\nAnswer: 2386581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3 - 4*n + 3*n + 6*n. Let f be r(3). Let z = f - 4. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67817321, 135634624, 203451925, 271269224, 339086521, 406903816?\n\"Answer: -d**2 + 67817306*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3975, -5, -9, 1, -2, -196 in increasing order.\nAnswer: -3975, -196, -9, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 + 11*x**5 - 3*x**5 + (-x**2 + 4*x - 4*x)*(5*x**3 - x**3 - 3*x**3).\nAnswer: 11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 - 39 = w + k, 16 = -4*k. Let b = w - -543. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 7*q + 28945 = 28910, -4*f + 15 = 3*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269578611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.4 + 9.2. Let m = 37 + j. Which is smaller: -5\/3 or m?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1005 (base 8) to base 10.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:27 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 47*z - 124. Let c be q(12). Let f = -133 + c. List the prime factors of f.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31528 or -31529?\nAnswer: -31529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*y = l + 4, -2*l = -4*y - 8. Find the second derivative of w + 6*w**l - 12*w**2 - 5*w wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586151310 rounded to the nearest 100000?\nAnswer: -586200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*n + 13, -40*l + 3*n + 32 = -44*l. Put 6, -24, l in ascending order.\nAnswer: -24, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00474807 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*b**2 - 11*b**4 + 18822*b**3 + 13*b**4 - 19072*b**3 - 512*b = 0 for b.\nAnswer: -2, -1, 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91882 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -a45 (base 14) in base 6?\nAnswer: -13205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1832354327 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1525*f. Let z(y) = 9*y**2. What is j(z(o))?\nAnswer: 13725*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25\/11, 29.\nAnswer: -25\/11, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 - 3*s + 7. Let t be l(-6). Let g = -160935 - -160932. Which is the nearest to -5? (a) 3 (b) 0 (c) t (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-12)\/(-3)) + 9 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4883324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-5)\/20)\/(-6*(-6)\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18204*n**2 - 6078*n**2 - 6050*n**2 - 6071*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-8))\/((-135)\/360). Suppose -4*r + 3 + 1 = 0. Suppose -3*i - r = -n*i. Which is smaller: -4\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 10858804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*r**6 + 2*r**3 + 346*r**2?\nAnswer: -7560*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6104.48 and -12?\nAnswer: 73253.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 179*r - 176*r + 19 = 0, r = -2*b - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -8. What is the closest to 1 in -4, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d - 20. Suppose 2*r + d = -4. Let n(v) = -3*v - 5. Determine n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 6) + -7 - (2 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzizzfyif. Give prob of picking 1 y and 1 z.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 + -42?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*x**3 - 10*n*x**2 - 25*n*x - n + 605*x**5 + x**2 wrt x.\nAnswer: -12*n + 36300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4402 + 1155?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 123, 444, 1047, 2022, 3459?\nAnswer: 5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + a = 6, 2*y = 5*a - 2*a + 15. Solve -5 = o - 0, 0 = y*f - 4*o - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13635 and 496583973.\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1666606\/117 + -14245. Let y = -12763\/2340 - w. Calculate the common denominator of 87\/20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 62 = -3*a - a - 11, -5*a - 115 = 5*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 7*s + 6. Let f = -7 + 0. Let d be m(f). Differentiate -u**4 - 3*u**4 - 1 + d*u**4 with respect to u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 27. Suppose 30 = o*k + 5*c, -4*k + c = -4 - 5. Suppose -k*i + 0*i = -3. What is the closest to i in 0.5, -1\/4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1090, -1766, -1996, -1774, -1094, 50, 1664?\nAnswer: 3754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 720. Suppose 3*z - x = -2*z. Let r be z\/10 - (-2)\/10. Solve 3*s + 2*s = 5*c, 2*s - 7 = -r*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/203 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p + 7. Let s(u) = 3*u + 4. Let y(b) = -b - 1. Let n(z) = 2*s(z) + 7*y(z). Calculate -6*n(i) + r(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -730 greater than -731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106.4 + 111.4. Sort -5, y, -0.44, 0.5.\nAnswer: -5, -0.44, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -1\/3, -23, 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -12 - 0. Differentiate -864*l**c - l**3 + 4 + 864*l**2 with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {n: 5, x: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 4*a + 4 - 5*a + 2*a + a**2. Let r(b) = -2*b + 26. Let m be r(-7). Suppose 17*j = 22*j + m. What is z(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 1040 + 752. Let y = t + 239. Calculate the least common multiple of 9 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/4*(-4)\/(-3). Let a(d) = -26*d + 257. Let k be a(-7). Suppose -k - 935 = -c*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 2*y**2 + 16*y - 32. Calculate a(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6151941 is divided by 1122?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2950 = -4*q - 254. Let v = q - -1529. Find the common denominator of -17\/22 and v\/248*(-3)\/(-12).\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 + 11*r**4 + 167)*(8045 - 8045 + 46*r + (2 - r - 2)*(-3 + 2 + 0)).\nAnswer: 517*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 5*t**4\/8 + 2*t**2. Let w(f) = 3*f - 60 + 258 - 64 - 66 - 68. Calculate 4*n(q) - 22*w(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 279714 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -0.391016?\nAnswer: 12.391016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1300)*-1 - (-4 + (sqrt(1300) + -1)**2)) + (((sqrt(1300)*2)**2 + sqrt(1300))*5 - ((2*(0 + sqrt(1300)))**2 - sqrt(1300))).\nAnswer: 70*sqrt(13) + 19508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51301571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 240 = -3*v + m, m = 0. Let k(b) = -b**3 + 7*b**2 - 4779*b + 23892. Let c be k(5). Does c = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 7\/2, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -85312 divided by -1333?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-3824)\/32. Let f = -126 - h. Let j(v) = -v**3 - 5*v**2 + 6*v + 2. Let l be j(f). Calculate the greatest common divisor of 10 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgpnpnnugygunh. What is prob of picking 2 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -22*f - 4. Let j(t) = 23*t + 4. Let k(d) = -7*j(d) - 6*v(d). Differentiate k(g) wrt g.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71676415?\nAnswer: 5, 1861, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -320894*-34\nAnswer: 10910396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let m(o) = 0*o**2 + 41*o - 40*o - 4*o**2. Calculate m(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20709594 to three decimal places.\nAnswer: 0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 12*r + 190. Give n(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -601*c**2 + 9. Let i(q) = 1138293*q**2 - 17043. Give 6*i(t) + 11362*v(t).\nAnswer: 1196*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 336 + 4344. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(1\/3))\/s)*s*s*s*s\/s**(-2\/21)*s)\/(s**(-1\/4)\/s*s*s*s\/s**(-7\/5)))\/(((s*s*s**2)\/s)\/(s\/(s\/s**6)))**(-2\/27) assuming s is positive.\nAnswer: s**(3851\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-14)\/(-44)*(1220\/60 - 13)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/17 - 26*z**3\/17 - 522*z**2\/17 - 1894*z\/17 - 1400\/17 = 0. What is z?\nAnswer: -7, -4, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -448 + 449. Let z(q) = q + 19*q - 6*q + 10*q - 8*q + o. Determine z(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -362, -363, -368, -377, -390, -407?\n\"Answer: -2*q**2 + 5*q - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 27*c**2 - 29*c**2 - 13*c + 12. Let l be q(-10). Round l to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -55, -164, -379, -736?\n\"Answer: -6*y**3 + y**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31104 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -4 + (-8)\/(-2). Let b(v) be the third derivative of 0*v + 3*v**2 + 0*v**h + 1\/42*v**4 + 0 + 3\/140*v**6 + 3\/70*v**5. Find k, given that b(k) = 0.\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*t = -362*t - 99 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*j + 15, 2*w - j - 5 = -0*w. Suppose w*y - 335 = -3*y + 2*q, -5*y = 2*q - 585. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10. Suppose -3*l + 2 = -4*p, d*p = l + 6*p + 10. What is the remainder when l + -3 + 11 + 4 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*n + 9*n. Let s(l) = -l**3 - 9*l**2 + l - 5. Let q be s(-9). Let u(y) = y + 16. What is the remainder when n is divided by u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1083 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -148, -347, -636, -1021, -1508, -2103, -2812?\n\"Answer: -n**3 - 36*n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 11*l + 487800. Let v be ((-8)\/(-20))\/((-6)\/l). Round v to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(28) + sqrt(14)\/(sqrt(10)\/sqrt(80) + sqrt(2) - sqrt(2)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) -117 (c) 34237 (d) 1 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997297 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1281534.9814 - 1281639. Let t = 104 + d. What is t rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/9 (b) 2\/5 (c) -5 (d) 225261\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.051 - -0.051. Let v = 53 + p. What is the nearest to v in -0.2, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642036505 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 572 - 213047*q + 472 + 211265*q wrt q.\nAnswer: -1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12 and 55\/824.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 184 + 13 - 4*x + 4*x - 34. Let y be p(57). What is the second biggest value in -2, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -165. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -917 divided by 917?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1502661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286579716 a multiple of 2148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117262, 0, -4 in descending order.\nAnswer: 0, -4, -117262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-8)\/(-15). Let i = -0.09 + 0.06. Let y = i - 0.47. Which is the smallest value? (a) -4 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*q**2 + 3*h**3*q*y + 42*h**3*y + 8*h**2*q**2*y - 9*h*q*y + q**2 - 51*y wrt h.\nAnswer: 84*q**2 + 18*q*y + 252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37349?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g. Let s(w) be the third derivative of -7*w**4\/24 + 10*w**2. Determine o(s(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(1 + 2 - 4)*(-26 + 26 + 5*v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -47.16*-0.89181\nAnswer: 42.0577596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**4 - 11*c**3 - 39*c**2 - 19*c + 67. Let q(f) = -f**4 - 11*f**3 - 38*f**2 - 18*f + 66. Let y(p) = -2*k(p) + 3*q(p). Let y(o) = 0. What is o?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040745448 rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 2, h: 1, a: 1, l: 1, v: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7641000 rounded to the nearest one hundred thousand?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*q + 79. Suppose 5*x = 58 + q. What is the smallest common multiple of 14 and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20449300 rounded to the nearest 10000?\nAnswer: -20450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1722 + 452.\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 7*q = 16. Let y be 10*((-8)\/(-5))\/q. Solve y*h + f + 4 + 10 = 0, -4*f - 8 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*-1*2 + sqrt(2736) + 1 + 2*sqrt(2736) + sqrt(2736) + sqrt(2736))*5)**2.\nAnswer: 1800*sqrt(19) + 615625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - t**2 - 3*t - 2. Let h be l(-2). Let y be (2\/2)\/(2\/4). Let w = h - y. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 1 - 7. Suppose 0*x + z*x = 152. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20355 (base 6) to base 5\nAnswer: 41420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -4*z, 5*c - 6 = -3*z - z. Suppose -2*u = c*v + 2*u - 12, u = v. Solve 2*p + 7*g = v*g + 23, 5*g - 29 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031 + -12130?\nAnswer: -13211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let y(l) = l**3 - 6*l**2 + 5*l + 1. Let z be y(5). Let k be z\/3 - 24\/(-9). What is the closest to m in k, 0.02, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1 + 1)\/4)\/(15\/90). Suppose 0 = -4*j - 5*c + 16, -4*c = c + 20. Solve -6*k + j = -w*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1291\/15204 - -2\/1267. Let o = -143 + 149. Sort 4, o, s in decreasing order.\nAnswer: o, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -80, -63, -10, 91?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18419 and 11639?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*f + (-3 + 4 + 1)*(0*f + 3*f - 5*f) + (4 - 3 + 0)*(2*f + 2*f + 2*f) in the form g*f + k and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2201212100011020?\nAnswer: -2201212100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/58 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a - 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcu when three letters picked without replacement from ccpcpucuw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585134861, 1170269721, 1755404581, 2340539441?\nAnswer: 2925674301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -91.977. Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 622*g**3 + 2*g - 2. Let k be o(1). Let t = k + 423. List the prime factors of t.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by 18941.\nAnswer: -127\/18941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1. Let k(f) = 5*f + 2. Let g(q) = k(q) + s(q). Suppose 8*a + 28 = 4. Let d be 0 + -2 - (-5 + (3 - a)). Calculate g(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3570 - -3569.97. What is the nearest to o in -0.2, 2\/3, -2, -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 + -2. Which is the nearest to -2\/3? (a) -0.3 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.28 and -15.72?\nAnswer: 15.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 777422.02 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 730 and 2775460.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 5 + 1 + 10. Let c be (-1)\/(-1) - (2 - 133). Calculate the greatest common factor of c and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 3. Let a(o) = -39*o - 156. Let p(f) = -a(f) + 52*w(f). Let h(d) = -51*d**2. Calculate h(p(g)).\nAnswer: -8619*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*g - 5 + (3*g - 4*g + 0*g)*(-2 + 2 + 2) + 5*g - 2*g - 4*g - 2*g + 6*g - g + (-1 + 1 - 2)*(-3*g + 0*g + g))*(4*g**2 - 2*g**2 - g**2).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*t + 10 = 5*t, -10 = -2*t. Sort 4, g, -3 in descending order.\nAnswer: 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 + c. Let u be v(-1). Let m = 255 - 252. Is 12 a factor of 3 - (-27 - u - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -3 in decreasing order.\nAnswer: -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, 2\/3, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-3)*-1*-3. Solve -5*g + g = -f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523382 - -2?\nAnswer: 523384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 5*p**3 - p**3 + (4*p**3 - 3*p**3 + p**3)*(1 - 4 + 2) - 249 + 249 - 145*p**3 to a*p**3 + s*p + d + w*p**2 and give a.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 60 - 57 = 0. Suppose 3*f = -5*k + 1318, -4*k + y*f + 0*f + 1076 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 142, 527, 1160, 2041?\n\"Answer: 124*n**2 + 13*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**2 + 2*q**3 - 18*q**2)*(60 - 12 + 47).\nAnswer: 190*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 10. Does 7 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 4*j - 3*j)*(-2*j + 6*j + 0*j) to the form d*j**2 + l*j + q and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6880 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*t + 12*n**3 - 80*n**2*t + 3*n**2 + 2*n*t + 18*t - 17 wrt n.\nAnswer: -12*n*t + 72*n - 160*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 289522903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3626*g + 4090*g - 2824*g + 6002*g + 2248*g.\nAnswer: 13142*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -2*i - 4*k, -3*i + 2*k + 5 = 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-13\/2)\/m))\/m**(-8)*(m**0)**(-20))**(2\/15) assuming m is positive.\nAnswer: m**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3421*x + 3457*x - 216 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 21 + -9 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2168819.1 months to millennia.\nAnswer: 180.734925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-10)\/((-70)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)*18\/(-4). Let k = u + 31. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(851\/(-37)))\/((-42)\/(-20))?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*y - 70, 0 = -5*y + 4*y - 5. Suppose 26*t - 84 = c*t. Which is smaller: t or -61\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151952 and 608.\nAnswer: 5774176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854166967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 0.91185687.\nAnswer: -1.11185687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/301697 and 17\/301697?\nAnswer: 301697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2321 - 1?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (240\/(-50))\/(3\/(-10)) + -3. Suppose a*g - 356 = 11*g. What are the prime factors of g?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225656620 + 0?\nAnswer: -225656620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/((d**7*d*d)\/d))\/d)\/d)*d*d*d**(4\/9))\/(((d*d**(2\/9)\/d)\/d)\/d**4) assuming d is positive.\nAnswer: d**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(2*d - 2 + 2 + (7*d + 0*d - 3*d)*(2 + 0 + 0)) to f*d + j and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 + 121*r**3\/3 - 40*r**2\/3 = 0. Calculate r.\nAnswer: 0, 1\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 6274*s + 137550. Calculate z(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by (-10 + 2)\/1*(-5)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a. Let u(i) = i - 2. Let j be u(5). Suppose -2*v + 29 + 19 = 3*m, 0 = -j*v - 4*m + 71. Solve -5*w - y - 20 = a, -5*w - 5*y = v - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114) - (sqrt(114)*2 - sqrt(114))))\/sqrt(6))**2 + -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0823 + 0.0053. Let v = 1.8436 - g. Round v to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*c)*(-1461*c + 31*c**2 + 1460*c + 15*c**2).\nAnswer: -92*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 311.\nAnswer: 3\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*w = -418, 3*b - 4*w = 27 + 243. Suppose 5*s + 2*v - b = 0, 4*s - s + 2*v = 50. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54841396, 109682787, 164524176, 219365563, 274206948, 329048331, 383889712?\nAnswer: 438731091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:57 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-319)\/(-1287) - (-2)\/9 and -18\/65.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2225*t**2 - 658*t - 1. Let v be h(-1). Do v and 23055\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -31*n**4 + 5*n**3 - 31. Let a(i) = 0*i**3 + i**3 - 94 + 93. Let p(o) = 5*a(o) - s(o). Find the first derivative of p(x) wrt x.\nAnswer: 124*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -7*k**4\/4 + 10*k**3\/3 + 6. What is the third derivative of g(w) wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 4:59 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18942*p**5 + 2*p - 135.\nAnswer: -378840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/7, -1, -0.5 in decreasing order.\nAnswer: 4\/7, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 33 - 5\/6*i**6 + 0*i**2 - 5\/4*i**4 - 2*i**5 + 0*i**3 + 0*i. Factor g(d).\nAnswer: -5*d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (2 + (1 - -2)) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 1, x: 1}. What is prob of sequence uux?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-84510.\nAnswer: 1183140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0182864512 to six dps.\nAnswer: 0.018286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/90 and 139\/5110?\nAnswer: 45990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 14455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -3463\/330?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2. Let k(z) = -1367 - 1371 + 81*z - 1377 + 4115. Give k(q(l)).\nAnswer: -567*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510127919.\nAnswer: 7, 683, 106699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 629687*r\/2.\nAnswer: r*(r + 629687)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1558 divided by -27\nAnswer: -1558\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 + 288*f**3\/7 + 6326*f**2\/7 - 21516*f\/7 = 0. Calculate f.\nAnswer: -22, 0, 3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 369 + -363. Solve -11*l - 20 = -s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8157 - 1.8157. Let k = 0 + 0.1. Let i = k - 0.3. Which is the closest to 2\/5? (a) i (b) -5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.1. Let s = -176.44 + -0.56. Let u = s - -177. Which is the closest to f? (a) 4\/9 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/315 - w**6\/30 + w**5\/10 - w**4\/9 - 58*w**2 + 2*w + 13. Let f(q) be the first derivative of v(q). Factor f(n).\nAnswer: 2*n*(n - 4)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160.6 + -161. Put -1\/22, d, -1 in decreasing order.\nAnswer: -1\/22, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1361523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 101111010110 (base 2) to base 8\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*v - 1069, 0 = -3*a - v + 3448 - 241. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1461588 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 13 = -2*b, 4*s + b = 2*b + 19. Suppose -8 = -5*f - 3*p - s, -4*p = -f - 4. Solve 4*w + f*w = -4*l - 20, 4*w + 3*l = -17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122187887*w + 439222479.\nAnswer: 122187887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6816 - 34081\/5. What is the third biggest value in b, -0.1, 0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -41, -68, -111, -176, -269?\n\"Answer: -h**3 + h**2 - 13*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = 2. Suppose 5*h - 2*z = 35, -2*h + 4*z + 15 = -g*h. Suppose 2*r - 3*r - 16 = -s, -h*r = -s + 28. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14529439822 and 6.\nAnswer: 14529439828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 9*u**2 - 2*u + 17. Let y be z(-4). Let j = -92 - y. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*t + 29*t + 2191*t**4 + 5223 - 797*t**4 + 899*t**4 wrt t?\nAnswer: 9172*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023311 is divided by 23794.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1437*v = 1442*v - 7*c + 588, -596 = 5*v + c. Which is smaller: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 + 202.99823. Round m to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*u + 250, -20*u + 15*u - 3*w = -635. Calculate the remainder when 1426 is divided by u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y**2 - 147*y - 79*y**2 - 90*y**2 - 55*y**2 - 75*y**3 = 0. What is y?\nAnswer: -7\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208.8 times 0.153902\nAnswer: 32.1347376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122.14 - 122.1. Which is greater: 3\/11 or d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448867.2 rounded to the nearest one thousand?\nAnswer: 449000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7 - 2*i**2 + 45*i**3 + i - 22*i**3 - 22*i**3. Let k be t(3). Let a be (k\/3 - 2\/3)\/1. Solve 4*z = c - 7 + 3, z = c - a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300234 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: Let w = -31038\/13 - -142632\/65. Let v = w - -191. What is the common denominator of v and -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/24 + 1\/(-3). Suppose w*i - 72 = 2*i. Let f = -17 - i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1.7, -1\/4, 1\/3, -0.043 in decreasing order.\nAnswer: 1.7, 1\/3, -0.043, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ruuuruzumg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n. Let l be ((-80)\/30)\/((-2)\/21). Let o = l + -24. Let m(v) = 35 - o*v - 35. Give m(u(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7421148 and 2646.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 79*x + 6948. Calculate f(-52).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-39)*(-108)\/(-4680))\/(-1*5\/25).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 + -147.61. Let n = 0.41 + z. Which is the second biggest value? (a) -1 (b) n (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1878, -1, 2, -26 in increasing order.\nAnswer: -1878, -26, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 85, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15020*c**2*i**2 - c**2*i - 353*c**2 - 11*c*i + c wrt i.\nAnswer: 30040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l. Let v(f) = -64*f**2. Calculate v(y(c)).\nAnswer: -7744*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrydu. Give prob of sequence yd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -2*a - s, -3*a + 902 = -2*s - 0*s. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (17 - 37) - -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991.0329 nanograms to kilograms.\nAnswer: 0.0000000009910329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 54 = -3*z - 0*b, -3*z + 54 = -4*b. Calculate the lowest common multiple of 4 and 23\/6 + 3\/z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96766606 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216 - -217. Which is the closest to 5? (a) u (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77212797 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (575 - 2*d + d - 559)*(-5*d + 13*d + d).\nAnswer: -9*d**2 + 144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*n - 12, 5 - 6 = -v. Put 1, 0, -4, n in decreasing order.\nAnswer: n, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7628 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.01. Let u = 1099\/2 + -501. Let k = -48 + u. What is the second smallest value in -3, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648101.\nAnswer: 3, 7, 13, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 206545398 to the power of 1\/2, to the nearest integer?\nAnswer: 14372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00285 - 2.99715. Put -1, -2, -0.2, h, -128 in descending order.\nAnswer: -0.2, -1, -2, h, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**4 + j**3 + j**2 + j. Let h(d) = 3*d**4 + 6*d**3 + 19*d**2 + 18*d + 2. Let o(k) = -21*b(k) + 3*h(k). Find i such that o(i) = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 0, -40, -118, -246?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23178.\nAnswer: 2, 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209521979 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 117*j**2 + 125*j + 1026. Calculate the remainder when a(-118) is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9764706?\nAnswer: 2, 3, 7, 29, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-418) + 2*21\/684.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(-2\/47)*h)))\/h)\/h**(-3\/4))\/(h**5*h*h**(-18)) assuming h is positive.\nAnswer: h**(2389\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 1. Let l = 13.19 + -0.19. Let n = l - 16. Which is the nearest to n? (a) 0 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 321679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 225 = 20*x. Let t = x - 31. Suppose 5 = -4*g + 105. Calculate the remainder when g is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*g - 4253 = -2*d - g, 0 = 2*g. Is d at least -4251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1 + 7 + 306*r**3 - 309*r**3 - 5*r. Let v(w) be the third derivative of -w**6\/120 + w**4\/24 - w**3\/6 + 6*w**2 - w. What is o(x) + 6*v(x)?\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (14 - 30 - -11) - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.049 (b) -155\/2 (c) 0.5 (d) -15.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 5*h - 4*h, 4*h + 5*o - 23 = 0. Let w be (h - 3 - 3) + (6 - 4). Put 189, -4, w in decreasing order.\nAnswer: 189, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b**3\/b)\/(b**2*b**(5\/6)))**(-33) assuming b is positive.\nAnswer: b**(385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 69727.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v. Let d be b(0). Let l(a) = -2*a + d*a + 7*a - 59. Is 16 a factor of l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 4. Let w = -62 - -62. Determine f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 16. Suppose -p*r = -809 - 1111. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80342 and 1351942.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13657 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7528 + -7528.3. What is the third biggest value in -1126, b, 2?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-8) - 67*(-4997)\/(-17621)?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.8 - -20. Put 3, f, 2 in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -5*m**4\/4 - 31*m**3\/2 - 9*m**2 + 4*m + 29. Let c(q) = 0. Calculate q.\nAnswer: -6, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**9\/1512 - h**5\/120 - h**3\/2 - 3*h**2. Let c(a) be the first derivative of q(a). Find the second derivative of c(f) wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*u - 12582 = 109*u + 469*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(17) + sqrt(17))*-5)**2 + 1 - (2 + (sqrt(17) + sqrt(51)\/sqrt(3))**2 - (sqrt(17) + ((sqrt(119)*2)\/sqrt(7))**2))) + -3 + -2.\nAnswer: sqrt(17) + 1694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40667, -2\/7, -2\/691?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -399, -607, -821?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10173855 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 979 - 203. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1492 is divided by 497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083430329?\nAnswer: 7, 59, 83, 293, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 87. What is the first derivative of -96*g**4 + 44*g**4 - 1 - d wrt g?\nAnswer: -208*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*z + 18359, -x - 34*z + 35*z + 18362 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 5*b**2 + 18773 + 2*b - 18773.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2779, 2996, 3357, 3862, 4511?\nAnswer: 5304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1 + 0*t + 4 + t. Let a be r(-8). Sort -2\/5, -1\/8, a, -1 in ascending order.\nAnswer: a, -1, -2\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -145*y - 9 + 30 + 111*y. Let h be f(-11). Let z = -162 + h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b97d3 (base 16) to base 7.\nAnswer: -45124162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 - 2*j - 3. Let v(p) = -3*p**2 - 2*p + 1. Let s be v(1). What is the remainder when 17 is divided by f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*u**2 + 120*u**2 - 1 + 1 - 85*u to p*u + f + g*u**2 and give p.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1940, -7888, -17766, -31562, -49264, -70860, -96338, -125686?\n\"Answer: 2*s**3 - 1977*s**2 - 31*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 4*z - 5*z)*(-7 - 4 + 2*z + 13) as t*z**2 + g*z + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -61. Let q = 64488 + -64572. Is z less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -75, 0.3, -0.2 in descending order.\nAnswer: 0.3, 0.1, -0.2, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*y = 14, 2*d = -y - 261 + 268 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.9 + -7.6. What is the closest to 1\/4 in 1, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -1\/4 (b) -0.1 (c) -5 (d) 6 (e) 5\/3 (f) 7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39351 or -3344928\/85?\nAnswer: -39351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3\/17 - 236*r**2\/17 + 7810*r\/17 - 48400\/17 = 0.\nAnswer: 8, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/55, 0.4, 9805, -3\/4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-6)\/(-9))\/(1*(-6)\/(-693))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjjjyjyxyxjj. Give prob of sequence xjy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 5*q**2 - 2*q + 10. Let n be c(-4). Suppose -18*f + 2496 = -n*f. Calculate the greatest common factor of 117 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*a - 4, -5*a - 19 = -2*i - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -211*z + 1899. Let o be s(9). Solve 10*k - 24*k - 56 = o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 27.6.\nAnswer: 35.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*p + 326 = -0*o, 3*p + 15 = 0. Calculate the highest common divisor of o and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819647899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q - 5. Let n(k) = 2*k - 3. Suppose u - 13 = 2*b, -9*b + 14*b = -25. What is u*m(x) - 5*n(x)?\nAnswer: -3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 18. Suppose 88*r - 5185 - 3754 = 5317. What is the highest common factor of t and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.7034 millimeters in micrometers?\nAnswer: 631703.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 46*i = -24. Let b(o) = 4*o**2 - 21*o + 13. Calculate the remainder when b(i) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.374 + -8.374. Let n be (-4 - -1)\/((-1)\/(-1)). Which is the biggest value? (a) -2\/57 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*t**5 - 45*t**4*z + 2*t**3*z - 2*t**2*z + 2*t**2 - 300*z + 9 wrt t.\nAnswer: -7920*t**2 - 1080*t*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/5, -2\/3, -3, 0.0147?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 7*i**2 + 64*i = 0.\nAnswer: -64\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -158573*l - 7. Let o(y) = -158574*y - 6. Let p(m) = 4*n(m) - 3*o(m). Let a be p(7). Round a to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-6) + 3 + (-3)\/12. Which is the third biggest value? (a) 6\/11 (b) -1\/16 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k - 165 = -n, 3*k = -3. Calculate the remainder when n is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -30*l - 1. Let j be y(1). Let t = -55 - j. Is 16 a factor of -12*t\/9 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685221, 685215, 685205, 685191, 685173?\nAnswer: 685151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.26, 1.4, -0.5, 0.05, -0.7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 8*l**3 - 2085*l**2 + 22047*l - 19970 = 0.\nAnswer: 1, 10, 1997\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(28) + (sqrt(28) + sqrt(112))*4))\/(sqrt(20)\/(sqrt(5)*-2)*4).\nAnswer: -3 + 65*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from tknzzzvtttzz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 - 439. Suppose -162 = c*x + 540. Which is smaller: -75 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:52 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/2 + 81083*l**3\/2 - 821867421*l**2 + 2465318480*l - 1643491600 = 0. What is l?\nAnswer: 1, 2, 40540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -791\/4 + 199. What is the biggest value in j, -6\/7, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a - 7. Let t be u(5). Let h be 2\/t + (-12)\/105. Which is smaller: -2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(8\/9)\/l)\/l))\/(l*(((l*l**(1\/7)*l*l)\/l)\/l)\/l*l))\/((l*l**(3\/11))\/(l*l**(-23)\/l)) assuming l is positive.\nAnswer: l**(-16843\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 3}. Give prob of sequence jh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655351627?\nAnswer: 34273, 48299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 1, x: 4, v: 6, m: 4}. Give prob of picking 2 x, 1 b, and 1 v.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbnbzxlblz. Give prob of picking 1 n and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*q + 1 = 0, t - 3*q - 1 = -2*q. Suppose 162 + 6 = -7*y. Calculate the smallest common multiple of t and (y\/6 + 1)\/((-3)\/5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+976023064260\nAnswer: 976023064259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 47, 61, 79, 101?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/5 + (1870684\/20 - 11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -4 (c) -69859\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + 253. Calculate the remainder when x is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, 0.8, -1\/26?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/((-148)\/(-111))*10033\/(-158).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.4, 1, 8, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*y - 18 = 0, u - y = -3*y. Suppose u*n = 4 + 8. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.9 - 6.53. Let l = -0.0292253 - 0.6007417. Let t = l - x. What is t rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -39*n - 3263. What is j(-84)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**2 + 390855*o + 2345310 = 0?\nAnswer: -6, 78177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1595, -3258, -4979, -6752, -8571, -10430?\nAnswer: -12323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1962\/15)\/(-3*4\/(-1000)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -84676*j + 1270130. Determine c(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54158*s - 117692*s - 76833*s - 37419*s.\nAnswer: -286102*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 85*k - 171. Give m(87).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 1*sqrt(132))\/sqrt(3) + sqrt(44))\/(sqrt(32)\/sqrt(392)).\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 6 - (-5 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*y**5 - 93*y**2 + 1 wrt y?\nAnswer: -18360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17550766360 to the nearest one million.\nAnswer: -17551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -90. Let y = p + 62. Suppose -2*l = 2*f - y, 0 = -2*l - f + 1 + 7. Solve 5*q = -2*n + 8, l*q - q - 4 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46219 is divided by 215.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -527.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -3.45. Let q = p - 1.1. Let i = q - -0.15. What is the nearest to -1\/2 in -3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 33 = 2*v - 5*f, -v - 2*f = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-56)\/(-6)))\/((-564)\/(-5640))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52819.\nAnswer: 13, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 3.6, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t + 6. Let l(r) = -170*r - 34. Let i(k) = -34*f(k) - 6*l(k). Let z(j) be the first derivative of j**2 - 5. Determine i(z(w)).\nAnswer: 68*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/6)\/(-32 + 36))\/5.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 76800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5860415.5 rounded to the nearest one hundred thousand?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/120 and (-96483)\/(-15660) - (7 + (1 - 1)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let q(k) be the third derivative of k**4\/24 + k**3\/6 + 153*k**2. Let b be q(i). Solve 0 = 3*o - 4*n - 8, b*o - 6*n = -2*n + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 - 20 = 0. What is the remainder when x\/(-25) - 342\/5*-3 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from hffuhulaunh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 642274703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.9 + 25.89. Let b = -212.38 + 213. Let x = w - b. What is x rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704829 and 1133.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1824352, 1824310, 1824240, 1824142?\nAnswer: 1824016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**7)\/b)\/(b\/b**(1\/3)))\/(b\/(b*b*(b*b*b\/b**(-1)*b*b)\/b*b))**26 assuming b is positive.\nAnswer: b**(523\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -65. Let f(m) = -m**3 + m**2 + 3*m - 2. Calculate f(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Is (h - (-3 - 0))*-42 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 15. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1087*j + 2*n - 44 = -1084*j, 0 = -3*j + 4*n - 46 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 247 = -5*y - 4*p, 0 = -5*y - 3*p + 402. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - 5 - 2*-2. Solve -3*t + i = -8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*r**3 - 23*r + 1 wrt r.\nAnswer: -2046*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 2:20 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100101010100011110 (base 2) to base 14.\nAnswer: -49571c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1034 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 63. Let t be 1251\/36*(4 - (r + 1)). Suppose 5*y = t + 116. What is the remainder when y is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.1, 877, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 924857, 924719, 924493, 924185, 923801, 923347, 922829, 922253?\n\"Answer: g**3 - 50*g**2 + 5*g + 924901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -3*q - 3*f, f = -3*q + 77 - 442. Let o = q + 901\/8. Find the common denominator of 35\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11 - -3) + 19 + 2 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + 2002\/66. Let m(r) = -n - r + 31 + 2*r. Let b(a) = -53*a. Calculate m(b(x)).\nAnswer: -53*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 19116b77?\nAnswer: 19116b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 335.78 - 329. Let u = p - -1.22. Which is the smallest value? (a) -3\/4 (b) u (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46032 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 8*b**2 + 9*b + 18. Determine d(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 21\/9)*-3. Let i(c) be the second derivative of -c**3\/6 - 7*c**2\/2 + 7*c. What is i(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 1220037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.987 + -148.013. Which is the nearest to -1? (a) t (b) -1\/6 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 + 54*o + 4. Let f(r) = -4*r**2 + 55*r + 3. Give 6*f(g) - 5*v(g).\nAnswer: g**2 + 60*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**1\/t)*t)\/t))**(-44))**32\/((t**(-1\/3)*t*t**1*t)\/(t**(1\/4)*t\/t**3)) assuming t is positive.\nAnswer: t**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyppfbpy. What is prob of sequence yb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44\/117 + 2\/13. Which is smaller: 1\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/360 + l**4\/48 + 2*l**2 + 15*l. Determine n, given that s(n) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79 and 3558981.\nAnswer: 281159499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2094, 8354, 18796, 33426, 52250, 75274, 102504?\nAnswer: 133946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4148, 8467, 12866, 17345, 21904, 26543, 31262?\n\"Answer: 40*a**2 + 4199*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (-1 - 1 + 4)*(-26 + 3 + 9))*(-j**5 + 2*j**2 - 2*j**2).\nAnswer: 26*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - p = 1 + 5, 6 = -2*p. Let a = 8 - 4. Let w be 2\/a*-2*-15. What is the highest common divisor of w and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 2*d. Sort 7, d, 2.\nAnswer: d, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157753413392 + 0.7.\nAnswer: -157753413391.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15486*w**3 + 15482*w**3 + 3*w - 30969*w**3 - 3*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3621 + 2434*q + 3617 + 3623 - 10861 - 6905*q.\nAnswer: -4471*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -489, -490, -491, -492, -493, -494?\n\"Answer: -c - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -25*(2 - 24\/15). Let z be (18\/(-15))\/(90\/(-150)). Sort z, i, -5, 4.\nAnswer: i, -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/270 - 5*y**4\/108 - 14*y**3\/27 + 5*y**2 - 1. Factor q(p).\nAnswer: 2*(p - 7)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 9. Let p be z(-5). Suppose 5*q - 5*k - 20 = 0, -3*k + 16 = -2*q + p*q. What is the least common multiple of q and 86?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30543 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -411.4513 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 234429058 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esmaiasama. What is prob of sequence es?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3 + 25460536*k**2 = 0.\nAnswer: -12730268, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/90)\/((-5)\/((-375)\/5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-2 - (-134 + (-3 - 3)))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20132.5 minus -1?\nAnswer: -20131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3))\/s**(-1)*s*s\/s**(-9)*s*s**(-1\/6)*((s*s**3*s*s)**13)**(7\/8) assuming s is positive.\nAnswer: s**(977\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*o + 6, 3*g + 2*o = 29 + 5. Suppose -3*h - 14 = -g*h. Solve -2*t = a - 1, -h*t = 3*a - t + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -h - 2*m, m = 3*h - 2*m + 6. Let u = 0.11 - 0.01. What is the second smallest value in u, h, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.97 + 0.03. Let n = 61 - 61.3. What is the closest to 1\/3 in z, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1378*r**3*w*z**3 + 16*r**3*w*z**2 - 4*r**3 + 1259*r**2*w*z**3 + 7861*r*w*z**2 wrt z?\nAnswer: 8268*r**3*w + 7554*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329 + 332. Suppose n*d - 15 = 27. What is the remainder when 38 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r = -a + 56, -5*a = -4*r - 28. Sort -3, -5, r.\nAnswer: r, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 80?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 - 1 = 0. Is ((-72)\/(-30))\/(x\/(-20)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = -244. Let m = -67 - z. List the prime factors of ((-252)\/(-15))\/m*-40.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94797915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 2*q - 3. Let y(n) = -7*n**2 + 5*n + 6. Let i be 3\/(14 - 13)*2\/(-3). Determine i*y(f) - 5*b(f).\nAnswer: -f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 11*n - 3*n as k + r*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6612596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7104 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 9. Let p be m(-8). Solve -p = 3*d - 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:52 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 287, 3 in decreasing order.\nAnswer: 287, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19186703, 19186705, 19186707, 19186709?\nAnswer: 19186711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 996100, 1992289, 2988478?\n\"Answer: 996189*c - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-2)*(-7)\/(-14). Suppose -3*s = 2*s - i - 80, 0 = 3*i - p. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2. Let a(x) = -58381972*x**2. Give p(a(o)).\nAnswer: -23859182582261488*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2. Let z be (v\/(-2))\/1 - 2. Is (-194)\/(-6)*(-3)\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2 + p + 1. Let w be z(-1). Suppose -w*y + 0*y = -60. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-4 + -11) - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/501, 5, 0, 0.7, -2, -1\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 19*i**2 - 2*i - 5. Let b be y(-19). Suppose -24*u + 19*u = -325. Let w = u - b. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -14*z + 6*z. Suppose -z*c - 652 = -11772. Is 49 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 199655?\nAnswer: 1\/199655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15775674 and 14?\nAnswer: 110429718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1743122 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 50*c - 4. List the prime factors of k(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/24 - 217*b**3\/6 + 435*b**2\/4 - 33*b - 3. Solve t(k) = 0.\nAnswer: -435, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/23 or -1?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/7, -1\/144, 0.6?\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*z - 2169 - 7241 = -205*z + 18223 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12602031.6 rounded to the nearest 10000?\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(2 + 1 - 1) - 4 + 39 + 4)*(134 - 29*s - 134).\nAnswer: -1189*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-169)\/(-156) + (-5)\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10*j = 22*j - 495. Solve 3*v + 15 = 3*y, 5*v - 2*v - j = -3*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 27. Let y = 10 - -2. What is the second derivative of -12*z**2 - y*z + 0*z**2 + 2*z**2 + 3*z**s wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6890920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 2\/43 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7605832 is divided by 7706?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 10*z + 45 - z + 16*z**3 + 14 - z.\nAnswer: 16*z**3 - 5*z + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 2 + 11\/30*f**5 + 5\/6*f**4 + 0*f + 25*f**2 + 1\/60*f**6 + 0*f**3. Find i such that a(i) = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 545.976 and -0.05.\nAnswer: -27.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 697 divided by 2783\nAnswer: 697\/2783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/5 + 144*a**3\/5 + 3788*a**2\/5 + 43056*a\/5 + 178802\/5 = 0 for a.\nAnswer: -23, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 5*t + 4. Let q be k(-2). Suppose -5*f = -q*f + 59. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b + 2. Let y = -119 - -125. Let g(q) = -23*q - 12. What is y*g(k) + 34*p(k)?\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6608.0001021 - 6608. What is p rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 1 - 4 + j. Suppose -2*b + 6 = -a, 0 = -0*b - b + a + 4. Suppose -2*p - 16 = -b*x, 0 = 5*p + 4*x + 1 + 3. What is t(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16621 and 7555.\nAnswer: 83105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {h: 2, z: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/((-4042)\/(-329))*(-2)\/(-21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189100079 divided by -77851.\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*3\/21*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7232 divided by -2.\nAnswer: 3616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let w = 32 - 22. Let k be (w\/(-20))\/(1\/(-8)). Let a(v) = 0*v**2 - k*v**2 + 3*v**2. What is n(a(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 58*o**2 - 860*o - 3800.\nAnswer: -(o + 10)**2*(o + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + c**3 - 9*c**3 - 4.\nAnswer: -8*c**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/13*(-4615)\/(-3905)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25650\/798*(-21)\/(-18) and 69\/158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-165)\/110*1\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.3 and 1.818.\nAnswer: 7.8174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 - 19 = 151*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70391 + -70382. Let f(s) = -4*s + 2*s + 5*s - s**3 - 4*s + 9*s**2 + 20. Calculate f(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -58*n + 157*n - 50*n + 2 - 46*n. Let o(u) = u**2 - 7*u - 5. Determine 3*o(g) + 7*s(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:57 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d. Let a(m) = 11*m**2. Determine t(a(f)).\nAnswer: 143*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h + 4*h - 5*h + 0*h. Let l(o) = -3*o. What is l(v(x))?\nAnswer: 57*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -65. Suppose -s*d + 4*d = d. What is the nearest to d in -3\/2, 5, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -453 + 454. Which is the biggest value? (a) 0.2 (b) -3 (c) 2\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7288790.\nAnswer: 2, 5, 521, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + v - 27330 = 0, -5*v + 1020 = w - 12627. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/837620 and -121\/217000?\nAnswer: 41881000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1054)*(-62341)\/(-8044)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -506873*c - 2870026.\nAnswer: -506873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 58528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2820 and 23030?\nAnswer: 138180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 plus 124021966?\nAnswer: 124021967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 8*m**2 + 6*m + 6. Let l be h(-5). Let a = l - -668\/9. Factor 4\/9*y**4 + 0 - 4\/9*y**2 - a*y**5 + 0*y**3 + 2\/9*y.\nAnswer: -2*y*(y - 1)**3*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 140630*w**2\/3 + 81616336*w\/3 + 11891087968\/3.\nAnswer: 2*(w + 292)**2*(w + 69731)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 0*v - 2*v. Let c(f) be the first derivative of -975*f + 7 - f**3 + 975*f - 2. Give n(c(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - p - 29 = 0, -248*b + 244*b + 3*p = 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ea (base 16) in base 4?\nAnswer: 13222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -39*k - 4. Let z be s(-8). What is the tens digit of -2*2\/22 - (-12684)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/280 and 51\/116.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (3 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -3*d, t + d - 2499 + 2481 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.573.\nAnswer: 0.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12 (b) 6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v. Let m(n) = -7*n + 23. Let a be m(0). Let d(j) = -36*j**2 + a*j**2 + 57*j**2. Calculate k(d(y)).\nAnswer: 176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.01 - -0.01. Let j = -6.33 + 6.03. Which is the nearest to 0? (a) -0.1 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502905528?\nAnswer: 2, 3, 19, 367621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 1. Let l(r) be the second derivative of 13*r**3\/6 - 4*r**2 + 383*r + 1. Give 6*b(p) - l(p).\nAnswer: -7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 777604981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/13*3084\/56. Let k = v - 56\/13. Which is the nearest to k? (a) -1\/4 (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 - 244 + 9*a**2 - 2*a**3.\nAnswer: -2*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011044776776 less than -10?\nAnswer: -3011044776786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 9*p + 675560. Let r = 588890 + p. Round r to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + i - 4)*(4*i + 4*i - 7*i + 13*i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.67094 * -21.\nAnswer: -14.08974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-14 - 22) - -13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1081821 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:18 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 19\/(-7) - 8\/28. Solve -3*p - p + 3*m + 25 = v, 0 = 4*p - 2*m - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 + 168. Suppose 0*f + 314 = 3*o + 4*f, 0 = 2*o - q*f - 214. What is the least common multiple of o and 18?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19940668.3*7\nAnswer: 139584678.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 21*n**2 + 21*n + 24. Let r be x(-20). Let m(q) = -q**2 + 8*q - 13. Let t be m(r). Solve 0 = z + 2 - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*q + 2012 = 116 - 424 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6618 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11257922 by 2483.\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from jzjzzzzzjzzzzzzzzzjz?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -862, -1096, -1332, -1570?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + v = 30, -4*v + v + 18 = 3*t. Let s be (-68)\/(-18) + t\/36. Let p be (-3)\/(-4)*s + -8. Sort 0, -2, p in descending order.\nAnswer: 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -591983.8.\nAnswer: -591984.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 + 81747*p**2 - 5*p**5 + 7*p**5 + 3*p + 1031 + 3763*p**4 - 81749*p**2 wrt p?\nAnswer: 20*p**3 + 45156*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 728350 and 18718595.\nAnswer: 187185950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1750 = 9*i - 4*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -1418.518?\nAnswer: -1418.518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q - 6. Suppose 0*m - 3*m = 15. Suppose 3*y = 2*y - 6. Let t be (-6)\/(-4) + 3\/y. Let h(v) = -v - 1. Determine m*h(x) + t*s(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 284823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5 + 55. Let z(x) be the first derivative of 0*x - 4\/15*x**v + 2\/5*x**3 - 1 + 1\/2*x**4 - 6\/25*x**5 - 1\/5*x**2. Suppose z(r) = 0. Calculate r.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-25 - (-19 + 12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 58. Let h(p) = p**3 - 8*p**2 - 27*p - 8. Let l be h(11). Calculate the greatest common divisor of l and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**1)*c*c*c)**34*(c*c**(-30))\/c*c\/(c*c**(-26))*c assuming c is positive.\nAnswer: c**167","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11578 + -11578. Which is greater: 3340 or z?\nAnswer: 3340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - ((-6 - -7) + 13) - -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -218*k - 7850. Calculate m(-35).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 8, 5, 7, 1.\nAnswer: -6, -3, 1, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300.8 - 301. Which is the second smallest value? (a) -8 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 942096 and 1121838.\nAnswer: 170519376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 60. Let z = b - 51. What is the second biggest value in z, 2\/21, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - -1 - (-10 - -62 - 36) - -15?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3361 and -0.2?\nAnswer: 672.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 4 + 10*u - 2 - 1 wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*j + 17983 - 5143 = 453*j - 16168 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/3*s**2 + 0*s**4 - 3*s**3 + 1\/3*s**5 + 4*s = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = z - 5*x - 2, -3*x - 7 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(1978\/(-12)))\/(6 + -5 + 1).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.0596 - 0.\nAnswer: -16.0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/280280588 and 87\/1960.\nAnswer: 2802805880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -13*h**2 + 20*h**3 + 104*h**4 - 158 - 19*h**2 + 52*h - 22*h**2 - 105*h**4. Factor f(u).\nAnswer: -4*(u - 13)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 2, -6\/4447?\nAnswer: -6\/4447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 30. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 + 6*v**2 + 8*v - 6. Let n(p) = 7*p**3 + 5*p**2 + 7*p - 5. Let y be (-38)\/152 + (-25)\/(-4). Determine y*n(o) - 5*j(o).\nAnswer: 7*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2716.9 - -1.17.\nAnswer: -2715.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (6 - (11 - 64))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 40. Let j(f) = f**2 - 9*f + 11. Let s be j(o). What is the greatest common divisor of 24 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7341 and -23.348.\nAnswer: 7317.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.008*-0.5\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 682 and 687 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -663409 + 21881079\nAnswer: 21217670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147.\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*x**2 + 193*b**2*x + 11*b*x**2 + 32*b*x wrt b.\nAnswer: -2*x**2 + 386*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -26 (c) 10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*x + 456*x - 929*x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 4*f. Let p be (20 - 11) + (1 - f). Let i(h) = h**3 + 21*h**2 - 24*h - 41. Let m be i(-22). Solve 0 = m*j - 3*q - 9, 2*q + p = -4*j - q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.68885l in millilitres?\nAnswer: 11688.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 5. Let m(d) = 3*d - 9. Let k(f) = 3*m(f) + 5*o(f). Let z be k(-5). Suppose -2*t = -4*t + 4. Solve t*c + z = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -235 in 0.3, 3\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 27*v. Let k(d) = -19 + 47 + d - 28. Give f(k(x)).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let b(v) = 57835*v + 1076. Let n(p) = 269*p + 5. Let z(h) = -5*b(h) + 1076*n(h). Calculate d(z(i)).\nAnswer: -538*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.39 times 1?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/(23\/((-1886)\/(-4))). What is the greatest common divisor of 41 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 1. Let p(s) = 4*s**3 - 8*s - 2*s**3 + 11*s - s**3 - 3. Suppose 1 = -0*r + r. Determine r*p(i) - 3*v(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -34. Let o(t) = -15*t**2 - 9*t + 11. Let h(w) = 7*w**2 + 4*w - 5. Let s(u) = k*h(u) - 6*o(u). Calculate s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 668\/5, 3\/7, -6\/11, 2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2962? (a) 1\/5 (b) 4 (c) 1 (d) -1\/4 (e) -3 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5 - 11, i - 4*c - 13 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*x**3 + 13*x - 2*x - 26*x wrt x.\nAnswer: 162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1565*s**3 + 9*s**2 - 28?\nAnswer: -9390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6 and 37\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243 - 376. Let r = 132.9999882 + q. Round r to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9 + 40?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(21) - 1*sqrt(21) - sqrt(21))\/sqrt(3).\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -4*u - 57. Let j = 72 - u. Differentiate -j*h**3 + 7*h**3 + 7 + 25 - 3 wrt h.\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/763618329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 227, 305, 363, 395, 395?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1908 * 62.\nAnswer: -118296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1441756 (base 12) to base 9\nAnswer: 7577853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -8*b + 2*p, -4*b - 3*p + 61 - 15 - 27 = -125 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 82141413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 432979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 38*n = 144. Suppose 27 - 287 = -5*f. Calculate the remainder when f is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1424 and 145\/8112?\nAnswer: 721968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8) + -6 + 7 + -5 + -28.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (2 - 23\/(-4)). Let y be -1 + (-1 - 1)\/1. Let k = y - -3. Does o = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o = -7991 - 71385. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 689096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3425 + -567. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5739.375 millimeters to centimeters.\nAnswer: 573.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*u + 1940848 - 154284. What are the prime factors of u?\nAnswer: 13, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 - 3*a. Let f be d(0). Let m = -4.7 + -0.3. Let y be (-1)\/3 - (-1 + 0). What is the nearest to -0.1 in y, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052521 to 5 decimal places.\nAnswer: -0.00525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 40, 85, 168, 301, 496?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from hciba.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(5\/2)*f**40 assuming f is positive.\nAnswer: f**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o = 9*o - 54*o + 720. What is the fourth smallest value in o, 1\/5, -0.5, -34?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.527 (b) 1\/5 (c) -0.02 (d) -21 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 154, -3, 69, -1 in increasing order.\nAnswer: -3, -1, 1, 69, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 70. Let n(x) = 18*x**2 - 15*x - 5. Let j(o) = -56*o**2 + 48*o + 16. Let b(r) = -5*j(r) - 16*n(r). Give l(b(y)).\nAnswer: 8*y**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (-3 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -445*r + 5036. Calculate w(9).\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l**5 + 327*l**4 - 930*l**3 + 192*l**2 + 1152*l = 0. What is l?\nAnswer: -8\/9, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 127*b**2 - 60*b**2 - 70*b**2 + 2*b**3 + 2*b**4 + 0*b**4 + 2 to the form i*b + l*b**3 + o*b**4 + g + j*b**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 953 * -48\nAnswer: -45744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/12*(-24)\/80. Factor -o*c**3 - 1\/4*c + 0 - 1\/2*c**2.\nAnswer: -c*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 7*d + 10. Suppose -24*j = -12*j - 1056. Let k = -97 + j. What is n(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6808464 and -143\/60?\nAnswer: 34042320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = 39*s - 6*s - 774 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 + 185*j**2 + 1554*j + 39. What is w(-35)?\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3091*o - 3091*o + 677*o**3 - 4*o + o**3 + 4*o + (o**2 - o**2 - 2*o**2)*(-3*o + 7*o - 3*o) + 1 - 4*o**3 - 1.\nAnswer: 672*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 75*a = -73*a - 152, -5 = -a. Solve j - 91 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s**2)*(-2*s**3 + s**2 - s**2) - 5*s**5 + 0*s**5 + 3*s**5 + s - s**5 - s + (s**4 - 3*s**4 + 0*s**4)*(3*s + 2*s - 2*s) + 5*s**5 - 8*s**5 + s**5.\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -480779.32 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 146a0 + -b?\nAnswer: 14691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11))**(-4)\/(w\/w**23*(w*w**(-7))\/w))**(-1\/8) assuming w is positive.\nAnswer: w**(-311\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h + 10. Let n = 2 - -2. Which is the nearest to -0.1? (a) h (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1088)*-2 - (sqrt(1088)*1 + 0)) + -2.\nAnswer: -24*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177646 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 13*b + 21. Suppose 4*u + 49 = -4*c + 45, -7 = c - u. What is j(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-1 + 3 - 1)*(6*c**3 + 23*c**3 - 12*c**3).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 112*q + 741. Let y be j(6). Are -35\/13 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by 203?\nAnswer: -230\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 divided by -1?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 113, 157, -2?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-756)\/1701 - (-130949992)\/(-18). Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7910667 to the power of 1\/2, to the nearest integer?\nAnswer: 2813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 31. Let k = -8 - s. What is the first derivative of 13*y**3 - k - 2*y**3 + 5 wrt y?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-5)*(-840)\/252.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, l: 2}. What is prob of sequence hll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is faed (base 16) in base 2?\nAnswer: 1111101011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3869367km?\nAnswer: 386936.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*q - 70. Let o(l) = -3*l**3 + 29*l**2 + 11*l - 14. Let g be o(q). What is the second biggest value in -2, 2\/11, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.2. Which is greater: q or -0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*w = -4*w + 25, 0 = -3*n - 2*w + 22. Suppose 0*z + n*z = -12. Let q = 0 - z. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1)\/((-1)\/5). Suppose 2*q - 125 + 123 = 0. Put -1, b, q in ascending order.\nAnswer: b, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-64)*(-3)\/((-171)\/(-2))*-4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38265, -17, -9, -5 in increasing order.\nAnswer: -17, -9, -5, 38265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 1?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 + 178. Solve 2*s - 5*s = g - p, s = -2*g + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371 + 1224. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 36 = -14*s. Let m = -0.6 - -3.6. What is the closest to 1\/2 in -4, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23316016, 23316017, 23316018, 23316019, 23316020?\n\"Answer: b + 23316015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237 + -25. Let n(u) = -u - 11. Let j be n(-9). Is (v\/8)\/((-1)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - 2. Suppose -4*l + 2*d + 56 = -2*d, 3*d - 38 = -5*l. What is the remainder when 12\/(1\/(i\/(-2))) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5\/4 - 57*x**4\/4 + 177*x**3\/2 - 339*x**2\/2 - 357*x\/4 + 735\/4 = 0 for x.\nAnswer: -1, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*k + 2 = 0, -5*k - 2 + 18 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21.85 (b) 3 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 299, 455, 613?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 64, 72, 84, 100, 120?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(11) + (sqrt(110)\/sqrt(10))**2 + 0).\nAnswer: 3*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481286 is divided by 53473.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 1)*(5*g**2 - g**2 - 6*g**2)*(2*g + 3*g - g).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from igegiiigegeeedll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8279576 - -11810777. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**2 + 42*v - 25. Is k(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + z + 81*z**3 + z - 83*z**3 in the form u*z + p + w*z**3 + t*z**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4) + 2 + 1. Suppose -2*u + r*u + 238 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 44*d**2 + 30*d + 59. List the prime factors of w(-43).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from gcppsbc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3551 + v**3 - 3575 - v**2 + 0*v**3. Give z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-2\/25)*t*t*t)\/t**(-19))\/(t**34*t**(7\/6)) assuming t is positive.\nAnswer: t**(-1687\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134037*-0.41.\nAnswer: 54955.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*b*y**4 + 11*b*y**3 + 64*b*y**2 + 1770*b - 3527*y**4 + 9*y**3 - 10*y wrt y.\nAnswer: -912*b*y + 66*b - 84648*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 174*m - 59. What is r(-43)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -6)\/3 + 18. Let z be (-9)\/(-45) + 7\/g. Factor -z*p + 0 + 4\/3*p**2 - 2\/3*p**3.\nAnswer: -2*p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25335642 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: In base 3, what is 120 + -11211121122?\nAnswer: -11211121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1966136*u*z**2 - 4765*u*z - 56*z**3 + 1087*z wrt z.\nAnswer: -3932272*u - 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 20*t**2 - 3*t - 7. Let b(c) = -7*c + 137. Let v be b(21). Calculate the remainder when n(v) is divided by 2\/(-1)*1 + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 241, -5, -1 in descending order.\nAnswer: 241, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2284*b. Let t(d) = d. What is v(t(m))?\nAnswer: -2284*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 841, 1837, 3231, 5023, 7213, 9801?\nAnswer: 12787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1183310 by -236662.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13006485.\nAnswer: 3, 5, 289033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19.73313 centuries?\nAnswer: 197.3313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -355, -491, -721, -1045, -1463, -1975?\n\"Answer: -47*i**2 + 5*i - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621605, -621742, -621971, -622292?\nAnswer: -622705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15103.056us?\nAnswer: 0.0002517176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 1 + 4*r**4 - 2*r**2 - 2*r**4 - 5*r**4 to o*r**2 + f*r**4 + z*r**3 + b + l*r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8264920790?\nAnswer: 2, 5, 7, 118070297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(192) + 3 - sqrt(192)) + -4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50035232 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/14 - 2\/(-7). Suppose 3*s + 670 = 5*p, p = -d*p + s + 406. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -722.8 to the nearest ten.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(1152\/135)*-4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-4)\/(-8)*4. Let y(m) = -m**3 - 7*m**2 + 2*m - 5. Let z be y(-7). Let u = -17 - z. Solve -c + 2*d = -2*c - 11, -6 = -u*c + r*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*343\/(-77).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -171 - 3?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 7:21 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11780 = -389*m + 265*m. What is the remainder when 21469 is divided by m?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/8)*q\/((q\/(q**(-1)*q))\/q)*q*(q\/q**(2\/15))\/q**(-2\/9) assuming q is positive.\nAnswer: q**(1247\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -8*c**2\/9 + 182*c\/9 + 46\/9 = 0?\nAnswer: -1\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 25*f**3 - 26*f**3 + f**4 + 2*f - 4*f**2 + f - 2 to q*f**4 + v*f**2 + c + r*f + i*f**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p**4 - 1\/2*p**3 + 13\/120*p**6 + 0 - 1\/60*p**5 + 7*p**2 + 0*p + 1\/210*p**7. Find the third derivative of l(a) wrt a.\nAnswer: 24*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*u - 12, -2*t - 69344*u = -69353*u - 9 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/5 + 9748*o**4\/5 + 3164838*o**3 + 8534226852*o**2\/5 - 34724667384*o\/5 - 180555579792\/5 = 0.\nAnswer: -1626, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76902 (base 11) in base 7?\nAnswer: 643155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b - 13*b + 0*b**2 + 11*b**2 - 2*b**2 + 46*b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(136)\/(sqrt(40)\/sqrt(5)))**2 + 2.\nAnswer: 8*sqrt(17) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**3 - 5*n**2 + 0*n**3 + 3*n**2)*(-558 - 786 + 343) in the form x*n + l*n**2 + d + f*n**3 and give l.\nAnswer: 2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 - 81*u**3 - 360*u**2 - 372*u = 0. What is u?\nAnswer: -2, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 36*w**3 - 7*w**2 - 4. Let m(x) = -12*x**3 + 2*x**2 + 1. What is 7*m(v) + 2*o(v)?\nAnswer: -12*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 110109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.758 - 0.062. Let v = 0.82 + h. Which is the closest to v? (a) -2\/3 (b) 0.3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0*g**3 - g - 8*g**2 - 6*g - g**3. Determine k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -128, -196, -264?\n\"Answer: -68*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 36. Let h be o(-16). Suppose -9 = -i - h*l, -2*i + 60 = 3*i + 5*l. Suppose 2*x - 8 = x. Calculate the remainder when i is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - 3) + (-4 - -3))\/(0 - 9\/(-63)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13601899541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364231289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114149740 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/3)\/h*h)\/h**(-7))\/((h\/(h\/(h\/h**6*h)))\/((h*h\/(h\/(h\/h**(-4))))\/h*h)) assuming h is positive.\nAnswer: h**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3 + w - 6 + 1. Let k be d(2). Suppose 10*i + 881 = 1091. Sort k, i, -2.\nAnswer: -2, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 k, and 1 b when four letters picked without replacement from {b: 1, z: 3, r: 1, v: 1, t: 6, k: 5}.\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b - 3*p, 0 = -4*b - 2*p - 0*p + 2. Let w = b - -3. Calculate the remainder when w is divided by 3\/(-12)*((-30)\/30 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 70*h - 112. Let u be l(10). Let n = 601 - u. Sort n, 0, 5 in ascending order.\nAnswer: 0, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*z + 7. Let x be (-34)\/(-8) + 1\/z. Suppose 11*l - x*l - 161 = 0. Calculate the highest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1286*s**3 - s**2*u**2 - s*u**2 - 4959*s wrt s?\nAnswer: -7716*s - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.7. Let o = -0.6 - q. Which is the nearest to -0.1? (a) o (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-142)\/(-336) - (-9)\/(-24). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2 - (-1256)\/(-20). Let z = -60 - u. Let w = -2.7973 + 3.2973. Which is the biggest value? (a) w (b) 0 (c) z (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 9*z**2 + 25*z - 30. Determine b(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 3*y - 3*y + (1 + 0 + 1)*(0*y + 6*y - 4*y) - 2*y + 2*y + 3*y)*(-6*y**3 + 10*y**3 + y**3 + y) to o + z*y**4 + s*y**3 + v*y**2 + i*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 366*r**4 + 191*r**4 - 399*r**4 + (r**3 - 1 + 1)*(-23*r + 18*r + 14*r).\nAnswer: 167*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 1 - 1)*(2 + 5 - 2) - 4 + o + 4 + (1 - 1 + o)*(1 + 2 - 1) - 2 - 4*o + 2 - 2*o - o + o to p + w*o and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 179484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 120?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93754 or 0.75?\nAnswer: 93754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(540) + (-3*sqrt(540)*-5 - sqrt(540)))\/sqrt(12))\/(sqrt(108)\/(sqrt(48)\/sqrt(4)*-1)).\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1*sqrt(28) + 5 + sqrt(63))**2 - (sqrt(28)*-4 + 2)) + -1)*-1.\nAnswer: -198 - 58*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2860 divided by 26.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {p: 1, e: 4, k: 3, t: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-17 + 21 + (1 - 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689168 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.12, 0.19, -8, 0.2, 0.6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 + 366. Which is smaller: 180 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(-116 + 241 + 7*u**2 - 10*u**2 + 6*u**2 - 9*u).\nAnswer: -3*u**3 + 9*u**2 - 125*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 105. Suppose 0 = -2*z - 2, 4*z = -0*s + q*s - 24. Suppose -5*n + 2*i + 11 = 5*i, -n - 9 = -5*i. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z + 1. Calculate w(7).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aama when four letters picked without replacement from mmmmmmmammmmmmaa.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -18*d**3 + d**2 + d. Suppose 0 = -3*l - 3. What is the remainder when p(l) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - 616\/(-132). Let k be (0 - (-1)\/p)*0. Which is greater: 2\/9 or k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313556 divided by -2\nAnswer: 656778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -28, -0.1, -4, -1\/8, 184, 8.\nAnswer: -28, -4, -1\/8, -0.1, 4, 8, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8541 (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*w + 125*w + 3344 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.227 * 5.\nAnswer: 11.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2860\/7 (b) 3\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 12. Let r be (-12)\/l*(-5 - -26). Solve r = -4*n + 2*h - 0*h, 4*n + 23 = -3*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996774 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) - (sqrt(187) + sqrt(187) + -3*2*sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187)))\/(sqrt(99)*-5))**2.\nAnswer: 68\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {t: 1, s: 1, v: 2, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11244459 to the power of 1\/2, to the nearest integer?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/5, 5, -75, 0.03, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10.7. Let l = 144 + -142.9. Let n = x + l. Which is the closest to -1\/2? (a) -1\/3 (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 96*i**2 + 10*i + 9121. Let o(l) = 230*l**2 + 24*l + 22804. Let z(m) = 5*o(m) - 12*s(m). Let d(h) = 2*h**2. What is d(z(f))?\nAnswer: 8*f**4 - 36544*f**2 + 41733248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4333, -54 in decreasing order.\nAnswer: 5, 0, -54, -4333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = -7*r + 29700. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116721483445.70610711 + -113970149843.70611. Let s = i - 2751333462. Let o = s - 140. What is o rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 - 7) - (1 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s - 3. Let j = 13 + s. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 1 - 12*x**2 as y*x + w + a*x**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -466\/3 + 154. Let s be 35\/220 - 2\/(-4). Let d = -10\/11 + s. What is the third biggest value in l, d, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17570 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 1, c: 3, d: 4}. Give prob of sequence ct.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*a**2 + 688*a**2 - a + a.\nAnswer: -43*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14906855 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 3*(-15)\/(-27). Put d, 4, -2, 0 in descending order.\nAnswer: 4, 0, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.522483m to centimeters.\nAnswer: 52.2483","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 147 = -12. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 9*t + 44. Let r(p) = -p**3 - 3*p**2 + 5*p + 1. Let s be r(-5). Let w = s - t. Solve -w*g + 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 87\/296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**4 - 213832*r**2 + 1214291*r.\nAnswer: 48*r**2 - 427664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13055*r + 46 = -13032*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 37*v + 44. Determine y(35).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k - 15. Let w = 20 - 26. Let r(a) = -a**3 + 14*a**2 + 3*a - 39. Let b be r(14). Let j(c) = b*c + 4*c - 18 - 3*c + 11. Give w*q(l) + 13*j(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*j + j. Let r be 2 + 129\/15 - 4\/j. What is the third derivative of r*u**4 + 29*u**2 - 3*u**2 - 11*u**2 wrt u?\nAnswer: 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.98 - -1. Let p = 0.02 - m. Which is the biggest value? (a) 2 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = 0, -4*z = c - 2995 + 1030. What is the remainder when z is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by (-13)\/(26\/(-24)) + 80.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12438\/(-10365))\/((-1)\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -536452 - -3755168\/7. Let -2\/7*w**2 + i*w - 2\/7 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 2*y + y. Let i(m) = 20*m + 105. Let h(q) = 118*q + 595. Let z(s) = -6*h(s) + 34*i(s). Determine z(a(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 18.91831 milligrams?\nAnswer: 0.00000001891831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 - 8964*r**2 + 39*r + 541807 wrt r?\nAnswer: 6*r**2 - 17928*r + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*q - m, 3*q + 6 = 5*m - m. Suppose 2*i + k = 13, -2*k - q*k = 3*i - 27. Solve i = u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 6 + 13*p - 21\/2*p**2. Let n(g) = 10*g - 7. Let d(m) = -3*h(m) - 5*n(m). What is the derivative of d(q) wrt q?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13333 (base 4) to base 6.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from redrxrddedrdjdddd. Give prob of picking 3 r.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 40*q**3 - 86*q**2 + 44*q.\nAnswer: 2*q*(q - 1)**2*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 456, 684?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 8*y**2 + 9*y + 5. Let w = -3 - 6. Determine l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157.6 - 0.4. Let a = f - -142. Let h be 3\/4*2\/(-6). Is h != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 7:52 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**5\/60 + 11*s**4\/24 + s**3 - 3*s**2. Let m be v(10). Solve -3*d = -l + 1, 2*l - 2*d + m = -5*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, -292, -3073, -9018, -19183?\nAnswer: -34624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-16)\/3))\/((-195)\/2860).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (0 + sqrt(2) + -2))**2 + (sqrt(128) - (-3*sqrt(128) - sqrt(128))) + 4.\nAnswer: 8 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 + 3122*q - 7244. What is p(518)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -86 and 0.29162.\nAnswer: -85.70838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 not equal to -27641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o = -49*o + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 + 18490*v**3 - 1090785*v**2 - 2237060*v - 1127780 = 0. What is v?\nAnswer: -1, 62, 3638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:04 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/6 (b) -2\/47 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/10 - (-5 - (1 + -2)). Let q = w - -9. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-9)\/3)\/((-6)\/(-8)*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 380 + 80. Calculate the remainder when c is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344116?\nAnswer: 2, 336029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = d - 0, 3*p = 5*d - 19. Solve 13 = -d*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 110*i**2 + 400*i - 12000.\nAnswer: -5*(i - 20)*(i - 12)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 729256083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.962 + 9.562. Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Let s(i) be the third derivative of -i**6\/360 - i**5\/60 + i**4\/24 + i**3\/3 - i**2. Let u(w) be the first derivative of s(w). Calculate u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 4*t + 28 - 2\/5*t**3 + 0*t**2 + 1\/20*t**4. Factor c(f).\nAnswer: 3*f*(f - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7077 (base 8) in base 2?\nAnswer: 111000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4093339 litres in millilitres?\nAnswer: 409.3339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let a(z) = -3*z + 4. Let u(q) = -4*a(q) - 14*l(q). Let i be u(-5). Suppose 35*d + 23 + 117 = 0. Sort i, d, 0.\nAnswer: d, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -21. Let v = 1 + 13. Suppose 2*i - 22 = -4*t, -4*t - t = i - v. What is the greatest common divisor of j and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2213 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*d + 18, 3*d = -2*q - 3*q + 30. Let o(s) be the first derivative of s**2\/2 + 8*s + 1. Is o(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000274369041 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1824 divided by 912.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 > -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 212d37a + 3?\nAnswer: 212d37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2*(7 + 22\/(-4)). Suppose 2*o + 3*l = z*o - 21, -l = 2*o - 7. Is (75\/o)\/(5\/10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61153475?\nAnswer: 5, 2446139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118254.\nAnswer: 2, 23, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -435, 1, 702, -119 in descending order.\nAnswer: 702, 1, -119, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 510, 497, 468, 447, 458, 525?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5217, 5211, 5201, 5187, 5169?\nAnswer: 5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 7*b**2\/2 + 13*b + 3. Let w(y) = -3*y - 6. Let c(n) = -2*a(n) - 5*w(n). What is the units digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)\/(t**(-2)\/t))\/(t**(-2))**(10\/13) assuming t is positive.\nAnswer: t**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(18\/60) - ((-3 - -2) + -29)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.15 (b) 4\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1236*b**2 + 1144*b + 4. Let p(r) = 2465*r**2 - 2289*r - 7. Let g(y) = 7*m(y) + 4*p(y). Find the second derivative of g(n) wrt n.\nAnswer: 2416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 26.6. Is r >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*d = 125*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 33 = -82 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -300 - -470. Let q(f) = -f**2 + 19*f - 36. Let t be q(5). What is the greatest common factor of t and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133799 = -0*i + 67*i. List the prime factors of i.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1291319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - n)*(1 - 1 - 2) - n + 3*n - n + n + n - 3*n - 15*n + 9*n + 8*n - 1.\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -7 + -6 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eer when three letters picked without replacement from errrrre.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 2 w when four letters picked without replacement from {w: 3, u: 1, t: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13791 - 8758 + 2795 = -687*b - 22400 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -52*t - 67. Suppose -3*m + 2*n = 3, 2*m - 6 + 0 = 4*n. Does 14 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + sqrt(1584)*-1 + 1 + (sqrt(1584) - 6*((sqrt(1584) - sqrt(1584)*-1) + sqrt(1584) - sqrt(1584))))*-4 + 5)**2.\nAnswer: 1056*sqrt(11) + 3066625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:51 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 58748535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**2 + 2. Let p(f) = -6*f**2. Let d(k) = -3*k**2. Let a(z) = -5*d(z) + 3*p(z). Determine a(l(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128340 is divided by 797.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(9\/7)\/i)\/i*i\/((i**(1\/6)\/i)\/i) assuming i is positive.\nAnswer: i**(131\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h = h + 429 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/22104 and 25\/22104?\nAnswer: 22104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -219*a**2 + 356?\nAnswer: -438*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36995 and 118288870.\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70 + -3188?\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21061, 42348, 63635?\n\"Answer: 21287*m - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -17. Suppose 5 + 14 = p*g + 2*f, 2*f = 2*g + 4. Suppose -2*w + g*w - 40 = 0. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p + 10*p - 40*p - 984 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*3\/399*6)\/(15\/(-42))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20660712586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16476.82ml to litres.\nAnswer: 16.47682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0)\/(12\/30). Let k(p) = -44*p - 12. What is the tens digit of k(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(22)*-6 - sqrt(792)*-6)\/(2*(sqrt(704)*-2*-3 + sqrt(704))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 46ab3?\nAnswer: 46ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3 + 8825*a**2 - 1860770*a - 1869600 = 0?\nAnswer: -1, 246, 1520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {y: 1, c: 1, b: 2, e: 2, h: 2, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96148 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16684, -31698, -46712, -61726?\n\"Answer: -15014*a - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32403 is divided by 61?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19)**(-37\/2) assuming p is positive.\nAnswer: p**(-703\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 844096+5\nAnswer: 844101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 98*o**2 + 899*o - 30. What is the tens digit of l(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-18) + 30\/4. Let c(y) = y**3 - 8*y**2 - 11*y + 21. Let f be c(r). Solve f*l + 2*x + 9 = 0, 4*l - 4*x = -2*x - 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1856\/52455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.075 < 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 5*a - a + 2*a + 9. Let o be j(6). Let b = 116 + -83. What is the highest common factor of b and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 25, 22 = 5*r + j + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:25 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.2466486892 + -30.3\nAnswer: -31.5466486892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 1:40 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5789662924?\nAnswer: 2, 16547, 87473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**11\/t))\/(t*t\/t**(-10))*t**(-4\/11)\/t**(-1\/2) assuming t is positive.\nAnswer: t**(-459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:06 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*b**3 + 491*b**3 - 867*b**3 - 8*b**2 + 8*b**2.\nAnswer: 61*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -322 - -2881. List the prime factors of s.\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10490 divided by 1.\nAnswer: 10490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001152585 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s + 14. Let l(b) = 10*b**2. Calculate l(q(r)).\nAnswer: 250*r**2 + 1400*r + 1960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -5 in decreasing order.\nAnswer: 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from llllllkllkll.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609a9 (base 14) in base 16?\nAnswer: 1c2a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2718222753?\nAnswer: 3, 906074251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66.6 - -446.6. Let r = 383 - w. Which is the nearest to 0.2? (a) 2.7 (b) r (c) 2\/15 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -18. Let b(g) = g + 8. Let z be b(-6). Suppose z*a = -0 + 8. Solve a*v + v = h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 1\/3*x**5 - 4\/3*x**3 - 1\/15*x**6 + 0*x - 2*x**2 + 0 - 1\/6*x**4. Find b such that a(b) = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145355 - -324?\nAnswer: 150123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/2 - 5*q**2\/2 - q - 8. Let g(v) = 6*v**2 + 4. What is -5*g(b) - 4*n(b)?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 342728\/25 and 13710 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 51*r + 5 - 11.\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 3 - 2*i - 8. Let d be a(-4). Let m = d + 3. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.89373 + -0.00627. Sort 3, z, 5.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:26 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - 8) - 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**4*w**3 + 339*a**4*w**2 + 49*w**3 - 3*w wrt a?\nAnswer: -8*a**3*w**3 + 1356*a**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88215552277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -442747*c**2 - 218*c + 51787989?\nAnswer: -885494*c - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 4.02. Let k = -4.3 + n. Let d be ((-9)\/16)\/(33\/44). Which is the third biggest value? (a) d (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 45*n**2 + n. What is l(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and 89454.\nAnswer: -24152.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 2. Let l(m) = 5*m**2 + 4*m + 269. Calculate -2*a(f) + l(f).\nAnswer: 5*f**2 + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4128697138.\nAnswer: 2, 53, 157, 248089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 2*o**3\/3 - 7*o**2\/2 - 2*o. What is the first derivative of n(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150456?\nAnswer: 2, 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11840, -47132, -105872, -188054, -293672, -422720, -575192, -751082?\n\"Answer: h**3 - 11730*h**2 - 109*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020 - 111012?\nAnswer: -22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 23. Let s(z) = 2548 - 7654 + 2551 - 2*z + 2555. What is s(t(u))?\nAnswer: 2*u**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -15*b + 10*b. Suppose 4*c = x + 111, 0 = b*c - 4*x - 69 + 2. Solve -8 + c = -7*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = f. Let g be (-98)\/f + (-1)\/3. Let d = 26 - 10. What is the highest common divisor of g and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 2*f + 32, 48*f - 87 = -3*i + 43*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))**(-2\/139)\/((j\/(j\/(j\/j**(3\/5))))\/(j\/j**(-4\/3))))**(-2\/59) assuming j is positive.\nAnswer: j**(-7942\/123015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688802057?\nAnswer: 61, 1559, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.98 - 0.02. Let m = h - 0. Let k = 4020165 + -4020167. What is the second biggest value in m, k, 4, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28941 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 bigger than 587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9568 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.274 and -426.\nAnswer: -424.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11066140 and -0.3.\nAnswer: 11066139.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 41309.47 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 6. Let d(g) = -41*g + 256. Let u be d(6). Give l(u).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12243 and 1289596?\nAnswer: 3868788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*(-5 + 117\/21). What is the second derivative of m**3 + 3*m**4 + 0*m**p - 3*m + 0*m**3 - 5*m**3 wrt m?\nAnswer: 36*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 - -159.3. Let t = -0.1 - -1.1. Sort a, t, 4\/3 in decreasing order.\nAnswer: 4\/3, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from wwbsmss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4)*(-6)\/(-3)*66\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 9. Suppose 4*a = -2*l - a + 276, q*l + 3*a = 405. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 288\/156 + (2 - 4). Which is the biggest value? (a) -1\/5 (b) -2\/39 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqccc. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 80*v - 85*v + 7 = 0, -3*a - v + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 - 28*n**3 + 3083 - 3081 + 27*n**3 + 27*n**2)*(1 - 1 - n) - 2*n**5 - 2*n**5 + 3*n**5.\nAnswer: n**5 + n**4 - 27*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63703 - 32581. Is 81 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 273 = 4*x, -11*c + 2342 = -3*x - 661. Calculate the remainder when 592 is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1f566?\nAnswer: 1f568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -24, 4, 30, 54, 76?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1817871 divided by 58641.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101414111 + 2304?\nAnswer: 101421420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = -2*p, -2*p + 3*p - 6 = 2*x. Solve 2*n + 8 = p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31021 + 5?\nAnswer: -31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p. Suppose -5*c + 21 = -r, 4*c = -0*r + 5*r. Let h = -24 + 36. What is the least common multiple of h and v(c)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2793 + -9 + (-36)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 13*h = 26700. What is h rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*z + 5*i, -i = -3*z + 11 + 16. Solve 1 = 10*h - z*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, -2\/7, 0, 4 in descending order.\nAnswer: 4, 0, -2\/7, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131044 is divided by 85?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 8*j + 7. Let f(r) = r - 3. Let v be f(10). Let c be g(v). Solve -3*m - c = -x, -m - m = -4*x + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20898*2.5625\nAnswer: 53551.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 s, and 1 q when four letters picked without replacement from squsissuusiquusuqus.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78505*g**4 + 2*g**3 - 2*g**2 - 1187773 wrt g?\nAnswer: 314020*g**3 + 6*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2\/9, -130, 208, -14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -14*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + sqrt(1053) + 1*sqrt(1053)*4)**2 - ((4 + -2*sqrt(1053))**2 + -6*sqrt(1053)*-2))*4.\nAnswer: 11664*sqrt(13) + 530928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20198314 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 47489130 to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + d**3 + 1 + 2*d**2)*(786 - 411 - 436) in the form u*d + o*d**3 + a + g*d**2 and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**7)\/f)\/(f*(f**1\/f)\/f)*f**(-4)\/(f\/(f*f*f*f**(-5)\/f)))\/(f**(2\/9)*f*f**(5\/3)*(f**(-1\/4)*f)**(2\/55)) assuming f is positive.\nAnswer: f**(-17737\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**2 + 2*m + 6. Calculate i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.61 - 0.632. Which is the nearest to -2\/7? (a) n (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -13) + (-18 - -6 - (20 + -30)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + 2)*68\/6 is divided by ((-75)\/(-21) + -1)*56\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504155712 a multiple of 6898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 735442*i*m**4*o - 6473*i - m**4*o - 904*o wrt m.\nAnswer: 2941768*i*m**3*o - 4*m**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10021 (base 4) to base 10\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i + t - 26, 2*i = -t + 17. Suppose i*y - 11732 = 5*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/36 - (-464)\/(-18). Which is bigger: c or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27071 (base 13) to base 9.\nAnswer: 120518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354.9876 + -0.0124. Let k = -355.2 - r. What is the second smallest value in 7\/4, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (69\/(-18) + 4)*(-8 - 432\/(-60)). Which is the nearest to -28? (a) -6\/7 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-15))\/((-4)\/12). Let c(b) = -b. Give c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.168475 rounded to the nearest integer?\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) + 1\/((-1260)\/(-26585)). Let p = s - 158\/7. Find the common denominator of -49\/27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1715093 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -126*y**3 + 10*y**2 + 36*y + 28. Let l(j) = 2*j**3 + j**2 + 4*j - 2. What is g(q) - 9*l(q)?\nAnswer: -144*q**3 + q**2 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 22*a + 223. Let s be u(-10). Suppose -s*d - 3*c + 0*c = -36, 2*c = 3*d - 46. Solve 0 = -d*j + 6 - 48 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5316338?\nAnswer: 2, 29, 71, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 - 114 + x**3 + 175 to the form b*x**2 + c*x + i + v*x**3 and give i.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2775 + 0.0775. Put n, -5, 0, -8 in ascending order.\nAnswer: -8, -5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165.4 + 201. Let o = 32 - i. What is o rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + -3 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 849 times 456.589\nAnswer: 387644.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4141 (base 7) to base 2\nAnswer: 10110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*h + 15, 5*u + 2 + 5 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (184\/6)\/((-1)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/20 - 5*b**4\/3 - 19*b**3\/6 + 41*b**2 - 6*b + 1. What is the remainder when j(-19) is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0 + 1\/120*p**4 + 1\/5*p**2 + 15*p - 1\/15*p**3. Find o such that k(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 36 = -26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*d + 15 = 0, 3*f - 41 = -0*f + 5*d. Calculate the remainder when (-36)\/(-3)*5\/3 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42934 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**4\/6 + 9*r. Let z(d) = 19*d**2. Give z(s(k)).\nAnswer: 76*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7001, 0.21, 1\/4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-6)\/3 - 9. Let t(q) = 7 + 2*q + 7*q**2 - 4*q + 5*q + 3*q + q**3. Calculate t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116917 = -33*z - 10294. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 93*q - 4 + 9 - 1. Is w(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 1, 5752, -2 in descending order.\nAnswer: 5752, 1, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -624.2, 554.4, -2, 0.4?\nAnswer: -624.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 30. Let p = 12 + -8. Let y = h + p. Which is the nearest to y? (a) -2 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 + -11101?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -16 + -10 - (10 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -4*f + 2. What are the prime factors of 57*f\/(0 + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18723080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 45. Which is the nearest to 1? (a) n (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 0, -x + 4*x = 4*d - 612. Let f be x\/(-108) - 2\/(-18). Sort 0, -3, f in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - 0.1. Let w = 235627\/125 - 1885. Let f = w - -361\/875. Is b > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.4507 and -379.175.\nAnswer: -389.6257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/((-2)\/36). Let c = v + 39. What is the smallest common multiple of c and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -43, -48?\n\"Answer: -5*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -2*o - 5*t, -5*t = -4*o - 15. Solve -5*a + 4*r - 31 = o, -3*a - r - 5 = -0*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24850283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 - -81. Let f be 2\/(-5) + (-68)\/k*2. Factor -581*p - 15*p**2 + 581*p + 5*p**f.\nAnswer: 5*p**2*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*t + 10*t**3 - 4*t**3 + 36*t**3 + 29*t as q*t**2 + d + l*t**3 + z*t and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 2*k + 19*k**2 + 2*k to the form b*k**2 + a + h*k and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 6*q**2 - q - 11. What is the tens digit of y(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 2565\/35 - 2\/(-7). Let r = y - -74. Suppose -7*h + r*s = -3*h - 291, -3*h + 4*s + 219 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 1\/2*i**3 + 11\/20*i**4 + 3\/25*i**5 - 3\/5*i**2 - 2*i + 21. Let t(a) be the first derivative of y(a). What is h in t(h) = 0?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*z = 13, -7 + 2 = -4*j - 3*z. Suppose 205*r - 202*r = 6. Solve -r*w - j*a = -6*a - 6, 0 = -w - 3*a + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5193 divide 1737930246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 177 - 40?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d - l + 3*l, 0 = 5*d + 5*l - 10. Let g(w) = w**2 - 10*w - 7. What is the least common multiple of d and g(11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 541296, 1082590, 1623884, 2165178, 2706472, 3247766?\n\"Answer: 541294*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12057*t**2. Let p(n) = -11*n. Determine p(v(c)).\nAnswer: 132627*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(2*12\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(-2*sqrt(1008) + 5)*3 + 1 + -5)**2*5.\nAnswer: -5040*sqrt(7) + 181685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 - 4*z + 4. Let y be h(3). What is the derivative of 1 - 3*d**3 - y + 5 wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -3) + 2*-1. Suppose -2*z = 2*k + f, -z + 3 + 6 = -k. Calculate the highest common divisor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x - 4 = 0. Suppose 4*t + 54 = 2*m + t, 0 = -2*m + 2*t + 52. Let k = m + x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) + (-632)\/24. Is (-6)\/z + (-662)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 + l. Let u be x(2). Let n be -5 + (u*1 - -4). Let d = 3 + n. Solve d = 2*r + 2*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50278960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 5 = 145 + 90 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10698, 1, -63, -1, 7.\nAnswer: -10698, -63, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose 0 = -3*m - 3*l + 3, -d = -m - 2*m - 2*l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-411 + 734 - 316 - 492)*(4*f - 4*f - 2*f**2) as h*f**2 + n + j*f and give h.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 10. Let k be c(10). Suppose -4*l + 32 = 4*i - 0*l, k = -3*i + 3*l - 6. Suppose 3*x = -5*a + 47, 0*x + 3*x - 39 = i*a. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (8 - 8 - 7)) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i**2 + 2785216*i + 39578715136 = 0. Calculate i.\nAnswer: -198944\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 + g**2)*(-g + g + g) - 3 + 3*g**3 + 5*g**3 + 1.\nAnswer: 7*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 2*i)*(283*i**4 - 823*i**4 + 71*i**4).\nAnswer: -938*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6825 by 5.\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1703 + -9.555.\nAnswer: 1693.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*c = 45 - 117, -3*f + 57 = 3*c. Let p = f + -13. Suppose 4 = 2*v - p. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 9) to base 13.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2. Let j(p) = -47*p**2 + 71*p**2 - 21 - 27*p**2. What is a(j(d))?\nAnswer: -45*d**4 - 630*d**2 - 2205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jpcwx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3345?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, u: 2, w: 2, f: 1, h: 1, a: 3}. Give prob of sequence thaa.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 1283*o - 9 - o**4 + 77*o**3 + 4 + 7 + 0*o**2 - 1285*o as s + j*o**2 + i*o**4 + n*o**3 + t*o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*b**4 - 34*b**3 - b**2 + 55*b + 15 wrt b.\nAnswer: 180*b**2 - 204*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*u**3 + 246*u**3 - 120*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2244*z**2 + 10496*z**2 + 8732*z**2.\nAnswer: 21472*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*m - 35 = 1, -36 = -4*h - 5*m. Let z = 13 - h. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4884 - 4874 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-2)\/(-3)*(-300)\/81400*37.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27378, -27386, -27394?\nAnswer: -27402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 214 = 15*q. What is the remainder when 20 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from ktbbbkbs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87925733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 468?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x + 1. Let u(q) = -85*q + 1357. Let h be u(16). Determine w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*p + p - 6712, 2*p - s = 2685. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/((-35)\/5))\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 28, 55, 98, 163, 256, 383?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -437 + 436.999479. What is p rounded to five dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 16*q**4\/11 - 2094*q**3\/11 - 22422*q**2\/11 - 59170*q\/11 - 7050\/11 = 0?\nAnswer: -5, -1\/8, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5)*(-30)\/12. Suppose -5*l + 57 = -y*l. Suppose -l = -2*n + 87. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*l - 12, -2*w - 4*l - 3 = 3. Let x be (2 - (6 + -6))\/(w\/(-4)). What is the tens digit of 1844\/68 + x\/68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h + 161*h + 28*h - 50490 = 0. What is the remainder when 539 is divided by h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 11 = 2*a. Let c = 13 + a. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -296*y + 1670 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**5 - 25*h**4 + 1045*h**3 + 11525*h**2 + 40000*h + 42500 = 0.\nAnswer: -10, -5, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -1, 1, -2 in decreasing order.\nAnswer: 14, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1\/4*r**4 + 0*r**3 + 0*r + 22*r**2 + 0. Let n(b) be the third derivative of b**5\/12 - 6*b**2. What is s(n(a))?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73.6 + -88. Let i = o - -14.7. Let p be -2 + ((-12)\/(-9) - (-4)\/(-12)). Which is the fourth biggest value? (a) 0.5 (b) i (c) -2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 + 0.6. Let v = -128 - -127. What is the second smallest value in v, 0, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d - 57*d + 132*d - 54*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 43. Let m(y) = 12*y + 422. Let d(s) = m(s) - 10*x(s). Let b(k) = -3*k + 16. Calculate 3*b(q) + 5*d(q).\nAnswer: q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s + 5\/2*s**2 - 4. Let j(m) be the first derivative of -m**2\/2 + 1. Calculate p(j(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614814.\nAnswer: 2, 3, 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(12\/(-4)*-1). Let a(h) = -h**3 + 4*h**2 + 4*h + 3. Let x be a(5). Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3 - (-181)\/3 - (-22)\/2200*100.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/13)*(j*j**(-2\/17))\/j)\/(j\/((j**0\/j)\/j))**(-9\/4)*((j\/(j\/(j\/j**(-1\/4))))\/j)**(-4)*j**(3\/8)*j**9 assuming j is positive.\nAnswer: j**(28573\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 176, -2437, 2\/5, -2\/7, -3, -2.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 5*q**2\/2 - 13*q + 3. Is 16 a factor of j(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 + 291 = -7*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 329095.4795 rounded to the nearest ten?\nAnswer: 329100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from wywwawwywawywwwwww?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 3) to base 15.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**2 - 2650*b + 4. Let t(j) = 21*j**2. Give q(t(g)).\nAnswer: 3528*g**4 - 55650*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23271 in 1, 0, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 10517 = -3*j - 10502, 4*j + 2*l = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33947220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -53, -195, -457, -875?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.7 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 21*w**2 + 4. Let q be l(-21). Suppose 17*s - q = 16*s. Let x be (2*-14)\/(-3 + 1). Solve 0 = -5*u + s - x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 5. Suppose -2*p + 98 = 4*a, -3 + 171 = 3*p - a. Suppose -h + 20 + p = 0. What is the highest common factor of f and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g\/g**(1\/4))*g*g)))**(-21)\/(g**(-1))**(-15) assuming g is positive.\nAnswer: g**(-249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 644*m.\nAnswer: -4*m*(m - 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + 0*k**3 - 3*k + 6*k - 3*k**3 - 94*k**4 - 2 to the form q + x*k**4 + m*k**3 + p*k + v*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13524 and 95956?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*d = -3, -3*d = 4*w + 15 - 72. Calculate the remainder when 83 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/3)\/(m*m**(-1\/4)\/m)*(m*m**3)\/(m**9\/m*m) assuming m is positive.\nAnswer: m**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17171 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 3770780?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -51. Suppose -11*p + p + 80 = d. What are the prime factors of (7\/56*6)\/(2\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/(-9)*(-30)\/(-110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + 2 + sqrt(1100) - sqrt(1100)) + (sqrt(1100) - (sqrt(1100) + 1*(sqrt(1100) + 4)))**2)*2.\nAnswer: 160*sqrt(11) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 21.03083 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**2 - 8957935*q + 423834 wrt q?\nAnswer: -6*q - 8957935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-495)\/9)*0. Suppose -w + m + 4 = 0, -2*m + 0 - 4 = 2*w. Sort w, -10, s, 5 in descending order.\nAnswer: 5, w, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1 + -5 + -155. What is the remainder when 1\/2 - r\/4 is divided by 8*((-28)\/(-16) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 641718*o = 0.\nAnswer: 0, 213906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -108705, -217417, -326131, -434847?\n\"Answer: -u**2 - 108709*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.5 - 15.5. Which is the closest to 0? (a) l (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {i: 5, v: 7, k: 1}.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008481 to five dps.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 36 = 3*j, 4*j + 2*p - 26 = 46. Suppose -11*k - j = -3*k. Is 198\/27 - (k\/(-3))\/(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*q = 77*q + 1705. What is the remainder when q is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:46 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3 - 14*x**2 + 22*x - 10 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68749801909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -99309487?\nAnswer: -3\/99309487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let r be (-1)\/(-2) + (-3)\/6. Suppose 3*s + 0 - 6 = r. Let z(d) = -5*d - s*d + 3*d + 5*d. What is i(z(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (-5*sqrt(12)*-5)\/(sqrt(6) - (sqrt(486) - ((sqrt(486) - sqrt(486)*6) + sqrt(486))))).\nAnswer: 25*sqrt(2)\/22 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, -1\/2, 2\/31?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/(-4)*1*(-5 - -1). Let k = d - 47. Calculate the common denominator of k and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 1 + 630196*u + 7 - 630196*u.\nAnswer: 4*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21942\/13, 15, 0, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -37, 2, -4, 1 in increasing order.\nAnswer: -37, -4, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-210)*-6*20*7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 365476405 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2736) + (sqrt(2736) + (-1 + sqrt(2736))*4)**2).\nAnswer: -205248 + 1404*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/659360 and 75\/16.\nAnswer: 659360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -j - 21 + 50 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 8. Let k(h) = -h**2 + 2*h + 15. Let x be k(5). Suppose -2*a + x = -p + 14, 4*a = -4*p - 52. Determine z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvnhrrrrrnnrn. What is prob of sequence nnn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 562672, -4, -0.5?\nAnswer: 562672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 223313 (base 4) to base 2\nAnswer: 101011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5 + 3*u**4 + 1722*u**3 - 327155*u wrt u?\nAnswer: 20*u**3 + 36*u**2 + 10332*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 59, 166, 367, 692?\n\"Answer: 5*h**3 + 2*h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 93181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670023 to the power of 1\/2, to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 0)\/(-1) - -2. Let y be p + (-3 - -5) + -5. Suppose 0 = -n - 0*n. Which is the closest to n? (a) -4 (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/84*-6)\/(9\/12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 4 = -45 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4725 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b - 12. Let n = b + 1. Let h = 42 - 41.7. What is the nearest to n in -0.3, -5, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(33\/30))\/((-4)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/79680 and 151\/5577600.\nAnswer: 5577600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -655 + 655 + 53*d to u*d + h and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*n - 6880 - 10144 = -20*n. What is the remainder when 707 is divided by n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 1. Suppose -2*u - 4 = 6. Let t be j(u). Let n = t + 4. Solve 2*x - n = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {t: 2, q: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 6. Solve c*h = 9 + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -21*z**2 + 9. Let o(f) = 11*f**2 - 39*f + 3. Let k(l) = -76*l**2 + 286*l - 22. Let w(u) = 3*k(u) + 22*o(u). Give h(w(p)).\nAnswer: -4116*p**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*v. Let b be 8\/v*(-13)\/(-156). Suppose 0 = 4*z - g - 10, -4*z = -9*z + 4*g + 18. Which is greater: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(66) + ((sqrt(66) + (sqrt(66) - sqrt(66)*-1) - sqrt(66) - sqrt(66) - sqrt(66))*-5 - sqrt(66)) + sqrt(66))\/sqrt(6)*-4*6.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, -0.3, -2\/29, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -11 - -14) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/367 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0)\/(-4 + 6). Let a be (-2 + 5)\/(-3) - -11. Solve -4*s - 3*u - 20 = g, -2*s + u = -4*u + a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 8 = 12*r. Let n(k) = 0 + 11*k**2 - 2 - 1. List the prime factors of n(r).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*b - 6 = b, 5*b = 4*t + 15. Let n = t - -4. Suppose 33 = 2*w + 5*k, -3*k = -k - 6. What is the remainder when w is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h + 4*h)*(-2 + 0 - 5).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let x(r) = -1. Let i(y) = -3*y**2 + 3. Let n(u) = i(u) + 3*x(u). Give n(q(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/((-616)\/(-21))*(-456)\/46683?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 5 = 107. Let g be a\/(21\/12) - 4. Solve g = -5*c + c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/6*(9 + -7). Solve 3*u - 9 = 2*l, -6*u = o*l - 2*u - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -177148 and 0.05348223?\nAnswer: 177148.05348223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317412654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 3331801833.\nAnswer: -3331801832.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15\/301 - -4\/43. Put -4, -14\/5, b in decreasing order.\nAnswer: b, -14\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8043 - -8379.1. Let j = s - 358. Let t = -10.2 - j. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(-2*(-1)\/(-4)). Suppose -t*p - 6*s = -11*s - 85, 5*p - 4*s = 133. Calculate the remainder when p is divided by (-1 + 14)*(-2 + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*k + 5*p, -1 = -2*k + 5*p + 15. What is the nearest to k in -3, 3\/7, 2, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77\/142 - 3\/71. Let p(r) be the first derivative of 1\/4*r**4 + r**3 - 4*r + 4 - l*r**2. What is p(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1\/20*f**5 + 0 + 2*f**2 + 63*f - 1\/4*f**4 - 7\/6*f**3. Calculate o(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 8*n + 20. Let t be l(5). Suppose t*k = 192 + 93. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 + 33*o**2 + 12. Calculate y(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130.7 + -130.700757. What is r rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q**3 - 1)*(4*q + 0*q - 4 - 9*q).\nAnswer: 10*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, f: 2}. What is prob of sequence uuff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.5322431 rounded to 3 dps?\nAnswer: -28.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 69. Give n(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 681454.7 milligrams?\nAnswer: 681454700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*a - 596*a + 1178*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeydedeadjjywwweyejw. Give prob of sequence dj.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l. Let x = -5 + 22. What is the remainder when 32 - l*(-2)\/6 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, 3 in ascending order.\nAnswer: -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*12\/27*-21. Suppose 4*h + 21 + 15 = 0. Let s = h + z. Sort -3, s, -2 in increasing order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {q: 5, t: 2, y: 10, b: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000898289 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(-6*sqrt(405)*-2 + sqrt(405))**2 - (4 + (-2*sqrt(405))**2 + -4)) + 3.\nAnswer: 66833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -961*p**3 + 11*p**2 - 78*p - 1. Let z(n) = 480*n**3 - 5*n**2 + 33*n + 1. Give -3*c(d) - 7*z(d).\nAnswer: -477*d**3 + 2*d**2 + 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Let x(t) = -36304346*t**2. Calculate s(x(b)).\nAnswer: -3954016615463148*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/3)\/(16270\/(-8130) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 2*p - 8. Let v(q) = q**2 + q + 1. Let t = -8 - -18. Suppose 0 = 2*x, 2*h + x - t = -0*h. Let k(m) = h*v(m) + l(m). What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - t)*(-2*t + 2*t + 2*t) + (0*t + t + 0*t)*(0*t + t + 0*t) - 5*t**2 + 62562*t - 9 - 62562*t + 4*t**2 - t**2 + 0*t**2.\nAnswer: 5*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/12 + -13\/12. Which is the fourth smallest value? (a) -0.3 (b) 3\/4 (c) 0.4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14*(-49)\/168. Let d(y) be the third derivative of 0*y + u*y**4 - 1\/6*y**3 + 2*y**2 + 0. Differentiate d(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 23 + 3. Let j = 180 + -179.3. What is the second smallest value in 0, j, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = y, 4*y + 21 = r + 2*r. Let w = -0.15 - -0.15. Let a be -6 - (-5)\/((-10)\/(-4)). Put y, a, w in decreasing order.\nAnswer: w, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 191\/2*v + 1\/2*v**2 + 732.\nAnswer: (v + 8)*(v + 183)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.45808615 rounded to 2 dps?\nAnswer: 67.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-495934.3.\nAnswer: 247967.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5, 2*h + 3*x = -2 + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in -24, -2, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6154476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = -6. Let o be n\/((-7 + 3)\/(-4)). Let m be 2\/2 + -4 + o. Which is bigger: -2\/5 or m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 27. Let q be s(-14). Suppose 12 = -k + 5*k + 4*x, -2*k = -5*x + q. Let t = k - -32. What is the highest common factor of 32 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/272 and 9\/32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 42 = 3*c, 2*c + 2*s - 13 = c. Let w = -9 + c. What is the remainder when 35 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - w - 4*w)*((2 + 1 - 2)*(-1 - 2 + 2) + (4 - 1 + 0)*(-47 + 74 - 105)) to q*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -85, -237, -533, -1021, -1749, -2765?\nAnswer: -4117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23583 is divided by 5884?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -461*z + 56 - 3*z**2 + 498*z - 28. Give q(12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -87, 0.055, 4?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(66)\/sqrt(2))\/sqrt(11)) + 3.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32444110 (base 5) in base 16?\nAnswer: -44a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844 - 2482 = -6*q. List the prime factors of q.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.95 + 0.05. Let q = 2.148 - 0.048. Let n = q - j. What is the second smallest value in n, -0.1, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 22*u**2 - 4. Let p be h(0). Let d(l) = -5*l + 8. Determine d(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 576 + -576.5. Which is the biggest value? (a) -8 (b) m (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3 - 12. Let p = z - -2. Let d = 238\/1557 - -12\/173. Which is the closest to 0.1? (a) -4 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 2*a**2 - 5*a - 1. Let z be x(4). Suppose n - 3*n + 12 = 0. Let j = z - n. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-35) - (-44 - (-144882)\/3402).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 5*q**2 + 6*q + 2. Give n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*z - 18016*f**3 - 82*f**2*z - f**2 wrt f?\nAnswer: -12*z - 108096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 5:11 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 555968183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/3*(-40)\/(-6). Suppose -12*p + 21 = f - 9*p, -4*f + 4*p = -4. Calculate the highest common factor of n and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159003 is divided by 219.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:15 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 5. Let q(v) = v**3 + 5*v**2 + 4*v - 5. Let s be q(-4). What are the prime factors of o(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 828 = 42*g. Let d be (-3)\/(g\/(-91) + 3). What is the highest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b**2 - 51*b**3 - 44*b**3 + 86*b**3 to c*b**3 + r + v*b + a*b**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-6)\/(-288) - (-16 + (-345)\/(-180)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2 + 2*l - 5. Let b(f) = 20*f**2 + 6*f - 14. Let x(r) = -6*b(r) + 17*v(r). Calculate x(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274517 or -274518?\nAnswer: -274518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 4:36 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(125) + sqrt(125) + 2)**2.\nAnswer: 240*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1185926 divided by -84709.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = o. Let t be (2\/(-3))\/((-1)\/o). Suppose -5*y + 3*k - 12 = 0, t*y = -0*y + 2*k - 8. Which is bigger: y or -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -85405*t. Let d(p) = 7*p. Give d(z(l)).\nAnswer: -597835*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1)*(-26)\/2548*7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-14))\/(44\/(-154)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 + 8*n**2 + 11*n - 12. Let o be f(2). Suppose t - d + 3*d - 5 = 0, 20 = 4*d. Put o, t, -1, 5 in increasing order.\nAnswer: t, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) - 1032\/(-18). Suppose q - z = -0*t - 3*t, 0 = 2*t + q - 38. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 31*u**2 - 85*u - 27. Let i be n(-28). What is the tens digit of (-29)\/(1*(0 + -1)*i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321 (base 6) to base 8.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -346.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j - 122. Give q(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -122, -174, -208, -218, -198, -142, -44?\n\"Answer: x**3 - 71*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(12)\/sqrt(3)*-4).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*s**2 - 2370*s**2 + 1252*s**2 + 504*s**3.\nAnswer: 504*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**2)**4)**(8\/15))**(-23))**(-35) assuming p is positive.\nAnswer: p**(10304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.1 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - b - 5, 5*b - 5 - 8 = y. Let m = -29 - -2. Let v = 30 + m. Solve y*n - 3 = v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/14509 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 13. Let m = -12 - f. Suppose -3*p - 7 = -2*x + 3*x, -5*p - 41 = -m*x. What is the smallest common multiple of x and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60\/19 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/27))\/((w\/(w**(-12\/11)*w)*w)\/w) assuming w is positive.\nAnswer: w**(-5\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*u - 2848 = 2*p - 320, 2*p - 72 = 4*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from {k: 1, f: 4, y: 2, j: 3}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74939241 is divided by 334?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*sqrt(6)\/sqrt(3).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 37285854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 47591784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 224\/(-120) - 4\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68256 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -88, -116, -124, -106, -56?\n\"Answer: q**3 + q**2 - 52*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1825 = 4*y - w, 2*w + w = -y + 453. Suppose -3*u = 3*p - y, -42 = 3*p - 2*u - 523. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -949507, -3798212, -8546053, -15193030, -23739143?\nAnswer: -34184392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 709*g**2 + 27*g - g + 695*g**2 - 26*g.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 14. Let w be b(10). Is w >= -11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90650 - -0.2560367\nAnswer: -90649.7439633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -5.852\nAnswer: -5.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 8153\/151. Let k = 446\/1057 - v. What is the closest to 0 in k, 2\/21, 4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.881 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-10458.\nAnswer: -282366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 - 6*q**2 + 32*q + 17. Let s(d) = -d**3 + 7*d**2 - d - 24. Let a be s(6). Let g(i) = -2*i**3 + 2*i**2 - 11*i - 6. Calculate a*r(n) + 17*g(n).\nAnswer: 2*n**3 - 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0407842 rounded to 4 decimal places?\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 7*k**2 + 1\/168*k**8 + 2\/15*k**5 + 0*k + 0*k**3 + 0 + 0*k**6 - 1\/35*k**7 + 0*k**4. Factor h(o).\nAnswer: 2*o**2*(o - 2)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-3))\/(2\/(-12)*124\/589*95).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 477298 (base 14) in base 4?\nAnswer: 21103230012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.941 + -0.019. Let q = -0.04 + i. What is the closest to q in 1, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlb. What is prob of picking 1 d and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**3 + 15*y**2 - 13*y + 9. Let i(l) = -5*l**3 - 7*l**2 + 6*l - 4. Suppose 14 = 4*s - 10. Give s*x(j) + 13*i(j).\nAnswer: j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 428\/5. Let p = -4.09 - -0.09. What is the second smallest value in p, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102299 (base 10) in base 11?\nAnswer: 6931a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 3*i**3 - 41*i**4 + 4*i**4 + 2*i + 0 + 40*i**4 as a*i + z*i**4 + x*i**2 + t*i**3 + r and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -753 + 778. Suppose -j*o = -16*o - 1242. Suppose -3*h + 158 = -256. Do o and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 964.3 + -965. Let b = -1.29 - -0.29. Sort b, i, 0 in descending order.\nAnswer: 0, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 6*f**2 - 2*f - 4. Let o(y) be the first derivative of -y**4\/2 + 2*y**3 - y**2 - 5*y - 794. What is 4*o(v) - 5*q(v)?\nAnswer: 2*v**3 - 6*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 equal to -772611511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854 (base 9) in base 2?\nAnswer: 101101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a*a*a*a\/(a**0*a)*a*a)*a\/(a**(-1\/8)\/a)*(a**(-2))**(-38)*(a**1\/(a**(7\/6)\/a))**(3\/2) assuming a is positive.\nAnswer: a**(611\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5108936928 to the nearest integer?\nAnswer: 71477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/2, 2\/3, 19, 0.099?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {y: 1, b: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468190, 1872644, 4213366, 7490356, 11703614?\nAnswer: 16853140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*l + 5. Suppose 0 = 4*g - 3*x - 17, -l*g + 10*g + x - 45 = 0. Suppose 0*j - g = -4*j. Solve 0*p = 2*p - z, -4 = -j*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3226063 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4141 + 4140. Put 7, 33, n, 0.5, -4 in decreasing order.\nAnswer: 33, 7, 0.5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10302.148992 rounded to one decimal place?\nAnswer: 10302.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 5 = 0, 5*m + 19 = 2*z. Suppose -2*w - 2*w = 5*u, 0 = -3*u + 2*w + z. Solve -5*i = u*s + 22, -2*i + 9 = -5*s + i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*x**3 + 153*x**2 - 310*x**2 + 144*x**2 - 2.\nAnswer: 2*x**3 - 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 841886 (base 10) in base 6?\nAnswer: 30013342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 - c**3 - 11*c + 12*c**2 + 2*c - 3*c + 12. What is the least common multiple of 1 and r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254375 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02879 + 7.02879. Which is the second smallest value? (a) 62 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -4\/27291, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 3*b + 15. What is l(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20196*z + 145 = 20167*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 35, 0.02, 2, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3296, 3295, 3294?\nAnswer: 3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Solve -h*o = 1 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14235 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o + 0*o**2 - 4*o**2 + 0*o.\nAnswer: -4*o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12635 = -4*k - 12543, 5*u = 2*k - k + 103 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 15 - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 0.16, 2, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 0.1, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*(0 + sqrt(468) + 4))*6)**2.\nAnswer: 20736*sqrt(13) + 160848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2709*l + 1155*l - 68778 = 6088*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (11 + -36)*(-1)\/(-3) and -119\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20452511 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2 - 2*i + 3. Let q be r(2). Suppose 3*k = -2*y + 3, -2*k - 3*y = -4*y - 9. Solve -g + k + 8*g + q*g + 3*g**2 - 16*g = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0 + 0*n**3 + 1\/60*n**5 + 1\/24*n**4 + n**2 + 0*n + 1\/40*n**6. Determine v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1157130608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(832)*1*-6.\nAnswer: 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = 5*r, 7 - 3 = 2*r. Suppose -3*o = -o + 10. Let j = o + h. Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 18*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/190 and 115\/18?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + v**3 + v**2 - 5*v**2 - 4*v**4 + 5*v**2 + 1 to f + p*v**2 + j*v**4 + c*v**3 + n*v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 80. Suppose -3*x + 396 = 3*a - 5*x, -396 = -3*a - b*x. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568941, -568920, -568899?\nAnswer: -568878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1914*r**3 + r**2 + 6*r + 1. Let y be o(-8). Suppose -a = -5*g + 489985, -2*a = 2*g - 7*g + y. Round a to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (15 + -21 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by 35484?\nAnswer: -41\/8871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/((-2538)\/81))\/(((-18)\/(-267))\/2).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 363\/77 + (-4)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g = -32*g + 100 - 1000. Calculate the lowest common multiple of g and 630.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + p = 0, 4*s = -p + 4*p - 3. Let a(x) = x**2 + 2*x - 3. Let n be a(s). Suppose n*c + 24 = 3*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 - 13*q - 9. Let h be w(-3). Let g be -1 + h\/(-68) + 688\/68. Solve 3*n = 3*l + n - g, 4*l - n = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q + 210*q + 18937 = -4*q - 5591 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let v(j) = 11*j**4 - 7*j**2 - 1. Let d(k) = -k**4 + k**2 - 1. Let w(q) = p*v(q) + 2*d(q). What is the third derivative of w(r) wrt r?\nAnswer: -576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81415, -162833, -244251, -325669, -407087?\n\"Answer: -81418*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186938*p + 874 = -186900*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105058, 4, -3, -2 in decreasing order.\nAnswer: 105058, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 20307805.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6490132 divided by -1?\nAnswer: -6490132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 19380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.47 + 2.37. Which is the nearest to z? (a) -1 (b) -13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 320 = -312 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/1*90\/27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgkb when four letters picked without replacement from {g: 1, p: 1, f: 1, k: 1, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u\/((u\/u**(3\/11))\/u)*u)\/u))\/(u*u**(-11))*u**10\/u*u**(-1\/19) assuming u is positive.\nAnswer: u**(3903\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -837\nAnswer: 5\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176801779 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 11*y**2 + 2. Let m be n(-11). Suppose m*i = -i. Suppose i = 2*s + 5*o - 221 - 90, 404 = 3*s - 5*o. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294 - -293.8. Sort -7\/5, 7, 1, -9, g in decreasing order.\nAnswer: 7, 1, g, -7\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (17 - 26 - -12).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 136*t - 25. What is the hundreds digit of d(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*z**2 - 4*c*z + 410*c + 354964*z**2 wrt c.\nAnswer: z**2 - 4*z + 410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17770 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -0.4, 58, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 2*q**2 + 2. Let p = 1 - 3. Let w be r(p). Solve 4*l + 6 = 2*s, 5*s = w*s - 3*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12781.4 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x + 118. Let k(h) = 6*h - 77. Let q(d) = -8*k(d) - 5*w(d). Let o(u) = u**2. Determine q(o(p)).\nAnswer: -3*p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) 0 (d) 2\/13 (e) -4593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/5 + 6328*z**3\/5 - 2515344*z**2\/5 + 9979272*z\/5 - 7470252\/5 = 0. Calculate z.\nAnswer: 1, 3, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w, -4*d + 9*d - 2*w = 192. Let k = 70 - d. Suppose c - 45 = -3*n, 5*c = 3*n + c - k. Calculate the smallest common multiple of n and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esgglgessezsgeeg. What is prob of picking 1 e, 1 z, and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2024232232 + 104?\nAnswer: -2024232123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - b - b - 19 - 71 + 91 - 733*b - 1 - 2*b + 1 + (0 - 1 + 2)*(-b - b + 0*b) + 2*b - b - 2*b.\nAnswer: -737*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -6)\/((-1)\/8). Calculate the remainder when 2 + (-3)\/(6\/p) is divided by (182\/65)\/7*15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28414 divided by 194\nAnswer: -14207\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -138 and -13318\/97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24264, 24268, 24272, 24276, 24280, 24284?\n\"Answer: 4*r + 24260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzb when three letters picked without replacement from mkzub.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -3*u, -5*j = 2*u - 13. Let o be 2 + -4 - j - -31. Suppose 2*b + 4*y = -0*y + o, 16 = 4*y. What is the greatest common divisor of 48 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -473349*i**4 - i + 2315892?\nAnswer: -1893396*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 28*m**2 + 54*m + 57. Let j be u(-26). Suppose -2\/11*v**j + 4\/11*v**4 + 2\/11*v + 0 - 4\/11*v**2 + 0*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -484, -0.3, 1, -3\/8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3564 and 10476?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/42 + w**3\/21 + 13*w. Determine k so that j(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = -2*p + 11, 2*y + 6 = -4*p. Suppose p = -0*i + 5*i. Suppose 5*j + 0*q = -2*q + 25, i = 5*j + 5*q - 10. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -769 + 772. Suppose 5*x - 2*u = 8, 11*u - b = -x + 10*u. Solve -2 = -3*d + x*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**3 - 5*c**2 - 14*c + 1. Let n(i) = 3*i**3 + 2*i**2 + 7*i - 1. Calculate -2*j(h) - 5*n(h).\nAnswer: -h**3 - 7*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 8*p**2 + 14*p - 6. Let g = 112 + -106. Let o be n(g). What is the remainder when (o\/4)\/(11\/22) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.33206351 to three decimal places.\nAnswer: 5.332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-69102.\nAnswer: -69102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2\/5 + 428*a\/5 + 168 = 0?\nAnswer: -105, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -13) + (5 - (-6 + 18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16a4 (base 12) to base 6\nAnswer: 20324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 4*w. Let b(k) = -3*k**2 + 2*k + 1. Let y be b(-1). Suppose 0*t + 9 = -t. Let f(x) = -11*x**2 + 9*x. Calculate t*d(p) + y*f(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 23980\nAnswer: -13\/23980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(w**2 + 2*w**2 - w**2) + (2*w - 110 + 110)*(12 + 34 + 11)*(2*w - 3*w + 0*w) to f*w**2 + u*w + r and give f.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-24)\/(-60). Let v(r) be the second derivative of -r**2 + x + 1\/6*r**3 - r. Calculate v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2947, 5896, 8845, 11794?\n\"Answer: 2949*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8625\/(-90) - (-1)\/(-6)*1. Let l be ((-3)\/(-5))\/(a\/30). Let p be 3*1*24\/108. What is the third smallest value in p, l, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4902.048g to nanograms.\nAnswer: 4902048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 - 164. Let r(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - 7*c**4\/24 + 2*c**3\/3 - c**2. Is 12 a factor of r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/40 and 14 - (-2)\/33480*-232857.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 9 + 13 + 2*z. Calculate the remainder when (4 - 1) + 33 - 3 is divided by h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -847 + 842. Let h be 5\/25 + 9\/(-95). Put -4, g, 0.1, h in ascending order.\nAnswer: g, -4, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-1 + 8*-1). Suppose 5*u - h = 104. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-70) - 202\/(-7). Let h be (0 + 24)\/((-9)\/(-12)). Let p = n - h. Let j(q) = -q**2 - 2*q + 5. What is j(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121120, -241303, -361476, -481633, -601768, -721875?\n\"Answer: g**3 - g**2 - 120187*g - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 + 8774*d**2\/9 - 8776*d\/9 = 0 for d.\nAnswer: -4388, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 127. Let p = 117 + z. Let g = 72.7 - p. Which is the nearest to 0.2? (a) 0.5 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-18))\/(21 + (-1146)\/54). Suppose -p - 4*p = 0. Solve -v*r + 2*f - 1 - 25 = 0, p = -5*r + 3*f - 34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/10 - 23*r**4\/12 + 2*r**3 - 11*r**2\/2 + 64*r. Let o be b(11). Solve o = 3*l - 3 + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(325))**2.\nAnswer: 30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 232043.2 years?\nAnswer: 232.0432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1162 in ascending order.\nAnswer: -2, 2, 1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 18*d**2 - 6. Let h = -5791 - -5792. Let s(m) = m**2 + 1. Determine h*k(o) + 6*s(o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*z + 29 = 0, -3*s + 37 = -0*s - 2*z. Let m = -9 + s. Let b = 24 - 14. Calculate the least common multiple of m and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 12*w**2 + 7*w - 13. What is the units digit of z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -40\/929 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160*o**2 + 43*o**2 + 504*o**2 + (-3*o + 4*o - 3*o)*(-o - 2*o + 2*o))*(-1 - 2 + 4)*(3*o - 4*o - 3*o) as g*o**3 + t*o + w + c*o**2 and give g.\nAnswer: -1556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 334*r**3\/3 + 9977. Let h(i) = 4*i. Give h(y(t)).\nAnswer: 1336*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(x\/(x*(x**(2\/9)*x)\/x)))**(3\/4)*((x\/((x\/x**(-1\/4))\/x))\/x)**(3\/47)*x**(-3)*x**(-2\/5) assuming x is positive.\nAnswer: x**(-1409\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -676 - -772. Solve -17*j + b - 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-11183.\nAnswer: 1118.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -780 - -0.2\nAnswer: -779.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -206? (a) -7135.7 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10244 (base 8) to base 7\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*h**2 + 338*h**2 - 7*h**3 - 677*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(12)\/sqrt(4))**2 - (sqrt(363) - (1 + sqrt(363))) - ((sqrt(192) + 3)*-1)**2.\nAnswer: -172 - 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -36*i**2 + 47*i**2 - 1 + 2. Give w(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -610603111*h - 294915527 wrt h.\nAnswer: -610603111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 times -1.12476\nAnswer: 0.3599232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7356 and 11216?\nAnswer: 20626224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) + 26\/10. Let k(x) = -x**3 + 3*x**2 + 2*x - 4. Let o be k(m). What is the least common multiple of 1\/o + 20\/8 and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8437728 kilograms?\nAnswer: 843.7728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3*w**2 + p**3*w - 9*p**3 + p*w**2 + 77*p wrt p?\nAnswer: -6*p*w**2 + 6*p*w - 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.4, -3\/7, -3, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 75, 145, 255, 411, 619, 885?\n\"Answer: j**3 + 11*j**2 - 4*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -17*w. Suppose 6 = -3*u + 4*p - 16, -p = -5*u - 31. Let z be (-3)\/u*(1 + -3). Does 10 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -34. Is ((-12)\/t - 0)*970\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*q + 285. Find the common denominator of 95\/6 and 48\/q*(-1)\/34.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 820905 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 187 - (1 + -1 - -3). Suppose -3*h + 14 = -m. Let n = h + -29. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q*q*q\/(q*q**2))\/q*q)\/q*q)\/q**4*q**(-3)*q**(-3\/4))\/((q*q**(-1\/2))\/q**7)**1 assuming q is positive.\nAnswer: q**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15707431 + 4?\nAnswer: -15707426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4724 - -4\nAnswer: 4728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1692482, -6769907, -15232282, -27079607, -42311882?\n\"Answer: -1692475*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 541710060 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84192?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 170.6, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 1)*-4 + sqrt(325) + -1 - (-1*(1 + sqrt(637)) + sqrt(637)*2 + 0))**2.\nAnswer: 176*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 + -15 - -48*1 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 2*c + 7. Let g be k(3). Let d be 24\/g - 2\/5. Let i(s) = d*s - 8*s - s + 11*s. Let v(j) = 3*j. Calculate v(i(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -33, -71, -145, -267, -449?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 b when four letters picked without replacement from {p: 1, x: 2, s: 2, b: 6, o: 4, n: 2}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*x = 392, -5*v + 2*x + 3*x + 380 = 0. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/3 + 2*g**2 - 2*g. Let s(h) = -5*h**2 + h + 4. Let a(v) = -3*s(v) + 4*w(v). Let q be a(-3). Solve -4 - 4 = -q*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4366, 17507, 39380, 69961, 109226, 157151, 213712, 278885?\nAnswer: 352646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36369 + -36385.9948. Let b = d - -17. What is b rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/900 - g**5\/150 + g**4\/60 - g**3\/6 - 3*g. Let w(o) be the second derivative of v(o). Solve w(r) = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*m + 4*g - 5*g, -5*g = -m + 19. What is the closest to m in 0.1, 3, -0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose -o*a + 12 = -a. Let g(i) = 9*i**2 - 13*i + 3. Is g(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-3 + 3 + -1). Let x be 1*(1 + -22 - h). What are the prime factors of (4\/(-2))\/(6\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*w, w + 10 = -2*t + 5*t. Suppose -t*r = -6*r + 12. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Let u(b) = -11*b - 3. Let t be u(-3). Suppose 2*d + d = t. What is the least common multiple of x and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29c (base 13) to base 10.\nAnswer: -467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 1 = -3*z - 5*t, 26 = -4*z + 2*t. Does 9 divide -6*z\/8*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-28)*u**15*(u*u**(1\/3)\/u*u*u*u*u)**(-22\/3))**(11\/6) assuming u is positive.\nAnswer: u**(-4433\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 3*w**4\/28 - 6*w**2\/7 - 18. Determine c, given that l(c) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -2. Let a be (-30)\/12*2*-1. Suppose a*k + 30 = l. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5179\/35 + -148. Let p = j - -8\/35. Let z = 0.5 + -3.5. What is the biggest value in z, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -12)\/((-9)\/(-2)). Let k = 6 + -11. What is the nearest to 1 in c, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**3\/3 + 6*u**2 - 11*u + 3. Does 17 divide z(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let g(b) = -984*b**2. Give g(c(s)).\nAnswer: -3936*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 375810359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 v, and 1 y when four letters picked without replacement from vttctgttgytyyv?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/56*(-2054)\/39. Is 5 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r + 3. Let z(s) = -6*s**r + 0 + 0*s**3 - 2*s**2 - 2*s**3 + 1. What is the units digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 872628?\nAnswer: 872624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*k + 60. Let v(j) = -j + 9*j + 5 - k. Let g(f) = -f**3 - 2*f**2 + f. Let r be g(-2). Determine v(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 45 = -r + 4*r, -w + 3*r + 9 = 0. Let g = 14 - w. Suppose -g*u = -9*u - 8. What is the closest to -1\/5 in -1\/4, -0.5, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/5912 and -85\/144.\nAnswer: 106416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/67))\/(y\/((y**(-25)*y)\/y)))\/(y**(-14)\/y**0) assuming y is positive.\nAnswer: y**(-735\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r. Let y(d) = 15*d**2. Determine w(y(n)).\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - ((-22 - (7 + -4)) + 6)) + -95\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -53 - 29 - (1 + 4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k - 1. Let p be (k\/3)\/((-3)\/(-252)). Let o = 49 + p. What are the prime factors of o?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.8834 rounded to 1 decimal place?\nAnswer: -60.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -32.8, -107.9, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1988922511 from 2.\nAnswer: 1988922513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 15305?\nAnswer: -15302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 636 (b) -5 (c) -2 (d) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.86 - 1.33. Let s = 0.73 - j. Which is the second biggest value? (a) -3\/7 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3000)\/(-125)*(-14)\/8 - -51?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - t**2 + 2*t + 43. Let c(x) = -7*x**3 + 2*x**2 - 5*x - 87. Let n(s) = 2*c(s) + 5*o(s). Is 7 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6220*d**3 - 5*d**2 - 2363*d - 5 wrt d.\nAnswer: 37320*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.49 and -39241.\nAnswer: -39243.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 + 48 = 2*y - 2*c, 4*y + 3*c = 638. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Let q be 24*(-2)\/(i\/(-3)). Suppose 5*c - c - q = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p + 0*p + 2*p. Let j be (3\/12)\/((-2)\/(-16)). Let t(n) = -j*n**2 - n + 5*n - 4*n. What is t(g(m))?\nAnswer: -98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1453765 or 5?\nAnswer: -1453765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 1, z: 1, f: 6, m: 1}. Give prob of sequence ma.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27b1 - -3?\nAnswer: -27ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526237 is divided by 6340?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -1 + -2 + 1. Let w = -83 - -82. Sort q, 1, w.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.5 - -4. Let h = -1.6 - g. Put -0.2, h, -5 in decreasing order.\nAnswer: h, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/13)\/((12\/1296*-9)\/((-1)\/12))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11490340 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 494116258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122884671?\nAnswer: 3, 7, 13, 450127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 5*n - 3. Let h be u(2). Suppose h + 0 = 3*w. Find the first derivative of r**3 + w + r**3 - r**3 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(300)*-1)**2*-1.\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/720 + 19*z**5\/45 + 6901*z**4\/144 + 4489*z**3\/2 + z**2 + z + 1820. Factor v(d).\nAnswer: (d + 18)*(d + 67)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/11)\/(h**36*h) assuming h is positive.\nAnswer: h**(-410\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2. Let i(q) = -123763*q. What is x(i(y))?\nAnswer: 45951840507*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 3*a - 6, 3*x = -4*a + 3. Solve -a*f = -6*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/49, -95, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 817 = -1305. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*u + 847*u + 249*u + 39060 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*b - 15*a + 8, 2*a = -5*b + 4*a + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 13*z - 6. Let q be t(-12). Let m(c) = 5*c - 9. What is m(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*n - 6, 2*n - 51 = -2*p + 5*n. Suppose 302 = 4*q - 26. What is the remainder when q is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1850 + 1853. Solve 0 = p, c*k + 7 = 4*p - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -209190.\nAnswer: 1\/41838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5248886 is divided by 262444.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24365575 (base 8) to base 6\nAnswer: 311023033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11490, 11495, 11500, 11505, 11510, 11515?\n\"Answer: 5*u + 11485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + -6 + (3 - (13 + -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 + -21 - (2 + (-6 - -2))) + (1 - 4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 5, -0.2, 0.18 in decreasing order.\nAnswer: 5, 3, 1, 0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + 0*z**4 + 3*z**4)*(z - 2*z + 3*z + (0*z + 3*z - 5*z)*(3 + 0 - 1)).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17.945. Let h = -0.0550046 - g. Round h to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**3 - i**2 - i + 1. Let s = 15 + -14. Let z be y(s). Calculate the common denominator of ((-2)\/(-4))\/(z\/(-89)) and 27\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -927 - -931. Let a be 1*4 - (2 - 2). Find the second derivative of 12*i + 0*i**4 - 9*i**l - i**a - 17*i wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/11)\/i*i)**(-6\/17)\/(i**(-7)*i**(-10)) assuming i is positive.\nAnswer: i**(3185\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -49. Let s = f + 35.53. Round s to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -2, -441, 57, 156 in decreasing order.\nAnswer: 156, 57, 4, -2, -3, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 470 divided by 5\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*k + 19, -2*s - 2*s - 2*k + 2 = 0. Let m be 8*5\/s*1. Let g be (12\/10)\/((-6)\/m). Solve -i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + x = -32, 0 = 5*h + 2*x + 2*x - 54. Suppose 0 = -2*m + j - 0 + h, 5*m = 3*j + 36. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12 + 50\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1 - -19)\/2. Let f(x) = -10*x - 6 + 5*x + 19. Let v(n) = -21*n + 53. Let z(m) = r*f(m) - 2*v(m). Let y(g) = g - 4. Calculate -11*y(c) - 4*z(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3847483, -3847478, -3847473?\nAnswer: -3847468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45971 or 45972?\nAnswer: 45971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssdsfgffgfyyb. What is prob of sequence sgfy?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4611\/(-6))\/(19 - 39\/2). Solve -x*w = -1533*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -62087*v - 5215283. Calculate q(-84).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15180, -15181, -15182, -15183, -15184?\nAnswer: -15185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-132*1*73\/(-2))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 29 = -6*o. Let a(d) = -2*d**3 + 7*d**2 - 3*d + 5. Let c(t) = 3*t**3 - 10*t**2 + 4*t - 7. Let j(g) = o*a(g) + 5*c(g). Let h = 5 - 7. What is j(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48599.89s in nanoseconds?\nAnswer: 48599890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/(-15) + 22\/(-55). Let k(i) = -3*i - 10. Let z(y) = y**2 - 12*y + 6. Calculate the least common multiple of k(l) and z(12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 50, 29, -8, -67, -154?\n\"Answer: -w**3 + w**2 - 7*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 26*g**2 - 80*g + 1774. Calculate r(20).\nAnswer: -2226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (9 + -13 - ((7 + -3 - 2) + -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 0*j**5 + 29*j**3 - j**2 - 30*j**3 + j**4.\nAnswer: j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 - 1)*(-54)\/45 - 2. Suppose h = b + 4*y, 3*y - 1 = 5. Suppose 6996 = 3*w - b*g, g + 6993 = 3*w - 0*g. Round w to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 177*z**2 + 137*z + 463. Is h(89) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f. Suppose -3*u + f + 2 = 2*b, 0 = -b + 4*u + 1. What is the highest common divisor of 7 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 4*j**3 + 0*j**3)*(4*j - 2*j - 4*j).\nAnswer: 8*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -769, -1721, -2849, -4153, -5633, -7289?\n\"Answer: -88*q**2 - 688*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245175177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -52918340 times -1.2\nAnswer: 63502008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152060 (base 12) in base 5?\nAnswer: 1323421044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 5 (b) 1214437 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 6*x.\nAnswer: -2*x*(x + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749981.\nAnswer: 113, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393 divided by -18?\nAnswer: 1393\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g**3 + 11*g**3 + 18*g**3)*(3 + 3*g - 3) to the form j + m*g**2 + h*g**4 + s*g + c*g**3 and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1339*r**6 - 16*r**5 + 21*r**2 - 14*r + 3 wrt r?\nAnswer: -160680*r**3 - 960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*l = -14, 14*l - 24 = 4*i + 11*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m**2 + 5. Let u(d) = -21*d**2 - 3. Let g(r) = -43*r**2 - 3. Let z(w) = -3*g(w) + 5*u(w). Determine -6*v(q) - 5*z(q).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 408768779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145979759 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332618 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240054*z**3 + 253268.\nAnswer: 720162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1) + -1 + 0. Suppose -a + 3 = -0*a + 2*k, a = -3*k + 2. Differentiate z + l - 5 + a - 2*z wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*h - 40, -s + 2 = 2*h + 3*h. Which is smaller: -14 or s?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -974 + 1004. Calculate the lowest common multiple of 40 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 104. Let z be (-6)\/v - (-20519)\/68. What is the highest common divisor of 43 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2866*m = 2886*m - 5776*m + 40200. Is m less than or equal to 1684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 10. Let m be p(-15). What is the third derivative of -m*b**3 - 11*b**3 - 22*b**2 + 7*b**3 - 8*b**3 wrt b?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 2346045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 73, 283, 691, 1363, 2365?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l + 35. Determine q(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrw when three letters picked without replacement from {l: 1, g: 2, a: 3, w: 4, r: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1282 and -984.1.\nAnswer: 297.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 + 0 = 2*i, -i + 5 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124 - 132 - (1*-13 + 0))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 28*f**3 - 710996*f**2 + 1218752*f + 406256 = 0.\nAnswer: -2\/7, 2, 25391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -7*n - 1, 4*j - 5*n - 57 = 0. Suppose -c + j = -1. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/(-10)*(-85)\/(-34). Let l = 24 + o. Suppose 0 = c - 18 - 4. Solve l*j + c = -4*s - 3*j, -2*s = j + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 + (-20 - -23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6.8369+0.06532407\nAnswer: 6.90222407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 83. Let j = x - -124. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.32 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3. Calculate g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 7)*(3 - 3 + 5)*(3 - 3 + 1)*(7 + 2 - 1)*(-4*q - 12 + 12)*(-4*q + q + q) to p*q**2 + o + i*q and give p.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - -42?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3951387 to 3 decimal places.\nAnswer: -0.395","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let j = -1 + 3. Let i = 165 + -114. Let p(f) = 14*f**2 - i*f**j + f - f. Determine p(o(d)).\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/((-528)\/11)*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5108 - 42142 = -164*b - 1411*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -3 (b) -0.06 (c) -1 (d) 2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/29878950 and 64\/27?\nAnswer: 268910550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 1, 20, 57, 118, 209, 336?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48720, 48403, 48086?\n\"Answer: -317*c + 49037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16406424 and 1432.\nAnswer: 16406424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405240 to the power of 1\/2, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -38531, 2, -2 in decreasing order.\nAnswer: 2, -2, -3, -6, -38531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 7780272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651849499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 3*r - 4. Let o be b(-3). Let y be (-2)\/o - (-3)\/(-2). Let q(p) = -9*p**3 + p**2. Give q(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:43 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w = 77*w - 954791. List the prime factors of w.\nAnswer: 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 100 = -0*j. Let y = 7 - j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(4)\/sqrt(18) + 3.\nAnswer: sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185265 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 8.2. Sort -1, -0.1, s in decreasing order.\nAnswer: -0.1, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 10, 1, -5, -2\/3 in descending order.\nAnswer: 10, 1, 1\/3, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 75026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 741, -4 in descending order.\nAnswer: 741, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 69 - 20)*(1 + 5 - 2 + 2*u**3 - 4).\nAnswer: 214*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 111*b + 6. List the prime factors of x(2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 4386349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 6. Let l be c(-4). Suppose -4*q = -5*a - 20, -2*q + 4*a + a + l = 0. Suppose 605 + 0 = q*v. Is v a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o**2 - 4198*o + 16740 = 0. What is o?\nAnswer: 270\/59, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-2 - 4\/(-4)). Suppose 2*o - 2*r - 11 = -5, 31 = -3*o - w*r. Suppose -3*m + 12 - 3 = 0, -2*m = -4*u - 10. What is the closest to u in 3\/5, o, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 5. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -1.054.\nAnswer: -5.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-18)*-3*-24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*y - 4*m - 14, -3*y = 3*m - 3. Suppose 2*d + 4*u + 331 = y*d, -4*u = -4*d + 448. Let j = d - 40. List the prime factors of j.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((1710\/162)\/(-19))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/5)\/(((-144)\/40)\/(-9)). What is the third smallest value in -1\/7, -10, x?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4411 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 4*x**2 - 10. Let v = 6807 - 6805. Determine f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 6*i - 4. Let t be 1 + -2 + -2 + 0. Let p(v) = -v**3 + 2*v**2 + 6*v + 3. What is the smallest common multiple of b(t) and p(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -19*v**2 + 2*v. Let b be f(-2). Let d be b - 0*1\/3. What is d rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59e7 (base 16) to base 5\nAnswer: -1214030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h - 4. Calculate the remainder when w(-7) is divided by (2\/4)\/((-23)\/(-1104)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - t + 447*t**3 + 1 - 456*t**3)*(-38*t - 24*t + 14*t).\nAnswer: 432*t**4 + 48*t**2 + 192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10963\/2 + -9 + (-119)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 16*m - 9. Let w(i) = -i**2 - 8*i + 4. Suppose -11 = -4*h + 13. Let g(y) = h*l(y) + 13*w(y). Let r be g(-6). Solve 6*n = 4*n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 7. Calculate the remainder when 43 is divided by t(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Let q(y) = -y**2 + 21*y + 22. Let b be (6\/1 - 1)*44\/10. Let d be q(b). Solve d = 5*o + 10, -3*o - m*o + 5 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4320202 is divided by 8871.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 13*m**5\/60 - 2334*m**2. Let a(b) = -54*b. Give y(a(z)).\nAnswer: 37908*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 30 = -26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546558.\nAnswer: 2, 3, 71, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12186045 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 - 42*t**2 - 27*t + 382. Let i be l(14). Sort 1, -377, i in descending order.\nAnswer: i, 1, -377","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6780242122.\nAnswer: 2, 59, 1973, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f + 8. Let y(r) = 30*r - 17. Let o(k) = 13*b(k) + 6*y(k). Let l be (-5 - -5) + (-4 - 2) - -1. Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 r when four letters picked without replacement from rbrrbrbbrrbr.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 66, 222, 546, 1098, 1938, 3126?\n\"Answer: 10*g**3 - 6*g**2 - 4*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-14)*(-6)\/(-24). Let s = 8.5 - 9. What is the nearest to j in s, 1, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -806.76 + 820. Let o = 13 - c. Let z = 3.76 - o. Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244697, 489387, 734075, 978761, 1223445, 1468127?\nAnswer: 1712807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:04 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/(-18) - (-2)\/(-9). List the prime factors of (-1)\/2 + (-14)\/o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -0.1392548563.\nAnswer: 0.1392548563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279.06 - 276. Let j = i - 0.06. Which is the second smallest value? (a) -0.5 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfd when three letters picked without replacement from {f: 3, g: 2, d: 7}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - t = 2731, 6*r + t - 2725 = 5*r. What is the greatest common factor of 88 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -975 divided by -39\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 140 = -9*f. Let r be ((-84)\/f)\/(2\/820). What is the tens digit of (-2)\/(-6) - r\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312133 + -212211?\nAnswer: 1033322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 2 = 0. Let i be (5 - 6) + 694*(-6)\/(-33). Let t = -125 + i. What is the second biggest value in -1, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -5551?\nAnswer: -5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 7*b**2 + 13*b - 10. Let o be i(8). Let p = 268 - o. Suppose 2*x = -h + p, -3*h + 6*h = -5*x + 277. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:02 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**3 + 58*d**2 - 210*d - 9. Let y(w) = 6*w**3 + 60*w**2 - 210*w - 6. Let p(q) = 4*i(q) - 6*y(q). Find z such that p(z) = 0.\nAnswer: -35, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14213380, 28426766, 42640152, 56853538, 71066924, 85280310?\nAnswer: 99493696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.1. Let n = j + -0.1. Suppose -k - 6*z = -3*z - 2, -8 = -4*k - 5*z. Which is the nearest to -0.1? (a) -1 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 408?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 27. Let x(z) = 13*z + 9. Let r be x(-3). Let h be i(r). Round h to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7941*v - 142914. Give j(18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 21 = 2. Suppose 3*w - 2*w - 30 = 0. Calculate the remainder when b is divided by 12\/w - 76\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10411350 + -6930250. Round h to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 13*x**2 + 8*x + 7. Let u be q(-5). Suppose 3*h = 4*j + u, 25 = -2*h + 2*j + 137. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8949 and -1\/1099?\nAnswer: 62643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 15*c**2 - 2*c - 3. Let o be 1 + (2 - 5) - 13. Is k(o) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1378903254 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 8*j**2 - 8*j - 5. Let m be y(-7). Suppose -t + 4 = -m. Let d(p) = -p**3 - 5*p**2 - 14. Calculate the smallest common multiple of t and d(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 - 20163350425\nAnswer: -20163350085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9837 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/13)\/t**(2\/19) assuming t is positive.\nAnswer: t**(-102\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -5078\nAnswer: 39\/2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-286*i - 1484 + 1484)*(0*i + 0*i + 2*i**4).\nAnswer: -572*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2496*d**2*n**2 + 9*d**2*n + 15*d**2 - 7*d*n**2 + n**2 + 244*n wrt n.\nAnswer: 4992*d**2 - 14*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 613 and 0.034.\nAnswer: 613.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11130 is divided by 1833?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31318 = -164*l + 157*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h = -84 + 146 + 118. Let o(z) be the first derivative of 0*z**3 + 0*z + 19 - 7\/5*z**5 - 10*z**2 + 0*z**h. Find the second derivative of o(j) wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1943294 is divided by 866?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/75 in -1, -10, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*x - 5 = 0, 9*x - 4*x = -3*w + 40. Let h(n) = -8*n**2 - n + 1. Let l be h(2). List the prime factors of -2*w\/(10\/l).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 + 2*w**2 + 4*w + 8. Let s(z) = 2*z**3 - 3*z**2 - 4*z - 9. Let n(a) = 3*f(a) + 4*s(a). Does 12 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110221001101 (base 3) in base 8?\nAnswer: 760772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {c: 2, j: 2, f: 1, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:33 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000284 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 + 1\/(-2)*-6. Let w(b) be the second derivative of -1\/6*b**4 + 0*b**2 - 1\/2*b**t + 0 - 3*b. Find the second derivative of w(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.3 (b) -2865002\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 17*d. Let u = -952 + 957. Solve r + d = u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 25*y + 47. Let x be d(2). Solve -3*r + 4*k + 9 = 7, 5*r - 5 = x*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 4*w**2 + 2950*w - 7*w**2 - 5905*w + 2953*w.\nAnswer: -8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235990454.\nAnswer: 2, 7, 229, 73609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/25 - (-70915)\/(-68250) - (-2)\/(-12). Which is the nearest to h? (a) 6 (b) 3\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/28 and 3\/31945436.\nAnswer: 223618052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110111200112 (base 3) to base 13.\nAnswer: 7a869a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 212083?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqmqlqmmffqq. What is prob of picking 1 f, 1 q, 1 m, and 1 l?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 10115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3481396383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2724875 = 2724875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/915 and -11\/43911.\nAnswer: 13392855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.0998655 + -5.1. What is a rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*h = -125, 210 = 5*f + 2*h + 59. Suppose 3*l - 5*a = f, -a + 6 = 3*l + 1. Suppose -l*b + 1 = -23. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -a1?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10 and (-3)\/(-18) + (-2848)\/7020 + (-6)\/(-15).\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21244150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*q**4 + 10*q**4 + 10*q**4)*(84 + 169 + 719 + 27) in the form p*q**3 + x + z*q**4 + h*q**2 + f*q and give z.\nAnswer: 6993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(88\/(-96)) - -61099988. What is o rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 + -8 + 4 + -8 + -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjdjjidddd. Give prob of sequence ddji.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -6. Let n be (-2)\/(-4) - (-105)\/42. Suppose 0*k = y + n*k - 50, 2*k = 3*y - 128. Calculate the greatest common divisor of d and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.092 + -0.092. What is the fourth smallest value in l, -2, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498500329?\nAnswer: 498500329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 4 + (-6 - 2) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 - 172708*r + 3728506658 = 0 for r.\nAnswer: 43177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 75, 119, 171, 237?\n\"Answer: r**3 - 5*r**2 + 50*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 511 + 65*s**2 - 166*s**2 + 104*s**2 to d*s**2 + x*s + v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1249, -1, 3, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, -1, -3, -1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 266*m**2 - 7*m + 244. Is r(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -20, -3*w = -d - 4*w + 5. Calculate the smallest common multiple of 47 and d.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 48. What is the remainder when 41 is divided by s\/12*(-99)\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:10 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 2. Let p = 4601 + -4595. Let r(o) = -4*o - 2. Give p*r(t) + 7*w(t).\nAnswer: 11*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (23 - 1 - (79 - 66))) + 101\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:39 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**3 - 69*x**3 + 24*x**3 + 20*x**3 + 132*x**2 - 132*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37800000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7460427 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5250 = -3*z - 2*z. Round z to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/20 + h**4\/8 - 7*h**3\/6 + 9*h**2. Is v(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {u: 2, h: 1, j: 1, t: 1, q: 1, l: 9}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6639*w**5 + 29435*w**2.\nAnswer: -398340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 713544 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 6*h**2 + 8*h - 5. Let j be m(5). What are the prime factors of j - (1 + (-1 - 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1377 + -1383. Let a(c) = 8*c**3 + 37 - 18 - 13 + 3*c. Let m be 2\/(-9) - (-65)\/9. Let g(i) = 9*i**3 + 3*i + 7. What is b*g(s) + m*a(s)?\nAnswer: 2*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (10 + -21)) + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l**3 + 24814*l - 24814*l.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 117 + 45. Calculate the greatest common factor of d and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u**3 - 1083 + 32*u**3 + 1083 - 66*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d + 8*d = 167*d - 3682 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6907 is divided by 1681.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/7)\/((-6*(-1)\/504)\/((-6)\/(-8)))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 - 3*p**5 - p**5)*(6 - 4 - 1)*(-1 + 2 + 0).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-one quarters of a kilogram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/8? (a) 2\/69 (b) 149 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.265 less than -5863?\nAnswer: -5862.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -8, -14, -22, -32, -44?\n\"Answer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**3*w**6 + 131011*b**3*w**3 - b**3*w**2 - 63*b**3*w - 2*b**2*w**2 - 13*b*w**2 - 22*w wrt w.\nAnswer: -840*b**3*w**3 + 786066*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16 + 16 - 4*x**2 - 4*x**2. Let f(y) = 3*y**2. Give f(c(j)).\nAnswer: 192*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 177 - 357 - 2*g - 32*g**2 + 179 in the form h*g**2 + d*g + w*g**3 + j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19928028 to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*s**2*z - 268*j**2*s*z + 5*j**2*z**2 - 73*j*s**2*z**2 - j*s**2 + 13*j*z wrt j?\nAnswer: 4*s**2*z - 536*s*z + 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -433, -4\/7 in descending order.\nAnswer: 2, -4\/7, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4003 = 2*d + 3999. Solve 0 = 4*i + o + 13, 7*o - 3*o - 4 = -d*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 14. Let b(s) = 9*s + 71. Let n be b(-9). Let f be a(n). Put f, -4\/9, 0.3, -1\/4 in increasing order.\nAnswer: f, -4\/9, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.021 + 0.082. Let q = -4.939 - a. Sort 3\/2, q, -1\/4, 5.\nAnswer: q, -1\/4, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + r + 9 + r. Let b be y(11). What is the units digit of (36\/b)\/(3\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1324, -1341, -1384, -1465, -1596?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/5, -0.1, -113, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.047 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2\/6*-17 + (15 - 6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*u + (-3 + 4 - 3)*(400*u + 9*u - 101*u) + (-4 + 3 + 2)*(-6 + 3 + 2*u + 1).\nAnswer: -612*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 69*m. Let q(o) = 6*o**2. Calculate j(q(b)).\nAnswer: 414*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130479 and 127673.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.992836 rounded to 1 dp?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -406 - -2832. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10669.0539 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9399*x**5 - 128*x - 5 wrt x.\nAnswer: 187980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3463 - 2556. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -20 - (-11 + (-23 - -30))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 9.\nAnswer: -64\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -17*f**3 - 4*f**2 + 2*f - 41. Let k(y) = 17*y**3 + 6*y**2 - 3*y + 42. Calculate -2*k(c) - 3*m(c).\nAnswer: 17*c**3 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2696, 2\/9 in ascending order.\nAnswer: -2696, -5, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1696*h**3 + 1337*h**3 - 3107*h**3.\nAnswer: -74*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose 0 = b*a - 5*w - 4 - 6, -2*w - 2 = -4*a. Let j(g) = -4599*g**2 + 2*g + 1. Let p be j(a). Round p to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 183 = 5*m + 5*s, -s = -2*m + 82. Let k be 4*(-3)\/(-12) + 1. Suppose 22 - 126 = -k*j. What is the highest common divisor of j and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 - 2*n + 3. Give g(-4).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -851.92 + 852. What is the fourth biggest value in 5, 0.09, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 18.8. Which is the second biggest value? (a) -0.3 (b) -2\/15 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(425) + 3 + -5*(2 + sqrt(425)) + 5)**2.\nAnswer: 40*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 5*x - 2. Calculate g(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 i when four letters picked without replacement from {i: 4, m: 14}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 529*u**2 - 410?\nAnswer: 1058*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 611 or -817?\nAnswer: -817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 964958959 to the power of 1\/2, to the nearest integer?\nAnswer: 31064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 20) + (-155 - -180) + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*w - 4428, -3*a - 1704 + 5025 = -w. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 12, 3*t + 5*j + 7 = 43 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 636615*p - 509922 wrt p?\nAnswer: 636615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 at least as big as 6361.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)*p\/p**(3\/4) assuming p is positive.\nAnswer: p**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049284611 to 4 dps.\nAnswer: -0.0493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.104797 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 121*l + 4. Give n(1).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*k*m*r**2 - 2*i*k*r**2 + i*k + 2*k*m*r**2 - 5*k*m*r + 52*m*r wrt i?\nAnswer: -k*m*r**2 - 2*k*r**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 62. Let r = i + -23. Put 2, r, 0 in decreasing order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86a (base 14) to base 16.\nAnswer: -67e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 divided by 1596?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41560 + -20115049\/484. Find the common denominator of 65\/8 and h.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 82*i - 12. What is m(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 329\/35 + -9 - (-6)\/10. Let l = -36 + 36.029. Let t = l - 0.129. Which is the nearest to x? (a) 0 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244626063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 1\/5 (c) 5 (d) -0.2 (e) 21.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 40 = 5*s, 8*s - 2*k = 6*s. Put -2, 4, s in descending order.\nAnswer: s, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b + 88. Let t be a(14). Solve 0 = -j - f, -5*j + t = -3*j + 4*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i\/i**3)\/i))\/(i*i\/(i**11\/i))*i**(-1\/8)*i*(i**(-13)*i*i)\/i)**(9\/11))**(1\/8) assuming i is positive.\nAnswer: i**(135\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + (7 - 12))*2\/(-4). What is the third smallest value in 1\/7, -0.4, 2\/3, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4332e (base 15) to base 5\nAnswer: 23311334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let u(i) = -i - 6. Let s(m) = -u(m) + 5*z(m). Let o(d) = 5*d + 4. Let h(f) = o(f) - 6*s(f). Differentiate h(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**(-2\/5)\/c)\/c*(c\/c**3)\/c*c*c**(-2\/61)\/c**(-1\/13) assuming c is positive.\nAnswer: c**(-13306\/3965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39a + 1bc4?\nAnswer: 206e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0361 + -0.3639. What is the closest to 0.3 in z, 0, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(13))*-5)**2 + 3.\nAnswer: 200*sqrt(13) + 1403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13961*a + 5947383. Determine k(-426).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/4229148 and 11\/13840848.\nAnswer: 152249328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/213294 and 137\/492?\nAnswer: 17490108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 684390443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 4, -2, 196, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022110 + 102000102?\nAnswer: 100200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/136)\/((-11)\/((-13695)\/15))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*h**3 + 1812*h**2 - 17116*h - 4392.\nAnswer: 4*(h - 9)*(h + 122)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4 + 2*k - 2 + 6. Let s(m) = -m**2 - m - 1. Let u(g) = 12*g**2 + 18*g + 18. Let f(v) = 18*s(v) + u(v). What is f(c(x))?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-2)\/(-6))\/(-1). Let a = -2 - b. Let h be 16 - (a - (0 + 0)). Calculate the greatest common factor of h and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 10*h = -196. Let r be (-4)\/7*h\/56. Solve z = i + r*z, 4*i + z = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from gyyyygyglyg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.562719282 to 4 dps.\nAnswer: 1.5627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115620 rounded to the nearest one thousand?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13936501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)*k**(-2\/7))**(13\/5) assuming k is positive.\nAnswer: k**(-377\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -0.6175586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 - 0.24. Let a = -0.12 - i. Which is bigger: a or -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-252)\/27 + 9)*-2. Let k = -1922\/15 + 128. What is the closest to 0 in -1\/3, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224402 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbmo when four letters picked without replacement from {o: 4, b: 1, m: 1, n: 4, k: 1, c: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11002 (base 5) to base 4\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = 3*x - 9*y - 21039, 0 = -5*x - 4*y + 35057. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/12 - g**3\/2 + 27*g**2\/2 + g - 25. Let q be i(4). Is q equal to 7\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23961552 and 1062?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3133 * 0.05.\nAnswer: 0.015665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 47 + -45 + -56.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 5 (b) -0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 6*h**2 - 2*h**2 + 2*h**3)*(-h - 4*h + 4*h).\nAnswer: 2*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 + 317. Suppose -18*p = r*p - 23. Solve 0 = -3*g - 5*f - 31, g = -2*g + f - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/99 or -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.4. Suppose 0 = z + 120 - 28. Let l = -547\/6 - z. Which is the smallest value? (a) l (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02756117 rounded to 4 dps?\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/47339 - 51227\/184054032. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32*14\/168)\/((-600)\/150*2\/(-402))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11507*q + 287680. Give w(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*x - x - 2*x - x as s + d*x and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2443497 divided by -23.\nAnswer: -106239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*q + 75, 15 = -4*z + q - 80. Let i = z - -26. Solve -3 = 2*p + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/13, -1.1, 45, 1\/10, -0.46?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 3*g**2 + g. Let x be i(-2). Suppose -x*r = -5*b + 593, 5*r = -11*b + 7*b + 448. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/160 and 101\/27940?\nAnswer: 223520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3011, 6010, 9005, 11996, 14983, 17966?\nAnswer: 20945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39394 is divided by 13066.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25236*l**5 - 6*l**2 + 963?\nAnswer: -1514160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*((-2970)\/126 + 21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15)\/((-3)\/15). Let i be 2 - (1 + 1) - f. Which is greater: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -79*h + 375*h + 4 + 140*h. What is the hundreds digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1106836746 - -0.4.\nAnswer: 1106836746.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(209)*-2)\/(sqrt(1331) - -2*sqrt(1331)) + 3.\nAnswer: -4*sqrt(19)\/33 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1452 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**4\/4 + 19*u**3\/3 + 21*u**2\/2 - 27. Let t be (2 - 2) + (17 - -3). What are the prime factors of f(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -201039, 5, -0.1 in decreasing order.\nAnswer: 5, -0.1, -201039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/2 - 21*s**2 - 2*s - 2. What is the remainder when 50 is divided by a(23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102)\/(sqrt(60)\/(sqrt(100)\/sqrt(10)))*-2 - (-1 + (sqrt(17) - sqrt(425)) + -2 + sqrt(34)\/sqrt(2))*-6))**2.\nAnswer: 720*sqrt(17) + 7124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8161*i**4 - 75*i - 1532996 wrt i?\nAnswer: -32644*i**3 - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q - 79. Calculate i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 561, 559, 557?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -1\/3*k**3 + 0*k - 3\/2*k**2 - 1. Find the second derivative of p(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-400437*w - 3859 + 400439*w - 7844)*(0 + 2 - 3).\nAnswer: -2*w + 11703","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 1, n: 4, c: 1, v: 1}. Give prob of sequence jv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1978*j**2 - 4*j - 8. Let s be a(-2). Let i = s + 3973. What is the units digit of 2\/5 - i\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -81. Sort 2, 1, u in descending order.\nAnswer: u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -2141615?\nAnswer: 2141616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.087 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -222023022 (base 5) to base 16\nAnswer: -ece93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqbq when four letters picked without replacement from {e: 2, j: 2, b: 3, q: 8}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2829, 5930, 8967, 11934, 14825, 17634?\nAnswer: 20355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 - -113. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555f2 (base 16) to base 14.\nAnswer: 91614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/15 + (-3)\/15. Suppose h + 4*h = -y + 17, h = 5*y - c. Suppose -2*v + 44 = 2*v. Calculate the least common multiple of v and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/5425 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/4 + a**4\/3 - 2*a**2 + 5*a. Let b(o) = 11*o**3 - 9*o**2 + 9. Determine 4*b(i) + 9*m(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36162 and 641214?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f**3 + 5446*f**2 - 5141*f - 390 = 0.\nAnswer: -65, -6\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:25 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126145860 and 780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/123?\nAnswer: 10\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 898 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.639, -945.5, 0.2 in descending order.\nAnswer: 3, 0.2, -0.639, -945.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 32*y + 81. Calculate the remainder when m(-34) is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1298 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 26, 1, -30600?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.443819 micrometers to centimeters.\nAnswer: 0.0005443819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 5*q**6\/18 - 32*q**5\/15 - 103*q**4\/12 + 706*q**3\/9 - 482*q**2\/3 + 280*q\/3 - 3196. Suppose u(f) = 0. Calculate f.\nAnswer: -5, 2\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:28 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by 1?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1268 = 2*c - 2*z, 0 = 5*z + 20. What is the units digit of c\/(-8) - 1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 2*q**2 - 1. Let n(x) = x**2 - 4*x - 34. Let d be n(8). Give k(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6211, 25867, 45523, 65179?\n\"Answer: 19656*g - 13445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y + 3. Suppose -2*t = 4*m - 14, -t + 3 = -0*t - 2*m. Suppose -3*b = a + 16, 2*a + 3*a = -t*b - 30. Let c = a - -4. What is r(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914.7863l to millilitres.\nAnswer: 914786.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25, -6, 4, 3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2355783*s**2 - 8*s + 1062420 wrt s.\nAnswer: -4711566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -6, 9 in ascending order.\nAnswer: -6, 1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5340 - 13852*l**4 + 9485 + 4788 wrt l.\nAnswer: -55408*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18\/67 - -1286\/201. Find the common denominator of -17 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -59\/36 and -56\/463 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = -2*a, -5*a + 3 = 3*s - 20. Suppose -o + a*o + t - 15 = 0, 3*o - 4*t = 0. Solve 0*p = p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-three quarters of a tonne?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1603512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 12, 834472, -4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60320 by 24.\nAnswer: -7540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/7 + 422*c**2\/7 - 22048*c\/7 - 22472\/7 = 0.\nAnswer: -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247*a - 10155 + 6422 - 11937 - 6313 for a.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 556, 551, 546, 541, 536?\n\"Answer: -5*s + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404673130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20202202 + 2?\nAnswer: -20202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 3, f: 3}. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2592) + (sqrt(2592) + -1 + sqrt(2592))**2)*-3 + (sqrt(1024) + -1*sqrt(1024) + sqrt(1024))\/(sqrt(40)\/sqrt(45)) + 1.\nAnswer: -31100 + 348*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2218789 + -2218742.00164. Let f = 47 - i. What is f rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 6. Give t(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1082153 - -64.548\nAnswer: -1082088.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110000110 (base 2) to base 16\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43116473 or -43116453?\nAnswer: -43116453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404975, -404984, -404993, -405002, -405011, -405020?\nAnswer: -405029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181179191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1386 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7601567 (base 8) to base 5\nAnswer: -1010020003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 48 = -3*u, -45*r + 63 = 3*u - 49*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110010001010 (base 2) in base 8?\nAnswer: 56212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 + 869*l - 22. Let s be i(-143). Calculate the highest common factor of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.02 in 1\/5, -0.31, 0.5, -0.07?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccciccicc. What is prob of picking 2 c?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((5 - 6 - -1)\/2)\/3. Solve v = -4*a + 4*o - 4, 0*a - 4*o = 3*a + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23339 or 27653?\nAnswer: 23339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((-8)\/(-92) + 219\/(-138)). Let w = -0.3 - -0.31. What is the closest to 0.3 in w, z, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -318*l**2 + 2051*l - 3285. Determine q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*g - 4 + 4 + 1665*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/12212?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(6 + 280\/(-48)). Which is the third biggest value? (a) 0.078 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-40))\/(8\/(-260)) + (-4)\/(-16). Suppose -3*c + b = -0 - 7, -3*b = -2*c. Sort -5, c, a, 5 in increasing order.\nAnswer: -5, a, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19865405 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + x)*(-2 + 1 - 1)*(-1 - 1 - 3).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + (-2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 494*x**4\/5 + 1486*x**3\/5 + 1494*x**2\/5 + 506*x\/5 + 4\/5 = 0?\nAnswer: -1, -2\/247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 354808 divided by -62\nAnswer: -177404\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g - 33 = -279 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62429 is divided by 289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*u - 45 - 36 + 81)*(0*u**2 + u**2 + u**2).\nAnswer: -216*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j**2 + 42*j - 6*j**2 - 95*j + 60*j - 175*j**2.\nAnswer: -146*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1823135.69*-6.\nAnswer: -10938814.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from {l: 5, k: 1, g: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - (-12 + (27 - 17))) - -24\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n**3 - 109*n**2 + 6*n + 16. Let b(q) = -3*q**3 + 22*q**2 - q - 3. Give -11*b(r) - 2*o(r).\nAnswer: 5*r**3 - 24*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -23*h**2 - 2*h + 10. Let r(i) = 3*i**2 - 2. Calculate d(g) + 5*r(g).\nAnswer: -8*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/552 and -50\/1173.\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11955526 <= -11955526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 3*k - 16 + 2*k - k**2 - 4*k + 14. Let c(i) = 3*i - 1. Let o = -10 - -7. What is o*c(j) - 5*x(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -291950 greater than -291949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 5*v**2 + 4*v**2 + (-v**2 - 3 + 3)*(0 - 1 + 0) + v + 8*v - 3*v**2 - 3*v)*(-4*v - 2*v + 0*v).\nAnswer: 30*v**3 - 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0.289, 4 in increasing order.\nAnswer: -3\/5, 0.289, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*i = -17 + 16, -5*i + 21 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -65*t**2 + 4560*t - 700 = 0.\nAnswer: 2\/13, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 - i + i - 2 + 2*i + 28 - i**3. Let k be n(-11). Which is the closest to -1? (a) -0.1 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*l + 51 - 9, -5*l = -i + 14. Let j = i + -24. Let n = 23 - j. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3*d**2\/2 + 5*d + 13. Let v(f) = f - 2. Determine -4*n(t) - 11*v(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177642 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 24 = 8*y. Suppose m = y*m - 672. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 11 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -71, -100, -133, -170?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 89*s**2 + 272*s + 5. Let g be x(-3). Which is the nearest to 3\/31? (a) -5 (b) -2\/7 (c) 3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/60)\/(26\/(-102)) - (5 + -9 - -1)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let y(m) = m**2 - m + 3. Let l(j) = -j**3 + 7*j**2 + 8*j + 4. Let f be l(8). Let d be y(f). Solve i*r + 3*r - d = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(500)*2)**2*1 - (sqrt(10) + sqrt(30)\/sqrt(3)*-3)\/(-2*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(5) + 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(7) + -1 + 4 + sqrt(7) + (-1 + sqrt(567) - sqrt(567)))**2.\nAnswer: 24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let b be 2 - (o\/(-1) - 0). Let z be b - 3\/3 - -2. Solve 0 = -5*x - 3*h - 6, 4*h = 3*x + 26 - z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*-3*-5*(sqrt(108) + -1)*1*5)**2 + 5.\nAnswer: -67500*sqrt(3) + 613131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0*b**3 + 3*b**2 + b**2 - 8*b - 5 + b**3. List the prime factors of k(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/9*90552\/9856?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**4 + 77*h**2 + 201*h - 224978?\nAnswer: -12*h**3 + 154*h + 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - g - 11 - 4*g - g. Calculate i(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 142.11. Let y = 24.82 - s. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/((36\/(-24))\/((-3)\/(-4))). Suppose 6577 = h*o + 4*r + 301, 2*o - 4*r = 2488. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 27 + 2*i - 96 + 28 + 5*i.\nAnswer: 8*i - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 100. Solve 2*w + q = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g**3 + 5*g**2 - g + 2. Let b be d(-3). Suppose -4*z = j - b, 3*j = 4*z - 329 + 24. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*u - 28 = -3, 2*n - 4 = -4*u. Let t(r) = -1. Let j(l) = 21*l + 11. Let v(m) = j(m) + 6*t(m). What is the remainder when v(n) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-315)\/185)\/((-4)\/(-16)). Let z = 4393\/444 + o. Let l = 7741\/150 + -836\/25. What is the common denominator of z and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/9 and -85\/16782?\nAnswer: 50346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/35 (c) -109 (d) 94 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 40*d**2 - 20*d + 11*d)*(-d - 1 + 1 + 2*d - 3*d + 2*d + (1 - 1 + 2)*(-2*d - d + 5*d) + 6*d - d - 2*d).\nAnswer: 280*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 16, -137, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-16)*l)\/l*l)\/((l*l\/(l*(l\/(l**21*l))\/l)*l)\/l*l) assuming l is positive.\nAnswer: l**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434183 + 434204 + 14407*q**2 - 14405*q**2.\nAnswer: 2*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519324957 to the power of 1\/3, to the nearest integer?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20092513*1.\nAnswer: -20092513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 + 2. Suppose -3*v - 2*v = 30. Let c be d(v). Let p be -12*(c - (-15)\/(-6)). Solve -x = -3*x - p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 1390*b**2\/9 - 2774*b\/9 - 154.\nAnswer: -2*(b + 1)**2*(b + 693)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/38 and 119\/61652910.\nAnswer: 61652910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 1. Suppose -10*p - 4*p + 42 = 0. Let l be k(p). Solve -l*c - 14 = -c + 2*b, -5*c + 3*b = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:26 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozlfbfxzfbzffofofb. Give prob of picking 2 o and 1 f.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1848*x + 900*x + 13280 = -616*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29591 - 23513. Is 70 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - (-70)\/15. Let p = 4 - 1. Suppose m + 5 = p*q. Solve -4*g + q = -17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - (-3)\/(7\/(-21) + 10\/15). Let w = -39576\/35711 - -74\/67. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p*p**(-2\/115))))*p*p)\/p**(2\/27))\/((p*((p\/p**(1\/8)*p)\/p)\/p)\/p*p*p**(12\/5)) assuming p is positive.\nAnswer: p**(-33079\/24840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67920088 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -cd4?\nAnswer: -cd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10465847, 10465849, 10465851, 10465853?\n\"Answer: 2*g + 10465845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*c**3 - 101*c**3 + 144*c**3.\nAnswer: -217*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-17344)\/(-24))\/((-8)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.22. Let i = g + 0.02. Let u = -0.61 + 0.51. Which is the closest to u? (a) -1\/2 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 minus 7?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*i**3 - 76*i**2 - 492.\nAnswer: 30*i**2 - 152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 - 5*n**2 + 86)*(-5*n + 2*n - 228*n)*(n**2 + 3 - 3).\nAnswer: 1155*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. What is the first derivative of -1 + 5*y**z - 2 - 6*y**4 wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-154.1\nAnswer: -308.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from olphllplloevp?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 + -437007913?\nAnswer: -437007911.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4678 - 4360.7. Let g = 317 - i. Put -2\/31, g, 0 in decreasing order.\nAnswer: 0, -2\/31, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127724 is divided by 747?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/48 and -17\/88.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3220261*c**3*g**3*x**2 + 3*c**3*g**2*x**2 - 3760*c**3*x**2 - c*g**2*x**2 wrt g?\nAnswer: 19321566*c**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 52070539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132300 and 55800?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - -200. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 + 6*g - 7. Let y be n(-7). Suppose y = -m + 3*m - 4. Suppose -2*r + m = -2. Calculate the remainder when 3 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6381*x - 8. Let k(j) = -2*j. Determine k(s(y)).\nAnswer: 12762*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1861265035 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(4\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2 - 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*a**5*i + 127*a**2*i + 2*a*i - 67*i - 1327 wrt a.\nAnswer: 3980*a**3*i + 254*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00972739 to 4 decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 14) in base 8?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -2*p - 10, 5 = -p. Which is bigger: -1\/45 or m?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y + 72 = -38*y + 109*y. Suppose -11 = -4*i + 1. Suppose i*m = 2*m + 3. Solve 0 = m*n, -12 = 3*r - 7*r - y*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2069976)\/15 - 2 - 8\/(-20). What is k rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -7*n**5\/10 - n**4\/6 - n**3\/6 + 4*n. Calculate y(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-19)*p**(-12\/7))\/(p\/p**(-2\/11))**48 assuming p is positive.\nAnswer: p**(-2960\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + u + 6, 3*t + 5*u + 4 = 2*t. Suppose o + t = 2. Solve 0 = -2*z + z + 2*f + o, z + 5*f - 8 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 13*z - 1 = -4*b, 0 = b - z - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)\/x*x*x\/(x**(1\/5)\/x*x)*(x*(x\/(x\/(x*x**8*x)))\/x*x*x)**(12\/11))**(-41\/2) assuming x is positive.\nAnswer: x**(-2009\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/120 + b**5\/10 - b**4\/4 + 2*b**3\/3 + 2*b**2 - 111*b. Calculate q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1407\/9 + (-9)\/27. Suppose -17*j + 11*j = -x. Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y**3 - 10939*y**2 + 5045*y - 23 wrt y.\nAnswer: -36*y - 21878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 0 + 2*c**3 + 8\/9*c**4 + 4\/9*c**2.\nAnswer: 2*c**2*(c + 2)*(4*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 66 - ((-1 - 20) + -436 + 458).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 145a26 + 18?\nAnswer: 145a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:21 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 + h**3\/6 - h**2 + 2*h. Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10 + 12*m**3 + 0*m + 16*m + 2*m**3 - 33*m**3 + 18*m**3 - 14*m**2. What is a(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17898 and 35124.\nAnswer: 104774892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16 - 9*b + 14 - 29*b - 82*b. Is l(-4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25013 - 6?\nAnswer: 25006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3907*z**3 + z**2 + 8*z. Let v be s(4). What is v rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -754*v**2 + 49 - 2*v**3 + v + 754*v**2 as c*v + b + g*v**3 + i*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9624 and 6340056.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2534208.\nAnswer: 2, 3, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*c + 4*k, -3*c + 0*c + 2*k = 29. Let d = c + 15. Solve d*q = 4*x + 28, 7*q - 22 = x + 3*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113 a factor of 2001325433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 6669\nAnswer: 7\/2223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 207028. Let f = 134028 + h. Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 55 = -0*m - 4*w, 2*m - 10 = -4*w. Let q(j) = 12*j**2 - 7*j + 1. Let o be q(4). Calculate the highest common divisor of o and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 3*s - s as h + d*s and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 202 times 3\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083413?\nAnswer: 31, 157, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20741 + 41222. Let p = -14047 + q. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-35))\/(47\/236880*60)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00143177 rounded to 6 dps?\nAnswer: -0.001432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 37*u + 3. Let x(n) = -12*n - 258*n + 251*n - 2. Calculate 4*b(v) + 7*x(v).\nAnswer: 15*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide -8 + -1 - (-843 - (-252)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 3. Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2448 and 2422643616?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m**2. Let y(l) be the second derivative of -89*l**3 + 57*l - 1. What is y(c(t))?\nAnswer: 5874*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -35*d. Let s be a(-12). Suppose 4*h + 6*h = s. Calculate the remainder when 167 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 - -594. Let i = j - 187. Suppose 4*m = m + i. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/114)\/(12\/(-9) - -1 - (-3185)\/9408)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 95?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(26)\/sqrt(2) + -3.\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 476 + 100 = 0. What is the remainder when 2\/3 + b\/(-6) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - 54\/12)\/(1\/(-256)) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*d**2 + 44*d**2 - 151*d**2 - 7*d to c*d**2 + n + a*d and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.88 - -1.12. Let l = 5 + 3. Sort l, b, 1.\nAnswer: 1, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1237, -2, -12, 3, -1, 0.\nAnswer: -1237, -12, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - v - 3*v - 22*v - 458 + 458 + (-4*v + 2*v + v)*(-2 + 2 + 2) - v + 2*v + 2*v to h*v + n and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**3 - 1609573*n**2 + 77912*n + 894.\nAnswer: 36*n - 3219146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 - 33*k**3 - 9*k**2 + 105*k - 66 = 0.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 629\/10 - 627\/10. Which is the third smallest value? (a) q (b) 2\/57 (c) -6\/11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 6*m + 5*m = 19, -m + 10 = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e5 + -8?\nAnswer: -9ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*(3 + 2 + sqrt(325) + sqrt(325)) - (-1 + (1*sqrt(325) - sqrt(325)))*6) + -2)**2.\nAnswer: 660*sqrt(13) + 11817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 7, e: 3, x: 3, p: 5}. Give prob of picking 1 p, 1 h, 1 x, and 1 e.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -436*t + 441*t + 14 + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*q**4 + 11*q**3 + 325*q**2 - 617605*q wrt q.\nAnswer: 312*q**2 + 66*q + 650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (56*39\/(-273))\/((-7)\/63*1)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 44271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122324119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from kmucsvc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.68 - -0.32. What is the closest to s in 3, 2, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 - -6 - ((-31 - -9) + 32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 144, 309, 530, 801, 1116, 1469, 1854?\n\"Answer: -z**3 + 37*z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 585595.7 litres?\nAnswer: 585595700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -131, -132, -133?\n\"Answer: -q - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-24)\/(-9))*1*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 1. Let d(f) = 3*f**2 + 11*f - 5. Let u(h) = -d(h) + 4*z(h). Give u(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/5)*n*n))\/(n*(n\/(n\/n**(3\/5)*n))\/n)*(n**(-1\/7))**(-21) assuming n is positive.\nAnswer: n**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s + 30. Let y be f(-6). Let z be 2\/(-6) - 10\/y. Solve -4*t = -2*n + 4, -t + z*n = -5*n + 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17320821.45 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 10) in base 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.116031ms?\nAnswer: 0.00000193385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s - 93. Let c be l(-11). Suppose -4*o = c*o - 320. What is the highest common divisor of o and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 5, e: 6}. What is prob of sequence eie?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 2*p**2 - 11*p - 17*p**2 + 0*p**3 - 6*p + 20. Let f be y(16). Solve -3*k + 1 = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270*a*b**5 - 37*a*b**3 - 141*a*b + 3*b - 6 wrt b.\nAnswer: 5400*a*b**3 - 222*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 130\/(-15) - (-25 + 17). What is the closest to 0 in -2, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-12)*4\/5. Suppose 0 = z*g - 6 - 0. What is the derivative of 6 - 10*h**g - 2*h**3 + 3 - 2*h**3 wrt h?\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661733.\nAnswer: 23, 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 20, 19, 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1860 - -1924. Let x = -79 + 114. Let u = x - 19. What is the greatest common factor of n and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1188 + 1190. Let y = -12 + 8. Let z = 3 - 3.2. Which is the nearest to 1? (a) y (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 18*m**2 - 7*m + m**3.\nAnswer: m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(14)\/sqrt(2)*-1 - ((sqrt(63))**2 + -4 + (sqrt(21)\/(sqrt(3) + sqrt(9)\/sqrt(3)))**2)) + 0.\nAnswer: -239\/4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Does 16 divide (t - -20) + 0 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.65+0.08\nAnswer: -1.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 8) to base 12\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 2226?\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 3*z - z - 29*z**2 to k*z**2 + m + x*z and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, 9, 23, 43, 69, 101?\n\"Answer: 3*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*u + 83*u + 5*m + 9 = 0, -3*m = 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c + c + c - 8*c. Let n(l) be the first derivative of -13*l**6\/60 + 3*l**3 - l**2\/2 - 37. Let d(p) be the third derivative of n(p). Give v(d(a)).\nAnswer: -78*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 35*g**3 - 29*g**2 + g. Let m(l) = -17*l**3 + 15*l**2 - l. Let j(p) = -7*m(p) - 3*r(p). Let j(y) = 0. What is y?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {q: 2, z: 3, p: 1, h: 2, j: 9, o: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 1 - 7 + 0 - 2. Let y be m(-7). Suppose y = -4*j + 84. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 393, 941, 1711, 2703?\n\"Answer: 111*i**2 - 7*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. Sort 0, 1, t in descending order.\nAnswer: 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 150, 325, 522, 741?\n\"Answer: 11*x**2 + 142*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10535 - -10535.00000618. What is m rounded to 7 decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -41.7 (b) -1\/8 (c) 11\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -1\/4, 1, -2\/9, 2.1 in decreasing order.\nAnswer: 2.1, 1, -2\/9, -1\/4, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**11\/r)**(-30)\/(r*r**(-7)*r*r\/r**(2\/7)*r*r)**(12\/7) assuming r is positive.\nAnswer: r**(-13038\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 6*p + 9. Let x be a(7). Let t(d) = -2*d**x + d**3 + 6*d + 0*d**2 - 5*d. Let k be t(2). Let m(j) = -3*j + 1. Determine m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -114, -179, -248, -321, -398, -479?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 462923745\/4 or 115730935?\nAnswer: 115730935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 1 - 1 + x**2 - 2*x. Let u(y) = y - 7. Let a be u(5). Determine r(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t. Let k be c(-3). What is the greatest common factor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105786 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -129, -130, -131, -132?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 870*o**3 - 869*o**3 + 1006 + 51 + (-4*o + 2*o**2 + 4*o)*(-4*o + 6*o - o).\nAnswer: 3*o**3 + 1057","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.264 + -118.264. Let v = -12 - m. Let t = -105.915 + v. Round t to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -135*x + 40. Let f be n(2). Let j = f - -486. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {h: 5, l: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**2 + 11*c**2 + 2*c + 10 - 21*c**2. Let r be w(5). Does 4 divide ((-4)\/r)\/(1328\/220 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-4))\/((-2)\/8). Suppose 168 = 32*b - 40*b. List the prime factors of b\/(-5 + 2) - h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/((-14)\/7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -53*r + 533. Let o be n(13). Let g be (0 + -1)*(-281 - 0). Let b = g + o. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 4*x + 4*x + (-4 + 4 - 2*x)*(-x + x + 2*x) to p*x + z*x**2 + v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11920 + -909. Let u = -461881\/36 - g. Let y = u + 5\/4. Which is the closest to 0? (a) -4 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-10)*(15 - 0). Calculate the smallest common multiple of 22 and 4\/18 + 318\/z + 2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142, 618, 1932, 4510, 8778?\n\"Answer: 71*b**3 - 7*b**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/7 + 510*a**4\/7 + 898*a**3 - 1534*a**2\/7 - 19896*a\/7 - 12584\/7 = 0. Calculate a.\nAnswer: -242, -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 948688703 rounded to the nearest 100000?\nAnswer: 948700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.194 rounded to 1 decimal place?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(343) + 1)*2 - (sqrt(343)*-2 + 2)) + 1))**2.\nAnswer: 224*sqrt(7) + 21956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 312377 - 21203. What are the prime factors of a?\nAnswer: 2, 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 109\/2 - (-6)\/4. Let z(j) = -j**3 - 10*j**2 - 11*j - 13. Let b be z(-9). Suppose -r = -b*r + f. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(432))**2 + sqrt(3) + -1 + -1 + 1.\nAnswer: 97*sqrt(3) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21187 - 9a2?\nAnswer: 207e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9006 + -9579. Which is the second biggest value? (a) w (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -5*b - 3*g + 21363, -b + 3*g + 4277 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 - ((-2 - -1) + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4\/7 (b) -3\/4 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18017513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1185*j - 642. Is 6 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4211, 4372, 4531, 4688, 4843, 4996?\n\"Answer: -z**2 + 164*z + 4048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3599510 to the nearest 10000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/((-369)\/(-90) - 4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -230, -472, -784, -1166?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*f - 29 + 10, 3*f - 6 = 0. Let d = m - -9. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -17. Let c = v + -1. What is the second derivative of c + 2*f**5 + 2*f + 0 + 0 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**2 - 12. Let t(h) = -6*h**2. Determine t(l(i)).\nAnswer: -384*i**4 + 1152*i**2 - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 1. Let d be c(-1). Let s = 5 + d. Solve -5*n = -5*v - 20, 17 = s*n - 5*v - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27137108.\nAnswer: 2, 97, 69941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:45 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 - -1?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 335939625 and 3375?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -i - 1, -4*y - 2 = i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-66528)*-42*(-22)\/2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4015889057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -8\/3, -1, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 68?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8195, -6907, -5619, -4331?\n\"Answer: 1288*r - 9483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 76645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14053 = 3*v, 0 = 4*z - 8*z - v + 28141. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3156885 is divided by 552.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 326 + 3179 = 0. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -63 and -43545?\nAnswer: 43482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmrnunku. Give prob of picking 1 r and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*(-532)\/(-6)*275\/550?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 5201 + 0*q + 0*q + 0*q + 5162 as k*q + y and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + -1. Let v = 31\/18 + -11\/6. Which is the nearest to 1\/3? (a) -2 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 17 + 12)*(a + 2*a - a)*(-3*a + 3*a + 2*a).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/4 + 1491*z**2\/4 + 45750*z - 140625 = 0. What is z?\nAnswer: -250, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -496*t - 34. Let k be x(6). Round k to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y**2 + 2*y - 2. Let m be d(2). Let c(o) be the second derivative of -m*o**2 - o + 0 - 1\/2*o**3. Give c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 11. Let g be (-5 - 402\/(-66))*6\/48*44. Let u(b) = 2*b - 23. Calculate g*u(p) + 10*m(p).\nAnswer: 2*p - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/(f\/f**(-1\/4)))\/f)\/f**(-1\/7))\/(f\/f**2*f**2))\/((f\/((f\/((f*f**1\/f)\/f))\/f))**(1\/17)*(f*f**4*f)\/f*f**(-1)) assuming f is positive.\nAnswer: f**(-2459\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 1 = 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -8. Suppose 3*o = 4*l + 17 - 1, -o + d = 0. What is the units digit of l\/3*(-15 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 10*q**2 + 6*q - 13. Let n(i) = 3*i**3 + 18*i**2 - 10*i + 27. What is -3*n(l) - 5*o(l)?\nAnswer: l**3 - 4*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 3 - ((-10)\/(-2) - 5). Solve -3*d = -n*h + 10, -h + 24 = -7*d + 2*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -8. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27035372 to the nearest ten thousand.\nAnswer: 27040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2261 + 2268. Suppose 4 + 21 = -4*z + h, 10 = -5*z - 3*h. Let p = 0 - z. Calculate the remainder when m is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8442.971 + 625.\nAnswer: 9067.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*g - 10 = 0, -4*f + 185*g - 187*g = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3631, -2359, -225, 2771?\n\"Answer: 431*n**2 - 21*n - 4041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -1184\/9*z**3 - 1480\/9*z**2 - 16\/9*z**5 - 112\/3*z - 28*z**4 + 196\/9 = 0.\nAnswer: -7, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2 - -1)*-272522. Let i = -122522 + y. What is i rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**3\/3 + 2*k**2 - 4*k - 3198. Let q(t) = -t**3 + 8*t**2 + 4. Let a be q(8). Give c(a).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189675168?\nAnswer: 2, 3, 311, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1110111010101111 (base 2) to base 9\nAnswer: 102732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:37 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 1441*u + 60815. Determine t(45).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1130*i - 21469. Give j(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5 = 5*h. Let v be h\/1 - 21\/15. Sort v, 4, -0.1 in descending order.\nAnswer: 4, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 1162, 2712, 4888, 7696, 11142?\nAnswer: 15232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**32\/((p**2\/p)\/p))\/(p**(3\/19)*p)**(-1\/3) assuming p is positive.\nAnswer: p**(1846\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6 = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 u, 1 h, and 1 v when four letters picked without replacement from {u: 1, q: 2, v: 1, j: 1, b: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 41 - 53 = u, 4*u + 3 = 3*t. Let d(x) be the first derivative of -x**3\/3 + 3*x**2\/2 - 3*x + 82. Determine d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 5, 4, -51, 6, 6\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 minus 823.3?\nAnswer: -877.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/54 and 35\/774.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 6*m = 30, n + 3*m - 2*m + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131131110 - -22?\nAnswer: 2131131132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -14, -33, -72, -137, -234, -369, -548?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -601.753942462 + 77.753945272. Let o = z + 524. Round o to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -458?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 142 - 252 = -138 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 12, 13, 14, 15?\n\"Answer: p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 - 2584*a + 834632 = 0. Calculate a.\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wot when three letters picked without replacement from ooqwqtl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4 + 40488*l**3 - 364326*l**2 + 607160*l + 1011975 = 0.\nAnswer: -1, 5, 40479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 23 - 34) + 21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 11*q - 11 = 14*q, 4*q + 12 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(-24) - 677\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110110111 + 0?\nAnswer: -111110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(3*sqrt(3)))\/(sqrt(847)*2).\nAnswer: sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -3*w. Let v be (8\/w)\/(4\/(-10)). Calculate the remainder when 26\/4*-1*v is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxkhyvwwyvyvhxk. Give prob of sequence kwk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15\/11 (b) -14 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7) + (164\/(-336) - 7\/84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(128) - (sqrt(128) + sqrt(128)*1)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a15ab (base 16) in base 9?\nAnswer: -16044202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**6 + 4*w + 0*w**5 - 1\/2*w**3 + 0 + 1\/14*w**7 + 0*w**4 + 0*w**2. Find the second derivative of p(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -171. Calculate the remainder when q is divided by (23 - -3)\/(4 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:21 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 989268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 98, 288, 658, 1268?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/33530 and 18\/16765.\nAnswer: 33530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12977.36 rounded to the nearest one hundred?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) 20.87 (d) 2\/321 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*v - 10 = 0, -262*v = 4*a - 259*v + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 5:35 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sasa when four letters picked without replacement from {s: 7, a: 12}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627 - 269 = 15251*u - 15235*u for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4254*h + 4254*h - 8510*h - 3*u = -4, -8 = -4*h - 4*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 236.8931 litres?\nAnswer: 236893.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(6 - 3 - 1) + 0 - 3 + 1)*(-24 - 10*s**4 + 4*s**3 - 5*s**3 + 22).\nAnswer: 40*s**4 + 4*s**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.048 and -2092.\nAnswer: 100.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 10 = -59*q. Solve 6*t + 2*t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1980 and 1890372.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12475 + 12502. Solve -41*t + z*t = -70 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12208673497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1434148716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 281*q**3 - 11*q**2 + 4*q - 26. Let l(w) = -71*w**3 + 3*w**2 - w + 7. Let z(y) = 22*l(y) + 6*x(y). What is the second derivative of z(p) wrt p?\nAnswer: 744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:43 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6947, 13836, 20725, 27614, 34503, 41392?\n\"Answer: 6889*f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59370 or 59371?\nAnswer: 59371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(180) + -2).\nAnswer: -24*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -2594803?\nAnswer: -37\/2594803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-24)\/40*1. What is the nearest to -0.07 in t, 0.1, 1\/16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5128692 or -5128693?\nAnswer: -5128692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:28 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-56)\/21)\/(2\/(-3)). Let r be 119\/28 - 1\/z. What is the units digit of (1 - 2)*(-44)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 - 23*a**3\/3 + 10*a**2 + 41*a - 968. Calculate m(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18028)\/(-6))\/((-62)\/(-93)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7957029?\nAnswer: 3, 19, 139597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*t - 1. Suppose t*l + 4 = 2*l. Solve -2*f + m = 7, 3*m + 3 = -l*f - 0*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 395703288 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2250 and 18945.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**2 - 4168784*y - 100048512 = 0.\nAnswer: -1042172, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - -0.13. Let w = 4.1 - 4.4. What is the second biggest value in x, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*g**5*v - 3*g**3*v**3 + g*v**3 + 47*v**2 wrt g.\nAnswer: 1020*g**3*v - 18*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**5*b**(-3)\/b*b*b)\/(b**(-1\/4)*b*b\/(b**(2\/19)*b)))\/(b**3*b**(-2\/17)*b**(2\/3)\/((b**(-6)\/b)\/b)) assuming b is positive.\nAnswer: b**(-31759\/3876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980741205 divided by -108971245.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = -3*q, -2*b - 3*q + 7 = 3*b. Let o(j) = 8*j**2 + 6*j + 4*j**3 + 11 - 3*j**3 - 5*j. Let l be o(-8). Solve -3*y = -b*y + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 117 = 3*b + 2*b, 0 = 4*b + 5*i - 91. What is the remainder when (1 + -48)*(2 + -4 + 1) is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4 - 17 + 9 + 7 + 2*a. Let x be l(6). Factor -5*k - 20*k**4 + 0*k**2 - 15*k**3 - x*k**3 - 5*k**5 - 20*k**2.\nAnswer: -5*k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1057, -3, -641 in ascending order.\nAnswer: -641, -3, 1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 - 2*b**4 + 6*b**3\/7 + 158*b**2\/7 + 92*b\/7 - 240\/7 = 0 for b.\nAnswer: -5, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469137242?\nAnswer: 2, 11, 13, 8633347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**6))\/(b*b**(-1\/11)))**(42\/11) assuming b is positive.\nAnswer: b**(2814\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(((sqrt(72)*2 + 3 - sqrt(72))*-4)**2 + -1) + -5.\nAnswer: -12955 - 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/167 + 28814\/501. Let g = 58 - f. Which is the closest to 1? (a) 2 (b) -2\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 253.\nAnswer: 6\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**4 + 0*m**4 - 3*m**3 + 2 + 6*m**3 - 2*m**3 as p*m + s*m**4 + n + i*m**2 + k*m**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22810 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85739 and 4734239?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -699*c**2 + 11202*c - 288.\nAnswer: -3*(c - 16)*(233*c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 462.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -49. Let s = 8 - m. Which is smaller: s or 6\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 22, 3 in descending order.\nAnswer: 22, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54355899?\nAnswer: 3, 13, 53, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 97*g + 251*g - 5 + 2 in the form p + v*g and give v.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6972 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 855 and 245005?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24192 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * 3.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 331\/9. Factor h*y**4 - 2\/9*y**2 + 2\/9*y**3 + 0 - 2\/9*y.\nAnswer: 2*y*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:42 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/970800454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r - 14. Let n(y) = -7*y - 13. Let g(x) = -6*m(x) + 5*n(x). Let d be g(-14). Solve 0 = -d*w + 5, 13 = 4*h - 0*w + 5*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -61 - (-22 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*-1*(-1 + sqrt(162))*3)**2.\nAnswer: -324*sqrt(2) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 52 + -28 - 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 36. Let d = 78 - a. What is the highest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (159 + 253 - 1107)*(2 + 1 - 5)*(2*p - 23 + 23) to the form v + s*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1116 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*d**2 + 715555*d + 636056 = 0. Calculate d.\nAnswer: -8\/9, 79507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9787.63 nanometers to micrometers.\nAnswer: 9.78763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 2112?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 18*b - 65. Let k(z) = 8*z**2 - 37*z - 131. Let v(m) = -5*g(m) + 3*k(m). What is the remainder when 39 is divided by v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47704116 and 5067?\nAnswer: 143112348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldl when three letters picked without replacement from {l: 5, d: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m + 13*m + 1602 = -37*m. Let s = 0.1 - 0.3. Which is the biggest value? (a) m (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117563295.\nAnswer: 3, 5, 7837553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 1927.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2225 - -2343.3. What is v rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2904 is divided by 290.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2077?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 51. What is the least common multiple of 6 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (4 + -4)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -14. Is 4\/37 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-19))*p\/(p*(p\/p**(-17))\/p))**(-1\/3) assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31938136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 2\/9, 86?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - c = -165, -f - 2*f + 2*c = 165. Let j(l) = l**2 + 11*l - 4. Let r be j(-6). Let u = r - f. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01071659958 rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 184.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233841538 to the power of 1\/2, to the nearest integer?\nAnswer: 35126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a + 2*s = 48*a - 16, 24*a + 5*a - 4*s + 0*s = 137 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide (-6)\/(-8) - (-52432)\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 154*k**2 - 1760*k - 3139. Determine f(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4, -2*t + k = -0*t - 209 + 212 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 192772*k\/9 + 10007920\/3.\nAnswer: 2*(k - 96230)*(k - 156)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 8*n**2 - 4*n - 8.\nAnswer: 4*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*(1 + 0))\/(-1). Suppose -i*d = -9 - 3. Suppose 0 = -4*g + 5*a - 9, d*g + 3*a = 3*g + 27. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8301993 is divided by 8301993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.038, -5, -90 in decreasing order.\nAnswer: -0.038, -2\/5, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*t + 8, 2*n = -4*t + 2*t - 4. Suppose 259*o - 250*o + 18 = n. Which is the third biggest value? (a) 5 (b) o (c) 129\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 3936?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 15 - (3 + -2 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31327533 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3012526?\nAnswer: 2, 11, 19, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/90 - u**4\/27 - u**3\/9 + u + 91. Determine m, given that r(m) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/60 and 151\/210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 5, 0.3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30265\/7 - -4324. Factor 0 - 1\/7*h**5 - t*h**4 - 1\/7*h**2 + 0*h - 3\/7*h**3.\nAnswer: -h**2*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 c when three letters picked without replacement from icyxcxgby.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 12 + 1)*(70517 - 614*f - 70517) + (-3*f + 3*f - f)*(-3 + 3 + 1) in the form q*f + x and give q.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003216507 rounded to 7 dps?\nAnswer: -0.0003217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(8) + sqrt(32)\/sqrt(4)*-1 - (sqrt(8) + sqrt(512)*-2))\/(sqrt(40)\/(-1*sqrt(10)) - sqrt(64)*-6).\nAnswer: -75*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -24*s - 10944. Solve -s*k + 336*k + 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1275888, -1275889, -1275890, -1275891, -1275892?\n\"Answer: -w - 1275887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 7) to base 11.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2289 by 6.\nAnswer: 763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.966*12548.\nAnswer: -162697.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57227 (base 9) to base 4.\nAnswer: -21103033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187355*h**2 + 5692*h**3 + 187355*h**2)*(-5*h + h + 2*h + 2*h**2).\nAnswer: 11384*h**5 - 11384*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 516\/5 greater than -54036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57628621 divided by -313.\nAnswer: 184117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42199 + 42019.67. What is x rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106594 and 1784.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/974 and 59\/19056.\nAnswer: 9280272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-6)\/(-3*(-20)\/195))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11140, 44547, 100222, 178165, 278376, 400855?\nAnswer: 545602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13846.634815 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 381*x - 9571. Calculate i(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*((-88)\/(-55))\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12891*j - 799192. Calculate n(-62).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11608 + (4 + 31)\/7. Suppose 2*u + 65 - h = -2*i, 4*u - i - 23121 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/61 (b) 0.2 (c) 4 (d) -123407\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/5)*x**(-3\/13))**(-9\/11)\/(x**(-5)*x*x**(-3\/2))**(8\/3) assuming x is positive.\nAnswer: x**(29057\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.249 * 13955.\nAnswer: -3474.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 240187607 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, p: 8, a: 3}. What is prob of sequence up?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/28)*(d\/d**(-9))\/d)\/((d**(-1)\/d)\/(d**(-15)*d*d)) assuming d is positive.\nAnswer: d**(-29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2)\/(-3) - 3. What is the common denominator of 34\/3 and (-240)\/99 - 1 - l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1\/6*o**4 + 0*o**3 - o + 0*o**2 + 3\/10*o**6 + 0*o**5 + 0. What is the third derivative of h(z) wrt z?\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-13)\/((-13)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -u + 20, -6*h = -u - h - 16. Let d = 2 + 1. Let b = 3.4 - d. What is the second biggest value in b, -0.2, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -7, 2, -204, -5, -1 in descending order.\nAnswer: 91, 2, -1, -5, -7, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 + 20*j**4 + 60*j**3 + 10*j**2 - 55*j - 30 = 0. Calculate j.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3606)\/1764 + 2\/1 + 0 and -80\/33?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130574779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2098\/15 - -419\/3. What is the second smallest value in -8, -3, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260406 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-252)*(-13545)\/(-430).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 11:23 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -167 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2207*x + 51*x**2 + 0*x**2 - 2208*x.\nAnswer: 51*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*y + 2096*y = -16000 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**6 + 55*t**5 - 110*t**2 + 2 wrt t.\nAnswer: -720*t**3 + 3300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13291249*t**4 + t**2 + 24821*t + 149 wrt t.\nAnswer: -318989976*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 + 4873 = 607*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32\/7, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 7, u: 1, r: 4, p: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 119\/(-8 - -1). Let u = -868 + 866. Sort w, u, 2 in ascending order.\nAnswer: w, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/8 (b) -5 (c) 2 (d) -2\/3 (e) -2\/183\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 - 2*p**4 - 2*p**3 + p**4 - 19 + 13 + 8 in the form v*p**4 + y*p**3 + l*p + f*p**2 + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 880110\/27940 + (-12541)\/398?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26386 and 2462582?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1356275359.58 - -77.\nAnswer: 1356275436.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5773*n**2 - 3614*n**2 - 3621*n**2 to the form d*n**2 + a + g*n and give d.\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**20))\/(f\/f**(3\/5)*f))\/(f**(7\/8)*f*f\/(f*f*f**(3\/2))) assuming f is positive.\nAnswer: f**(-831\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*(-1)\/2*58752\/(-1836)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35347?\nAnswer: 13, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 9\/(-1) - 4. Suppose 0 = z + n*z + 640490. Let v = 378098 + z. What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 33*j + 5223. Determine k(90).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*w - 68 = -417*w + 2*c, 4*w - 3*c = 76. Solve 10*g - 14*g - 3*i + w = 0, 5*g = -2*i + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218 - -217.738. What is m rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16425, 32913, 49401?\n\"Answer: 16488*x - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/7)\/k*k*k**11*k assuming k is positive.\nAnswer: k**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -5 - 5\/2*r**2 - 44*r. Let n be h(-12). Calculate the greatest common factor of n and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 4*d - 3*d)*(3*d**2 + d**2 - 6*d**2) - 21*d + 21*d + 3*d**3)*(0 - d + 0).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -8.507.\nAnswer: 17.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbjbjskpsjbjb. What is prob of picking 1 j and 1 p?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-166))\/((-930)\/(-18135)) and (-27 - (1 + -2)) + -2.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 - 5*q - 8. Let p be (-82)\/(-164) + -13*(-1)\/2. What is w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -3 (b) 0.2 (c) -1 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (24 - 16) + 13 + -124 + (9 - -1).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 25 - (12 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3737*d + 4109*d - 1 - 14773*d - d**2.\nAnswer: -d**2 - 14401*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256443468?\nAnswer: 2, 3, 23, 47, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5))\/(k\/(k\/(k\/k**(2\/21)))))\/(k\/k**(-1)*k**(-1\/3)) assuming k is positive.\nAnswer: k**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 12.5. Let f = v - 3.5. What is the second smallest value in 0, f, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2360 and 21535.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/6 + 2*s. Let d(j) = -61*j**2 + 28*j**2 + 36*j**2. Determine d(n(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 636 + -15903\/25. Let g = 115 - -170. Let b = 3137\/11 - g. Are b and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f + 3230. Is 17 a factor of 0 + -3 + -1 - (-4 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6) + (-422)\/(-12). Suppose -5*x + 2*p = -485, -4*p - t = -x + 62. What are the prime factors of x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4\/5 - 423*y**3\/5 - 714*y**2\/5 + 1453*y\/5 - 312\/5 = 0 for y.\nAnswer: -104, -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8808975?\nAnswer: 3, 5, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4283, -15119, -33167, -58427, -90899, -130583, -177479?\nAnswer: -231587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1)**50)**14)**(-5) assuming f is positive.\nAnswer: f**(-3500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-12456)\/(-4)*19. Let w = v + -101169. What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -257356955.1.\nAnswer: -257356955.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -503*l**3 + 254*l**3 + 253*l**3 - 26*l**2 + 3 - 3 - 2*l**3 + (-2*l + 0*l + 3*l)*(-5*l**2 + 0*l**2 + 3*l**2) + l**3 - 4*l**3 + 2*l**3.\nAnswer: -l**3 - 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 divided by 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*5*(-3)\/15. Calculate the lowest common multiple of 554\/22 + u\/22 and 140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = 0. Suppose -p = -l*p. Suppose -u + 3*u - 8 = p. Solve 0*t + 5*a + 4 = -4*t, -2*a = u*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/98*(-98)\/4*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198025 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o**2 - 6333*o - 44305. Calculate j(-7).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -23. Let q be 24\/(-32) - s\/8. Let g = -5.02 + 0.02. Which is the closest to 0.1? (a) q (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let a(d) be the first derivative of -35*d**3 - 11. Calculate m(a(t)).\nAnswer: 105*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168.08698*-4.\nAnswer: 672.34792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -3559?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 33. Suppose -d = 5*x - 13. Is 1\/x + (-285)\/(-90) - 0 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -v - 3*v, 2*v = 3*c - 2. Suppose 86 + 683 = i + 5*y, -1478 = -c*i + 5*y. List the prime factors of i.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 7326.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:55 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*f - 26 = -3*f, 0 = 4*j + 5*f - 86. Suppose 5*a = 57 + 8. Calculate the remainder when j is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2240, 2238, 2236, 2234, 2232?\n\"Answer: -2*c + 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v = -99*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -29. What is the units digit of (30\/(-9))\/(y\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*q = 122*q + 3244875. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**2 + 20*s + 27. What is r(-3)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 0*n - 1608*n**4 + 1610*n**4 + 1 + 1 + 61*n**2 as y*n**2 + x + r*n**3 + v*n**4 + g*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*k**5 + 1628*k**4 - 29286*k**3 + 75620*k**2 - 69849*k + 21896 = 0. Calculate k.\nAnswer: 8\/9, 1, 17, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14409 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: Calculate the highest common factor of 60 and 1468185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from hhfhfyfypylhf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2140 + -55?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2\/3*g**3 - 2*g**2 - 2 - 4*g + 1\/4*g**4. What is t(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 11*c**2 + 14*c + 8. Let l be s(-9). Is (-8)\/l + (-5)\/((-165)\/2514) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttjuttmbjtmjjumjjj. What is prob of sequence jbju?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-48)\/240?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k + 100. What is q(0)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from fmmmmmmmmfmmmmmmmmm.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/5, 2\/9, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*t + 6 - 3 + (-t + 0*t - 6*t)*(6 - 1 + 0) as c + a*t and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - n + 2. Let v be t(2). Let g be 11\/(-10) + v\/(-20). Let q = 9\/20 + g. Find the common denominator of q and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*c + 3429 = 14700 + 6585 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 103*i**2 + 2600*i - 2704.\nAnswer: (i - 1)*(i + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q - 2*q. Suppose -5*p + 0*p + 200 = q. Let w be 60\/p*(-4)\/(-6). Solve t + 3 = -w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by -75.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*t = -338 + 50 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1409 and 3?\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -113941 != -113931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*n = 351*n + 168. Let s = -7.3 + 7. Which is the smallest value? (a) 0.03 (b) n (c) -9 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 + -100. What is the smallest common multiple of t and (-9)\/6*48\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60012032.\nAnswer: 2, 19, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z + 267 - 267.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5282*j + 5314*j - 47 - 10675*j + 47.\nAnswer: -79*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2 - 5 + x**2 + x - 2*x + 0. Let j be n(3). Suppose -j*y + 6*y - 60 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41885452 is divided by 1692.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.27 and 20671225333617.\nAnswer: 20671225333616.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttstttttt. Give prob of picking 2 t.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 23*z - 44. What is the remainder when f(-27) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 5*l**2 + 5*l + 29. Let x be t(-5). Solve -x*w - 64 = -44 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1301*d**5 + 191*d**4 + 108*d**3 - 3*d - 5427001 wrt d.\nAnswer: 26020*d**3 + 2292*d**2 + 648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -3*z**4\/16 - 9*z**3\/4 + 3*z**2\/8 + 27*z\/4 - 2860. Solve g(k) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54170920?\nAnswer: 2, 5, 757, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/120 and -45\/4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.87 - 0.87. Which is the nearest to 0.4? (a) 0.1 (b) v (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x\/(x*x*x**1)*(x*x\/(x**(-2\/7)\/x))**(-5\/2) assuming x is positive.\nAnswer: x**(-59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 - 8*b + 9. Let l be v(-9). Suppose l = -3*d - 2*x + 12, -d - x = -3 - 2. Differentiate 2*o + d*o + 1 - o + 2 wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.020190625 - -31.979806575. Let b = 32 - k. Round b to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3886051*r**3 - 3886050*r**3 + 1 + 14.\nAnswer: r**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 15. Let i be (-3)\/4 + (-517)\/(-44). Let y be j(i). Solve -y*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -531401 and 224?\nAnswer: -119033824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.2, -0.4, -0.45, 7.5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -529 - 1?\nAnswer: -52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 2030\/99, -17, -3, 2 in descending order.\nAnswer: 2030\/99, 2, -1\/8, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 14 - 18. Let q = 4 + o. Solve 13 = 4*u - q*h + 6*h, 2*u - 11 = h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3018918216 - 3018918282.99999818. Let n = y + 67. Round n to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 39*s - 45. Determine t(-39).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 757 + 2*r**2 - 2*r**3 - 760 + 5*r**4 + 3*r**3 + r as l*r**3 + a*r**4 + h*r**2 + y*r + g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70450852 to the power of 1\/2, to the nearest integer?\nAnswer: 8394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y. Let l(v) = 9*v**2 + 3*v - 1. Let a be l(2). Let b(d) = -a*d + d**2 + 41*d. Determine c(b(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52436 + -29505. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73642194*q**3 - 79288*q**2 + q?\nAnswer: 441853164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -165e (base 15) to base 8\nAnswer: -11316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:17 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10627.\nAnswer: 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*z - 176*z - 16 = -2*a, 5*a + 4*z = 1. Solve a*q = -4*j + 4, 8*j - 5*j + 4 = -2*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 202*o + 11. Let d(h) = 204*h + 9. Give 7*d(u) - 6*s(u).\nAnswer: 216*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 2*m + 1. Let h(g) = 12*g**2 + 189*g - 30. Let u(r) = h(r) - 3*l(r). What is the units digit of u(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36774 (base 8) in base 16?\nAnswer: -3dfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -75, -107, -173, -285, -455, -695?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/12)\/104*8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 + 2*o + 6. Let z be 18\/15*10\/(-3). What are the prime factors of s(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 52*l**2 + 10*l + 10. Give d(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84327 is divided by 4684?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n - 2*a, -5*n + 11 = -4*a + 42. Let m be (56\/35)\/(n\/75). Let j = 110 - m. Calculate the highest common divisor of j and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10400 divided by -32?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/3 - 28*b**3\/3 - 64*b**2\/3 = 0. Calculate b.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3045203863?\nAnswer: 13, 17, 151, 91253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23645 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 5*l + 19, 2121*c - 3*l + 5 = 2119*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 6*q**2 - 5*q + 9. Let d be k(-5). Suppose d*z = 7*z + 6. Find the third derivative of -g**z + g**2 + 9*g**2 - 4*g**3 + 0*g**2 wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -18*b + 697. Let a(y) = 4 - 18*y - 24*y + b*y. Let o(w) = 1. Let p(n) = n**2 - 5*n + 6. Let v be p(4). Give v*o(i) - a(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/135891 and 133\/2096604.\nAnswer: 14676228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 12*h**2 - 2*h - 9. Let f be a(12). Let g = f - -57. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382669 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: Four letters picked without replacement from muxbbjg. Give prob of picking 1 g, 2 b, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-5\/6))\/n*n)\/n*(n*n**1)\/n*n*((n**(-1)*n)\/n)\/(n*n**(2\/31)*n) assuming n is positive.\nAnswer: n**(-353\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1600, 6 in decreasing order.\nAnswer: 1600, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/60 - a**4\/8 + 37*a**3\/6 - 158*a**2. Let g be i(6). Let w = -2.03 - -0.03. Sort 2, 3, w, g in decreasing order.\nAnswer: 3, 2, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30705 and 7209.\nAnswer: 829035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10126122 - 0?\nAnswer: -10126122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 963 + -496. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/457 + -20176\/34275. Calculate the common denominator of 131\/84 and t.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.08 - 0.9. Let b = 0.08 - m. Let y be 2\/12 - (-1)\/(-2). What is the nearest to y in b, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - x. Let q(o) = -3*o**2 - 2*o. Give -3*q(b) + 5*t(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/2 + 10*m + 3. Let i(d) be the first derivative of c(d). Is 11 a factor of i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -3 in increasing order.\nAnswer: -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, b: 15}. Give prob of picking 3 x.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 - 220. Suppose -m - 6 = -10*b. Solve 4*p + 11 = 5*x - 0, -p + 16 = b*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3420554 (base 9) to base 6.\nAnswer: -103305251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 1. Let r(d) = -d - 1. Let s be 1 + 0\/(4 - 3). Determine s*r(u) - g(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-15)*13\/((-273)\/35).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145 - -257. Let l = 115 - w. Which is the third biggest value? (a) l (b) -0.1 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 20, -3\/5, 6, 4, 0 in increasing order.\nAnswer: -3\/5, 0, 6\/7, 4, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230.6 - -210. Suppose -15 = 63*d - 68*d - 4*h, 0 = 3*d - h + 8. Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 202, 466, 846, 1348, 1978, 2742, 3646?\n\"Answer: g**3 + 49*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and 523.6372?\nAnswer: -151.854788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12794, 2, 134, -5.\nAnswer: -5, 2, 134, 12794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 902*c**3 + 266*c**2 - 13*c - 9. Let l(i) = -301*i**3 - 84*i**2 + 4*i + 3. Determine -19*l(h) - 6*n(h).\nAnswer: 307*h**3 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.96612 - -0.03388. What is the closest to -2\/7 in -0.1, 3, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 6*b + 12*b - 2*b - 12*b**2 + 48*b - 54*b.\nAnswer: -12*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 363 - (-2 - (-10 + 4)). Suppose -q - 3*g + 1059 = 2*q, 5*g = q - m. Is 29 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.3908 rounded to one dp?\nAnswer: -53.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 7*h**2 - 223 + 9*h**2 + 223.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 8*v**2 + 4*v**2 + 3*v**2 - 44 in the form o + j*v**2 + u*v and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 66.1 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214 + -213. Solve z = 2*h + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + 4*y = -28, 0 = -3*z + 5*y + 3. What is the remainder when 37 is divided by z\/(-6) + (-49)\/(-3) + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 106.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 28368 = 6*p - 3*x, 4*p - 5*x = 22697. What are the prime factors of p\/9 + ((-75)\/9 - -8)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(1*sqrt(2299) + -4 + (-3 + (2*sqrt(2299) - sqrt(2299)) + sqrt(2299) - sqrt(2299))) + 2)*-1)**2 + -2)*-4.\nAnswer: -147704 + 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 2*q**2 + 2*q**4 - q**4 + 4 - 4 + (-2*q**3 - 4*q**3 + 3*q**3)*(-q + 2*q - 5*q).\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 21 = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -76, -205, -386?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1061, -2060, -2913, -3548, -3893, -3876, -3425, -2468?\n\"Answer: 12*s**3 + s**2 - 1086*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 46 - 93 + 272*v**3.\nAnswer: 272*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -45 - (2199 + -2230).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvxdxxiidixxihvhhhv. What is prob of sequence iddd?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 6*i**2 + 5*i + 3. Suppose -27 - 12 = -13*h. What is the smallest common multiple of t(h) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 892024*l - 2676108.\nAnswer: 4*(l - 3)*(l + 223009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1080 and 103\/42390?\nAnswer: 169560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 20. Let r be d(11). Suppose 0 = 10*g - 6*g - 120. What is the highest common factor of r and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 23*c**2 - 66*c + 89. Let q be k(-21). What is the greatest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 8*g + 7. Let s be w(6). Let p(c) = -2 + c + 4*c + 8 - 54*c. Is p(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/139 + -17969\/3336. What is the common denominator of (-3)\/(-30)*(2 - 5) and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 70 - 22 = 0. Let d = 3 - -1. Suppose -d = -c + 3*w, 0*c - w = -4*c + 16. Solve -3*l - 4 = z + 12, v*z - 17 = c*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.086 - -4.914. Sort 9, 3, w in decreasing order.\nAnswer: 9, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 915, 916, 917, 918?\n\"Answer: j + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(-1))))**(-3\/2)\/(h**(-2\/5))**(-7\/9))**(-9\/2) assuming h is positive.\nAnswer: h**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -9.15. Let l = -5 - w. Let z be (-23)\/(-7) - 30\/10. Which is the closest to z? (a) 1\/3 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + -5 + 5 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 25, 15, 1, -17, -39?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**3 - 2*p**2 + 2*p + 1. Let o(l) = 14*l**3 + 6*l**2 - 5*l - 3. Let g(h) = -4*o(h) - 11*x(h). What is g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008075 rounded to 4 decimal places?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5079*v - 5245.\nAnswer: -5079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*b = 126*b - 48. Solve b*m + 9 = 9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -14. Let z be 2\/(2\/25*10\/b). Suppose z*s - 164 = 8*s. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6489 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6681.\nAnswer: 3, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 204 = -2*u, 3*f + 47*u - 160 = 49*u. Calculate the remainder when 1972 is divided by f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/2 - 59*t + 3481\/2 = 0.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4 - 0. Let n = -1 - c. Suppose n = x - 5. What is the nearest to 0.1 in x, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*((-14)\/105)\/(5\/125).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 2, o: 9, m: 6}. Give prob of sequence ro.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*k - 2425 = -1307*k + 5495 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:31 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -20*z**3\/3 + 15*z**2\/2 + 11*z. Is k(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93612 divided by 3228?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25041839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*x = 1086 + 410. What is the nearest to 10\/9 in -4\/7, x, -17\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, -2, -4, -2\/33, -0.25?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 1604852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -q + 55*t - 59*t, -106*t = 5*q - 103*t - 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144733 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 45*p + 269. Let u be 3\/4 + (-6)\/((-264)\/1639). Let c be l(u). Solve -j - 2*j = -5*r - c, 4*r - 3*j + 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = r + 347 - 363, 2*t - 4*r = 32 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-2)*(2 - 1). What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + sqrt(208))**2.\nAnswer: -40*sqrt(13) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.774.\nAnswer: -0.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 646 - 637. Let v = -604 + 3022\/5. Put t, -3\/7, v, 0.12 in increasing order.\nAnswer: -3\/7, 0.12, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z - 2*i - 10, -3 = z - i. Which is the fourth biggest value? (a) 1\/4 (b) 3 (c) z (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2 - -4 - 1. Solve l*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23062642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*s**2 + 19*s**2 + s**4 + 11*s**2 + 18*s**2 - 3 - s + 15*s**2 as z*s**4 + c*s**3 + t + m*s + x*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002325567 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -1 + 5. Let x = 2 + m. Suppose x*f + 335 = 9*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 997640 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 343.1087 to 1 decimal place.\nAnswer: 343.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 3138*y + 22064.\nAnswer: -2*(y - 1576)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -41*q - 6. Suppose -25 + 1 = 4*s. What is the hundreds digit of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.74 times -0.06\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2437313 and 74.\nAnswer: -180361162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 4, -1\/33, 1\/3, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5. Let r(m) = -4*m - 20. Let d(g) = 5*r(g) + 20*w(g). Let l(v) = -4. Let q(b) = -b - 16. Let o(a) = 12*l(a) - 3*q(a). Calculate d(o(c)).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2 - 2)) + 8 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3149 divided by -67.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 6, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 18. Let b(m) = -m**2 + 59*m - 236. Let i be b(4). Give t(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 32 - 7*i**2 + 32.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 44. What is the remainder when 287 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -3 (c) 0.246 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o**2 - 2818*o - 2819. Determine y(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -4*sqrt(171)*6)\/(sqrt(81) + sqrt(81) + sqrt(81)*2 + sqrt(81)).\nAnswer: -23*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l**2. Let q be (8\/12)\/(2\/(-6)). Let a(h) = 4*h**2. Let t(z) = q*o(z) + 7*a(z). Let i(f) = f**2 - 4*f**2 + 2*f**2. Give t(i(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Suppose 4*w = c*m + 18, -5*w = -3*m + m - 14. Suppose 8*b = w*f + 3*b - 27, 3*b = 5*f - 115. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2835.79, 1\/2, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**3 + 170*c - 171*c - 43*c**3.\nAnswer: 3*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18804+-3\nAnswer: -18807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/17, 2\/7, 0, 1, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 104 = 20*c - 25*c, 45*c - 40*c - 65 = 5*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from pxooxpbppbo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -445, -552, -701, -892, -1125?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:13 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(9*c + 2*c + 9*c).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-264)\/110)\/(4\/(-10)))\/(2\/(-4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -620, -1372, -2418, -3758, -5392?\nAnswer: -7320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/240)\/((-2)\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Suppose -t = s + 1, -7*s - 21 = -2*s - 3*t. Let p be m(s). Suppose -p*b + 41 = -71. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x - 6. Let n be d(1). Find u such that 5*u**5 - 65*u**3 + 25*u**n - 75*u**2 + 4*u**4 - 8*u**4 - 6*u**4 = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 4*r = -4*u + 4, 3*u = -2*r + 3. Let l be (-3 + r)*(0 + -1). Suppose l*w - 100 = -2*w. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 5*j - 12 = 8*s, s = 5*j - 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + t - t)*(2 - 3 - 1) - 5*t + 0*t + 4*t - 11*t - 1 - 10*t + 20*t - 2 - t + 2 to c + o*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 27, 15, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -20*y + 19*y. Let w = 6 + -13. Let p = w - -12. Sort p, 3, y in increasing order.\nAnswer: y, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 3*y**2 - 5*y + 4. Let s be g(3). Let t be (1\/s)\/(6\/(-12)). Let p = 0.1 - 0.2. Which is the second smallest value? (a) t (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-43 + 10 - -28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2409268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113413036 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10021 (base 3) to base 14\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 60 = -5*d, 0*d - 24 = 2*d - x. Is d < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 18*b - 72. Let t be -2 + 9 + -24 + 25. Let d be i(t). What is the highest common factor of 344 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 487 = 188 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 7*y - 22. Give k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2, 5 in decreasing order.\nAnswer: 27, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g - 76*g - 75*g + 520*g - 66*g + 6*g**2 - 212*g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08645772 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103518.87 rounded to the nearest 10?\nAnswer: 103520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11 = 5*m, 11 = -3*m + 4*m + 2*p. Suppose -5*u = 3*g - 45 - 13, -47 = -4*u - m*g. Solve -15*f + 8 = -u*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:41 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 252355 + 12?\nAnswer: 252367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + -2)\/((-184)\/(-183356)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6 + 4c68?\nAnswer: 4b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f + 3*n, -n + 12 = 4*f - 0*f. Let k be (-144)\/180 - (11\/5 - f). Solve 2\/5*c + k + 1\/5*c**2 - 1\/5*c**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - (-25 + (-2 - (6 + -6)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -28*t - 2 - 22*t - 11*t + 3*t**2 + 58*t. Calculate v(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -448776 * 266\nAnswer: -119374416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4241288961?\nAnswer: 3, 7, 13, 43, 83, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*c = -10 - 6, 3*c = 4*d - 69. Let n be 249\/27 + (-4)\/d. What is the tens digit of n - -1*(2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 8. Let q be u(5). Is 1363 + (-60)\/q + (-6)\/33 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (12\/(-5))\/((-14)\/105) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17064997 is divided by 461216.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(5)*2 + sqrt(5))**2 + sqrt(245)*-2 - (3 + sqrt(40)\/(1*sqrt(128))).\nAnswer: 63*sqrt(5)\/4 + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 85*g**3 - 5*g**2 - g - 10. Let v(c) = 42*c**3 - 2*c**2 - 4. What is -2*n(x) + 5*v(x)?\nAnswer: 40*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 9. Let f be (80\/z - 5)*-3. Suppose -f = 4*o - 3*n, 3*o + 2*n - 5*n = -75. Is o at most as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11701 - 11692.447. What is a rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 73392*w - 26688. Let x(q) = 6*q - 2. Give 13344*x(f) - z(f).\nAnswer: 6672*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 27.1. What is the third biggest value in 0.4, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let s(t) = -5*t**2. Let o(k) = -k**2. Let c(z) = 21*o(z) - 3*s(z). Let f(m) = -c(m) + 2*x(m). Let u(a) = -2*a**2. Give u(f(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {a: 2, e: 2, t: 4, o: 3, d: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*q - 6. Let h(z) = 2*z - 22. Let w be h(q). What is the third derivative of 0*l**2 + l**2 - l**w + 5*l**2 wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b - 39. Calculate s(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -2*x**5\/5 + x**4\/6 - 5*x**3\/6 + 2*x**2 + 3911*x. Let f(s) = -9*s**3 + 3*s**2 - 5*s + 5. Determine 4*f(m) - 5*u(m).\nAnswer: 4*m**3 + 2*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/6 + s**3\/2 + s. Suppose 6*c + 5*z = c, 3*z + 10 = -c. Suppose c*i = -5*l - 5, -i + 3 = 3*l - 0. Calculate j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 182067*f**2 + 4*f + 182069*f**2 + 0*f + 3*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (27\/6)\/9*2 + 102 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190145 is divided by 737?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.738223 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1339468 and 22?\nAnswer: 14734148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 514, 512, 508, 502, 494, 484, 472?\n\"Answer: -g**2 + g + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 484*m**3 + 2*m**2 + 2*m + m**4 + 458*m**3 - 1447*m**3 + 471*m**3 in the form f*m**4 + x*m**3 + a*m + j + q*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 + 1. Suppose 0 = 5*x - 1 - 4. Let n be ((0 - 2)*x)\/(-2). Determine j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 5:52 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/10113 + -475469\/798927. Find the common denominator of 29\/10 and h.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + u**2 + 1. Let g(f) = 18*f**3 - 7*f + 17*f + 12 + 22*f**2 + 4*f**2. Let h(m) = g(m) - 10*p(m). Factor h(y).\nAnswer: 2*(y + 1)*(2*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - b)*(3*b - 5*b + 0*b) - 74*b**2 - 1943*b + 1943*b + 3*b**2 + 0*b**2 + 0*b**2 + (2 - 2 - 2*b)*(2*b - 5*b + b).\nAnswer: -71*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 15. Suppose -5*x = -a, 0 = -y - 4*x + 2*x + 68. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 l when four letters picked without replacement from tqtttllqllll.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 24824 - 24619 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 25353535*l**2 - 32140124880080*l - 96420146458560.\nAnswer: -5*(l + 3)*(l + 2535352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15893 is divided by 5234.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1240 + -363?\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 - 130\/300. Which is the smallest value? (a) r (b) 31 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/17 and (-4774)\/330 + 4\/5?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6138 - -6159. Let p = -70 - -132. What is the remainder when p is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5114.61 millennia?\nAnswer: 5114610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(228\/24 + -9). Let w = 6 - 8. What is the common denominator of (w\/45)\/(g\/(-5)) and 22\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20743*m**3 - 17*m + 17*m - 27892*m**3.\nAnswer: -7149*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 319188*y**2 - y - 894136 with respect to y.\nAnswer: 638376*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 33. Let t(n) = 34*n**2 - 5*n. Give f(t(a)).\nAnswer: -102*a**2 + 15*a - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4141 - 4141.146. What is the second biggest value in x, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50760232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 79. Solve -5*q - d = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 14.4. Let v = -5 - y. Let d = 365\/4 + -92. Sort -3, d, v in increasing order.\nAnswer: -3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2 - 6*j + 6. Suppose 25*c - 22*c = -567. Let k = c - -195. Determine r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 19225 = 33*f. List the prime factors of f.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1542 - 990. Let z = -550 + l. Sort -12\/11, 2\/13, 2\/11, z in descending order.\nAnswer: z, 2\/11, 2\/13, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from pppxxpzdd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 455196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2605008758 to the nearest integer?\nAnswer: 51039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 9) + (22 - (-3 - (15 + -26) - 9))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3737 + 2469. Let q be 6\/33 + (n\/(-44) - 0). Suppose -720 = 24*g - q*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a**5 + 1133*a**4 - 10244*a**3 - 13476*a**2 - 1120*a + 1024 = 0.\nAnswer: -32, -1, -2\/5, 2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 - 227. Differentiate 28 - 70 - 38 - f*n + 3*n**2 wrt n.\nAnswer: 6*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 12 + 22 = -i + 6*i, -3*l + 2*i + 580 = 560 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5198639*n**2 + 10397271*n**2 - 5198635*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47f5 - 11ef?\nAnswer: -59e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 - 4. Let q = 11 - 14. Let u be j(q). What is the greatest common divisor of 352 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*-0.1106\nAnswer: -2.9862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -238, -263, -288, -313, -338?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3061 (base 8) to base 11.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-6)\/8*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 51\/(-12)) + 1184\/(-128).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 196\/16 - (-6)\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*186.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 21*w - 23. Let i be b(-9). Let p(t) = t**2 + 0*t**2 + 3 + 1 - 5*t. Give p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 0.2, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191 - 190. Sort 4, 29, h, 0 in decreasing order.\nAnswer: 29, 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2779, 2266, 1753, 1240?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379 - 374. Let y = -0.206 - -0.006. Which is the nearest to u? (a) -2 (b) 1\/17 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-121201.\nAnswer: -12120.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/20 - w**3\/6 + w**2\/2 + w. Let y(d) = d**2 + d - 2. Let x be (4\/6)\/((-3)\/(-9)). Determine x*p(h) + y(h).\nAnswer: -2*h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4691132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/10)\/y)**(-1\/6)*(y*y**(2\/3)\/y)\/y*y*y**13*y*y assuming y is positive.\nAnswer: y**(949\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144893, -289753, -434613?\nAnswer: -579473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*2 + sqrt(385)\/sqrt(275))\/(sqrt(1701)\/sqrt(3)*5).\nAnswer: 37*sqrt(5)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/90*12 - 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 + 37?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28e - 1399?\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 6\/97, 2, 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595826 is divided by 33101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16107331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/30)\/(2\/(-8)). What is the remainder when (-26)\/(-4) + b\/4 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*y = -57*y + 74*y - 1152 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 4 - 4 + r**2. Let m be c(-2). Let t = -8 - -10. Solve 5*n = t*z - 8, -4*z + 0*z + m*n = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 2 u when four letters picked without replacement from {q: 3, a: 3, w: 1, z: 3, u: 3, h: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 6. Does 3 divide i(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -181*x + 107506 + 101756941. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/6 + 4\/6. Let p be (b\/(-6))\/(4\/12). Suppose -96*k + 112 = -92*k. Calculate the highest common divisor of k and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -116?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2459\/5313 - 4\/33. Let y = p - 3\/7. What is the biggest value in 1\/4, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1420382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/4 + 21*g**3\/4 - 21*g**2\/4 - 45*g\/4.\nAnswer: -3*g*(g - 5)*(g - 3)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(130) + (sqrt(130) + sqrt(130)*-2)*-4)\/(sqrt(40)*1*-3 + 2*sqrt(1440)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0.1. Let d = 0.4999998 + j. What is d rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -47*r**3 + 262*r**2 - 32*r + 11. Is p(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3353 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 13, -29, -125, -293, -551, -917, -1409?\n\"Answer: -3*o**3 + 15*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120485294 - -84?\nAnswer: 120485378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p**2 - 3*p)*(-5*p - 2*p + 24*p) + (2*p - 6*p + 2*p)*(9 - 7 - 2 + 284*p**2).\nAnswer: -551*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.4 (c) -4\/589 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 14 = 2*a, 0 = 3*m + 2*a - 0*a. Let t(z) = -1 - 3 + 15*z**m + 4. Let w(s) = -2*s. Give t(w(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20099 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {y: 2, j: 3, v: 1, c: 4, r: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63269 to 3 dps.\nAnswer: 0.633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 - 8*r + 25. Let t be l(-6). Let u(k) = -20*k**2 + 2*k. Let a(h) = h. Let d(m) = t*u(m) - 5*a(m). Let n(z) = -2*z**2. Give d(n(s)).\nAnswer: -80*s**4 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 7. Let y be a(6). Let l = -9 - y. Suppose 2*s + 14 = 5*i - 109, 2*i - 38 = -l*s. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(2223\/(-418))\/(-39).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m. Let p(v) = 8*v. Let j(u) = -5*p(u) - 6*x(u). Let l(c) be the first derivative of 9*c**2\/2 + 6*c + 129921. Determine j(l(a)).\nAnswer: 18*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*1*-5 - sqrt(1216) - sqrt(1216)) + sqrt(1216) + (sqrt(1216)*3 + sqrt(1216))*1)**2*-1.\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/12 - 7*v**3\/6 + 5*v**2 - 3*v. What are the prime factors of h(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and 0.043.\nAnswer: 13.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 - (-22 + 14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -198849 divided by 3\nAnswer: -66283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6351, 6360, 6391, 6456, 6567?\n\"Answer: 2*x**3 - x**2 - 2*x + 6352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 126507*x + 632530. Calculate c(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q = -4*v + 340, -5*v = 5*q - 450. Suppose -18*w + v = -16*w. Let u = 83 - w. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25735303 and 737.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (-2 + (1 + -1 + sqrt(44) - sqrt(44)))**2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 133, 294, 455?\n\"Answer: 161*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 + -364. Let z(w) be the third derivative of 3*w**2 - 5\/6*w**3 + 0*w - 1\/60*w**i + 0 - 7\/24*w**4. Give z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 + 9679*f**4\/4 - 1463495*f**3 - 366025*f**2 = 0. What is f?\nAnswer: -1\/4, 0, 1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -206*g + 201*g + 10. Determine n, given that 15 - 5 - 5*n**g + 12 + 30*n + 13 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4310 - 4015. What is the remainder when 609 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 35 + 6*b**3 + b - 3*b - 26 + 41 as t + p*b**2 + u*b**3 + d*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-27) - (-2)\/(-9). Let r be (3\/(-1))\/((-280)\/32 - -8). Suppose -14 = -2*b - 8*f + 9*f, 2*b = -r*f - 6. Sort -4, g, b in descending order.\nAnswer: b, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -1.25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose 3*a + 3 = 0, l*x - 3 - 7 = -4*a. Suppose x*m = 9*m. Solve m = i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**8\/336 + i**5\/30 + i**3\/3 - 8*i. Let g(f) be the second derivative of l(f). What is the second derivative of g(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, -412, -988, -1816, -2896, -4228, -5812?\n\"Answer: -126*u**2 + 54*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-22))\/(-2))\/(4760\/(-5712))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.071851\nAnswer: 0.0359255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 100. Let s = 74 + m. Calculate the remainder when s is divided by 22*(6 - 22\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 5 (c) -1064.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394455928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 + 6*c + 9. Determine v(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -855\/8. What is the closest to -1 in -5, 0.3, 4, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 26 + 1790 = 0. Let x = -145 + g. Solve l - x = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444151, -444604, -445071, -445558, -446071?\nAnswer: -446616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14870161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -451, -1536, -3597, -6946?\n\"Answer: -52*p**3 - 20*p**2 + 3*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 15*u - 7. Let y be v(14). Suppose 2*i = -3*x - 9, -15 = 5*x + 3*i - y*i. Which is the second biggest value? (a) -0.4 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108487 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7584, -13522, -19460, -25398?\nAnswer: -31336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20320280*-0.1.\nAnswer: 2032028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y**2 + y + 16. Is h(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2032031 (base 4) to base 15\nAnswer: -2a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 - 13. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/4, 942 in increasing order.\nAnswer: -3\/4, -0.1, 942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11114 (base 5) in base 7?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 823399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -137 (b) -3\/19 (c) -0.3 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264325?\nAnswer: 5, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 3, m: 1, k: 2, g: 5}. Give prob of sequence kx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o - 68*o + 55*o - 1496 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (12 - (5 + -10 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2731, 5508, 8285, 11062, 13839, 16616?\nAnswer: 19393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300)*-3)**2*-6.\nAnswer: -70200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*b - 5*b. Suppose 19 = 5*v - b. Suppose -4*t - 11 - 5 = 0. Sort t, v, -3 in decreasing order.\nAnswer: v, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 20. Suppose -3*g = -h + 5*h - 29, 3*g = 3*h + q. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (14\/(-819))\/((-24)\/(-6326)). Let n = -2\/351 - w. Solve n*s**3 - 1\/2*s + 1\/2*s**4 + 0 - 1\/2*s**2 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 12*m**2 - 26*m - 19. Suppose 0 = -19*q + 29 - 200. Is x(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s - 3. Let n(p) = -161*p - 28. Calculate 3*n(u) - 28*w(u).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -3\/2*c**2 - 7 + c. What is the lowest common multiple of 11 and x(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.43? (a) 0.5 (b) 0 (c) 8\/5 (d) -0.6 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*3\/6)\/1. Let p(h) = -2*h - 1. Let w be (2 - -2)\/(1 - 3). Let o be p(w). Solve -9 = -s - o*c + c, -2*s - 3*c + 15 = k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 - 14 + 15 - 3 - 16*u)*(5*u + 7*u - 9*u) to r*u + y*u**4 + l + w*u**2 + g*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(14\/18)\/(-7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:31 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 332 + -325. Let g(u) = -150*u + 144. Let i(z) = 300*z - 289. Let p(d) = n*g(d) + 3*i(d). What is the first derivative of p(k) wrt k?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138484, 138475, 138452, 138409, 138340, 138239, 138100, 137917?\nAnswer: 137684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -565064 by -141266.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/7121 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -373\/10 (b) -5 (c) -5\/6 (d) -0.2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c - 6*c**2 - 1\/4*c**5 + 0*c**4 + 0 + 1\/6*c**3. Give a(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5000 - 5005. Put -9, d, -173 in decreasing order.\nAnswer: d, -9, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/9 - 4\/(-6). Let a be (-2)\/5 - s\/(-5). Let m be 5 + -7*(-45)\/(-81). Is m less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2. Let f(y) be the third derivative of 6*y**2 + 0 + 0*y - 1\/12*y**4 + 0*y**3. Give f(x(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v. Suppose 0 = 4*g + g - 3*r - 3, -3*g - r = 1. Let p = g + v. What is p rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 0. Suppose 10*r - 20*r = -20. Solve r*m + g*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 69 = -231. Let p = o - 23. Find the first derivative of 10 - p*k - 8*k - 5*k - 3*k wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 88?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w + 96*w + 40 = 0, a = -2*a - 2*a - 6*w - 60 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 2*g**2 - 3*g**2 - 3*g. Let w(b) be the third derivative of 0 + 0*b + 0*b**3 - 3*b**2 + 1\/3*b**4. Calculate z(w(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 3. Calculate j(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13164*q**2 + 0*q**4 - 13168*q**2 + 15 + 26339*q**2 + q**4 to d*q**2 + z*q + f*q**4 + v*q**3 + y and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150069572.\nAnswer: 2, 3, 43, 103, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:48 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 18. Which is the third smallest value? (a) 0.1 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o + 3. Let k be h(-4). What is the third derivative of -163*v**3 + 219*v**k - 52*v**2 + 3*v - 3*v wrt v?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-6 - (-16 - -12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 12. Let r be s(10). Let i = 2 + r. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 1.13. Let l = t - 0.13. What is the nearest to -2 in -3, l, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*d**2 - 446865080*d + 127675736 = 0. Calculate d.\nAnswer: 2\/7, 31918934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24631227 by -43137.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5903256*d - 5903256*d + 9152*d**3.\nAnswer: 9152*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 43 = -3*o, -11 = -5*o - 3*z + 51. Suppose -o = -4*v + 23. Suppose -5*g = u - 21, -5*g + v = -2*u - 9. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 38, 75, 138, 233, 366?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.6. Let i = 0.3 + w. Let f = 42259 + -42262. Which is the nearest to i? (a) -4 (b) f (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9385)\/76957*(-6)\/(-10).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 12*a**2 - 14*a + 15. What is o(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 9*s**2 + 5*s. Let z(n) = n**3 + 9*n**2 + 4*n - 1. Let b(f) = -5*g(f) + 6*z(f). Let p be b(-9). Suppose 61 = p*r - 386. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let p(h) = -h - 108. Give 4*m(v) - p(v).\nAnswer: -3*v + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -291266 - -45?\nAnswer: -291221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(567)*2 + 3)*4 - ((sqrt(567) - (1 + sqrt(567)))*3 - sqrt(567)*3*-1)) + 2)**2.\nAnswer: 3978*sqrt(7) + 96112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3620\/539 + 338\/49. Let p = 0 - 1. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/48*42\/105.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -9, -89, -8, -3, 3 in increasing order.\nAnswer: -89, -10, -9, -8, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 47.7. Does g = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 17488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6286 + 6286.3. Let l = 0.2 + -0.3. Let p = 0.1 + l. What is the closest to 1 in c, -2\/5, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854193 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 13253 + 13301. Which is the nearest to 1? (a) -1\/212 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = -2*y - 2, y = -5*t + 17. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2880 and 127680?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 537195.\nAnswer: 2\/537195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -79\/7. Let u(v) = v**2 - 3*v + 1. Let c be u(1). Which is greater: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189976 = 10*h - 99914. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -0.5, 5, -2\/7, 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15)*25\/4. What is the nearest to 2 in 0.3, z, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 1\/2352*v**8 + 0*v + 0 + 0*v**4 + 1\/210*v**5 + 2\/735*v**7 - v**2 + 1\/168*v**6 + 0*v**3. Factor i(k).\nAnswer: k**2*(k + 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5110126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.4 times -5?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 4. Let u be l(-5). Let y = u + -4. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 35.44138mg?\nAnswer: 35441.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 554 + 561 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmbbm. Give prob of picking 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 914067?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11867.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-105))\/((-354)\/3245).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b*b**5))\/(b\/(b*b*b*b*b**(-1)))**23 assuming b is positive.\nAnswer: b**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/448 and 73\/221760?\nAnswer: 221760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 833110 divided by -416555?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67\/3 + 22. Which is the smallest value? (a) 1 (b) -1\/9 (c) -1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 7*l - 5*l**3 - 3*l + 7*l**2 - 24*l**2 - 5*l to the form j*l**3 + b*l + u + k*l**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(3 + 0 + sqrt(931) + sqrt(931))*-3 + (sqrt(931) - (0 + sqrt(931) + -2) - (2*sqrt(931) + sqrt(931) + -4)))**2.\nAnswer: 20412*sqrt(19) + 681615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.4. Let o = r - 2.2. Let d be (-81)\/12*10\/(-90). Which is the closest to o? (a) 1\/2 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12001 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11665 - 11669.6. Sort i, 5, -8\/7 in descending order.\nAnswer: 5, -8\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -573.69 - -574. Put c, -4, -1\/2, 2\/3 in ascending order.\nAnswer: -4, -1\/2, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12. Which is the nearest to 1\/4? (a) g (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-5 + -2 + 3). Suppose -y = -3*r - u, 5 - 15 = -5*u. Suppose -3*o + r*o = -8. Solve -g - o = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/639 and -22\/15.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*d + 13396267 - 2676500 = -398945. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7664*n - 209 = 7645*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - p + 1. Let k = 17 - 15. Let t(f) = 13*f**2 - 14*f**2 - f**3 + 4*f - 7*f**k - 7. Let g(r) = t(r) + 6*z(r). What is g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 divided by 164?\nAnswer: 1125\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-5\/6)*(n**(-11)*n)\/n*n assuming n is positive.\nAnswer: n**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 - -82.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 3. Let t(s) = 5*s - 4. Let n(c) = 6*d(c) - 5*t(c). Is 14 a factor of n(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2918, -2828, -2740, -2654, -2570, -2488, -2408?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/4, 158, 0.5, 0.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004634 to 4 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-7)\/3)\/7. Let y be g\/3 + (-87880)\/24. Let v = -69557\/19 - y. Calculate the common denominator of v and -5\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**4\/2 + 2*j**3\/3 + 3*j**2\/2 + 2*j + 16. Let i be c(2). Factor i*u + 3\/7*u**2 - 12\/7.\nAnswer: 3*(u - 2)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x - 10. Suppose -3*r = -x*r - 33. Calculate the remainder when r is divided by (-1 - -1) + 1 - -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {z: 7, b: 2, r: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 3*y + 3. Suppose 4*h + 26 = 5*p - 4*p, -4*p - h = -36. Let q = p + -14. Is f(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7445218 and 16?\nAnswer: 59561744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 4*u**2 - 2*u**2)*(-306 + 306 + 2*u**2) + 0*u**3 + 0*u**3 + 2*u**4 - 4*u + 4*u + u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 3. Let n(w) be the second derivative of -5*w**3\/6 - 8*w**2 + w. Let i(r) = -2*n(r) - 11*v(r). Determine i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -2022?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + y - 10. Let n be u(-5). What is the tens digit of ((-16)\/10)\/(6\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-169 + -11)\/6*6\/(-15). Solve n + d - 14 = -2*v, 0 = 5*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2709\/2322*4\/(-28)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence low when three letters picked without replacement from {c: 7, l: 7, o: 3, w: 2}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -31, -62, -105?\n\"Answer: -6*p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 36 = 16*q - 21*q, -3*b = -5*q + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-11 - -8) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h - 378 - 643 = -d, 4*d + h - 2*h = 38 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 43472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -380 - -379.793. Let u = 0.2070374 + z. What is u rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8191968*m**2 - 586450*m.\nAnswer: 16383936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/8785 + -1484673\/35140. Let r = -42 - z. Solve -r*o**2 + 0 - 1\/4*o = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4320\/126 - 21 - 12?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (413\/28)\/(1\/24 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)*a**(-3)\/a*a*a\/(a*a**3)*a*a**(1\/11) assuming a is positive.\nAnswer: a**(-197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m**3 + 630327*m**2 - 1260603*m + 630293 = 0.\nAnswer: 1, 630293\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(120)\/sqrt(4))\/sqrt(10).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/2, 5, -17, 3 in descending order.\nAnswer: 33\/2, 5, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**7\/10080 - i**6\/1440 + i**5\/160 - 11*i**4\/24 + 9*i**2. Let q(s) be the second derivative of o(s). Factor q(b).\nAnswer: -(b - 1)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10\/7 (b) -22 (c) 0 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*w, -3*t + 26*w - 51*w + 2 = -t - 21*w - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-4)\/((-72)\/(-27))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12. Let g be 1 - (-5)\/65*5. Are n and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Let o(x) = -2*x - 29. Let f be o(-17). Suppose -44 + 39 = -f*l. Put l, c, 0.1 in increasing order.\nAnswer: 0.1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/21*12\/140.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + -117 + (0 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*d - 29, -5*d = -0*g - g - 31. Suppose -d = -17*s + 15*s. Solve x + s = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15 + -14 - (-1)\/(-4) and -85\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 7. Let h be p(4). Let a(l) be the first derivative of -h + 0*l**2 + 0*l + 1\/3*l**3. Let d(i) = i**2. Determine a(d(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 1 (c) 2\/17 (d) -0.2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368, 524, 680, 836?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**2 - 2*s + 2. Let v(l) = 2*l**2 - 10*l - 11. Let n be v(6). Let z be t(n). Is ((-5802)\/15)\/(4\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-108) + (-68)\/(-18). Let o = d - 4. Let v = -7 - -13. Solve -v = -o*s - 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3085414, -3085425, -3085436, -3085447?\n\"Answer: -11*i - 3085403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 39*l**2 - 49*l - 208. List the prime factors of f(44).\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -14. Which is smaller: t or 3\/34?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(10086 - 10086 - 78*t)*(-4*t**3 + 4*t**3 + t**3) as q + u*t**4 + r*t**3 + d*t + z*t**2 and give u.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1055, -701, -347, 7?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c = -20. Let p = c + 6. Suppose -4*l + 4*n - 2*n + 78 = 0, 5*l - 2*n = 96. What is the highest common divisor of l and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**6\/2160 + 7*b**5\/360 + 5*b**4\/48 - 295*b**3\/3 - 220. Let h(q) be the third derivative of k(q). Factor h(w).\nAnswer: -(w - 15)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-530)*-15 - 1. Which is the closest to j? (a) -1\/5 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*a + 9 = -233*a. Solve -4*f = -3*f + a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 415616\nAnswer: 5\/415616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154586167 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(5*f**2 + 2*f**3 - 5*f**2)*(2*f - 7*f + 3*f + (-2*f - 2 + 2)*(-5 + 4 + 8) - 3*f + 2*f + 3*f + 2*f + 3*f - 2*f).\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k - 0*a + a, -k + 7 = a. Let s = 286 + -204. Let u = s + -83. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323)*2*3)\/(-6*sqrt(324)*2).\nAnswer: -7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 217, 438, 663, 892, 1125, 1362?\n\"Answer: 2*q**2 + 215*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (-4 + sqrt(162) + sqrt(162)*-5))**2.\nAnswer: 360*sqrt(2) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -166, -353, -540, -727?\n\"Answer: -187*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.22 + -99.78. Let a = 100.999835 + l. What is a rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from hphppppphpllhl?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/2 - 7*b**3\/6 - 3*b. What is the second derivative of i(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*i**2 + 2 + 3 in the form g*i + l*i**2 + f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*s. Let l = 37 + -295\/8. Let d = -1.7 - -0.7. What is the closest to s in d, 2\/15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 + 4*t**5 - 6*t**5 + (-7*t**4 - t**4 + 4*t**4)*(-23*t - 56*t + 49*t + 3 - 2*t - 3 - t + 1 - 1 + (t + 3*t - 5*t)*(-5 + 5 + 1)).\nAnswer: 138*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 792.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/2, 3, -5, 267, -8.\nAnswer: -8, -5, -1\/2, -0.05, 3, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 606942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7649 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40\/3 - 12. Let w be (-2)\/(-6) - (-56)\/12. Suppose 0 = -0*c + w*c. Is q at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*s - 2, 2*a = 4*a + 10. Let n be -14 + 10\/(s + -3). Let g = 1 + -1. What is the third smallest value in n, g, 2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173041 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.793 rounded to zero dps?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/59)\/l*l\/((l\/(l*l*(l\/(l\/(l*l**20)))\/l*l*l))\/l) assuming l is positive.\nAnswer: l**(1414\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 108*w**2 - 110*w - 16. Give n(-55).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - 13*l + 15*l + 12*l - 10*l - 7*l + (0*l + 0*l - 2*l)*(-2 + 0 + 3) + l + l - l + 5 - 5 - 2*l + (-3*l - 2*l + 4*l)*(-2 + 1 + 0).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60304370.8 rounded to the nearest one hundred thousand?\nAnswer: 60300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 + 2*a + 22. Let d = -2 - -14. Calculate the remainder when m(0) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628766345 is divided by 212.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.1, 0.029, 2\/3?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 65*d - 6. Let j(y) = -y**2 + 1. Let x(m) = -6*j(m) - r(m). What is the second derivative of x(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -53*y**2 + 3*y + 5. Let z(v) = -104*v**2 + 7*v + 12. Calculate -5*x(h) + 2*z(h).\nAnswer: 57*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 45\/7?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 8051, 1\/8, 23.\nAnswer: -2\/5, 1\/8, 23, 8051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w - 19*w**3 + 17*w**3 - 621 - 7*w + 5*w to the form d*w**2 + v + m*w + y*w**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -4 (c) 0 (d) -1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 134, 120, 104, 86, 66, 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 2*n**2 + 3 - 2. Let c(t) = -8*t**4 + 3*t**2 + 7*t + 3. Let p(i) = -c(i) + 3*q(i). What is the second derivative of p(v) wrt v?\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**7\/1050 - k**6\/60 + 13*k**5\/300 + k**4\/5 - 208*k**2 - 3. Find d such that j(d) = 0.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337291065 a multiple of 1299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56\/6*27\/18 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-8) - (-4 - -1). Suppose -5*u + 16 = 2*i, 3*u - f = -0*i - i. Solve 4*c = -t - 0*c, 0 = 5*t - u*c - 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let p(r) be the third derivative of 0 - 6*r**2 + 0*r**3 + 0*r + 0*r**4 - 3\/20*r**5. Determine w(p(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-5)*1*(-2)\/57. Which is the fourth biggest value? (a) 3 (b) h (c) 0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/4*u**2 + 43\/2 + 479\/4*u.\nAnswer: (3*u + 43)*(11*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/108)\/11*(-81)\/(-90)*-410.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11115821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -9, -1, 0, -5, -27, 3 in ascending order.\nAnswer: -27, -9, -5, -1, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 4. Suppose 4*l - 2 = -r. Is l equal to 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**2 + y + 1. Let b(s) = 11*s**2 - s - 2. Let m(f) = -5*b(f) - 7*g(f). Let u be m(1). Let w(r) = -4*r - 2. Determine w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37 + (28 - 47) - 34) + 72\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 2 = 13*u, -5*p - 47 = -2*u - 24 + 26 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 2*k**2 + k + 1. Let u be s(2). What is the second derivative of -4*r**2 + 5*r**2 + r**2 - u*r**2 + 2*r wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, -26, 0.5, -1, -0.01, -75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -575831\/18 + 32024. Let v = 17\/9 - g. What is the common denominator of -25\/8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5120 - -5121. Which is smaller: c or 1534?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -889863 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118487*d - 18*d**2 + 118487*d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 36784*r + 29 = 36785*r, 6 = -2*r for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0685 and 1?\nAnswer: 0.0685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26 - 22)*93\/(-4). Let r = -39 - b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*k**3 + 47\/3*k**2 - 40*k + 75\/2 + 1\/6*k**4.\nAnswer: (k - 5)**2*(k - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - s + 21. Let o be c(0). Let y = -19 + o. Factor 0*h + 0 + 2\/11*h**3 - 4\/11*h**y.\nAnswer: 2*h**2*(h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j + 18. Let s = j + 2. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10983636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 132 + 944 = 0. Let o = 899 + c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -59, -98, -137?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -332.2 (c) 4\/5 (d) 5 (e) -2 (f) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -147713? (a) 0.1 (b) 2 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 + 132. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 230595, 230543, 230491, 230439, 230387, 230335?\n\"Answer: -52*x + 230647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -273*v + 1728. Determine k(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27 + -37 + 1078 + 2?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 9 + 9*n**2 + 41*n**2 - 11.\nAnswer: 50*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s**2 + 4*s - 7. Let l(w) = 0*w - 3 + 2*w - 2*w**2 - 12*w**2 + 11*w**2. Calculate -9*l(d) + 4*r(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 433123113 (base 5) in base 6?\nAnswer: 103342005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12 and 107\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -40815 divided by -8163\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*v**5 - 47*v**5 + 3*v**5 + (0*v**3 + 0*v**3 + 3*v**3)*(3*v**2 + 0*v**2 - 2*v**2) - 6*v**5 + 2*v**5 + 3*v**5.\nAnswer: -93*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00095621387 rounded to five dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.0676939 * 17\nAnswer: 18.1507963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m + 4*q + 1, -4*q = 3*m + 4. Solve 6*i**3 + m - 4*i - 4 + 10*i**2 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 + 4*o**5 + 6*o**2 + (-o + 0*o - 2*o)*(o**2 - 185 + 7*o**4 + 185).\nAnswer: -17*o**5 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2682\/241 < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*d*w**2 - 2*b*d*w + 12*b*d + 4068529*b*w**2 + 8*d*w - 942*d wrt w.\nAnswer: -4*b*d + 8137058*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -312491*p - 4374899. Give g(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -2\/3 (b) 0.06 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -8*d + 12. Let w(a) be the first derivative of 1\/2*a**2 - 6*a + 2*a**3 + 1\/4*a**4 + 5. Give w(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(88)\/sqrt(2) + 1)**2 - sqrt(44).\nAnswer: 6*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 6\/10*(104 + 76)*(-6)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -612 + 612.1222. What is w rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15321, 15362, 15439, 15558, 15725, 15946?\n\"Answer: o**3 + 12*o**2 - 2*o + 15310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -961.7 and 2?\nAnswer: -1923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 803, 2925, 6471, 11447, 17859, 25713?\nAnswer: 35015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 295*q + 292. Let d be x(1). Find t such that -d*t**3 - 9\/2*t**2 - 3*t - 3\/4 - 3\/4*t**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -1\/2*n**2 + 2\/3*n**3 + 0*n - 29 + 7\/4*n**4. Determine t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/279703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 + 7*t**2 - 5*t + 4. Let b(r) be the first derivative of 5 - 2*r - 4\/3*r**3 + 1\/2*r**4 + 3\/2*r**2. What is -5*b(h) - 3*p(h)?\nAnswer: 2*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-8)\/((-8)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(-4))\/(13\/45656)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148032 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:58 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u**5 - 7*u**5 - 22*u**2 + 27*u**5 wrt u?\nAnswer: 840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5\/4 - 45*p**4\/2 + 597*p**3\/4 - 801*p**2\/2 + 471*p - 198 = 0.\nAnswer: 1, 2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 738?\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-27))*b*b\/b**(-3\/2))\/((b\/(b*b\/(b*b**(16\/9)))*b*b*b)\/(b\/(b*b**9))) assuming b is positive.\nAnswer: b**(-671\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345222677?\nAnswer: 3, 409, 1096351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112 and -34.\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9272 is divided by 143?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1340 + 1987. Let p = m - 646. Which is the nearest to 0.1? (a) -0.4 (b) p (c) -0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 + 4*s**2 - 4*s**2 + (-s**2 + 5*s - 5*s)*(-20*s + 20*s + 13*s**2).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c4 - 33?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1169 - -547.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 999 + -831. What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10106*m = -48182 - 244892 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -30. Let v = t - 15.5. Let f = 0.5 - v. What is the nearest to 0 in -2, f, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 953*n**3 - 2656*n**2 - 11*n + 11. Let z(b) = 191*b**3 - 531*b**2 - 2*b + 2. Let v(l) = 4*f(l) - 22*z(l). Find the third derivative of v(d) wrt d.\nAnswer: -2340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7240 + -666063\/92. Let c = -18025 + 288501\/16. Calculate the common denominator of o and c.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 12*x + 6. Let m be f(8). Let i = m + -27. Suppose 0 = -3*a + 8*a - 50. What is the lowest common multiple of a and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -2*h**5\/55 - 2*h**4 - 50*h**3\/3 - 604*h**2\/11 - 888*h\/11 + 5495. Find r such that n(r) = 0.\nAnswer: -37, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12. Solve -4*s + r = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Let c(r) = r**3 - 6*r**2 - 2*r + 4. What is c(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/759*(0\/1 - 4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/22 - 651*(-2)\/(-22). Let g = 360 - w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2326, 3337, 5012, 7345, 10330, 13961?\nAnswer: 18232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 28412509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.72558643 * -4.\nAnswer: 6.90234572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49.03489kg?\nAnswer: 49034890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10772*s + 10714*s + 812 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*m + m - 10, -3*u - 15 = 0. Suppose -16*q = 461 - 541. Suppose 2*h + 835 = 2*o + o, m = o + q*h - 250. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -6. Let n be (26 - 19) + 100\/(-14). What is the closest to -1 in 2\/27, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 278*d - 15480. Give y(77).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 4*(sqrt(1573) + (sqrt(1573)*2 - sqrt(1573)))*-3)**2.\nAnswer: -5436288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -973 + 2341. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 40 - (79 - 100)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9, -2\/15, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*q + 35. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.5 and -8184592756.\nAnswer: -8184592766.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49545 and 70464?\nAnswer: 3170880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39100928 and 512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -54. Calculate the remainder when 39 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 38*w + 104 - 65*w - 144 + 17 in the form i + q*w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -23. Let u(l) = -l**3 + 2*l**2 - 4*l + 2. Let o be u(2). Let t = q - o. Which is the third smallest value? (a) -3 (b) 4\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(-4*v + v + 4*v) + (5 - 2 - 1)*(-3*v**2 + 6*v**2 - v**2) + 498*v**2 + 1462*v**2 - 424*v**2.\nAnswer: 1541*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3330*x + 1066*x + 103*x)*(2 - 4 + 0 - 2 + 4 - 4 + 0 - 2 + 0 + (5 + 0 - 3)*(1 - 3 + 4)).\nAnswer: 4322*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*b = -3*g - 22, -4*b = 16. Find the first derivative of -10 - 4 + g*r**2 + 4 - 8 wrt r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440292038 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*r)*(2 + 1 - 2) - 11*r + 8*r + 7*r in the form b + z*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.31084 - -5.28726. What is a rounded to 1 dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2051211 + 2?\nAnswer: -2051207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251061\/4 - -62766. What is x in 0 - n*x**2 - 3\/4*x = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0403656999 to five dps.\nAnswer: -0.04037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85832 (base 10) to base 7.\nAnswer: 505145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/10)\/((-2)\/(-10)). Let o(w) = -3*w - 4*w + c*w. Let b(q) = 3*q. Let m(t) = -7*b(t) - 5*o(t). Let a(z) = 5*z**2. Give a(m(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/11 (b) 2\/13 (c) 8 (d) -2\/5 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 4*z**2 + z**4 + (4*z - z - 2*z)*(4*z**3 - 3*z**3 - 3*z**3) + 65*z**4 - 270*z**4 - 62*z**4 as q*z**4 + m*z**3 + k*z**2 + v + p*z and give q.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**2 - 3*f - 5. Let o(m) = -473 - 504 - 4*m - 4*m - 15*m**2 - 8*m**2 + 963. Calculate -6*o(a) + 17*z(a).\nAnswer: 2*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 27*w**2 - 103*w - 122. Determine a(31).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3\/2*b**2 + 4*b + 3\/2 = 0.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 1877549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(637) - (sqrt(637) + -2 + sqrt(637))*-3) + 2)*5)**2*6*1 + -2.\nAnswer: -73500*sqrt(13) + 4685698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9594 divided by -3198\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + u**3 - 9*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from oyooyyyoooyyy?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(19))**2 + sqrt(95)\/(sqrt(45)\/sqrt(9)))*-5.\nAnswer: -115 - 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48, -204, -464, -828, -1296, -1868?\n\"Answer: -52*y**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(2*l**4 - 2 + l**5 + 2).\nAnswer: 4*l**5 + 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3339 - -3340. Which is the nearest to -0.15? (a) -2\/3 (b) 0.4 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-11 - (-69 - -35)) + -58).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224558?\nAnswer: 2, 7, 19, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24017.\nAnswer: 7, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 8:41 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r + 4 + 13*r - 4.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 354?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5 - 3932937*z**4 - 15731700*z**3.\nAnswer: -3*z**3*(z + 4)*(z + 1310975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x + 1462. What is the remainder when d(0) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153.16 - -153. Let v = -3687.550033 - -3687.39. Let g = i - v. What is g rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4\/7 + 1\/7*l**2 + 1\/7*l**5 - 5\/7*l**4 + l**3 - 8\/7*l = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 = 13*o - 784 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 102 - 31*j**2 + 178.\nAnswer: -31*j**2 + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.68 - -10.68. What is the third biggest value in 0.4, -0.5, 13, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooso when four letters picked without replacement from ssoooooroo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3114, -4728, -6342, -7956, -9570, -11184?\nAnswer: -12798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*k + 3*u - 4*u, 10 = -5*u. Let b be 4\/(-2) - (k - -2). Let w be b\/4 - 123\/(-6). Solve -2*x - w = -6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-2196)\/444 - (-8514)\/74. Solve 23*l + 0 = -x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000317035228 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5143 and -0.012?\nAnswer: -0.0061716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t - 1. Let n = 8 - 14. Let p(y) be the third derivative of -7*y**4\/24 - y**3\/6 + 203*y**2. Suppose -3*r + 6*r - 15 = 0. Calculate n*p(q) + r*s(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p + 123. Let s be l(-11). What is the third derivative of 25*b**s + 8*b**2 - 4*b**2 + 74*b**4 + 34*b**2 wrt b?\nAnswer: 1776*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (24 - 30 - (4 - 1 - (-5 - -40)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*y - 1404 = 45*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*q = 223*q - 435*q + 2*d - 13 + 51, -31 = 4*q - 5*d for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -112?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.29 + -45. Let g = -9.29 + y. Let m = g + 9.924. What is m rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 20. What is the remainder when 22 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4\/4 - 20*l**3 + 145*l**2\/4 - 35*l\/2.\nAnswer: 5*l*(l - 14)*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t. Solve t*b + 15 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.3, 3, 2\/3, -2\/7, -43 in increasing order.\nAnswer: -43, -0.3, -2\/7, 1\/7, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(70)\/(sqrt(10)*2)) + (sqrt(200)\/(2*sqrt(4)))\/sqrt(10).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**2. Let t(l) = 2*l - 13. Calculate s(t(c)).\nAnswer: -32*c**2 + 416*c - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6\/4)*76\/608?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29008 greater than or equal to -29008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3) - (8 + -6). Which is the nearest to k? (a) -4 (b) -18\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 11*o**3 - 2*o**3 + 26 + 2*o to the form x*o**2 + v + m*o**3 + i*o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g. Suppose g*a = -4*a + 60. Let z be (54\/3)\/((-3)\/(-20)). What is the greatest common divisor of a and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 divided by 48?\nAnswer: 1255\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 20 = -10*b + 4*j, -b + 6*j + 34 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/46*-5*(-27)\/(-90)*32?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0733 and -49694.\nAnswer: -49693.9267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 - o + 2. Suppose 3*v - 2*x = 2*v - 7, -4*x = -4*v - 12. What are the prime factors of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 times 3?\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 1}. What is prob of sequence kddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) -2.11 (c) -0.111 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14022.087 months in decades?\nAnswer: 116.850725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**2 - 27*w - 205. Is a(36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by -2.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1751 - -22767\/3502. Let q(p) be the first derivative of 0*p - 10 + 2*p**3 + y*p**2. Find the second derivative of q(v) wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/41))**(2\/15) assuming s is positive.\nAnswer: s**(4\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 13. Suppose 2*o + 371 - 355 = 0. Determine n(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20572927 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2240117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34*(5332\/48 + -111)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 48*c**2 + 89*c + 52. Let u be b(46). What is the fourth biggest value in -2\/9, u, -3, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/259800483 and 6\/7?\nAnswer: 1818603381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 27 = -s, -2*s = 4*h - 3 - 27. Suppose -4*p = -s*p. Solve -i + 3 + 0 = p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -712, -2930, -6628, -11806, -18464, -26602, -36220?\n\"Answer: -740*p**2 + 2*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 61.66 - -14\nAnswer: 75.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -73*b + 4. Suppose 3*t = 55 - 49. Suppose -t = 29*p - 27*p. Is 11 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-17)\/((-340)\/104))\/(1\/665)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1892 - 2d?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*h - 4*i, 2*i - 3 - 2 = -h. Let w = -3 - h. Suppose f = w, y - 3*f + 1 = -3. Solve -3*z = -z + y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**8\/168 - 7*w**5\/60 - w**2. What is the third derivative of g(o) wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 + 0*o**2 + 4*o**2 + (-2*o - o + 2*o)*(3*o + 0*o + 0*o) to the form y*o**2 + k*o + c and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52526334 (base 7) to base 12.\nAnswer: 15a3980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1*-1*172290\/9. Suppose -12570 - i = -o - y, 2*o - y = 140000. What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9120 divided by 1140.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 4028?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5\/7 - 19119*a**4\/7 + 30566229*a**3\/7 - 333919113*a**2\/7 = 0?\nAnswer: 0, 11, 3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -2. Suppose k*a - 13*a = 62. Let n be (a\/(-11) + -3)*5\/10. What is the third smallest value in 3\/4, 2\/5, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -178\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2747*d**3 + 9*d + 22 + 186 - 209 wrt d.\nAnswer: 16482*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 37. Which is the smallest value? (a) -3 (b) p (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (80\/(-12))\/5*-3. Let g = -5 + w. Let m(j) = -28*j**3 - j**2 - j - 1. What are the prime factors of m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15909537 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 10*w**7\/147 - 2*w**6\/35 - 41*w**5\/35 + w**4\/7 + 24*w**3\/7 - 9*w + 67. Determine b, given that v(b) = 0.\nAnswer: -12\/5, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 - 28727*k**3\/3 - 1596*k**2 = 0.\nAnswer: -1\/6, 0, 4788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485867398*g**2 - 376*g - 830986.\nAnswer: 971734796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from abaabbbbaabaa.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1901090.191 and -5.8393?\nAnswer: 1901084.3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/640 and -57\/640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293404917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -0.4. What is the closest to 0.1 in c, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4318 and 1016.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 0, t + 5 = 3*o - 15. Let n be 15\/25 - 53\/o. Let k be -2*1*n\/(-16). Which is the nearest to 1? (a) k (b) -0.3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.68? (a) -0.4 (b) 0.596 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**4 + 169975*k**3 - 792990*k**2 + 1132740*k - 453080 = 0. Calculate k.\nAnswer: 2\/3, 2, 11327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -9 + (-6 - -1 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-10)*x**(-2\/3)\/x*x*x)**(17\/4))**48)**(-1) assuming x is positive.\nAnswer: x**1972","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 73. Suppose -3*h + 6*f - 4*f + u = 0, 2*h - 22 = -4*f. Let i be 2\/h + ((-678)\/120 - -5). What is the nearest to 0 in -2, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159.1 - 173. Let x = -5.9 - l. Put -10, x, 0.4 in ascending order.\nAnswer: -10, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 9*l - 5*l - 16, 2*i - 4*l + 16 = 0. Solve -5*k - 4*x - 6 = -5, i = 5*k + 5*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**2 - 19*k - 45 + 0*k**3 + 15\/2*k**4. What is the first derivative of u(v) wrt v?\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -976a77?\nAnswer: -976a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7) + -2)*-6 - 1*sqrt(63)*6.\nAnswer: -24*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 33*v - 5. Let q(b) = 16*b - 2. Let z = 4492 - 4490. What is z*w(j) - 5*q(j)?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/2959?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 5*g + 3*d - 5, 11*g - 2*d - 4*d = d + 414 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-72)\/(-18) - (-204)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 20826276.\nAnswer: 20826276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/13402 and ((-5)\/10)\/(12\/(-171)*4\/8).\nAnswer: 26804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -301.\nAnswer: -120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1613602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 2:25 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 29*r - 2. Let n be z(7). Let h(s) be the second derivative of 2\/3*s**3 - 1\/4*s**4 + 0*s**2 - s - 1\/20*s**n + 0. Determine h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:41 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4389*n**3 + 8098*n**3 - 3678*n**3.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 7908329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/48*45*(-9)\/30?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*f = -0*p - 476, -4*p + 937 = 3*f. Calculate the least common multiple of p and 18.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -18*i + 138. Solve -18*k + i = -17*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -12, -16.\nAnswer: -16, -12, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - (3 + -19))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, s: 2, q: 1, f: 2, e: 1}. Give prob of sequence sqe.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7384159*i**3 - 4*i**2 + 143*i - 131849.\nAnswer: 44304954*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -18. What is the hundreds digit of (-18)\/24 + 539\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15 - 1)*(-5*d + 8*d - 5*d + 2).\nAnswer: -26*d + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/149 + -9925\/894. Calculate the common denominator of (-50)\/104 - 2\/(-4) and z.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453477185?\nAnswer: 3, 5, 43, 751151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*n + 10. Let h be (-2)\/n*2 + 128\/(-24). Let a(u) = -2*u**2 - 11*u - 1. What is the units digit of a(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 4 + 8*h + 3*h**2 - 2. Suppose 2*r + x + 6 = 21, -r + 3*x - 3 = 0. What is the least common multiple of r and w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + x - 110232 - 181207 = 0, 0 = 4*h + 3*x - 291445. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 11:48 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 69986.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 2985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*l**4 + l**3 + 3*l**4 + 4*l - 2*l**4 + 0 in the form q*l**3 + x*l + y*l**4 + z + d*l**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 10. Suppose -o - 3*o = -20. Suppose o*d - d + 8 = 0. Put d, 3, m in ascending order.\nAnswer: m, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(700\/5)*2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3330411224 (base 5) to base 15\nAnswer: -98bac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 1. Let s be (x\/6064)\/((-3)\/(-5274)). Let r = s - -2\/379. What is the common denominator of r and 77\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -79*v**3\/2 + 122*v**2 + 89*v. What is the first derivative of j(x) wrt x?\nAnswer: -237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(15\/8))*m**(-2\/67)*m assuming m is positive.\nAnswer: m**(-485\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*((-2)\/3)\/1. Suppose 0*b + 14 = 14*b. Let k be (t\/(-10))\/(b + (-30)\/25). Solve j - 12 = -k*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1\/6) + 3. What is the units digit of 17 + p*6\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 3\/4 (c) -0.3 (d) -6 (e) 130.6651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9080293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.535175 and 0.1.\nAnswer: -0.1535175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*n + 14, -8 = -5*g + 3*g + 2*n. Let o be (-15)\/(-5) + 0\/1. Suppose -i = -o + g. Solve i*u - 1 = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2685*b**3*d**3*i - b**3*d**2*i - 2*b**3 - 10*b**2*d**3 + 2*b*d**2*i + 3121*d**2*i - 4 wrt d.\nAnswer: 16110*b**3*i - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 0.95. Suppose 0 = -5*k + 5*d + 8 + 17, 3*d = -2*k + 10. What is the closest to -2\/5 in f, k, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 57*b**2 - 3*b + 24. Let u(s) = 8*s**3 - 508*s**2 - 26*s + 216. Calculate 26*r(c) - 3*u(c).\nAnswer: 2*c**3 + 42*c**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 12*d**2 - 9405*d\/2 + 141086.\nAnswer: (d - 53)*(d - 44)*(d + 121)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 13114307900 to the nearest one million.\nAnswer: 13114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21057524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4871733 or 4871736?\nAnswer: 4871736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 41 and -58685437000.\nAnswer: -58685436959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12) - 23\/(-4). Let p be ((-2)\/4)\/((w\/4)\/(-3)). Let v = -115.5 + 116. What is the closest to p in -2\/5, -4\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*60\/105)\/(12\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-14))**(4\/5)*(u*u**(6\/7)*u*u*u)**48 assuming u is positive.\nAnswer: u**(1716\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -338?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, 0, 850, 1 in decreasing order.\nAnswer: 850, 3, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:18 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrli when four letters picked without replacement from {l: 3, i: 4, b: 2, k: 2, r: 3, z: 4}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3934 + 529. Let w = i - 35771\/8. Are -8 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(50\/(-2260625)). What is f rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (6 - (18 + -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -40, -75, -124, -187, -264, -355?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21033*w - 12. Let f(c) = -2*c. What is h(f(l))?\nAnswer: -42066*l - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4389526 and 4748?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 854\/899 or 0?\nAnswer: 854\/899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/2 - 3*t**4 - 51*t**3\/2 + 58*t**2 - 30*t = 0.\nAnswer: -6, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629888668.\nAnswer: 2, 113, 1393559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 503, -3\/7, 2\/21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 75798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29 + 20*b**2 + 22*b**2 - 7*b**3 + 6 + 3*b**5 - 44*b**2 - 12*b**5 wrt b.\nAnswer: -540*b**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-17 - (-17 + 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-66))\/(12*(-1)\/36)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u - 61. Let o be c(10). Let k(z) = z**2 + 2*z + 2. Let t be k(-4). Solve o*g = 4*g - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:04 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 2155 + 7*r - 13*r.\nAnswer: 2*r + 2155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*y + 11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 - 4*h**3 - 14*h**2\/3.\nAnswer: 2*h**2*(h - 7)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 50*z**3 - 2*z**2 + 1. Let q be n(1). Let y = q + -35. Let v = -2710 + 2712. Calculate the highest common divisor of y and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1734, -1738, -1744, -1752?\n\"Answer: -v**2 - v - 1732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-6)\/3)*(12\/(-1))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = 11*v + 5*k + 55, -537 = -v + 2*v + 38*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2098*l + 2095*l + 3*z + 39 = 0, 5*l = 6*z + 77 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2910*n - 2912*n + 715 + 110)*(-6 + 3 - 7).\nAnswer: 20*n - 8250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/616 and -81\/15400.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 26*h - 23. Let n be q(-25). Let t be (n + -5)\/3 + 5. Solve -26 = 5*a - 3*v + 5, -t*a = -v + 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 952 = 32*h. Is (26 - h)\/(6\/(-13323)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let j(u) = -u + 2. Let n be j(5). Let g be z(n). Let a be -2*(-3 + 4) + -1. Put g, a, 0 in decreasing order.\nAnswer: g, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.02 * 173740.\nAnswer: 177214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2576*o + 2*m = -2579*o + 32, 159*o - 5*m = 586 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74378*l**2 + 2*l + 69131 wrt l?\nAnswer: -148756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0\/(-1)) + 4. Let h be (-20)\/25 + (-148)\/(-10). What is the units digit of 234\/h - a\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1163582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25543 - -49126. What are the prime factors of v?\nAnswer: 3, 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1736 + 48207. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23694691*m**6 + 15*m**4 + 168540057*m**2 wrt m.\nAnswer: 2843362920*m**3 + 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 132*y**2 - 128*y**2 + 59)*(2*y - 3*y - y).\nAnswer: -8*y**3 - 130*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*c - c**2 - 51*c + (-1 + 1 - 2*c)*(-c + c + c) - 2*c**2 + 0*c**2 - 3*c**2 - 3*c**2 + 0*c - c - 2 + 5*c**2.\nAnswer: -6*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -13)\/(-2 + 0). Let d = 7 - r. Solve -u - 2*q - 9 = d, u + 4 + 1 = -q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 170, 170, 162, 140, 98, 30, -70, -208?\n\"Answer: -d**3 + 2*d**2 + d + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623985 times 150?\nAnswer: 93597750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t*v**3 - 749*t*v - 6*t + 230*v**5 + v**2 wrt v?\nAnswer: 24*t*v + 4600*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2201 in -3.25, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756732 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 3*m**3 + 91*m**2 - 91*m**2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 - 5*o + 5. Let s be h(2). Let d(b) = 4*b**2 + 2 - 1 - 3*b + s*b - 9. Is d(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11361149 from 69.7.\nAnswer: -11361079.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-374)\/(-170))\/(((-15)\/3)\/(-25)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, -1, -4, -19.9 in descending order.\nAnswer: 0.34, -1, -4, -19.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 2*g**2 - 5*g - 3. Suppose 2 = -4*s - 10. Let t be q(s). Solve o = -0*o + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110.955 - 1.045. Are 0.02 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 2. Let p be o(-5). Let t = p + 13. Suppose t*s - 2*s = 48. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 11531*x**2 - 35 + 0 + 11618*x**2 in the form w*x**2 + l + u*x and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/120 - j**5\/12 + 2*j**4\/3 + 9*j**3\/2 + 5*j**2 - 236. What is t(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 7*t. Suppose t = -2*g - g + 141. Let f = g - 32. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-43865417\nAnswer: -17546166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-528)\/33*19\/76*19\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, d: 1, y: 4, q: 1, n: 3, z: 3}. Give prob of picking 2 y and 2 r.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(100)\/sqrt(2) + 3 + 2 - 3*(sqrt(72) - (sqrt(72)*2 + -3) - sqrt(72) - -2*(-1 + sqrt(72)))**2.\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 632870998 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 43*h. Solve 4\/5*m**5 + 0*m**2 + 0*m**4 + h*m - 4\/5*m**3 + 0 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 8*a + 5. Let l(s) = 13*s**2 - 22*s + 14. Let j(n) = -4*l(n) + 11*o(n). What is j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 12815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2949482mm in kilometers?\nAnswer: 0.0000002949482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25198, -201487, -679962, -1611709, -3147814?\nAnswer: -5439363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/9912 and 80\/30136197?\nAnswer: 241089576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -58.191\nAnswer: -2.90955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2)*(-12)\/(-18). Let w be 1\/b*3040\/(-20). Let p be 10\/35 + w\/70. Put 0.1, p, 1\/9 in decreasing order.\nAnswer: 1\/9, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + 3*(-3 + sqrt(208)*1)**2*-1.\nAnswer: -648 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-26)\/8 - (-99)\/33)*-24. Suppose 0 = -8*j - i + 22. Solve 3*p - 5 = j*f - f, -4*p = -4*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15181 + 40681. Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 12*i - 28. Let x be p(-9). What is the closest to x in -2, -2\/7, -102, 3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 2290.\nAnswer: 50380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4130 - 4129. Which is the third biggest value? (a) -0.1 (b) -2\/17 (c) r (d) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011000 - 111?\nAnswer: 10000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -107*p**3 - 3*p**2 - 5*p - 91. Give j(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*(2 + sqrt(171)) - sqrt(171)) + 4*5*(-1*sqrt(304) - sqrt(304)))**2*3.\nAnswer: -9570*sqrt(19) + 1198788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 - -215. Let s be (3\/(-2))\/(27\/(-90)). Suppose -2*n - 4*x = -34, s*n = 3*x - 47 + 132. Calculate the remainder when f is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 31*l = 36*l - 65*l + 6, -368*g - 3*l - 736 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2. Let i(j) = -j**3 + 3*j**2 + 5*j - 6. Let n be i(4). Calculate w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + ((sqrt(77) + (sqrt(77) - (sqrt(77) + -2*sqrt(77))))*1 - sqrt(77)))\/sqrt(7) + 5*(0 + sqrt(539))**2.\nAnswer: 3*sqrt(11) + 2695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*48\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 491*v**2 - 3*v + 3. What is the units digit of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 85*p = 25*p + 1700 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1234716 and 2184.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1357*k + 2710*k - 1354*k. Let q(x) = 9*x - 3. Give j(q(t)).\nAnswer: -9*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 138, 0.1, 29\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*z**2 - 4 - 9*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -42. Suppose 0 = -10*i - 25 + o. Suppose -k - v = i*v - 20, -4*v = -2*k + 96. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {p: 1, g: 9, j: 1, s: 5, m: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45382, -391657, -1331548, -3161863, -6179410, -10680997?\nAnswer: -16963432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 12. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002605 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3952 or 75391?\nAnswer: 75391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 47*12\/(-1176) + 1\/2. What is the nearest to 1 in 0.4, l, -5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190460 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 - 14643*w + 14644 = 0.\nAnswer: -14644, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 23 = 5*z, 2*z - 5*c + 1 = -2*c. Let a(m) = m**2 + 4 + 5*m**2 - 8*m**2 + 3*m**2 + z*m. What is a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 14, g: 5}. Give prob of picking 3 q.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 5:54 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 12. Suppose 0 = u*d + 8, 0 = -r - 5*d + 1 + 20. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29374 + -20255. Is c 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 47788 and 226330.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(3*sqrt(133) - sqrt(133))\/sqrt(7))**2*-3.\nAnswer: 22800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8216\/(-948) - (-1 - 8))\/(((-9)\/(-3))\/693).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -96, -197, -348, -555, -824, -1161, -1572?\n\"Answer: -u**3 - 16*u**2 - 2*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 61 = -i - q, 0 = -4*i + 2*q + 82. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52819 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.97 - 1.51. Let u = -0.58 + i. Let h = u - -0.06. Which is the second biggest value? (a) -1 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13013112 (base 4) to base 15.\nAnswer: -897c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, b: 2, g: 4, j: 1, c: 2}. Give prob of picking 1 e and 1 g.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2519322*z**3 + 4910098*z?\nAnswer: 15115932*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*s = 88, -u - s = -3*u - 33. Let y = u + 19. Suppose -3*j = -2*p + 44 - 15, y*p - 36 = -4*j. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbwwbjwbwjwjbbj. What is prob of sequence jw?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - (85 - -21)) + -56 + -7?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 3 = 36. Suppose 0 = 5*f + c*i - 875, -5*i = -3*i - 10. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -351?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/35 + 36\/28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3 + 5 - 1 - i. Let g be c(-1). Suppose -718 = -g*k + 104. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -413 * 1760248.\nAnswer: -726982424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**4 - 2*p**4 + p**4)*(-p - 280 - 288 + 586).\nAnswer: -13*p**5 + 234*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33146375080859 + 3.\nAnswer: 33146375080862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14)*(h**(-16)*h)\/h*h**(-2\/3)*h*h*h**(-7)\/h assuming h is positive.\nAnswer: h**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:59 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 356\/22 - (-16)\/(-88). Suppose 6*o - 3*o = -105. Let p be (-4473)\/o + (-2)\/(-10). What is the highest common divisor of c and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(363) + sqrt(363)*2*2) + 5 + 6*(sqrt(135)\/(sqrt(9) - sqrt(81)))\/sqrt(5))**2.\nAnswer: -9930*sqrt(3) + 2958172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4270 - 698 = -9*m. What is the least common multiple of m and 7?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6 - 207\/(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201012211101 (base 3) in base 2?\nAnswer: -1011100010101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 = -1. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1314396 or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3351082948 take away -5?\nAnswer: 3351082953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0 + x**2 - 2\/3*x**3 + 1\/24*x**4 + 0*x + 1\/120*x**6 + 1\/12*x**5. What is b(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 5*h - 32 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3940, 7883, 11826, 15769?\n\"Answer: 3943*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 + q**2 - 104*q. Let v(l) = 4 + 5*l + 1 - 4. Determine -3*u(r) + v(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5010361*f**5 - 3*f**3 + 33310719*f**2?\nAnswer: -300621660*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 0 (b) -4 (c) -13.665 (d) -0.2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74893170 divided by 7489317?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -9, -0.3 in decreasing order.\nAnswer: 5\/3, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (357\/36 - 10)*(1 - -2). Let x = 6 + -4. Let d = x - 2. Which is the smallest value? (a) u (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) + (-5)\/20. Let g(n) be the first derivative of -9*n**3 - 6 + 8*n**3 - 3*n**3 - n. Give g(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - 1 + 1)*(171 + 12*f - 322 + 116) to b*f**2 + u*f + d*f**3 + g and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.9*-1530\nAnswer: -5967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1819 and 6978466.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (432\/30)\/6 - (-4)\/(-10). Suppose -c*o + 4*i = -1130 - 4104, -7839 = -3*o + 3*i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184\/(-16) + 9\/6. What is the hundreds digit of -9*((-62)\/5)\/((-6)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, l: 3, x: 3, t: 1}. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 48.6. Let u = -19.5 + n. Let f = u + -8. Put f, 4\/9, 4 in ascending order.\nAnswer: f, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**5\/10 + 263*u**3\/6 - 195*u**2\/2 - 133*u + 1. What is the derivative of q(b) wrt b?\nAnswer: -6*b**2 + 263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425488231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202120011012 (base 3) to base 5.\nAnswer: 100422313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20485 + -2704151\/132. What is the common denominator of (-18)\/(-81)*13\/(-12) and r?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000001000001101101 (base 2) to base 13\nAnswer: 432aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 27*z**4 + 507*z**3 - 141*z**2 - 507*z + 114 = 0?\nAnswer: -19, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.27 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.3. Let y = 52.3 + -52.209. Let o = y + -2.091. Sort -0.1, p, o in ascending order.\nAnswer: o, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (0 - (-4)\/4*3). Solve 4*f - z = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/3*33\/(-22). Let o = 2600 - 2598. Which is the closest to 0.12? (a) -5 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 590*f**2 + 695*f + 6350. Is q(-9) a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6603 and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0*m - 1\/2*m**4 - 3*m**2 + 0 - 1\/30*m**5 - 3*m**3. Let i(z) = 0. What is z?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f - 3 + 2 + 6*f. Let v = 24 - 23. What are the prime factors of b(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 357 = -2*g. Suppose 4*k + g*x + 146800010 = 19*x, -4*k = -x + 146799995. Round k to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4371758050570 from 0.1.\nAnswer: -4371758050569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293668759 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j, q + 53*j - 1 = 51*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -929fb (base 16) in base 15?\nAnswer: -bce31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -3 - (0 + -5)) + (-5146 - -5158).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-7)*(-6)\/5. Let n = o - -14. What is the least common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/714)\/((-230)\/2760)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.3 to 0 decimal places.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**3 - 2*v**2 + 3*v + 15. What is the hundreds digit of z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*m - 8 - 10, 5*f = 10*m - 117 + 132 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 3 = -3*q. Suppose 0*c = -c - h + 9, 0 = -5*c + 4*h. Let g be (-1)\/4 - 148\/(-16). Solve -g = -c*p + q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -441 + 527. Let c be ((-719994)\/4)\/1 - 129\/i. What is c rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jdjjjjfjjjfjjfjffj.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1303, 0.3, 5\/2, 1\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*x + 10, -5*x + x + 4*d = -16. Sort x, -2, 3 in descending order.\nAnswer: 3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 18*k + 16. Let w be z(-16). Let f(r) = -4*r - 56. Find the common denominator of -50\/11 and f(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2736085, 2736142, 2736199, 2736256, 2736313?\n\"Answer: 57*n + 2736028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*u - 155*u - 63 = 0. Factor -215*j**2 - u - 14 + j + 23 - 6*j.\nAnswer: -5*j*(43*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/15)\/((-4)\/324) is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1803.5?\nAnswer: 5410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2886834 + -6393.37.\nAnswer: -6393.0813166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309020183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1466 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 5*d = 20*l - 2999, -2990 = -2*l - 4*d. Is 44 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 17 = -5*p + 3*m, 3*p = 2*m + 13. Let i = -293 - -492. Let z = i - 198.98. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11583*n**4 - 33*n**2 - 54*n**3 - 9*n**3 + 3*n**5 + 11556*n**4.\nAnswer: 3*n**2*(n - 11)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 6. Let p be j(-3). Suppose 5*l - 3*y + 87 - p = 0, -l + 4 = 4*y. Let w be l*(-3 + 16\/6). Solve -3*h - 4*f + w = 0, 5*f + 1 = -3*h + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and 5156948037.32.\nAnswer: 5156948037.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24550*q - 24445*q - 5880 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 - 3*g**3 - 8 in the form z*g**2 + t + b*g + d*g**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1879080*y**3 - 2412059*y**2 wrt y.\nAnswer: 11274480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 46\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35858 (base 10) to base 7.\nAnswer: -206354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 5*x**2 + 0 + 0*x**6 + 0*x**4 + 1\/105*x**7 + 0*x - 1\/12*x**5 + 0*x**3. Find the third derivative of r(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -35, 2\/11 in decreasing order.\nAnswer: 2\/11, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = -2*v - 81, 4*v + 152 = 4*f. Is (-1304)\/v + (-2)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -10, -2, 22, 68?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 - 159. Solve 2*k + o*k - 41 = -4*i, -4*i + 5*k - 9 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/2 (c) -24 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwigjgjuwj. What is prob of picking 1 w and 1 i?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 5*j + j - 5*j)*((-2 + 1 - 1)*(-10 - 1 - 1) - 79 - 116 - 114) to the form r*j + m and give m.\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.512 * 0.7038.\nAnswer: 0.3603456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000260276398 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28698 is divided by 308.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 1.8. Sort 1\/2, r, 1\/8 in descending order.\nAnswer: 1\/2, r, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13429?\nAnswer: 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140879 divided by 3.\nAnswer: 380293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**5 + 480*c**4 + 9080*c**3 + 11280*c**2 - 366300*c + 712368 = 0.\nAnswer: -97, -17, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7896\/(-27) - (-764)\/1719. Which is smaller: -55 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730320 and 33252?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -14*n**5\/5 - 46*n**2 - 5*n + 6. Let l(p) = 94*p. Determine l(s(f)).\nAnswer: -15792*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/3, 0.13, 0 in ascending order.\nAnswer: -16\/3, 0, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11)**(19\/5) assuming x is positive.\nAnswer: x**(209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/54 + (-88)\/90 + -2 and 67\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1580 divide 502966140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0673 - -0.1673. Let p = 0.7 + -0.1. Let u = -0.7 + p. Which is the closest to y? (a) 2 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.03 + 0.03. Let x = 29 + -28. What is the nearest to x in h, 1\/4, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 31899*a - 5. Let y be o(-2). Is (y + (-3 - 0))*(-1)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -5*f + 0*f**3 - 47\/6*f**4 - 23\/6*f**7 + 0*f**2 + 15 + 0*f**5 + 0*f**6. Find the third derivative of w(r) wrt r.\nAnswer: -9660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6*g = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, -41, 2\/19 in decreasing order.\nAnswer: 2\/19, -0.4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/13*f + 36\/13*f**2 + 2\/13*f**3 + 0.\nAnswer: 2*f*(f + 2)*(f + 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2\/407473, -27, 1\/3 in descending order.\nAnswer: 11, 1\/3, -2\/407473, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 - -235. Is 1*26*(d - (-135)\/18) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 588*m + 5266. Calculate a(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(sqrt(5) + 2)**2.\nAnswer: -18 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*b**2 - 3*b - 55*b**2 + 3*b in the form r*b + c + y*b**2 and give y.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1067, -2152, -3253, -4370, -5503, -6652?\n\"Answer: -8*r**2 - 1061*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 15*q**2 + 19*q - 17. What is the remainder when l(14) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2145617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 + 36*d - 11. Let y(c) = -7*c + 2. Give -2*l(o) - 11*y(o).\nAnswer: 2*o**3 + 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -33 (b) -3\/4 (c) 0.3 (d) -56\/17 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/2 + 3*k**3 + 12. What is the third derivative of t(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1663 - -1704) + -8 + -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)\/r)**(1\/39) assuming r is positive.\nAnswer: r**(-2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*u**2 + 25*u**2 - 58*u**2 + 2*u**2 - u**2 + 0*u**2 + (3*u - 5*u + 0*u)*(2*u - u + u) to the form t*u + j + m*u**2 and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:53 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 30939 = -3915. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s - 2. Let p be 128\/20 + (-2)\/5. Let b(q) = -q. Calculate p*b(f) - a(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + 2*t**2 - t**2)*(-2 - 2*t + 2)*(-3*t + 8 - 8) as d*t**3 + x + v*t + r*t**4 + s*t**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -16*x**2 - 65*x + 18. Let u be i(8). Round u to the nearest 10.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 278 - 264. Solve -19*m - 25 = -f*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-2)\/(-4)*1. Let o = 0.402 + -0.602. What is the third smallest value in -5, o, r, -7\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x**2 - 6*x - 11. Let n be g(8). Suppose 0 = -2*k + a + 25, -n*k + 70 - 5 = -5*a. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101196 and 1026.\nAnswer: 1922724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 + (4 - 3) - -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 57318912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 10. Let p be t(0). Suppose -3*g + 8*g = p. Let m(y) = -y + 1. Let b(u) = 3*u - 3. Determine g*b(r) + 5*m(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 11*v**2 - 6*v - 34. Give c(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, -5, 5, -18, 0.4 in decreasing order.\nAnswer: 5, 0.4, -3\/13, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9940 (base 12) to base 15.\nAnswer: -5016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 73, 3, -2\/15, -6, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 141984336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100 - -111111010?\nAnswer: 110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/8)*q**2\/q)**27\/((q**3*q\/(q\/(q*q\/(q*q**(-2\/7))*q*q)*q))\/(q**(-1))**(-1\/28)) assuming q is positive.\nAnswer: q**(309\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 12*c - 51 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 6.5. Let x = -43 + 40. Let j = -0.2 - -0.1. Put p, x, j in descending order.\nAnswer: j, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12a93 - a33?\nAnswer: 12060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37688 (base 10) to base 15\nAnswer: b278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2821 divided by -1\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -12*y + 3570. Suppose y = -3*g + 6*g. Does 6 divide g\/10 + 16\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 8. Determine y(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*i - 127*i + i - 16*i - 1 - i + 1 + (3 + 2 - 3)*(3*i - 2*i + i) + i - 4*i + i - 3*i + 0*i + 4*i + 1 + 2*i - 1 - 2*i + 1 - 1.\nAnswer: -227*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = -u + w, 2*w - 1544 = -2*u - 192. Solve u*q - 673*q + 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(13) + sqrt(13) + -1) - (sqrt(13) + (sqrt(65) - 4*sqrt(65))\/sqrt(5)))*2)**2.\nAnswer: -480*sqrt(13) + 7588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2 + 57130*l + 815959225 = 0?\nAnswer: -28565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1398 by 5.\nAnswer: 1398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 56 = -344. Suppose -3*d = -b + 24. Find the common denominator of (-2)\/(d\/(-278)) - 3 and 69\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*l + 116*l + 17 = -3*i, 0 = 4*l - 2*i - 18. Which is the fourth biggest value? (a) l (b) -2\/29 (c) 44 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 - 4*d + 4. Let y(o) = 5*o - 4 - 6 - 3 + 6*o**2 + 8. What is -5*j(f) - 4*y(f)?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 722768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 654931.8 litres in millilitres?\nAnswer: 654931800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:44 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*h + 45864 = 246*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-106)\/(26\/198 - 2\/9). Suppose -n = 12*v - 34*v. What is the highest common factor of 424 and v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3131 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -2. Suppose j*o + 18 - 6 = 0. Is 20 - (1 - o) - -1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -19*c + 8. Let y(x) = -x**2 + 9*x - 18. Let g = 51 - 44. Let z be y(g). Is 15 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1040 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.5 - 18. Let a = v - -3. Let r = 8.5 - 3.5. Sort a, -5, r in ascending order.\nAnswer: -5, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {l: 4, m: 5, t: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -35972*d - 395704. Give x(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089516 divided by 2?\nAnswer: 2544758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 - 11*j**2 - j + 3 - 1 + 6*j**3. Let d be o(11). Let i(p) = -p**3 - 9*p**2 + 8. What is i(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63471 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: Is 1097548 a multiple of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10112 and 201371.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*h = -273*h + 440. Let a = 21 - 15. Let b(w) = -w**2 + 8*w - 1. Calculate the remainder when h is divided by b(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26710 (base 8) to base 4.\nAnswer: 2313020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23342074 (base 8) in base 6?\nAnswer: 301122540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*r**2 - 26*r**5 + 52*r**2 - 28*r**2 + 65*r wrt r.\nAnswer: -520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -104271.78?\nAnswer: -3858055.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 54\/2974691?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (161\/(-28))\/(((-22)\/352)\/(2\/(-8))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4238*h + 275558. Calculate b(65).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l. Suppose -x + l = 2, 4*x - 77 = 5*m. List the prime factors of (-950)\/m - 6\/(-51).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 3. Let g be 23\/(-5) - (-21)\/35. Put -0.1, g, f in descending order.\nAnswer: -0.1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3996 divided by -9\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 7, 17, -1, 262 in decreasing order.\nAnswer: 262, 93, 17, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 5*(16\/(-10) - 0). Solve -w - 11 = s*t, 3*t + 2*w + 8 = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -551*l**6\/60 - l**5\/30 - 4633*l**3\/6 - 2*l**2 + 236*l. Find the first derivative of j(o) wrt o.\nAnswer: -3306*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 24. What is the lowest common multiple of m(10) and 0 - (-2 - -1) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2415645 at most as big as -2415641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 26 - 34 = 4*t, 0 = -4*f - 4. Calculate the common denominator of (-4)\/6*(-20)\/(-6) and -3 + (212\/t)\/(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 11:45 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1988)\/(-89460)*(-10)\/11.\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -37*u - 76. Let s = u - 18. Factor -s + 3\/2*x - 1\/2*x**2.\nAnswer: -(x - 2)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 7*n - 9*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 33. Suppose 0 = -6*s + b + 55. 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 246 minutes before 5:55 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4\/2 + 2348*g**3\/3 - 93918*g**2 + 1516640*g + 3159200\/3 = 0.\nAnswer: -2\/3, 20, 110, 1436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2590764 grams in nanograms?\nAnswer: 259076400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*z, 4*u - 2 = z + 10. Suppose 5 = 2*x + 5*r - 6, -20 = -3*x - u*r. Solve -2*l = 3*f - 4, -l + 4*l - x = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 3*k + 4*k + 3*k)*(19*k - 3*k - 30*k) to the form l + t*k**3 + z*k + h*k**2 and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4515 + 4427. Sort -2, 2, g in decreasing order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = -o. Is (o\/(-5))\/((-9)\/135) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*d - 31 = -2*d, 2*j = 3*d + 22. Suppose 29*r - 3*r - 312 = 0. Suppose -r = 3*v - j*v. Solve -5*l - v - 14 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -5. Let y(w) = 3*w**2 - 16*w + 3. Is 7 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 15*h**2 + 29*h + 51. Determine u(9).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1010001 (base 3) to base 6\nAnswer: -3431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 - 2*t - 7. Let w be m(-5). Find the second derivative of 72*i**2 + 33*i**w + 39*i**3 - 30*i - 73*i**3 wrt i.\nAnswer: -6*i + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = 2*y, 2*y + 0*n - 13 = -n. Suppose -y*r + 1 + 9 = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115525 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtgt when four letters picked without replacement from {t: 3, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 22 + 0*c**4 + 0*c**3 - 7\/3*c**6 - 9*c**2 + 0*c + 0*c**5. What is the second derivative of o(h) wrt h?\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 31. Calculate d(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14836)\/2967 + 5)\/3. Let p = b - 74161\/124614. What is the common denominator of p and -67\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 4, r: 3}. What is prob of sequence rrr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40836 divided by 6?\nAnswer: 6806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**2 - 21*h - 31. Let b(t) = -4*t**2 - 11*t - 16. Let r(y) = 7*b(y) - 3*w(y). What are the prime factors of r(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)*b**30 assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 10*c - 4. Which is greater: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -26, -59, -128, -245?\n\"Answer: -2*g**3 + 5*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*i**2*l**2*n + 2*f*i**2 + f*l**3*n + 2*i**2*l**3*n - 15*i*l**3 + 4*i*l**2*n - 2*l**2*n wrt l.\nAnswer: 6*f*n + 12*i**2*n - 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1411 + 1277. Which is greater: m or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -524 and 368151.3.\nAnswer: 367627.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2171665, -4343349, -6515055, -8686795, -10858581?\n\"Answer: -2*c**3 + c**2 - 2171673*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43418*i - 86190*i + 42770*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*j - 3*j**2 - 37*j - 50*j.\nAnswer: -3*j**2 - 149*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(605) - (-1*sqrt(605) - sqrt(605)))*-5 - ((sqrt(605) - (sqrt(605) - (sqrt(605)*2 + -1))) + sqrt(605) - sqrt(605))*-6)**2.\nAnswer: 726*sqrt(5) + 5566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68832931499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 356*h. Let w(v) = 67*v. Let n(y) = -3*o(y) + 16*w(y). Let q(d) = -588*d**2. What is n(q(x))?\nAnswer: -2352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -60*p**3 + 5*p**2 + 3*p - 8. Let g(c) = 120*c**3 - 11*c**2 - 7*c + 18. What is 3*g(x) + 7*k(x)?\nAnswer: -60*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -980 + 983. Let n(q) = -5*q**3 + q**2 + 3*q + 2. Let w be n(-2). What is the derivative of 2*m**2 + w*m - v - 40*m wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7016265 + 4.2\nAnswer: -7016260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 606*x**2 + 27*x - 19. Is b(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54032593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 45. Let r = 26 + h. Solve r*j + 8 = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-3 + sqrt(243) + -1 + -2)*-5)**2)*-1.\nAnswer: -6979 + 2700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35679 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384866179 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.8. Let n(t) = t**2 - 10*t + 10. Let l be n(9). Let c be (20\/(-3) - -6) + l. What is the nearest to c in 3\/2, d, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 - 2*c + 2. Does 15 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**4\/5 + 304*y**3\/5 + 1328*y**2\/5 + 1856*y\/5 + 736\/5 = 0 for y.\nAnswer: -46, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 19678, -5, 5, -1, 3, -3, 1 in increasing order.\nAnswer: -5, -3, -1, 1, 3, 5, 19678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1404 - -1454) + (-4148)\/83?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 - c. Let o(f) = 18*f**2 - 3*f + 1. What is -7*m(b) + 2*o(b)?\nAnswer: -6*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * -0.8817.\nAnswer: -39.6765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = 2*u, 4*u - u = 2*c + 2. Let a be u + ((-8)\/(-4) - -3). Let p(k) = -2*k + 4. Determine p(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 72*s**2 + 22*s + 53. Let u be f(-3). Suppose 5*o - 6*o = -5*r - u, 1885 = 3*o + 5*r. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -39*k + 22. Is x(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 - 5.28. Let m = 6 + f. Let i = -7.7 + 8. Sort -5, i, m in increasing order.\nAnswer: -5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -990*h**3 + 990*h**3 - 2 + 85*h**5 - 17*h wrt h.\nAnswer: 1700*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-1 + 5)*3\/(-5). Suppose 4*i = 2*s + n*s + 2, 3*s + 5*i = -16. What is the biggest value in 0.4, -3, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54716 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 24. Let d = k - -60. Is 15 a factor of (-22)\/d + (-277)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4781 divide 901318901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 45*r**2 + 24*r + 5. Calculate t(23).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-6)\/(-3))*(-30)\/((-330)\/77)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3041*g*u**3 - 13*g*z + 483*u**3 - 60*u**2*z wrt g.\nAnswer: 3041*u**3 - 13*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 41*q - 23. Let o(c) = c**2 + 27*c - 15. Let r(v) = -8*o(v) + 5*z(v). Suppose 0 = -2*h - h + 36. Is r(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23013 + 23013.00147408. What is t rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10533 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23441641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9740 divide 847434815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 10 = 0. Suppose f*i = 2*i + 36. Suppose -28 = -14*w + 12*w. Calculate the least common multiple of i and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5116000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 120*g**2\/7 - 248*g\/7.\nAnswer: 2*g*(g - 62)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f - 2582 = -5*m, -1028 = -2*m + 2*f. What is the highest common factor of m and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 11. Let u be s(5). Let t be u\/(-84) - 186\/(-14). Suppose t = 3*k + 1. Solve 0 = 3*j + k*i - 29, 0*i = -3*j - 2*i + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1259 and 108193424?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.13 and -633309.03.\nAnswer: -633306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-36)*(s\/s**(-3\/22))\/s)\/(s**(-6))**(-2\/9) assuming s is positive.\nAnswer: s**(-2455\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31216 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3662, -14574, -32784, -58292?\nAnswer: -91098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-14) + 8\/(-28). Suppose -b*k + 14 = -v, 20 = 4*k + k - v. Suppose -k*m + 9 = 0, -5*h = 2*m + 89 - 280. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1764 * -84504\nAnswer: 14906.5056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 641.988 + -642. Round c to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21825 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.079*-4209\nAnswer: 332.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3882*b**2 + 4*b**4 - 140*b - 37 + 1 - 4014*b**2 - 12 - 36*b**3.\nAnswer: 4*(b - 12)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014866 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202713558*l + 197946974 wrt l.\nAnswer: -202713558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 184 = r + 631, 1341 = -3*o + 4*r. Let w = o - -723. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + f**2 - 3*f + 1. Let q(c) = -c. Let t(k) = q(k) - w(k). Let r be t(2). Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + 6*t. Let j(o) be the first derivative of 0*o - 2\/3*o**3 + 4 + 5\/2*o**2. Calculate -6*j(a) + 5*s(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/((-324)\/9800) - 14\/63.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - t**4 + 13*t - 13*t + (-5*t + 3*t - t)*(-49*t**4 + 98*t**4 - 39*t**4).\nAnswer: -31*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v)\/v*v*v)\/v**(1\/3))**(26\/5) assuming v is positive.\nAnswer: v**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/102 - 8\/(-9). What is l in 8\/9*l + 2\/9*l**2 + s = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 13) to base 8.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 12. Calculate the common denominator of ((-12)\/24)\/(c\/74) and -7\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-14\/5)))\/n*n)\/(n*n**4\/n)*((n\/n**2)\/n)**(-1\/43) assuming n is positive.\nAnswer: n**(-1452\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2\/19 (c) -1.7 (d) -0.5 (e) -3 (f) 1\/9 (g) -2\/321\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y - 2313 = -229*y - 809. Let k(n) be the first derivative of -28\/3*n**3 - 4\/5*n**5 - y + 5*n**4 + 0*n + 6*n**2. Factor k(w).\nAnswer: -4*w*(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k**3 + 0*k + 27*k - k - 25*k.\nAnswer: 45*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1) - (-7)\/(-28)*4. Let m(t) = t**3 + 5*t**2 + t - 12. Let b be m(d). Solve -4*k - k - 15 = b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41520)\/36*(-36)\/20*(-12)\/18. What is the smallest value in i, -3, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238.416 plus 0.091141?\nAnswer: 5238.507141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(-1 - -3) + 0. Let a = -55 + 582. Suppose a = 3*i + c, 3*c + 0*c + 3 = 0. What is the highest common divisor of i and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4020518 to the power of 1\/2, to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, u: 4}. What is prob of picking 1 a and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((18 - -1)*-11)\/(-1). Calculate the least common multiple of 11 and p\/57 - (-8)\/6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16695 + a?\nAnswer: -16686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a day in hours?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 5)*(-3264 + 6529 + 169*g**4 - 3264) in the form y*g**4 + l*g + x*g**3 + j + a*g**2 and give y.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**4 - 2*x**4 - 3*x**3 + 41*x + 197*x**2 + 31*x - 110*x + 35*x - 1 to t*x**2 + o + a*x + n*x**3 + k*x**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7766699 or -7766695?\nAnswer: -7766695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236595367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 10*m**2 - 30*m + 3. Let w be h(-10). Suppose 2*u = 2*k + 174, -4*u + 5*k + 42 = -w. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -3)*(-54)\/(-1782).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = y + 22, 5*y = -g + y + 14. Sort 4, -4, g in descending order.\nAnswer: g, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 10030?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 10*u - 44. Let t be d(-18). Let y = t - 88. Suppose 203 = 2*g - 61. Calculate the highest common divisor of y and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16530, 66355, 149472, 265881, 415582, 598575?\n\"Answer: 16646*a**2 - 113*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, -28, -2 in decreasing order.\nAnswer: 2, -2, -3, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*f + 3 = 5*a, 5*f = 0. Let c = 112\/3 - 37. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -261*k**2 - 522*k**2 + 178*k**2 - 1737*k**2 in the form x + w*k**2 + d*k and give w.\nAnswer: -2342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -21*g. Let f(b) be the second derivative of 191*b + 0 - 1\/6*b**3 + 0*b**2. What is f(a(o))?\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2 - 14*d - 96. Give w(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 19*y + 1. Let u(i) = -i + 1. Let j(f) = m(f) + 4*u(f). Let h be 0 + (0 + 3)\/((-2)\/2). Let l be j(h). What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*n**2 + 441*n**2 - 880*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 1083 + 1038. Suppose 10 - b = -j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13574594 by 2.\nAnswer: 6787297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 1. Calculate the remainder when 46 is divided by j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -858783, -3435146, -7729085, -13740600, -21469691, -30916358, -42080601?\n\"Answer: -858788*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 + 91*r + 30. Let y be a(18). Calculate the highest common divisor of 176 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 + 217. Let d = t + 173. Solve -d = 4*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d**3 - 60*d**3 + 246*d**3 - 118*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/120 + u**5\/12 + u**4\/12 - u**3\/2 + 2*u**2. Determine h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-18) + 2700\/(-120)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -59*b**6\/60 + b**4\/6 + b**3 - 12*b**2 - 2. What is the second derivative of t(y) wrt y?\nAnswer: -708*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + j + 2, 2*h - 3*j - j + 22 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjjd. What is prob of sequence jjd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*b + 10*b + 88 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36)\/((2\/9)\/(4\/15))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213468606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = 2*s, 0 = -4*q + 6*s - 3*s + 1. Let m be (-3 + 1 - -1) + -20. Let o be q\/(-14) - 6\/m. Is 4\/7 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(360)*2 + sqrt(360)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**2 - y - 2. Let z(u) = -10*u**2 + 2*u + 3. Calculate 3*r(a) + 2*z(a).\nAnswer: 7*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2313\/4 - 3493\/6. Let t = 13421\/12 + -1112. Calculate the common denominator of t and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249.98 + 250. Which is the closest to -0.1? (a) -2\/3 (b) 1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*d - 188*d = v - 13, -2*d = 3*v - 25 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 147764*f**2 + 1408940236*f + 811540639740.\nAnswer: 4*(f + 615)*(f + 18163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10482 + 3*x + 10511 - 5*x.\nAnswer: -2*x + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l + 51*l**2 + 27*l**2.\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.1 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192 - 2.95526?\nAnswer: -3.14726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 + 150253*g**3 - 75122*g**3 + g - 74*g**2 - 75126*g**3 as p*g + d*g**4 + r + t*g**2 + i*g**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 27518090?\nAnswer: -11007236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 0 + 0)*(-9*y + 7*y - 18*y) - 4*y**2 - 3 + 3 - y**2 + 0*y**2 - y**2 + (-2*y - y + 4*y)*(-1 + 1 + y) as a*y**2 + q*y + i and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/20 and 269.83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 7. Let y(s) = 4*s - 7. Let g(j) = 3*n(j) + 2*y(j). Let a be g(6). Let q be -5*a*(2 - 3). Solve -3*d + 11 = q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93798 and 70638.\nAnswer: 5721678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 6. Let r = 15.7 - n. Let j = -0.4 + r. What is the closest to 2\/9 in 3, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, w: 3}. What is prob of picking 4 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrrrrarrra. Give prob of sequence rl.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 3*q. Let p be (-3)\/(-12) + 17\/q. Let u be (-239)\/(-4) + (-1)\/p. What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from nnaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 133. Suppose -3*k - n + 258 = 0. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*x + 12, x + 8*c - 11 = 5*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*c**6 + 10*c**4 + 4*c**3 - 91*c**2 + 53*c + 1.\nAnswer: -8520*c**3 + 240*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 591 and 28179865?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -2*g - 84, -2*j + 0*g - 3 = -g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1231363 (base 7) to base 10\nAnswer: -159001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 3*a - 2. Suppose 2*x - 2*f = 3*f - 13, 0 = -2*f + 2. Let d be b(x). Let t = d - 13. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q**2 + 3*q**2 - 2*q**2 - 5)*(-101 - 19*q**2 + 101).\nAnswer: 38*q**4 - 38*q**3 + 95*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2)\/x*x)**36*(x**0)**(-1\/21))**(-27))**(2\/19) assuming x is positive.\nAnswer: x**(3888\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:21 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 64.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*c**2*o**5 - c**2*o**2 - 4*c**2*o + c*o - 13172*o**5 + 3*o**2 + 445*o wrt o.\nAnswer: -5460*c**2*o**2 - 790320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*c + 5*c - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 15. Let q(u) = -32*u + 332. Let p(l) = 15*l - 150. Let c(b) = 11*p(b) + 5*q(b). Calculate c(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1182871, -1182976, -1183081, -1183186, -1183291?\nAnswer: -1183396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -187\/7 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-16))\/(-9) + 117\/364.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127144 or 0.3?\nAnswer: 127144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*v - 39353 = -33910 + 26602 for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54288 by -24.\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -0.36. Let q = 159.9 + -160.6. Let f = l - q. What is the smallest value in f, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1972928.\nAnswer: -3945856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5491*g**3 - 20*g**2 + 3*g + 79. Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -38*d**2 - 44*d + 160. Let l(z) be the second derivative of 7*z**4\/12 + 3*z**3\/2 - 16*z**2 + 2*z - 18. Let u(j) = 2*f(j) + 11*l(j). Determine u(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 122 + 88 + 14 + 1549*z**3 + 258*z**3.\nAnswer: 1807*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 - 1 = 0. Let j = 1.811 + -1.921. Is i at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3 + 3)*(-6*x**2 - 23291 - 15*x + 23291) + 3*x + x**3 - 3*x + (x**2 - x**2 + 2*x**2)*(2*x - x + 0*x).\nAnswer: -9*x**3 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 25 = -5*l, 5*l + 1172*d = 2*l + 1171*d + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (54\/(-405) - (-1)\/3)\/1. Which is smaller: 1\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1683521, -1682960, -1682401, -1681844, -1681289?\nAnswer: -1680736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1383, 5397, 12087, 21453?\n\"Answer: 1338*j**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + -6*(sqrt(190) - (sqrt(190) + sqrt(190)*2)) + sqrt(190))\/((-1*sqrt(60))\/sqrt(6)) + (sqrt(931) + -4 + sqrt(133)\/sqrt(7) + -3)**2.\nAnswer: -126*sqrt(19) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10630 - -1120?\nAnswer: 11750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqlt when four letters picked without replacement from {l: 3, q: 4, o: 1, t: 1, b: 1, v: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/189615 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 238 (b) -0.083 (c) 3\/2 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112299 is divided by 74144?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -861800 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90073 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: Differentiate -f + 31*f**2 + 68 + 62 - 133 wrt f.\nAnswer: 62*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 107.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -107310997?\nAnswer: 107310997.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(847) + sqrt(847) + 2 + sqrt(847) + -1)*-4 + 0 + -3).\nAnswer: 30 + 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-4 + 5) - 9. Let m be 5 - (p\/(-4) - -1). Let n = -2 + 18. What is the highest common factor of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 0*k)*(-2 - 1 + 2)*(9*k**2 + 2*k**4 - 9*k**2).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6665719.\nAnswer: 6665719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*54*(-16)\/3240.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**3 - 11*p**2 - 13*p - 19. Let c(v) = 7*v**3 - 6*v**2 - 7*v - 10. Let r(b) = -6*a(b) + 11*c(b). Determine r(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-727)\/(-9) - 158\/(-711) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 + 4*b + 4. Let t(l) = 4*l**2 - 3*l - 3. Let w(i) = 3*a(i) + 4*t(i). Let f(j) be the third derivative of -31*j**4\/6 - 284*j**2. Give f(w(n)).\nAnswer: -124*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2*6\/(-90))\/(((-727744)\/415)\/(-64))?\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let u = -8 - -11. Suppose -4 = -u*t - t. Let q(s) = t - 1 + 2*s. What is q(o(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42688089.\nAnswer: 3, 241, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 125\/93 + -1\/93. Let 1\/3*a**2 - 1\/3 - 4\/3*a + h*a**3 = 0. Calculate a.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854651 to the power of 1\/2, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6601, 13203, 19805, 26407, 33009, 39611?\nAnswer: 46213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + (3 - (7 + (3 - 6))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -165. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -4, -16, -30, -46, -64, -84?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + 15 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/12 - z. Let i(y) be the third derivative of -7*y**4\/24 + 41*y**2. What is i(w(d))?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 + 19*m - 7. Let l(t) = -3*t**2 + 11*t - 4. Let n(d) = -7*l(d) + 4*s(d). Let z(w) = -45*w**2 + 35*w. Give -70*n(g) - 2*z(g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(5*d + 5 - 5) + 2 - 2 - 2*d)*(10 - 3 + 1)*(-2*d**4 - 3*d**4 + d**4) + 11*d**2 - 3*d**5 - 11*d**2.\nAnswer: -99*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q + 16*q - 121 + 3*q + 17*q - 54*q.\nAnswer: q - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*x**6 - 4*x**3 + 12*x**2 + 50*x?\nAnswer: -14400*x**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750.0858 - -1342.\nAnswer: 2092.0858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 101 = -3*z + 5*z, 0 = i + 2*z - 31. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 times -3191666?\nAnswer: 513858226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10011101100111110 (base 2) to base 10\nAnswer: 80702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Let f = 40 - 24. Suppose -5*u + f = -5*h - 9, -m*h = -2*u + 22. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2904, -2987, -3134, -3345?\n\"Answer: -32*c**2 + 13*c - 2885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*(n*n**(1\/7))\/n*(n**(-1))**(2\/123)*(n\/n**1)**(2\/21)*n**(1\/8)*n**1 assuming n is positive.\nAnswer: n**(29285\/6888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*a**3 - 8*a**3 + 16*a**3.\nAnswer: 271*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.45 + -0.05. Let r(p) = -p**3 - 3*p**2 + 18*p - 5. Let f be r(-6). Put -1, h, f in descending order.\nAnswer: h, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -630\/15727 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0) + 22 + -19. What are the prime factors of ((-27)\/90*-15)\/(a\/128)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/253, -94, 28.\nAnswer: -94, -8\/253, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 640 + -451. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 2*p**2 - 2*p - 4. Determine j(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (2 + -25 + (15 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/3 + 11*c**2\/2 + 2*c. What is the units digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:32 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002416879334 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -1617167?\nAnswer: 1617183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 20*g**2 - 18182*g\/5 + 14200.\nAnswer: 2*(g - 71)*(g - 4)*(g + 125)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12634 + 19323. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15324*t + 98716 - 650380 = 0 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 5. Suppose -26 + b = -n. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444229895 a multiple of 4985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*s**5 - 594\/7*s**4 - 131420\/7*s**2 - 6174 - 18606*s - 44988\/7*s**3.\nAnswer: -2*(s + 1)**3*(s + 147)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -415 + 151?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 12e427?\nAnswer: 12e424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 13*s - 163. Let o be y(16). Suppose -4*j - 3*u - 30 + o = 0, -2*j + 4*u - 20 = 0. Solve -3*l + j = 2*z - 1, -z = l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -38203*f. Let b(o) = 23*o**2 + 3*o. Calculate b(i(z)).\nAnswer: 33567791807*z**2 - 114609*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213.9844 + -284.39. Let s = i - -72. Let b = s + -1.6. Round b to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949709779 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/r**0))\/r)\/r)**19)**15\/((r\/(r\/r**(-1)))**(-9))**(-2\/67) assuming r is positive.\nAnswer: r**(-38172\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 5*r - 2. Let s be t(6). Let f be s*(-39)\/18*-3. Let d = f - 2. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 826*u + 165190. Give j(-200).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/9968727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 - 136561728*o\/7 + 1554092129528832\/7.\nAnswer: 3*(o - 22760288)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdm when three letters picked without replacement from ddmdjdmjdjdbdjdmdbd?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and -133\/660.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-12\/11)*q\/(q\/(q**4*q)*q)*q*q\/((q\/(q\/(q*q**(-5)\/q)))\/q)*q)\/(((q**(-3\/2)*q)\/q)\/(q*q\/(q*q\/(q**2\/q*q*q)))*q**(-2)*q**5) assuming q is positive.\nAnswer: q**(295\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177.67 - 178. Which is the closest to 0? (a) 0.2 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23032 - -30?\nAnswer: 23122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12.047*0.211\nAnswer: 2.541917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let x(z) = -6*z - 5. Let b(y) = 5*y + 4. Let w = -5 + 9. Let q(g) = w*x(g) + 5*b(g). Give m(q(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/203908 and -85\/305862.\nAnswer: 611724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -5. Let m = -0.3 + 0.3. Let n = -2 - m. Is n greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -61, -137, -251, -409, -617, -881, -1207?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3 + 2944*h**2 - 22755*h - 7912 = 0.\nAnswer: -989, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 6. Let s be i(5). Suppose -o - 15 = s. Is (o - 1)\/(6 - 8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/4 + 18*l + 285\/4 = 0.\nAnswer: -19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 15 - 1. Let w(b) = 2*b - 5. Let x be w(5). Suppose x*o - 6 = q - 39, r*q = -4*o + 12. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k*k**(-15)*k))**(-33\/2)\/(k\/(((k**(-3)\/k)\/k)\/k)*k**(-22)))**(-17) assuming k is positive.\nAnswer: k**3111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7359)\/132 + 54 + -4 + (415\/4 - 3)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1)\/(-4) + 36\/8 + 7. Let j(o) = o**3 - 10*o**2 - 14*o + 17. Determine j(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 2 l when four letters picked without replacement from llrbbrbrlbl?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + v - 1. Let n be q(-2). Find the second derivative of 4*w**5 - n*w + 2*w + 5*w wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 436.1 + -460. Let m = 3.9 + u. Let y = 19.9923 + m. What is y rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3. Let y be g(0). Let m(n) = -n**2 - 8*n + 5. Let a = -23 - -15. Let f be m(a). Solve -2*i + y = -f*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1316718 and -107\/1122.\nAnswer: 14483898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 + 0 = 0. Let q(m) = m**2 + 2. Calculate the smallest common multiple of q(-4) and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17402\/1130*5\/42?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:08 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from pucpw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 226497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/120 - -1\/10. Let p = c - -5\/24. Determine t so that -1\/4*t + 0 - p*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734986 is divided by 366370?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 8. What is b(-7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8\/(i\/i**(-27)) assuming i is positive.\nAnswer: i**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 3*x - 3*x. Let p(a) = a**2 + 4*a. Let d be p(-4). Let b(v) = 0*v + d*v - 2*v + 0*v. What is n(b(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 + 27*h + 2. Let v be d(9). What is the highest common divisor of v and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 2*t + 5. Let a(l) = 7*l**2 + 5*l + 9. Let n(i) = -i**2 + 59. Let z be n(-8). Determine z*x(q) + 2*a(q).\nAnswer: -q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7014 = -3*m - 4978, -m = 2*w + 4008. What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 8043686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q. Let g be y(0). Let z(s) = -s**3 + s**2 + 2*s + 21. Let u be z(g). Suppose -6*a - u = -3*a. Put -3, 2, a in increasing order.\nAnswer: a, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 < 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4220*p**3 - 141*p**3 + 4*p + 10*p - 14*p.\nAnswer: -4361*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.0494885 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 82, 176, 306, 472?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1548 divide 162540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*b**3 + 731*b**2 wrt b?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -400*j**2 + 704*j - 64. Let m(y) = 19*y**2 - 33*y + 3. Let v(l) = 3*i(l) + 64*m(l). Let s(f) = -7*f**2. Give v(s(a)).\nAnswer: 784*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/162 and -2\/27.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31611 - 17840. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -35*r**3\/6 + 17*r**2\/2 - 5538*r. Let h(s) = -5*s. Calculate h(o(w)).\nAnswer: 175*w - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45205 + 0.11\nAnswer: 45205.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -18. Suppose d*t - 10 = 2*t. Let v = 0 - -2. Which is the closest to -0.1? (a) v (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -19, -8, 0 in descending order.\nAnswer: 0, -2, -3, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -467, -540, -613?\n\"Answer: -73*t - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-12)\/(-30))*-162. Suppose 5*l = 32*l - f. What is the remainder when 74 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1644 and 2.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446 (base 16) to base 6.\nAnswer: -5022","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 51*i**2 + 419*i + 85. What is r(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28182 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 29, 24, -6, 7 in descending order.\nAnswer: 29, 24, 7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z. Let r(v) = -v - 1. Let d(a) = -7*a - 5. Let h(n) = d(n) - 5*r(n). What is f(h(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 0.05.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + (-3*sqrt(1088) - sqrt(1088)) - (sqrt(1088) + 2 + 5 + sqrt(1088))) + 4*(2*sqrt(1088)*4 - -1*(sqrt(1088)*2 + sqrt(1088)))))**2.\nAnswer: -91200*sqrt(17) + 39277700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydydrdryydd. What is prob of sequence rdyd?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.138163 - 0.138. Round b to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10659691 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 17. Let y(b) = -3*b + 11. Let r(h) = 5*i(h) + 7*y(h). Let q be r(-14). Let k be 8\/q - (-305)\/3. Round k to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/119600 and -64\/563615.\nAnswer: 45089200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3154910118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - 125191?\nAnswer: -1251a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(200) + -1 + sqrt(200).\nAnswer: -1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2 = -2*c, -3*v + 60 = 5*c + 74 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/120 + l**5\/20 - l**4\/12 - 2*l**3\/3 - 64*l**2 - 2*l. Let u be s(-2). Solve -4*x + u*m + 0 = -24, 2*x + m = 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-5) - 840\/(-700). Let h = 12 - 23. Put 4, u, h in decreasing order.\nAnswer: 4, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/3 (b) -1\/5 (c) 0.08 (d) 7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**8\/210 - k**5\/15 + k**3\/3 + 7*k. Let g(p) be the second derivative of a(p). What is the second derivative of g(z) wrt z?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -119 + (4 - (28 - 13 - 4 - 1)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 5*d + 7. Let p = -42 + 37. Let i(v) = -6*v - 1 - 1 - 7*v**2 - 6. Let t be (2 + 1)*2*-1. What is p*i(y) + t*c(y)?\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*u**2 + 55*u**2 + 112*u**2 - 437*u**2.\nAnswer: -753*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0\/(-4) + 1. Suppose -r - g*r = 0. Suppose 9*c - 7*c - 148 = r. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 4*x - 1. Let i be w(-3). Suppose 0 = -n - 3*d + 5, -2*d = -n - 0*d + i. Calculate the smallest common multiple of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzpzjzfpzfjzzff. What is prob of picking 1 p and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2 + 28*o + 28. Let p(f) be the third derivative of f**4\/24 + f**3\/6 - 2*f**2 - 42. What is -28*p(m) + t(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*r + 2*r**2 + 7*r**2 - 7*r**2 - r**3 + r to the form g*r**3 + u*r**2 + x*r + o and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 171*s**2 + 15*s + 102. Calculate the smallest common multiple of a(-5) and 8.\nAnswer: 17208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 686, 692, 696, 692, 674, 636?\n\"Answer: -s**3 + 5*s**2 - 2*s + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 15. Let m(a) = -a**2 + 2. Let r be m(0). Factor 13*f**r + 16*f**3 + 8*f**2 - 5*f**2 + 8 - 12*f**p + 20*f.\nAnswer: 4*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3289*b**2 - 795562*b + 397781*b + 397781*b.\nAnswer: 3289*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -4*o + 37. Let m = o - -13. Let h = m - -25. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 183 - 27 = 8*w, 69*w + l + 48 = 68*w - 0*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 6*m - 24. Let o be k(6). Let y be (-2 - -2) + (-362)\/15. Let f = y - o. What is the third smallest value in 0, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31559160 to the nearest integer?\nAnswer: 5618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*w**2 - 190*w**2 + 37*w**2 - 130*w**2 - 214*w**2.\nAnswer: -673*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3370.\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:26 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1617716 by -5.\nAnswer: 1617716\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 14*c**2 + 22*c + 30. Let q(f) = 3*f**3 - 28*f**2 + 43*f + 60. Let d(r) = -3*q(r) + 5*t(r). Is 5 a factor of d(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14083 - 46576 = -3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -336 + 344. Suppose p*h - 214 = -4*n + 3*h, n - 48 = -4*h. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**40*((k\/k**(-1\/6))\/k)\/k**(-1\/3) assuming k is positive.\nAnswer: k**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13448 and 8088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 6 = -7*p + 2 - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15060970 - -2?\nAnswer: -15060968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 74*g - 1140. Let m be j(-22). Let z(r) = r + 11. Let h(u) = -6. Determine m*z(t) + 7*h(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12980 = -8*f. Suppose 10*b - 144 - f = 0. What are the prime factors of b?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00168544 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 970172?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + s**3 - 12*s**3 + 29*s**2 - 8*s**2 + 11*s**2 as d*s + g + o*s**2 + t*s**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*b = -4*u + 27, 4*u - 24 = -4*b. Solve 4*a + u = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126530?\nAnswer: 2, 5, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*m = -196*m + 3694. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 4*b + 5. Suppose 3*k = -3*m + 225, 0*m + 4*m + 162 = 2*k. Let l be (-2)\/(-7) + 286\/k. Calculate s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a2148 - 2?\nAnswer: -a214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300542 and 796499.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + 0. Calculate the lowest common multiple of 46 and -2*(b\/20)\/6*-5.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 17, 55, 155, 347?\n\"Answer: 5*n**3 - 14*n**2 + 13*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 + -2.21. Let j = -2.3999974 - o. What is j rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -10*l + 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + ((-375)\/10)\/(-3). Let k(v) = v - 41. Determine k(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 16*i - 18*i + 45*i + 4*i**3 + (-4*i - i + 3*i)*(3*i - 2*i**2 - 3*i).\nAnswer: 8*i**3 - 2*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 26. Let m be n(-18). Suppose -u = -3*u + m. Suppose 3*q - b = 2*q, u*q + b = 18. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5977183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57493763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-5)\/5)*(-5)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.69 + 0.99. Let o = u - -2.8. What is the biggest value in o, 2.5, 2?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13. Let g(z) = z**3 + 7*z**2 - 2*z - 10. Let p be g(-7). Let c(n) = -n**3 + 6*n**2 - 4*n - 3. What is the remainder when c(p) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 114. List the prime factors of 10\/(-8)*(12\/6 - u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1314417043 and 0.1.\nAnswer: 1314417043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) -2 (b) 6 (c) -0.4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4417)\/(-5679))\/(56\/540)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 139941398 and -5.\nAnswer: 139941393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 * 6228\nAnswer: 2242.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**6 - d**5 + d**4 - 22*d**2 - d. Let p(i) = -i**5 + 2*i**4 - i. Let g(j) = -2*p(j) + 2*v(j). Find the third derivative of g(t) wrt t.\nAnswer: -240*t**3 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -40, 7, -5, -20380 in descending order.\nAnswer: 7, 2, -2, -5, -40, -20380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**4 + 93183*r**3 - r**2 - 28321828*r?\nAnswer: -48*r**2 + 559098*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 + -1368a?\nAnswer: -13649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109508210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*c - c = -13, 3*g - c - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -22, -71, -152, -271?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1 + -2)*6.\nAnswer: -6 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(4 - 4 + 3*q) - q + 6*q - 4*q + (1 + 2 - 5)*(4*q + 2*q - 4*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 78?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -4)*(-24)\/(-2). Let r = a + 16. Put -0.4, r, 5 in ascending order.\nAnswer: -0.4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 7, 0, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/560 - z**7\/140 - z**6\/40 + z**5\/10 + z**4\/2 + 4*z**3\/3 + 7*z**2. Let b(h) be the first derivative of q(h). Factor b(m).\nAnswer: 3*(m - 2)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275428 bigger than 275428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/3 + 956127526*t\/3 + 228544961493720169\/3 = 0. What is t?\nAnswer: -478063763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 5*a**3 + 3*a**3)*(-a - 4*a + 4*a) + 10*a**4 + 464 - 464 + (3 - 2*a**2 - 3)*(-a**2 + 2*a**2 + a**2).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:17 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 - 20 = -3*x. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/((154\/(-35))\/11))\/((-170)\/68).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.379532 millennia in centuries?\nAnswer: 63.79532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 5. Let n be t(6). Suppose 5*v - 31 = -2*z + 38, -2*v + 32 = 3*z. Let y = v + n. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = o - 8, r + 4*r - 3*o = -17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -253.5 + 254. Which is the biggest value? (a) q (b) 1 (c) -0.5 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2.8, 8, 4 in descending order.\nAnswer: 10, 8, 4, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-9))\/(113\/360018)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*h**3 - 7*h**3 + 14*h**3 + (2 - 5*h - 2)*(-6*h**2 + 3*h**2 + 4*h**2) as i*h**2 + g + w*h**3 + d*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 - 63*y + 240 = 0. Calculate y.\nAnswer: 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -a - 3 - 6, -2*a + 21 = 5*q. Let b be (-1 + q)*-2*1\/(-2). Find the third derivative of -51*f**6 - 19*f**b - 55*f**6 + 104*f**6 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + -11100202111?\nAnswer: -11100210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 197 = -3*g - 13*x - 4*x, 4*g = 8*g + 4*x + 64 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -28. Let m(x) = -54*x**5 + 71*x - 2. Let d(o) = -161*o**5 + 214*o - 7. Let s(b) = h*m(b) + 2*d(b). Find the second derivative of s(u) wrt u.\nAnswer: 1120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 43*q + 29. Give r(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + -7061109.2.\nAnswer: -7061099.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123112 (base 5) to base 6.\nAnswer: -34050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3128, 6260, 9392?\n\"Answer: 3132*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635129.\nAnswer: 11, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139457 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457376 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-33939.\nAnswer: -1018170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrtytreyrtfftyyyy. What is prob of picking 1 r, 1 f, and 1 y?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*y - 134 = -2340, 0 = c - 4*y + 1093. Is (0 - 3\/(-1))*c\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1107*l - 1106*l + 2*l**4 + 64*l**3 - 5*l**4 to the form x*l**2 + t*l + d + a*l**4 + o*l**3 and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/528 - -5539\/2640. Let o = -4471\/3 + 1471. Calculate the common denominator of b and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:07 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 1)*(-4 + 0 + 3)*(3 + 3 + 0)*(-3*s + 5*s - 4*s)*(1 - 1 - 9) + s - 3 + 3.\nAnswer: -431*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -25*i**3 + 5*i**2 - 4*i - 4. Let v(y) = -y**3 + y**2 - y - 2. Determine -h(d) + 3*v(d).\nAnswer: 22*d**3 - 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -356 in 2, -2, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2887.\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 7060412?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210468.\nAnswer: 2, 3, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 14652*z**2 + 4*z - 14649*z**2 + 5*z in the form j + b*z + c*z**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5897.5*1101\nAnswer: -6493147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-8)\/16*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4688 + 0.0312. Let g be (-66)\/88 + 162\/(-8). Do y and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*k - 9, 5*m - 2 = 3*k - 13. Let x(z) = 6*z**2 - 2*z. Determine x(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13280*a*w + 2725676*a + 43*w with respect to w.\nAnswer: -13280*a + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56706323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14804857*q**2 + 7402424*q**2 + 7402430*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t + 24*t - 33 - 7*t - 8*t with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1724392 + -15 - -24. What is l rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-18)\/(-4) - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 - 4*r - 1. Let v be g(3). Let x = 8 - v. Solve -h - x*w + 13 = 0, 4 = 2*w - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:02 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -180, -430.3 in decreasing order.\nAnswer: 5, -180, -430.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 357*j - 8. Let i(o) = 2856*o - 68. Let p(w) = 2*i(w) - 17*k(w). Let n(y) = -6*y**2. What is n(p(q))?\nAnswer: -764694*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -65. Let r = x - 53. Is 9 a factor of -6*5\/r + 273\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2163*q**5\/5 + q**4\/4 + 1576*q**2 - 3940. Find the second derivative of u(w) wrt w.\nAnswer: -25956*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 1. Let g(b) = b + 2. Give 5*f(w) + 4*g(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k, -57*k + 61*k + 20 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -174 in 19\/3, -4, -0.2, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -367\/6 (c) 0 (d) -1 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 236 = -t. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 108?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 85*y - 15 = -43*y. Let i(j) be the first derivative of -8*j**5 - 25*j**4 - y*j - 30*j**3 - 35\/2*j**2 + 22. Factor i(c).\nAnswer: -5*(c + 1)*(2*c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9393448 and 2280?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 1623744?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-70) + (0 - 26\/(-5)). Let s be (-2)\/(-9) - 38\/(-171). Suppose -4\/9*j**g - 4\/9 - 4\/9*j + 8\/9*j**3 + 8\/9*j**2 - s*j**4 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**5\/60 + q**4\/4 - 3*q**3\/2 - 23*q**2\/2 - 22. Let o(x) be the second derivative of r(x). Solve o(f) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 68, 60, 52, 44, 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, -891, -2531, -4827, -7779, -11387, -15651?\nAnswer: -20571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 2*w**3 + 3*w**3 + 14*w**3 - 10*w**3 + 7*w**3 + (3*w - 3*w - 4*w)*(-1 - 3*w**2 + 1).\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.0115 + 46.9215. Let i = -46 + l. Let w = i + 10.09. What is the closest to 0 in w, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 321254, 321229, 321198, 321167, 321142, 321129, 321134?\n\"Answer: h**3 - 9*h**2 - 5*h + 321267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -923*k + 331?\nAnswer: -923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -171. Let t be 1 + g\/(-2) + -2. Suppose 0 = -5*i + t + 2. Solve -h - 3*z + 3 = h, 0 = 2*h - z - i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - z**2 + z**3 + (-4*z**3 - 8 + 8)*(6 + 0 - 4 + (1 - 7 + 0)*(5 - 3 - 3)) in the form l*z + t*z**2 + n + d*z**3 and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 596 - 603 - 2*h**2 + 8*h. What is p(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -58. Let x be (1 + o + 3)\/1. Let b be 3 + -2 + (-6)\/3. Sort b, -4, x.\nAnswer: -4, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*4*(-2)\/(-4). Suppose 3*j + 15 = -c + 9, -7 = 3*c - 2*j. Is c at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/108)\/((-7712)\/(-23136))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(((g*g*g*g*g**(2\/3))\/g)\/g)\/g)**(-44\/5)*g**(-2)\/g*g\/(g\/(g**(-4)*g))*(g**(-2\/15)\/(g*g**(-2)))**20 assuming g is positive.\nAnswer: g**(-182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14950000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i**5\/5 - 18*i**4\/5 - 6*i**3\/5 + 18*i**2\/5 + 12*i\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 20615 = 23821. Suppose -2105 = -11*i + y. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2926253 (base 10) to base 2.\nAnswer: -1011001010011010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381938*g**5\/9 - 17060480*g**4 + 4258410284*g**3\/9 + 1490721704*g**2\/3 + 6755606*g + 23112 = 0. What is g?\nAnswer: -428, -1, -3\/437, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 52*s**2 - 7748*s + 71. Determine z(149).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6434 - 4150. What are the prime factors of d?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(15\/(420\/8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 975 = 37*r + 33*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13900*u + 552. List the prime factors of n(-4).\nAnswer: 2, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.2 in 0.4, -23, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-5)\/b)*b)\/b*b)\/b*b\/(((b**11\/b)\/b)\/b*b))**16*((b**(-1\/3))**(-8))**17 assuming b is positive.\nAnswer: b**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4512\/5922)\/((-16)\/(-10)).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113312 + -3?\nAnswer: -113321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = 4*h + 11, -h + 7 = 4*m. Let o be (-39)\/(-26)*(-64)\/(-6). Let y = 21 - o. What is the remainder when y is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 - 5026*z**3 - 30082*z**2 + 5026*z + 30084 = 0. What is z?\nAnswer: -2507, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 7*i**3 + 0*i + 1\/5*i**5 - 11\/5*i**4 - 5*i**2.\nAnswer: i**2*(i - 5)**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2143689*g**2 + 2633065*g.\nAnswer: -4287378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4121 (base 5) to base 12\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*k - 155*k + 34 = -120. Suppose 4*j = -0*j + 40. What is the remainder when j\/(-4)*-1*26 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 878122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2318368*z - 1159174*z - 1159188*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 8 = 10. What is the second biggest value in 4\/5, -4, p, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f + 197*f - 22*f**2 - 247*f + 6*f**2 - 13*f**2.\nAnswer: -29*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*o - 3*s, -426*s + 425*s - 1 = -4*o + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-276))\/(2\/14*-2)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63 + 76 + -131 + (64 - -2 - 2)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6))\/((-1045)\/(-836))*(-369)\/3?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 + 715049?\nAnswer: 714a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aas when three letters picked without replacement from {s: 17, a: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 22*z**2 + 33*z - 15. Let r be x(-23). Let h = r - -634. Let t = 4723\/7 + h. Find the common denominator of 15\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -105836?\nAnswer: -105836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 115 = 4*c + 101, 5*k - 2*c - 7 = 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-3))\/((-5)\/(-15)). Let x be 5\/a - 4\/(-14). Solve -x = -2*z - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.98 + -290.98. Let s = 287.99849 + y. Round s to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let o(k) = k**2 + 14 - 165*k + 0*k**2 + 174*k. Let l be o(-6). Sort l, 0, b.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 2 + -1*sqrt(475) + 2)**2.\nAnswer: -2420 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 9\/2*j**2 + 3\/5*j**5 - 9\/4*j**4 - 62 + j**3 - 6*j. Determine c, given that t(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 13. Calculate h(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + 2*c**2)*(-3*c**2 - 3*c**2 + 4*c**2) + (3*c**2 - c**2 - 3*c**2)*(0 + 0 - 3*c**2) + 80*c**2 - 2*c**4 - 77*c**2 + c**4.\nAnswer: -2*c**4 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 131. Which is the closest to 0? (a) z (b) -2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - -12 - ((-2 - -1 - 3) + 15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 0.1 (c) -2\/13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 10*f**2 - 17*f + 118. Determine r(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -125*r + 121*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.59261m in micrometers?\nAnswer: 87592610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 13*r**2 - 2*r - 27. Let j = 3957 + -3970. What is x(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 + n + 3. Determine m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u + 4. Let l = 1997 - 2003. Let o(t) = 3*t + 1. Determine l*b(x) + 21*o(x).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1458.033 - 1.967. Let q = s + 1459.3026. Let v = 0.71 + q. Round v to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.208\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3040821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -3\/2*j**2 - 2*j + 5. Differentiate t(g) with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -29. Suppose -2*c - 3*s + 63 = 0, -2*s + 4*s + 48 = 2*c. Let b = c + z. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.844141 minus -1?\nAnswer: 3.844141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b - 1664. What is v(98)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 - 30*d + 36*d**2 - 23*d**2 + (-5*d + 4*d + 2*d)*(-2*d + d + 2*d) - 1 + 1 + 2*d**2 to u + j*d + t*d**2 and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 186*h**2 - 1345*h - 1167. What is g(193)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y**2 - 1. Suppose 0*v = 3*v + 12. Is f(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 9, g: 1, e: 1}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 l when three letters picked without replacement from {b: 7, l: 1, e: 7, j: 1, k: 1}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002273847 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 286183663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17282, 17265, 17224, 17153, 17046, 16897, 16700, 16449?\nAnswer: 16138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 87, 1.27, -0.1?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4577930, 9155858, 13733786, 18311714?\n\"Answer: 4577928*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*g - 12. Solve 0 + g = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 75*l**2 + 5*l + 75.\nAnswer: -5*(l - 1)*(l + 1)*(l + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00892349616 rounded to five decimal places?\nAnswer: -0.00892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by ((-20)\/3)\/((144\/27)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 1. Let p be ((-6)\/7)\/(((-3)\/(-12))\/((-28)\/16)). Find the third derivative of -7*o**2 - 4*o**5 + 95*o + p*o**6 + r*o**2 - 65*o wrt o.\nAnswer: 720*o**3 - 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9188 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 752477 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:14 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.1. Let k = -0.081 - -0.481. What is the third smallest value in k, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Suppose -6*n - 20 = -n. Let d(t) = -25*t - 7 + 9*t + 11*t. Let b(c) = -3*c - 4. Let z(v) = n*d(v) + 7*b(v). Calculate z(a(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117 + -864786?\nAnswer: -864669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193 - -622. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyhh. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*l = -16, -5*p + l = -p + 4. Suppose -7*i - 7*i + 56 = p. Solve -4 + 24 = i*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzbi when four letters picked without replacement from izzvwwvbiwabaaa?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7436, -54, -3\/4 in increasing order.\nAnswer: -54, -3\/4, -0.7436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*g + 5*d, -2*g + 2*d + 2 = 3*g. Solve 14*q - 54 - g = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306 - -431. Let v be (-2)\/(-12) + y\/(-30). Suppose -2 = 3*l + 4*f, -4 = 5*f - 3*f. Sort v, l, -3.\nAnswer: v, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 125?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-720)\/(-180))\/((-9)\/((-162)\/24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*g - r = 309 + 59, -r = -2*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o**2 + 0)*(3 + 3 - 7)*(-120*o - 285*o + 66*o).\nAnswer: 678*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let w(f) = -f**2 - 125. What is c(w(h))?\nAnswer: 2*h**2 + 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z + 12. Suppose j + 9 = -2*c + 3*c, -2*c - 3*j - 7 = 0. Let s(q) = 3*q + 4. What is c*a(t) - 11*s(t)?\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74255 smaller than 74253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -35, -117, -271, -521, -891, -1405?\nAnswer: -2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 735203652 to the power of 1\/3, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 + 730*b**3 - 129380*b**2 - 730*b + 129381 = 0. Calculate b.\nAnswer: -1, 1, 303, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4117 - 4144. Let o = 0.06 - -25.94. Let p = w + o. Put p, -0.7, -2\/5 in decreasing order.\nAnswer: -2\/5, -0.7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -877073812*i**5 - 198818889*i**2 - 2*i wrt i?\nAnswer: -52624428720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/80 + 5*u**5\/48 + u**4\/8 - 43*u**3\/6 - 17*u**2. Let s(n) be the first derivative of r(n). Factor s(q).\nAnswer: -(q - 3)*(9*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0378 - 0.0622. Let s = -101\/70 - 2\/35. Which is the nearest to m? (a) 14\/3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 877537, 877517, 877471, 877387, 877253?\nAnswer: 877057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**4)**(-27))**(-1\/9))**22 assuming j is positive.\nAnswer: j**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59\/30 - 11\/6. Let k(j) be the first derivative of -1\/5*j + c*j**3 - 2 + 1\/10*j**2. Factor k(t).\nAnswer: (t + 1)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + ((sqrt(72) + sqrt(72)*2 - sqrt(72)) + -3 - sqrt(72))**2.\nAnswer: -36*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*k + 4*o, 28*k - 2*o = 26*k + 16. Solve -m + 4 = -q + 14, 0 = k*q + 4*m - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 5*s**2 + s - 2. Let r be v(5). Let m = 27 + -14. Suppose 0*g + x = -3*g, 2*g + 5*x = -m. Which is the smallest value? (a) 0.4 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, 6, 36.7 in descending order.\nAnswer: 36.7, 6, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 210 = 29*j. Let h(d) = 9*d + 25*d - 95*d + j*d. Let n(c) = -7*c. Give h(n(b)).\nAnswer: 182*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 9 - (-5 - 10 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -265669 rounded to the nearest 1000?\nAnswer: -266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128931 is divided by 8684.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-40)\/15 + 3. Let i = -0.07 - 0.03. Let w = -312\/943 + 10\/41. Put w, b, i in descending order.\nAnswer: w, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124\/3 - -41. Sort -1\/7, a, -0.1 in descending order.\nAnswer: -0.1, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5568, 22117, 49642, 88143?\n\"Answer: 5488*p**2 + 85*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -147*-3\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.346757512 rounded to four decimal places?\nAnswer: -1.3468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.91 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289755 - -39586548.\nAnswer: 39296793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2269*a + 2273*a = -5*j + 15, -3*a + 2*j = 3*j + 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + 222\/5. Suppose -2*w + z = -0*w - 22, 4*w + 5*z = a. Let j(m) = -2*m - 6. Calculate the least common multiple of j(-5) and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -17401214?\nAnswer: 13\/17401214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22*(28\/8)\/7. Let t(w) = -w + 22. Let c be t(0). Let f = k + c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*p*x**4 - p*x**2 + x**5 + 3*x**2 + 1293*x + 1 wrt x?\nAnswer: 3072*p*x + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 50, 2*u = -5*d - 29006 + 29051 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107210420803 + 18.8?\nAnswer: 1107210420821.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7164 or -7117?\nAnswer: -7164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 6*p + 11*p)*(-288*p - 582*p + 354*p).\nAnswer: -5160*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193597757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2552*n + 12 = -2551*n - 2*o, -7 = 3*n + 3*o - 61 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*w, -2*w = -5*h - 54 + 19. Let b = 8 + h. Suppose -15*i = -16*i + b. Solve p - 3*v = 15, -4*v - v = -i*p + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 3\/71 (c) 3 (d) -36\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16900 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -0*w. Suppose -3*g = -2*b + 4, w*g - 2*b + 16 = 5*g. Let k(c) = -3*c**g + 4*c**2 + 2*c**2. Let p(a) = 2*a**2. Calculate k(p(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(((v*v**(1\/11)\/v*v)\/v)\/v)*v\/((v**(2\/11)*v*v*v)\/v*v) assuming v is positive.\nAnswer: v**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/8 and 41\/10587?\nAnswer: 84696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -6 (c) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 47 - (108 + -40 + -61)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 364603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 347597?\nAnswer: 7\/347597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -20, j + 0*j + o + o + 20 = -23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 134433122?\nAnswer: 134433204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9)*w*(w*w**1*w*w*w)\/w)**(1\/32)\/(w\/((w*w*w*w**(-2\/9)*w)\/w)*w*(w*w**(-1\/2))\/w*w*w)**1 assuming w is positive.\nAnswer: w**(-41\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -4*(-12)\/16 - (-4 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273.84334 + -0.00666. Round k to the nearest integer.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwggkmmggm. What is prob of picking 1 w, 1 m, and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6529, 52416, 176965, 419506, 819369?\nAnswer: 1415884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/7 in -2\/19, 4, -1\/4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 + 5*d - 2. Let k be q(-5). Let o = -2 - k. Suppose -5 = -5*a - b + 18, -2*a + 5*b + 20 = o. Solve -a*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2\/7, -21, 1\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -116\/3, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15*f**3 + f**2 - 1. Let o be u(-2). Let z(s) = 99*s + 11. Let a be z(3). Let j = o + a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 < 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.76 + -0.04. Let m = 1.9 + h. Which is the biggest value? (a) m (b) -10 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(0 - (-4)\/8). Let p = -1 - j. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318236 is divided by 318233.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236 - -261. Solve -15*j + 10*j - g = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/9, -1, 3.26, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 15*w + 47*w - 15*w - 45*w + 15*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002732 rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b**(2\/17))\/(b**(-2\/7)*(b*b**(-3)*b*b)\/b)*b**(-2\/9)*(b\/(b*b**(5\/6)))\/b*(b**(-4)*b)\/(b\/(b\/((b\/((b*b**(-6))\/b))\/b))) assuming b is positive.\nAnswer: b**(-3539\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 6 - 10. Let a = b + 3. Solve a*y - 2 = -7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i**2 - i)*(-1 + 1 - 3*i) + (2*i + 0*i - i)*(0*i + 0*i - i**2).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (11\/(-3) + -2). Let v(x) be the first derivative of -1\/21*x**6 - 9\/14*x**4 + 2\/7*x**5 + s*x**3 - 4 + 0*x - 2\/7*x**2. Factor v(o).\nAnswer: -2*o*(o - 2)*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 60387796.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**6\/k*k)\/k*k**(-2\/7)*k)\/((k**11*k)\/(k\/(k\/k**1*k))) assuming k is positive.\nAnswer: k**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13609*v**3. Let z(y) = -9072*y**3. Give -5*l(u) - 8*z(u).\nAnswer: 4531*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 12) in base 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2824 and 36\/21533.\nAnswer: 172264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/20 - 7*u**4\/12 + 7*u**3\/6 + 7*u**2\/2 - 188*u. Give n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11892 is divided by 1756?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1192 and -48\/1871291?\nAnswer: 14970328","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 26*q**3 + 8*q**2 - 8*q. Let k(c) = -c**3 + c**2 - c. Give -8*k(i) + o(i).\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1651347982 to the nearest integer?\nAnswer: 40637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 38. Let l(s) = -2*s - 13. Let h(f) = 6*k(f) + 17*l(f). Let m(b) = 144 - 262 + 4*b + 133. What is -5*h(x) + 2*m(x)?\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/4 - 8*w**3\/3 + w**2 - w - 150. Give f(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -5790?\nAnswer: -5790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 2*j + j + 6. Suppose -68 = y - 5. Let z = y + 67. Give v(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 3. Let h be w(11). Let j = -10 + h. Suppose c - j*k = 49, -115 = -4*c - 3*k + 5. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v + 46. Let r(y) be the third derivative of -7*y**4\/24 - 31*y**3\/6 - 2*y**2. Let m(w) = 5*f(w) + 7*r(w). Let o be m(-8). Solve -o = -i - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2*u + 2. Let k be x(-3). Let y = k - 18. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2615 is divided by 202?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58056 and 8.\nAnswer: 58056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:18 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*a + 7*a + 5*m, 0 = a - 4*m + 18. Suppose 2*x - 63 = x + a*s, 0 = x + 3*s - 48. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.4, 1\/3, 0.5, 2\/39 in decreasing order.\nAnswer: 0.5, 0.4, 1\/3, 1\/6, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27 + -1*(1 + 0). Let o(v) = v**2 + 2*v + 78. Suppose 0 = -32*m + 30*m. Let i be o(m). Calculate the greatest common divisor of i and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -195, -388, -585, -786, -991, -1200, -1413?\n\"Answer: -2*o**2 - 187*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -2. Suppose 0 = n*m + 8 + 1. Let b = 160 - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 211\/3 + (-1)\/3. Suppose -k = -5*g + 426, 0*g + g = 4*k + p. List the prime factors of g\/7 - (-10)\/(-35).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 13*g + 15. Let z be v(12). Suppose -z*c + 451 = 160. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 6, 4 in ascending order.\nAnswer: 4, 6, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4\/7, 4, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 7. Suppose -z + 171 = b*z. Let l(c) = c**3 - 8*c**2 + c + 11. Let f be l(8). Calculate the highest common factor of f and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 380\/(-672) + 2*(-4)\/(-64) and -19\/5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -438, -172, 226, 798, 1586, 2632, 3978?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -156*b - 13. Let v be n(-1). Suppose v = -u + 144. Solve u + 0*j - 7\/4*j**2 + 3\/4*j**4 + 1\/4*j**5 - 1\/4*j**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w + 16. Let v(o) = -13 + 18 - 15 - 8*o. Let h(p) = 5*f(p) + 8*v(p). Let q(y) = 1 - 2*y**2 - 1. Determine h(q(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-7))*j)\/(j**(-7\/3)*j)*(j\/(j**(1\/3)\/j*j*j))**40 assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -0.183, 50227, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -93, -198, -345, -534, -765, -1038?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -300320 (base 4) to base 10\nAnswer: -3128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 + 6*w**2 + 14*w + 27. Let c(f) = 2*f**3 + 5*f**2 + 16*f + 25. Let i(s) = 4*c(s) - 3*k(s). Determine i(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -54 + -4 + 23 - -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5437.37*0.4\nAnswer: 2174.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19629 or -24200?\nAnswer: -24200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -243 + (207 - (155 + -70))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316622 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 89210631892.\nAnswer: 89210631892.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37027, -149204, -336529, -599002, -936623?\n\"Answer: -37574*l**2 + 545*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2176*t + 1950 = 2098*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 11 = -5*g + 7, -4*g + 3*x + 15 = 0. Suppose w + p - 10 + 1 = 0, 0 = 2*p. Calculate the least common multiple of w and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.4. Let n = 915.28 - 912.28. Which is the nearest to 1\/2? (a) 0 (b) 2 (c) x (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 744383*n + 24563546. Determine y(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 12.2 (b) -3\/5 (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1542024 + 1024?\nAnswer: -1541000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Let b(o) = -o + 4. Let i(d) = -3*d + 11. Let s be 2 - (-1)\/(1\/6). Determine n*i(h) + s*b(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v + 26*v - 18*v)*(-2 - 2 + 6).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8651 plus 324802?\nAnswer: 324873.8651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x - 2. Let v be z(-2). Factor -1\/4*h**2 + v - 1\/4*h.\nAnswer: -h*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 117*u + 4. Let y be k(-1). Let p = 793\/7 + y. Which is smaller: p or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2318764 and -13.9?\nAnswer: 2318750.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26782 and 95650.\nAnswer: 669550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8) + (-1 - 78\/(-36)). What is the closest to 1\/3 in z, -4, 1.6, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 - -4.29. Let u = 5.52 + -4.1166. Let n = i - u. Round n to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*z + 900 = -883 - 251 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19 + 4*c - 3 - c + 9 - 7*c. Determine w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107.8283 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 23752 + 3*b**3 + 23753 - 71254 + 23749 - 8*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11572002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 1\/2*o**2 - 2*o - 4 + 1\/4*o**4 - o**3. Let t be z(3). Sort -1, 5, t in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p**2 - 4*p - 2. Let x be h(5). Let s(a) = x*a - 3*a + 3*a - 11. What is the smallest common multiple of s(5) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28062 is divided by 823.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/7)*f))**(25\/6) assuming f is positive.\nAnswer: f**(-125\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**2 - 53*l + 586. Does 3 divide u(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46273\/8 - 5794. Calculate the common denominator of k and -43\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000823594631 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 1\/20*p**4 + 31 + 147\/10*p**2 - 7\/5*p**3 + 2*p. Factor u(o).\nAnswer: 3*(o - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.88636 * 241\nAnswer: -2623.61276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11650972?\nAnswer: 2, 23, 126641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 25*j**2 - 2*j - 51. Let s be r(-25). Suppose 0 = -2*d + 4*v - 78, 2*d - v + 81 = 2*v. Let w = -50 - d. Sort 0, 1, s, w in increasing order.\nAnswer: w, s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 287*l**4\/4 - 176*l**3\/3 + 274. Find the third derivative of i(s) wrt s.\nAnswer: 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 81. Let n(d) = d + 18. Let f(h) = -9*n(h) + 2*z(h). Let i(a) = -309*a**2. Give f(i(m)).\nAnswer: 309*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1494, 1492, 1490?\n\"Answer: -2*b + 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3 - 13 - o + o**2 - 3*o - 18*o. Does 4 divide i(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3\/4, 22 in ascending order.\nAnswer: -3\/4, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhuhuuuu. What is prob of picking 2 h and 2 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 3048?\nAnswer: 3048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 2 (c) 1\/609\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:45 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06531 rounded to three dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 30*x**2 - x + x.\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236 divided by -8536?\nAnswer: -309\/2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -104*o + 84. What are the prime factors of f(-18)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59812236223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2\/13*a**4 - 4\/13 - 6\/13*a + 6\/13*a**3 + 2\/13*a**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*h + 215 = 77*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 + 15*u - 2. Let h(m) = 7*m - 1. Let k(d) = -2*h(d) + t(d). Let x be ((-6)\/(-8))\/((-1)\/4). Let w(j) = -8*j**2 + j. What is x*w(n) + 4*k(n)?\nAnswer: -4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181020 divided by -36204.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -8\/3 (c) 3106 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 112*s**2 + 56*s - 162. What is the thousands digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 10\/(-20) + (-54)\/(-4). Solve 20 = q*b - 14*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2444*y**2 - 393*y - 792. Let b be z(-2). Calculate the highest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 385 from 0.4.\nAnswer: -384.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.818, -3\/4, -2\/7, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(29\/4))**(-5\/17)*((r**(-2\/3)*r)\/r)**(-17)\/(r**(-1))**(-30) assuming r is positive.\nAnswer: r**(-2339\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 124*k + 71. Let a be t(5). Let q = a + -681. Calculate the lowest common multiple of q and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0779 (b) 2554 (c) 2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 32*w**3 + 10*w**2 - 3*w - 4. Calculate v(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2713\/7031?\nAnswer: 2713\/7031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i**2 + 20*i + 11. Let x(v) = 747*v - 4471. Let y be x(6). Let m(u) = -3*u**2 - 4*u - 2. Calculate y*m(j) + 2*r(j).\nAnswer: -j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -2.7. Let n = -0.036 - 0.264. Which is the nearest to -0.2? (a) k (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*g - 1 = 27, 3*g = y - 16. Suppose f - v = y*f - 9, -f = -5*v - 3. Calculate the least common multiple of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(3\/(-645)). Suppose -3*b + a = -526. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 291 + 1. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z + 29. Calculate the remainder when m(11) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 38439.\nAnswer: 8\/4271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5013154*y + 10026414*y - 5013459*y.\nAnswer: -199*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1808 divide 606625584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1334 and 2254.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 - 25 = 0. Differentiate -l + 2 - u - l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054786624 rounded to five decimal places?\nAnswer: -0.00548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17591*u = 17589*u, 0 = i - 2*u + 10 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 281*i**5\/10 - 5*i**4\/3 + 10*i**2 + 302*i - 1. Find the third derivative of n(y) wrt y.\nAnswer: 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + 4 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*u + 5*u. Solve -5*b = u, 0 = 5*a - 2*a + 4*b + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 - 2*n - 1\/30*n**5 - 1\/15*n**4 - 1\/150*n**6 - 1\/15*n**3 - 4*n**2. Let o(y) be the first derivative of p(y). Factor o(l).\nAnswer: -2*(l + 1)**2*(2*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 406, 489, 616, 793?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*f**2*q*z + 25*d*q*z - 2*d*z - 4*f**2*q*z + 2*f**2 - f*q + 3*z wrt f.\nAnswer: -6*d*f*q*z - 8*f*q*z + 4*f - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11601945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -489, -2306, -4101, -5874, -7625, -9354?\n\"Answer: 11*f**2 - 1850*f + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20100121212 (base 3) to base 15\nAnswer: 2710e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:30 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p**3 + 9*p**2 - 4*p. Let k(g) = -9 - g**2 + 6*g**3 + 0*g**3 + 2*g + 9 - 3*g**2. Give -3*f(r) - 7*k(r).\nAnswer: -3*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1520*k**2 - 859*k**2 - 667*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 0)*(a - 2*a - 2*a) + (7 - 2 - 3)*(a - 3*a + 0*a))*(-a**2 - 21 + a + 21).\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*5*((0 + sqrt(1377) + sqrt(1377) - sqrt(1377)) + -1))**2.\nAnswer: -450*sqrt(17) + 34454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47953274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = -4*k + 18, 24 = 5*k - 3*w. Let m be 2\/6 - 2\/24. What is the third smallest value in m, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**7*q\/q**(-2\/21)*(q**(-1))**(-35\/4)*(q**(1\/2)*q*q**2)\/(q**0\/(q*q**(1\/2))) assuming q is positive.\nAnswer: q**(827\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2 + -4)**2 + -2.\nAnswer: -24*sqrt(19) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m + 540 = 9*m. Calculate the remainder when 21 is divided by 4\/2 - (18 + m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + k - 13, 0 = -18*k + 22*k + 20 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 7) to base 4\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y - 8. Suppose -y*w + 5*w = 6. Let v be -11000*((-1 - -199) + w). What is v rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**4 + 8*o**3 + 10*o**2 - 5*o + 2. Let i(c) = -808*c + c**3 - c**4 + c**2 + 808*c. Let b(a) = 21*i(a) - 3*m(a). Factor b(k).\nAnswer: 3*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127.9 and 224?\nAnswer: -28649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 1. Let f be (-40)\/(-15)*3\/2. Suppose k = -3*q - v, f*k - 27 = 4*q + 9. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -755, -1700, -3033, -4760, -6887, -9420, -12365?\nAnswer: -15728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -974*s + 964*s + 870. Calculate the remainder when 433 is divided by s.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2 + 4. Let h(c) = -3*c**2 + 3*c - 13. Let o(g) = -7*g**2 + 7*g - 27. Let x(r) = s*o(r) - 5*h(r). Does 6 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4*t**3 + 850*p**4*t + 2*p*t**3 + p - 13*t**3 - 6 wrt p.\nAnswer: 12*p**2*t**3 + 10200*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9204 is divided by 419?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + 186*t**2 - 95*t - 30. Let y be z(-47). Solve -4 = 4*a, -3*j + y = j + 3*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - y + 1. Let f be h(1). Suppose -f*k + 37 = -3*j, 0*k - 4*j - 26 = -2*k. Suppose -o = 5*l - 117, k*o + 4*l = -14 + 515. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (37102\/(-4))\/((-23 + 16)\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 + 6*k + 2. Let j = -2812 + 2816. Let x(o) = o**3 + o. Determine j*x(u) - h(u).\nAnswer: 8*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27361375 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h + 21. Suppose -h + 1 = -5*f. Solve f*p = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1724 (base 11) to base 2.\nAnswer: -100010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 1508.\nAnswer: 42\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90376, -361710, -813998, -1447234, -2261412, -3256526?\nAnswer: -4432570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by ((-34881)\/132)\/(77\/(-44))?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-939)\/((132\/8)\/(-11)).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1491814 = k - 203454, -5*k + 3*n + 8476430 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22828162 to the nearest integer?\nAnswer: 4778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -10. Let j = i + -4. Let s = j + 13.2. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1)*15\/(-6). Let p be ((-196)\/35)\/((-2)\/h). Find c such that 10 - 36 + 25*c**2 - 30*c + p + 17 = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 10*b**2 - 14*b - 27. Let c be s(11). Let x be c\/8*(-2)\/3. Suppose -x*w = -5*g - 400, -3*w + 4*w - 56 = -5*g. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50923\/18 + -2827. Let s(z) = -27*z - 6. Let f be s(-3). What is the common denominator of (15\/f)\/((-8)\/82) and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.028\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 180*d**4 + 2*d - 9. Let a(h) = -270*h**4 - 3*h + 14. Let z(u) = 5*a(u) + 8*k(u). Find the second derivative of z(x) wrt x.\nAnswer: 1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 2*n + 14. Let l be f(-6). Let s = l - 111. What is the highest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 190*z + 2. Let y be g(1). Let k = -17 + 8. Calculate the remainder when 77 is divided by y\/9 - (-12)\/k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -162a9 + -2?\nAnswer: -162ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (7 + -5)) + 5*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1822*h + 1777*h - 630 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:36 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, t: 2}. Give prob of sequence ptpt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**6 - m**5 + m**2 - m + 1. Let h(t) = -9*t**6 + 3*t**5 - 15*t**2 + 3*t - 3. Let o(u) = -h(u) - 3*l(u). Find the third derivative of o(k) wrt k.\nAnswer: 1440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*n**3*w - 278*f*n + 46*f*w**3 - 28*n*w**3 - 10*w**2 + 57*w wrt n?\nAnswer: -6*f*n**2*w - 278*f - 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*y + 1142*y - 250*y.\nAnswer: 1009*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 19*o - 8. What is the second biggest value in o, 2, -144\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 2*x**3\/3 - 10*x**2 - 12*x + 81. Let j(p) = p**2 - 10*p - 6. Let t(y) = 4*d(y) - 9*j(y). Give t(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/21 + 2 - (-6)\/238. Which is the third biggest value? (a) -4 (b) l (c) 1\/5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 4. Let x(u) = -3. Let m(i) = 2*h(i) - 3*x(i). Let y be m(-2). Let p(c) = 5*c + 3. Does 21 divide p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 21. Let p(o) = 15*o - 11. Is p(z) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let j(f) = 20*f - 12. Suppose -151*r + 197*r + 26 = -20. What is r*j(l) - 12*t(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 (base 6) in base 13?\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/5162*(-145)\/(-30)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 107 + 109 + 107 + 61*j - 431.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1 + 0 - s - 2 + 2. Let b(d) = 4*d**4 + d - 2. Let u = 7 - 6. Let n(j) = u*y(j) + b(j). Differentiate n(c) wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 4*s**2 - 3*s + 4*s + 8*s to x*s**2 + v*s + o and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-53469)\/10968)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -0*s + 3*s. Let o = 16 + s. Let h be (-2 - 2) + 3 + o. Solve 5*i - 4*u = -2, i + 4*i + 18 = -h*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17594957\/5 and 3518991 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 37*g - 40*g = -17, -5*r - 5*g + 25 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h + 82*h + 3782 - 1000 + 2670 = 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5056 (base 7) in base 4?\nAnswer: -123130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkeu when four letters picked without replacement from {k: 1, f: 1, e: 2, z: 1, u: 2, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 4*a**2 + a + 3. Suppose 0 = -5*m + 3*m + 22. Suppose -2*t + 2*u - 2 + 8 = 0, -5*u = -4*t + m. Determine w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -0.010628452.\nAnswer: -34.989371548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Let b(a) = a + 1. Let w(y) be the third derivative of y**4\/24 + 2*y**3\/3 + 427*y**2. Give d*w(u) + 3*b(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -27*f**2 + 1807*f - 27773. What is l(43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 5*v + v)*(-4*v + 0*v + 5*v) + (v + v - v)*(-13360 + 26672 - 13312 + 38168*v + (-1 + 5 - 3)*(5*v - 3*v + 0*v)) to z*v + o*v**2 + w and give o.\nAnswer: 38168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 2, 5 in decreasing order.\nAnswer: 5, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1961645 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 2, 0.1036, 4 in decreasing order.\nAnswer: 4, 2, 0.1036, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5))**5*b**(-1\/15)\/((b\/(b**(1\/8)*b))\/b*b) assuming b is positive.\nAnswer: b**(127\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**2 - 21*l**3 - 40*l**2 + 2*l + 5*l**2 + 17*l**2 + 20 + 5*l**2 as k*l + u*l**3 + f*l**2 + s and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:32 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8930)\/2914 - (-2)\/(2\/3). Which is the nearest to h? (a) 3 (b) -1\/2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32382?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*u + 10 + 4, 5*i + u = -11. List the prime factors of (i - 2)*12\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 87 = -3*q - q, -2*q + 47 = -3*y. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 852554681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*r = 10, -36*r + 35*r - 32 = 5*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*h**2 + 91*c*h - 455*c wrt h?\nAnswer: -2*c*h + 91*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (5 + -1 + (-1 + sqrt(245) - sqrt(245)))*1))**2 + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 126 = -22*d, 3*n + 523*d = 522*d + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -49. Solve 4*b + 2 = -u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 130 = -12*q. Let a(d) = -23*d + 4*d**2 + 67 + 23*d - q. Let b(w) = -2*w**2. Determine b(a(p)).\nAnswer: -32*p**4 - 32*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 52 = -5*c. Suppose 27*p - c*p = -300. Let l = -124 - p. What is the highest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) - 6\/15. Suppose 6*s = 5*h + 3*s + 5, o = -5*h - 5*s + 35. What is the second derivative of f - f + f**h + f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1728704406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386900\/3 - 128958. Let v = -2 - -5. Find the common denominator of x and -4*v\/(-54)*-29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 - (3 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 32*v**2 + 545*v - 2844. Calculate a(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*4*sqrt(2057)*-3 - (1*(sqrt(2057) + 0 + sqrt(2057)) - (sqrt(2057) + 3)*-3))**2.\nAnswer: -12100*sqrt(17) + 6222525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 511 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000404873 to six decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from {v: 3, j: 4, t: 1, r: 4, h: 1, d: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 + (-5 - -89). Let c = l - 52. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10997 - 5850. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -9604*k**4 + 784*k**3 - 16*k**2 = 0.\nAnswer: 0, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5+121.6732\nAnswer: 116.6732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/31 and 8\/4701.\nAnswer: 145731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 18 = -2*d. Let x = -3 - -7. Calculate the greatest common factor of x and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-100)*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27547 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.74647 millennia to months.\nAnswer: 8957.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 381453.3 from 199.\nAnswer: -381254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/42 + (-2)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-21*(-1)\/3. What is the greatest common divisor of 63 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g. Let y(j) = -25*j**2 - 36*j - 2. What is b(y(r))?\nAnswer: -425*r**2 - 612*r - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 - 23*g**4\/12 - 15*g**3\/2 + 36*g**2 + 1. Factor a(j).\nAnswer: -(j + 1)*(j + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.927 times -0.1\nAnswer: -0.0927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 10. Suppose 3*t - 28 = -t. Let b be q(t). Let l = b + 65. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4030, 4153, 4496, 5173, 6298, 7985, 10348?\nAnswer: 13501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5))**1*(d**(-2\/21))**(-8) assuming d is positive.\nAnswer: d**(227\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 13*b**2 + 30*b.\nAnswer: b*(b + 3)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p - 51. Determine i(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 18*u + 105. Let g(i) = -12*i + 3. Let z be g(-1). What are the prime factors of p(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 0.3, -17.656241?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 r when three letters picked without replacement from rppzrrrprprrrzrz?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1152*j + 34477. Give h(30).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.22, -2, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6 = -4*c + 9*c, 5*f - 27 = 4*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-1)\/((-6)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9265, -18528, -27787, -37042, -46293, -55540, -64783?\nAnswer: -74022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1230461 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23242a - -3?\nAnswer: -232427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Let z(b) = -b**3 - 3*b**2 + 7*b + 15. Let k be z(-4). What is the second derivative of 4*a**3 - 4*a**3 + 14*a**s - k*a + 4*a wrt a?\nAnswer: 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 - m + 1. Let y be g(0). Let z = 236 - 231. Suppose -4*h = -5*r - 54 + 21, 0 = -r - z. Calculate the greatest common factor of y and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/(-76) + (2 - (-3 - -6)). Solve x = -24*s - 34*s - 116 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 44*c + 254. What is k(-37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 15) in base 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*k + 1057 - 519 + 1499*k**3 - 537 wrt k.\nAnswer: 8994*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (-2)\/(-6)*21. Let b = 1 + -3. Let d be (b\/(-1))\/1 + 12. Calculate the highest common factor of d and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 1 + 1. Let n(z) = -5*z**3 + 1. What is the lowest common multiple of 5 + (-2 - 1) + r and n(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/11, 0.5, 0.387?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 5.05. Let a = 3.7 - -1.6. Let f = q - a. What is the closest to -0.1 in 1, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148324195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5 - 4. Suppose 3*y - t - j = -14, -5*y - 30 = -4*t. Let x(b) = -1 + 7 - 1 - 3 + b. Calculate x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**0\/u*u**(2\/5)*u*u*u**(-1\/12)*u\/(u**11*u) assuming u is positive.\nAnswer: u**(-581\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -899, 0.3, 0, 4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40369 divided by 390?\nAnswer: -40369\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19117 + -0.20883. What is the nearest to -3 in 0, t, 0.2, -11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*b + 10 - 8.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -464 by 58.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = -18*o - 390. Which is the nearest to o? (a) -0.2 (b) -2 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4476137?\nAnswer: 4476137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1222220202 (base 3) to base 13\nAnswer: 14b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25a - -2c?\nAnswer: -22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 175, -19, -0.08?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7292 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s - 7 - 7 - 4 + 28.\nAnswer: 21*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 9:57 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 11*u**2 - 14*u - 6. Let f be c(-6). Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 + -125.4. Let u = 1.9 + -0.3. Let g = f - u. What is the second smallest value in 0.4, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 10, 0*m - 3*c = m + 4. What are the prime factors of (-2*(6 + -5))\/(m\/(-234))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 5*t + 6. Let z(m) = -m + 1. Let p(g) = l(g) - 6*z(g). Let d = -8 - -12. What are the prime factors of p(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -182686, -182684, -182682, -182680, -182678, -182676?\n\"Answer: 2*d - 182688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*b, 2*b + 2*l = -8 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -108, -107, -108, -111?\n\"Answer: -p**2 + 6*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 250. Find the second derivative of 12*b + j - 107 + 12*b**3 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1155, 3096, 5037, 6978, 8919, 10860?\nAnswer: 12801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 2362?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(1 + 4*-1). Suppose j*x - f - 7 = 3*f, -f - 16 = 4*x. Let s = 185.95 - 190.95. Put -0.1, x, s in descending order.\nAnswer: -0.1, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 3*k**3 - 135*k**2 + 261*k - 129 = 0. Calculate k.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 748 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3 + 6 - 1)*(8 + 1 - 3)*(-2 + 5 + 1)*(-2*x + 3*x + x).\nAnswer: -96*x**2 + 96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/8 + 7*f**3\/2 + 147*f**2\/4 - 32*f - 3. Let p(u) be the first derivative of y(u). Factor p(t).\nAnswer: 3*(t + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + 20 + (-26 - -31 - (-1 + -12)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a + 4. Let t(p) = -3 + 6*p - 3*p + 2*p + 0. Let d(n) = 5*j(n) + 8*t(n). Determine d(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 34. Let t be (y\/10)\/(6\/8). What is the units digit of (t\/3)\/((-4)\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 2)*(v + 2*v + 0*v) - v + 5*v - 3*v to the form h + s*v and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 17*y**4\/4 - 5*y**3\/3 - 2*y**2 + 137. Let f(g) = -25*g**3 + 7*g**2 + 6*g. What is 5*f(m) + 7*j(m)?\nAnswer: -6*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 2)\/(13 + -14). Suppose -14*t + u = -112. Solve 5*z = -2 - t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 371 + 107 = -4*q, c - 280 = -4*q. What is the least common multiple of 2634 and q?\nAnswer: 31608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*h + 5. Let r = 220714.5 + -220715. Put r, -0.3, h, 0 in decreasing order.\nAnswer: 0, -0.3, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2526 minutes in milliseconds?\nAnswer: 15156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -671.194 and -10.6335.\nAnswer: -681.8275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -7, -20, -37, -58?\n\"Answer: -2*a**2 - 3*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.740299 rounded to 2 decimal places?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*s - 14*s - 8 - 5*s + 19*s wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -0*u. Let f = 12 - u. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, h: 5, o: 2}. What is prob of sequence uo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 1 - 6*c**2 + 3*c + 6*c**3 - 5*c**3 + 4*c. Let p be y(5). Let g(m) = 32*m**2 + m - 2. Is 31 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -27*y**6\/8 - 3*y**5 - 5*y**4\/6 - 22*y**2. Factor z(w).\nAnswer: -5*w*(9*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 18*u - 17. Let f be q(17). Suppose f = 17*d - 2033 - 2251. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/6 + -10\/3. Let i = -4.65 - -0.15. Let k = i + 5. What is the closest to 1 in 4, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:11 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150*d*x - 29*d - x with respect to x.\nAnswer: 150*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*q - 3*u, 0*u + 4*u + 196 = 5*q. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:32 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.5 in 3, -33, 4, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 6:54 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7*k - 2*k = 25, -2*g - 4*k + 24 = 0. Let b(c) = 5*c - 27. What is the remainder when b(15) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132804131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -1251, -1956, -2733, -3612, -4623, -5796, -7161?\nAnswer: -8748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -3. Suppose 3*r = 5*n - 70, 4*n = n + r + j. Suppose -32 = -0*t - 4*t. Solve l = 3*l - t, -3*l = -m - n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384244 divided by 188?\nAnswer: -7363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2141524 by -409.\nAnswer: 5236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**7\/105 - x**6\/60 + x**5\/30 + x**4\/12 + 4*x**2 + 16*x. Let c(j) be the first derivative of t(j). Factor c(u).\nAnswer: -2*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 p when three letters picked without replacement from psslptssssssjsts?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8 and 37\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 23*o + 84. Let q = 391 + -385. Is l(q) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6982, -6980, -6978?\n\"Answer: 2*y - 6984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1155*a**3 + 4*a**2 - 5*a - 4. Let t(h) = 2*h. Let y be t(-2). Let f be o(y). Round f to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-140)\/21 + 7)*(1 - 0). Factor 2\/3*h**3 + 0 - j*h**4 - 1\/3*h**2 + 0*h.\nAnswer: -h**2*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**3 + 1313970*b**2 + 17248*b + 265?\nAnswer: 114*b + 2627940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(468)*-4 + 5)*-6.\nAnswer: -144*sqrt(13) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*l + 863, 4*l - f + 114 - 1280 = 0. Calculate the remainder when l is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -86*r**2 + 2*r - 2. Let v(d) = -2*d. Calculate v(t(h)).\nAnswer: 172*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -13, -1, 27, 77, 155?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l + 10. Let t be v(0). Let g = 7 - t. Let f be -1 - g - 4\/2. Solve -3*p - 5*a - 18 = f, 0 = 2*p - a - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 9. Suppose -2*g = 4*m - 32, 5*g = -2*m + 60 + u. Calculate the lowest common multiple of 4 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(136\/(-3808))*10\/7?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 92*a + 163477. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 9364824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 259 and 381248.\nAnswer: 381248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 27634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 5*h - 2. Let q be y(-6). Let v be 6016\/(-40)*3750\/q. Round v to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2 + -7)\/18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-3 - -2) - -28. Let b = 46 + -22. What is the highest common factor of c and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6)**(3\/5)\/((k*k**(-4\/21)*k)\/k**(-2\/33)))**10 assuming k is positive.\nAnswer: k**(1332\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.973 + -0.027. Let w = i - -24.1. Let m = w + -1.19. What is m rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunu. What is prob of sequence unnu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 783896 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 3 - (10 - (34 + 11))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 425*z**3 + 9*z + 2. Let a(i) = 848*i**3 + 15*i + 3. What is 3*a(d) - 5*y(d)?\nAnswer: 419*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 240. Suppose -4*b - w + 31 = 0, 2*w - 6 = -0. Let v(t) = 2*t + 6. Let c be v(b). Calculate the highest common factor of j and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 + 58. Let k = 149 + y. Suppose 2*q + 3 = b, q = -2*q + 3*b - 9. Solve -k*n + 15 = -q*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1923684 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 91753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 99655440 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: 8.9 times 0.4\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 9202*r\/9 - 9196\/3.\nAnswer: -2*(r + 3)*(r + 4598)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65533662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 27, 0, 11\/13, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 + -496?\nAnswer: -4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -6, 1592?\nAnswer: 1592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*w)*(77 - 7 + 79) as n*w + o and give n.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - (-82 + 44))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))**(1\/22)\/(o\/(o**1\/o))**24*o\/o**(-6)*(((o*o**6)\/o)\/o)\/o*(o**1\/o)**19 assuming o is positive.\nAnswer: o**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1976 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.472 + -0.528. Let o = 16\/17 - 114\/85. Which is the smallest value? (a) -12 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-28)\/(-140))\/((-3)\/5))\/((-3)\/621801) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4\/3, 36250, 2\/9, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 315\/49 + (16 - (-324)\/(-21)). Let l be (-1 + 27)\/(2\/2). Solve g = -4*f + 10 - l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221862 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - -118. Suppose -2*p - b = -188. Solve -2*y + 25 = -3*u - 0*u, 35 = 2*y - p*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -706408637 + 91434.\nAnswer: -706317203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 13. Let x = 4 + 2.9. Let c = u - x. Sort 2\/7, c, 2\/3.\nAnswer: c, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21065, -45481, -69901, -94325?\nAnswer: -118753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, -10, 2, -5.\nAnswer: -10, -5, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**2*x**3 + 7*o**2*x + 4*o**2 + 156*x**3 + 1 wrt o?\nAnswer: 6*o*x**3 + 14*o*x + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-12)\/3 - 52). Let r = z + -418\/7. Find the common denominator of r and ((-2)\/(-36))\/(3\/84).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -3*z - 34. Let n = -23 - z. Suppose 0 = -p - 3*w + 11, 0 = -4*p - 3*w + 16 + n. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 4834027 - 2*p**3 - 4834027.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29774390 is divided by 1200.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**2 - 8*q**2 - 13*q**2)*(2 + 2 + 1)*(0*q - 2*q**2 + 0*q) as g*q**3 + k + n*q + i*q**2 + a*q**4 and give a.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7696 - -9696. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 198?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, g: 1, l: 6, x: 6}. Give prob of picking 1 g and 3 o.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 85940.083\nAnswer: 17188.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 61 = 5*x - 5*b, 2*x - 4*b = -140. Let q = -48 - x. Suppose 65*f = -29036 + 29491. Calculate the greatest common factor of q and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.5, -1\/4, -48\/7, -0.1 in increasing order.\nAnswer: -48\/7, -1\/4, -0.1, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3)*(11*p - 35 + 35) to the form r*p + m and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -616 - 700\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -7. Let f = p + 56. Let l be 0 - (2 - (4 + 1)). Solve f*x = -9 - 7, 0 = -l*g - 2*x + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-12))\/m)\/m**(-8)*(m**(-3))**(-17) assuming m is positive.\nAnswer: m**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 4)*(-12)\/(-16)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2259 and 128914.753?\nAnswer: 128914.9789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*-1)\/(-4*sqrt(11)*-3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32045 and -3019?\nAnswer: -96743855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136659972.\nAnswer: 2, 3, 107, 106433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 1248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0147846 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11037199*q - 11037207*q + 22074398*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-48))\/((-35)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -36 - 6. Let l be (-34)\/o*(-4 + 1). Let b = 225\/28 + l. What is the biggest value in 2, 0.1, b, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pehomeeohh. What is prob of picking 1 e, 1 o, and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7146 - 7865.3. Let q = 691 + l. What is q rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(21\/10))\/(2\/(-24)). Let s = 57 - b. Calculate the remainder when 24 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 383 = 4*n - 525, 4*m - 1827 = 3*n. Suppose -6*k + 444 + m = 0. Let u be 8\/10*255\/34. Calculate the greatest common factor of u and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a + 220*a - 49*a = -2034 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.4 - 17.1. Let p = v + -1.3. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 - 90*r - 69. Let t be p(9). Solve -42*x + 36*x = t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/4 - 2*k**3 + 7*k**2\/2 + 9*k + 2. Suppose -2*z - 17 = 3*r - z, 0 = -2*r + z - 18. List the prime factors of g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -26 + (-173 - -190) - (11 - 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-16 - -4 - -17 - (6 + 0)) + -38).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - (7 + 0)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 6)*(4 + 4 - 7) + 0 - 2 + 1 - 3 + 3 + 2)*(22*f + 8*f - 9*f).\nAnswer: 189*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -129568 divided by 1052?\nAnswer: -32392\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*r + 2*r + 56, -4*r - 23 = -w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 11455221?\nAnswer: 11455233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 522*v**3 - 2*v + 1. Let i be d(1). Let b = i + -283. Suppose -5*r + b = -3*a, r + a = 4*a + 50. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 9:26 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(57))\/sqrt(3)*-6.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a. Suppose 0 = -a*c - 5*c + 25. Let h = 3 - -3. Solve -3*m = -2*s - 0*m - h, 5*s - c*m = -10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o + 70 = 20*o. Let l(f) = -3*f**2 + 32*f + 5. Let g(k) = 4*k**2 - 48*k - 7. Calculate o*g(p) - 7*l(p).\nAnswer: p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -111 + 175\/2*z**2 - 88*z. What is the first derivative of d(m) wrt m?\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106569 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11666989 rounded to the nearest 100000?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 5*z - 5. Calculate t(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + -2 - (-3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Let p(i) = -831251*i**2 + 5*i - 4. Let g be p(d). What is g rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 56, -3*t + 46*i - 17*i + 162 = 26*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 greater than -1.43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240)\/(sqrt(60)\/sqrt(5)))**2*-3 + 4.\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/5 + -2\/15. Let r = 39.98 + -43.68. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4))\/(((-25)\/10)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 72. Calculate j(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*i - 978 = 0, -8*i = q - 10*i - 194. Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from danccantananttctcwdc.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-206)\/2884*(-8)\/(-154)*-7.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 14) in base 5?\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -24 (b) 0.2 (c) -3 (d) 49 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 490480 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1696 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114680 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/2)\/((-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 2, o: 1, c: 2, h: 1}. What is prob of picking 1 o, 1 h, and 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 38. Let d be p(11). Sort d, 0.7, -5, 0.5.\nAnswer: -5, 0.5, 0.7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:29 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((4\/(-12))\/(14\/12)). Suppose -7746 = -i*c - 179. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2 - 50952*z + 1224576 = 0.\nAnswer: -17008, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 32 = 4*h, -4*w + 12 = 3*h - 13. Let f(m) = -402 + 402 - h*m. Let v(a) = -3*a**2. Calculate f(v(u)).\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*f - 19, s + 4*f - 16 = -0*f. Suppose -4*v = -5*v - 5*p + 1, p = 0. What is the smallest value in v, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4*r**3 - 681*q**4 - 32*q**2*r**3 + 5*q**2*r wrt q.\nAnswer: 24*q*r**3 - 16344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21197\/12 + -1755. Find the common denominator of 6\/(-15) + (-19)\/(-90) and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1376 and -0.2.\nAnswer: 275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/25 (b) 4 (c) -4.1 (d) -2\/11 (e) -0.4 (f) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 1 - 90. Let o = z + 176. List the prime factors of o.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 9*i**2 + 20. What is the least common multiple of 30 and t(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 3850?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 945*i + 1091?\nAnswer: 945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 40. Let g(y) = 7*y**2 + 6*y**2 + 14 - 31 - 2*y + 16. Give g(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 - 3*b + 3*b + (2*b**2 - b**2 - 2*b**2)*(-b + 0*b + 3*b))*((-3 + 2 + 0)*(-5 + 3 + 3) - 2 - 1 + 2) as w + t*b**2 + m*b**3 + x*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9159 and 25671?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2884091.999848 + 2884065. Let p = -27 - u. Round p to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -9, -9510?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69003, 68841, 68401, 67545, 66135?\nAnswer: 64033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 3:13 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrryyrrrryy. Give prob of picking 3 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772722?\nAnswer: 2, 3, 42929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*f - 1 = -8, 2 = -3*r + f. What is the common denominator of -1 + r - 104\/(-18) and 4\/6 - (-495)\/(-216)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*n + 20 = 7*k, -2*k - 5*n = -24. Suppose -4 = 6*y - k*y. Let b be (-2)\/4*-4 - y. Solve b*f = -2*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3 - 373*t - 2941 with respect to t.\nAnswer: 3*t**2 - 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -5 (b) 0 (c) 7\/4 (d) 10\/19 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 3.99. What is the second biggest value in g, -0.5, 1\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3*s**4\/4 - 21*s**3 + 57*s**2 - 810. Factor g(t).\nAnswer: 3*t*(t - 19)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-16))\/(-15)*2\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**3 - 14059*g**2 - 3330968*g - 17155324.\nAnswer: -(g + 466)**2*(15*g + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203372512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -3.95. Which is the smallest value? (a) 1 (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 9 - 4*k**3 + 7 + 8*k**3 - 2*k**2 + 12*k - 3*k**3 in the form s*k**3 + n + h*k**4 + a*k + g*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -210201201110 (base 3) in base 13?\nAnswer: -11c8b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/3 - 6918941*f**2\/3 + 5983969799920*f\/3 - 2991983170225\/3 = 0.\nAnswer: 1\/2, 1729735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(2\/3). Let b = 10 - w. Calculate the remainder when 54 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w + 13. Let s(g) = -g + 2. Let x(a) = 3*a**2 + 10*a. Let y be x(-4). Suppose -58 + 10 = y*p. What is p*r(j) + 39*s(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287509*l**4*x**3 - l**4 - 2*l**2*x**3 - 92*l**2 + 9*l*x**3 + 2*x**3 + 5 wrt l.\nAnswer: -6900216*l*x**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437798893 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:36 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + -68 - (11 - (6 - (-9 + -3)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55281959600531 - 1.1.\nAnswer: -55281959600532.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 707*c**3 - 162*c**2 - 16*c + 1. Is z(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8589224 years in months?\nAnswer: 10.3070688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 10:27 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-193)\/(-18) + (-10)\/45)*2. Calculate the greatest common factor of b and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -351, -356, -361, -366, -371?\n\"Answer: -5*t - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/71 and (-98)\/(-245) + 22\/230?\nAnswer: 8165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 = -5*g, 0 = -2*g + 4*g + d + 1. What is the remainder when 43 is divided by 1\/(6\/(-198)*g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 26*i**2 - i - 35. Determine d(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 - o - 8. Give z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m - 116. Let q be z(17). Solve 11*k - 19 = q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23239171 * 2\nAnswer: -0.46478342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/7, -3\/121, -3, -1\/4, 1 in descending order.\nAnswer: 1, 0.4, -3\/121, -1\/7, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 plus 34906586319?\nAnswer: 34906586232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11228 divided by -192.\nAnswer: 2807\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32151 - -12110?\nAnswer: 44301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.72 - -0.871669?\nAnswer: -0.848331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*q - 221*q - 165*q)*(0*q**3 + 5*q**3 - 3*q**3).\nAnswer: -924*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1. Let y(p) = -p + 5. Let r(g) = k(g) + y(g). Calculate the remainder when 52 is divided by r(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 13*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + a - 12*a**3 - 7*a**4 + 8*a**3 - a**3 as o + n*a + k*a**4 + m*a**2 + i*a**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*l = -86, -2*h + 5*l + 45 = 4. Suppose 2 = -r, 0 = -5*x - r + 2*r + 147. Calculate the remainder when h is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 19*x + 5. Let c be k(20). Is 8980\/c*-3 + 3\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4518\/11 + -31648\/77. Let y = 0.1 - 0. What is the closest to h in -3, y, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 - 4413 - (8 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20) + sqrt(220)\/sqrt(11)*-4)\/(-5*sqrt(64)) + -1.\nAnswer: -1 + 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let x = d + 2. Suppose 0 = 6*t - 4*t + 4. Put x, t, -1 in descending order.\nAnswer: x, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*q - 20 = 0, q - 4 = 3*m - 18. Solve 3*w = m*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, 183, 274, 365, 456, 547?\n\"Answer: 91*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l**3 - 1422*l**2 - 36*l + 268. Let w(g) = 8*g**3 + 948*g**2 + 24*g - 178. Let x(c) = -5*j(c) - 7*w(c). Find the second derivative of x(s) wrt s.\nAnswer: -6*s + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -53*w + 2921. Calculate the remainder when q(43) is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878098, 3756208, 5634318, 7512428?\nAnswer: 9390538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9310 + -5851. Is (-4)\/(-6)*(12 + -18) + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 - -0.57. What is the second smallest value in d, 22, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2 - 20. Let p = 34 - i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 44\/(-12))\/(2\/138). Suppose -19*w - 216 = -y*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 times -360434\nAnswer: 331599.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -413869\/46 - -17969\/2. Which is greater: o or -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 34. Let i = 44 - b. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -8*j + 36. Solve j*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*m + 3*g + 120, 3*m = 2*g + 190. Calculate the remainder when m is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 147647697516 and 81.\nAnswer: 147647697597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 13*u. Let w(b) be the second derivative of 10*b + 17\/2*b**2 + 0 - 1\/24*b**4 + 0*b**3. Let g(j) be the first derivative of w(j). Calculate g(c(v)).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 7*k + 0 + 1\/12*k**4 + 2\/3*k**3 - 10*k**2. Let q be h(-7). Solve 5*t + 11 - q = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/6*(2 - -7) - -3. What are the prime factors of (-1235)\/n + -11 + (-2407)\/(-9)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2852*i - 316559. Give o(111).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 124. Let h = d - -47. Suppose 2*y + h*y - 1106 = 0. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*r = 112, m - 59 = -4*r - 12. What is the remainder when m is divided by 1 - 1 - -7 - (-7 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -922, 18 in descending order.\nAnswer: 18, 2, -922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nzxmbbo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*z**2 - 1370*z**2 - 1445*z**2 + 441*z**2.\nAnswer: -2937*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16*h = -6328. Let r = h + 466. Calculate the remainder when 67 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**7)\/f*f)*(f\/f**(4\/11))\/f)**29*((f**(4\/7)\/f)\/(f**3\/f))**9 assuming f is positive.\nAnswer: f**(13136\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**7*w\/(w*(w\/(w\/(w*w*(w*w**17\/w*w)\/w)))\/w))\/(w**(-5)\/w**(2\/29)) assuming w is positive.\nAnswer: w**(-549\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 28*m - 58. Let j be q(-10). Factor -8*w**5 - 49*w**4 - 8*w - 7*w**4 - 84*w**2 - 10*w - j*w**3.\nAnswer: -2*w*(w + 3)**2*(2*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*l = -254*l + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 18. Let d(u) = -u + 16. Let x be d(s). Let z = -48 + 70. Solve -x*y = -5*k - z, -y - 3*k + 1 = 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 134, -145, -450, -775, -1114?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1546661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583 = -78*u + 1031 + 398 - 62 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + 10*v + 1. What is x(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16589*d**4 - d**2 + 27508*d wrt d?\nAnswer: 199068*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/13, -1\/3, -2\/17 in ascending order.\nAnswer: -1\/3, -2\/17, 9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9028 - z + 9028 + 62*z)*(2*z**2 - 2*z**2 + 3*z**3) to the form p*z**3 + n*z + y + b*z**2 + w*z**4 and give w.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/79, -0.2, -0.17, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63891 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -1 (c) 2 (d) 0.5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 + 390. Does 73 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2703 (base 9) to base 11.\nAnswer: -1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/3)\/(g**6\/g))\/((g**5*g)\/((g\/(g*g\/g**(-1\/4)*g*g))\/g)))**(-43))**37 assuming g is positive.\nAnswer: g**(278425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.02, 0.5, 25.\nAnswer: 0, 0.02, 0.5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhnbynyxbnne. Give prob of sequence byn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11302 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10170 to the nearest one hundred.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-6)*(-24)\/18. Find the third derivative of -3*o**4 - 5*o**2 + 5*o**g - 3*o**2 - 3*o**4 wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w. Let h(k) be the third derivative of 7*k**5\/20 + 3*k**2 - 782. Give h(b(a)).\nAnswer: 1701*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 + (2 - (-408)\/(-56))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(4\/5))\/k)\/(k*k**(2\/9))*k**2\/(k*k**(-1\/3)\/k)*(k**4\/k**(2\/7))\/((k**1\/k*k)\/(k*((k\/(k**(-1\/7)\/k))\/k)\/k)) assuming k is positive.\nAnswer: k**(1817\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Let u be (-8)\/(-12)*j\/(-1). What is the units digit of 1*(-34)\/u - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -1458*w + 1390*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.71 (b) -0.1 (c) 0.3 (d) -0.6 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4269956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.1, -1\/17, -4\/3, -1 in decreasing order.\nAnswer: 8, 0.1, -1\/17, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 - 75*n + 1. Let u(j) = -j**2 - 39*j + 1. Let y(f) = q(f) - 2*u(f). What is y(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 - 286 - t**2 + 7*t + 275 + 0*t**2 - t**2 + 3*t to the form d*t**2 + s*t**3 + a*t + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p. Let j be m(-2). What is the derivative of -42*v**3 + j*v**4 + 42*v**3 + 4 wrt v?\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, 2 in increasing order.\nAnswer: -15, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-3) - 5\/4. What is the smallest value in p, 2\/25, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 32*t - 153. Let n be m(-6). Solve -n*d - 16 = -5*u - 5*d, 3*d + 1 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*t - 14 = 0, h = -2*h + 2*t - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - (3 + -2)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-1 - 0) + 1. Let u = -0.2 - -0.01. Let y = u + 0.19. Which is the closest to y? (a) s (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 127232*o + 1017984.\nAnswer: -2*(o - 63624)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24251.\nAnswer: 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 12*v + 14. Determine n(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 6*s**2 - s**2)*(1 + 1 - 4) - 3 - 269*s**2 - 2 + 270*s**2.\nAnswer: -3*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/171084 and 15\/11819053?\nAnswer: 141828636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111110110 (base 2) to base 13.\nAnswer: -c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86764 = 2426*d - 61*d - 69326 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28800 divided by 12?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 60*j - 30. Let n be t(10). Suppose 5*m = -3*l + 350 + 89, 0 = 4*l - m - n. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)*u**(-7))**45 assuming u is positive.\nAnswer: u**(-615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 4*t**2 - t + 2. Let c be m(-4). Let v be c - 2 - (-50 - 1). Let u be (-26)\/(-30) + (-11)\/v. Which is bigger: u or -0.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-3*v + v - 3*v) + 55*v + 1889 - 1889 + 0*v + 2*v - 3*v.\nAnswer: 69*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1581 + 4742\/3. Sort b, 0, 0.055.\nAnswer: b, 0, 0.055","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 504, 755?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18521880 divided by 1149\nAnswer: 16120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 199081903 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:54 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*u + 35 = -y, 3*u = -5*y + 3. Suppose -4*p = -y*p - 18. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-3\/2)))\/(a**(9\/10)*a))\/((a*a\/(a\/((a**(-1\/10)\/a*a)\/a*a)))\/a**1) assuming a is positive.\nAnswer: a**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**2\/2 + 87. Let t(s) be the first derivative of 31*s**3\/3 + 3. Calculate u(t(m)).\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -114249\/10 and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/4 - 1\/(-4). Suppose -4*y + x - c = 0, -4*y - 3*x = -2*y - 15. Let q be (-2 - y) + (-4 - -6). Solve -6 = -2*t - q*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20888 and 47\/11936.\nAnswer: 83552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 411, 4, 0, -2 in decreasing order.\nAnswer: 411, 13, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -77443?\nAnswer: -77443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4)*(4 - 28\/6). Let d(n) = -2*n - 5. Let m be d(-6). Let z be ((m + x)*-1)\/(-1). Solve -b = -z*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:13 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:50 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and 85\/938.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (11 - 12 - (-1 - 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 5*z**2 - 4*z**2)*(0*z**2 + 6*z**2 - 3*z**2 - 2*z**2 + 1 - 1 + (0*z + 6*z - 3*z)*(2 - 2 + z) + 0*z**2 + 3*z**2 + 5*z**2).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 43909064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/30 + h**3\/3 - 3*h**2. Let y(j) be the first derivative of p(j). What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from rrrrrrerre?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 - -0.2. Let d = i + 4.11. Let j = 0 - 0. What is the closest to j in d, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217493122.\nAnswer: 2, 7, 11, 67, 107, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -774673, 8, 4 in descending order.\nAnswer: 8, 4, -774673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 9*o**2 + 10*o + 1. Determine s(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 46581*m - 190. Let y be p(-10). Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 - 310\/(-6). Let s = 53 - m. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let t(l) = 78*l. Give o(t(p)).\nAnswer: 156*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97837 and 35?\nAnswer: 3424295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 = 3. Let b(z) = -z**2 + 1. Let p be b(-1). Let u = p + g. What is the greatest common divisor of 33 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*r**4 - 568421*r**2 + 14958874*r - 2 wrt r.\nAnswer: 156*r**2 - 1136842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20094\/7 - 2866. What is the common denominator of g and ((-7)\/105)\/((-8)\/(-48))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 238 = -175. Let u(y) = -3*y**3 + 17*y**2 + 43*y - 27. Let j(t) = -2*t**3 + 11*t**2 + 29*t - 18. Let p(d) = -7*j(d) + 5*u(d). Give p(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 98591096.\nAnswer: 98591100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 301 - 0?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + 0 - (-14351 + 14464)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 7. What is the tens digit of o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 21. Let n(k) = -4*k - 35. Let w(q) = -5*d(q) - 3*n(q). Let p(t) = 0*t - 5*t - 5*t. What is w(p(g))?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 181046273 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*p**2 + 206.\nAnswer: -90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:54 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 20381968?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - -69) + (18 + 64 - 102).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**7\/1680 + a**6\/720 - a**5\/240 - a**4\/48 - 2*a**3\/3 - 5*a**2. Let y(v) be the first derivative of b(v). Factor y(c).\nAnswer: (c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i - 3*i)*(-2 + i - 25*i**2 - 13*i**2 + 36*i**2).\nAnswer: -4*i**3 + 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7396 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -4)*4 + 136260\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 632*b**3 - 313*b**3 - 314*b**3 - 21 - 2*b + 2*b + 2*b**4 in the form g*b**4 + q*b**3 + o + x*b + f*b**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:20 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(-45) + (-28)\/35.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150158 is divided by 407?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18510723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*q - 21*q**3 - 393*q + 13*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 585*t - 580.\nAnswer: -5*(t - 116)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v. Suppose 5*d = -3*c + 30, -c = -5*c + 4*d + 8. Let t(y) = -2 - c*y + y + 2. Let q(w) = -4*t(w) + 3*u(w). Let g(z) = -2*z**2. What is g(q(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x + 8. Let q be i(5). Suppose -t = q*t + 4*c - 52, -c + 5 = 0. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -213*y + 217*y + 36, 0 = -y + 5*j + 12. Let d be (-2)\/(54\/(-33)) - 1. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -94. Calculate the greatest common divisor of u and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/2)\/((-3024)\/(-288)))\/(2*(-2)\/(-324))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 2*b. Let r(m) = -10*m**2 - 2*m + 2. Let n(h) = 4*d(h) - r(h). Let q(a) = 2*a**2 - 5*a - 2. Calculate 5*n(c) - 6*q(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + -21. Let f be (-11 + -1)\/2*11. Let d = h - f. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/2)*y*y\/(y*y**(-15))*y*y**12\/(y\/(y**(-2)*y)) assuming y is positive.\nAnswer: y**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13857263*d**2 + 3837740 wrt d.\nAnswer: -27714526*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350031 is divided by 116553.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 - 0 - 2. Let o = -5 + 3. Suppose -7 = -2*a + 3. Put p, a, o in descending order.\nAnswer: a, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.158 * 1.604.\nAnswer: 0.253432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5 - (11\/3 + (-4956)\/(-180))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203 divided by 303?\nAnswer: -401\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 122 = -18. Let x = b + 145. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*x + 4*j - 146, -74 = -3*x - 4*j. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/1280)\/(6\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 28*c**3 - 94*c**2 - 12*c + 10. What is t(4)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6767, -29348, -83609, -185390, -350531, -594872, -934253, -1384514?\n\"Answer: -2640*a**3 - 4101*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a - a**2 + 26*a**2 - 4 - 3*a. Let d be g(-6). Suppose 5*p = -z + 200, 4*z - 7*p + 5*p = d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703530 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 19581720?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 12 = -0*o + 4*o, 4*u = -3*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 232.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -681, 38, 7.\nAnswer: -681, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/121800 and -91\/100?\nAnswer: 121800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10136845?\nAnswer: 5, 17, 31, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184221914*c**3 + 16*c**2 - 530544*c + 1 wrt c.\nAnswer: -1105331484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 860440640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 971 + -292. What is the remainder when v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-2 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017*-1.41.\nAnswer: 0.02397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -811*l**3*o**2*r**2 + 14*l**3*o**2 + 2*l**3*r**2 + 5*l**2*o - 145*r**2 wrt o?\nAnswer: -1622*l**3*r**2 + 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1001306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a (base 14) to base 10.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 271264 + -3?\nAnswer: 271261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.5 + -45.4. Let x = -674 + 675. Which is the nearest to l? (a) x (b) 4 (c) 2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*p = -28, 4*h = 8*h + 5*p + 13. Let c be (-1 - (-3 + 9))\/(-1). Let j = c + h. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.14 - 16. Let n = -3.86 - o. What is the nearest to -0.1 in 1\/2, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u + k + 24, 1726*u - 1722*u = 4*k + 4*k - 4*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8.5. Let i be (27\/6 + -2)\/((-287)\/82). What is the closest to 0 in -5, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/21 - 92\/(-161)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 7\/46 (b) 2 (c) 0 (d) 1\/4 (e) 135 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 35*i + 241. Let g be y(-7). Is 3351805\/g + 24\/54 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*x - 9 = 0, 21*t - 25*t = 2*x + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-316)\/(-36) + 4\/18. Let h = -7 + l. Let n be (1\/2)\/(h\/(-20)). Sort -1, 2, n.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -111 (b) 2\/9 (c) -4 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61950 = 1583*l - 344*l for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 20, 4*r + o - 167 = -2. Suppose 0 = 2*y - y - 8. Suppose -37 - y = -3*l. Calculate the remainder when r is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945 and 53281557.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7782?\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 80 = -11*y. Let b(o) = o**2 - 15*o - 16. Let m be b(y). Suppose -32*z + 33*z - 28000 = m. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 433\/5 - 11567\/145. Let q = t + -1048\/145. Suppose h - 3*h = 0. Which is the nearest to q? (a) -4 (b) h (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5\/11 - 4*z**4\/11 + 2*z**3\/11 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 35.2 (b) -3\/4 (c) -46\/13 (d) 0.5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 28. Suppose 4*f - 3*a - 147 = -15, 0 = 5*f + 2*a - 142. What is the smallest common multiple of f and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 34. Let f be -1 - 1 - 1*-4. Suppose f = -g - 0*g. Sort y, -4, g in decreasing order.\nAnswer: y, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2579.3698*5.\nAnswer: 12896.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 0 - (-7 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/2, 12\/17, 32\/3, 0.1 in ascending order.\nAnswer: -3, -1\/2, 0.1, 12\/17, 32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -493897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -28.\nAnswer: -28, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 4 = 0. Solve l*a - a = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 219.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 930\/(-48) - 3\/8. Solve 2*k = y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2910, -1403, 66, 1503, 2914, 4305?\n\"Answer: a**3 - 25*a**2 + 1575*a - 4461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, 1\/9, 3, 24737, -0.02, 5?\nAnswer: 24737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*-2 - -2. Let b = 12 + y. Let d(k) = -k + 28. Let p be d(b). Is p less than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 346*t**2 + 10888*t - 724. Determine k(-311).\nAnswer: -1657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121958?\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9448?\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 greater than or equal to 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46\/5 of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1758566251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223619.9 decades in years?\nAnswer: 2236199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/109 or -255216?\nAnswer: 33\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*(8346\/286)\/(-107)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d - 24. Suppose -689 + 49 = -128*j. Give i(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 * 18356\nAnswer: 1009.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80082 by 2.\nAnswer: -40041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 - 215. Suppose -x*o + o = -35. Which is smaller: o or 36?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = 2*t. Let r be (-4)\/(-8)*(t - 2). Suppose 2*v - 34 = -s - s, 4*v - 8 = r. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0 - 10, 3*h + t = 25. Suppose d = -5*v - 9, 36*d = 33*d - 5*v + 43. What is the remainder when d is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16648 - 16620. Solve l = 2*z - 16, k*z - 26*z - 8 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-100)\/(-36) + 4\/18. Suppose d*g + 15 = -9. Find the common denominator of 13\/20 and 98\/(-24) - (11 + g).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 60073760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 84764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/768 + 1540\/(-96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 10 + 7)*(5*s + 1 - 8*s - 1).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957441352?\nAnswer: 2, 41, 5967809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/1233622 and 71\/189788?\nAnswer: 2467244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let g(t) = -t - 1. Let z(n) = 3*g(n) - 5*w(n). Give z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3 - 4 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-48)*(-7)\/((-7)\/(-4))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 at least 3672\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*2*sqrt(5)*3)**2 - (sqrt(720) - (-3 + sqrt(720)))**2*6*-2.\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*p**2 - 96*p**2 + 2*p - 10*p**3 + p**3)*(12 + 14 - 30).\nAnswer: 36*p**3 - 4*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.093 + 0.497. Let n = d + -0.589887. Round n to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diddqddqiddd. Give prob of picking 1 q and 2 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/115984 and -77\/32?\nAnswer: 231968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.618478ml to litres.\nAnswer: 0.007618478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -53, -14, 26, -4, -3 in decreasing order.\nAnswer: 26, -3, -4, -10, -14, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -8 + 2336\/(-128)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -947 + 895. Is h at least -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:28 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009362019 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1444.1\nAnswer: 144.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 6*v + 6. Let x be o(-2). Solve k + 0*k = -x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4771 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55309435?\nAnswer: 5, 11061887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v - 2*o - 6 = -15*v, 5*v - o - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028669 rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*n = 54, -15*v + 8 + 147 = -25*v - 5*n for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from xxxxxxxxxnxxn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlf when three letters picked without replacement from nnmffmmdddfmmlm.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9697855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -77591*o + 620737. Give v(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -18. Let h be w - -6 - 33\/3. Is 34 a factor of ((-180)\/h + 1)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3691.5 + 3691. Which is the second biggest value? (a) p (b) -0.2 (c) 1\/2 (d) -4 (e) -0.001\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 9:05 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u + 11. Let i be z(8). Let j = -213 - -334. Let q = i - j. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(200) - ((-2*sqrt(200))**2 - sqrt(200))) - (sqrt(200) + -1)*4).\nAnswer: -799 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71221 + -4?\nAnswer: -71225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511567 + 511567 - 9*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2907 - 46543\/16. Calculate the common denominator of 71\/48 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 54 - (8 + -6 + 3 - 1) - -2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204401404 (base 5) to base 15.\nAnswer: 11db89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 8666194*z**2\/3 + 25034311926007*z\/2 - 25034300371083.\nAnswer: (z - 8666193)**2*(z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 5 - (14\/(-8) - -2). Let j = 11 + -13. Let z be (j - 0)*(-3)\/(-15). Which is the closest to h? (a) -1 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -2 + -2*sqrt(3)*-6 + sqrt(3) + -1*(-1 + sqrt(108))*-4)**2*-1*-5.\nAnswer: -2460*sqrt(3) + 25395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = 2. Let f be (108\/(-21))\/(l\/14). Let m = f + 15. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 4 - 11 = 167 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -15\/7 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 166*d**2 - 1452*d + 6130. What is i(157)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:34 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f - 34*f + 78*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*k**2 + 10 - 8 - 49*k**2 in the form v*k + j*k**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 8677*o - 3. Let v(d) = -2*d**2 - 38. Calculate l(v(q)).\nAnswer: -12*q**4 + 16898*q**2 + 325391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151*d**4*n**2 + 274*d**4*n + d**2*n**2 + 2361*d**2*n - 3*d*n**2 - 2*n**2 wrt d?\nAnswer: -3624*d*n**2 + 6576*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/10)\/((-10)\/250). Solve 9*i + m = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.002 + 0.002. Let a be (-8)\/6 + 12\/(-18). What is the closest to o in 1, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495190 is divided by 4671?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/60*6)\/((-1)\/4))\/(166\/(-2905)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-35)*145\/(-87).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 + 25 - 7*u - 38 + u**3 + 23 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 294*r - 290*r + 144474, 0 = -2*g + r + 96311. What are the prime factors of g?\nAnswer: 2, 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b*(b*b**1*b)\/b*b*b**3*b)**(1\/26))**(-4\/23) assuming b is positive.\nAnswer: b**(-22\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + -10 + 3 - -3 - -13. Factor 3\/8*x**u - x + 1\/2.\nAnswer: (x - 2)*(3*x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34105*u + 34062*u + 688 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17695, 35505, 53327, 71161?\nAnswer: 89007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95443, -95442, -95441, -95440?\n\"Answer: a - 95444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 112015?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/17 + (-817)\/(-731))\/241. Is c > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -58. What is the closest to 0.1 in f, 2\/5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.30222.\nAnswer: 0.030222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16642, 16631, 16606, 16561, 16490, 16387?\n\"Answer: -z**3 - z**2 - z + 16645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -8) + 4 + 4 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 35 = y, 2*y = 3*y - 2*r - 39. Suppose -y*a - 20 = -47*a. Solve -4*j - 5*s - 21 = 0, a*j - 2*s = j + 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m - 12 = 0. Suppose p + 4*v - 5 = 2*p, -m*p - 5*v + 43 = 0. Suppose -5*b = -18 - p. What is the least common multiple of b and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 1013 + 369. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 799\nAnswer: -11\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o. Let s(y) be the third derivative of -y**5\/60 - 13*y**2. What is w(s(p))?\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - -7) + 28 + -30 + 27 + -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:15 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19044.74*-1.\nAnswer: 19044.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/10 - 3*b**3\/2 - 4*b**2. Differentiate t(q) with respect to q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1453246871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8))\/k*k\/((k\/(k**(1\/5)\/k))\/k) assuming k is positive.\nAnswer: k**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*c - 35 + 720 = -601 - 3376 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -114, -166, -218, -270, -322?\n\"Answer: -52*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-318)\/(-265)*(-10)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a4 + 255a2?\nAnswer: 244a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1869, 1870, 1871?\n\"Answer: c + 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 0*p + 3*p)*(1 - 1 + 3) - 3*p + p + 4*p + (-3*p - 6*p + p)*(5 - 4 + 0)*(4 - 4 - 1))*(-2*p + 2*p - 2*p) - 3*p**2 + p**2 + 3*p**2.\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13203.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.05?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and -176*(62\/(-252) - 12\/(-54)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*k + 4 = -4*k, 5*w + 3*k - 10 = 0. Suppose w*h + 2081 = -y, 1043 = -h + 2*y - 5*y. Round h to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 50?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:35 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9e + -30?\nAnswer: -cce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 89*u**2 + 926*u - 154. What is j(77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 59. Let g be a(-9). Suppose -5*f + 13 = 32*y - 28*y, -5*y - 4*f + g = 0. Solve 9 = 3*m - 3*b, 2*m - 6*m = y*b + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o = -328 + 16 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or -639\/4?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -316*m - 234. Let o be d(-2). Suppose 0 = 5*g - 5 - 5. Suppose 3*k - 3*l = g*l + o, 4*k - 5*l = 524. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 179*s**2 - 571688*s - 121378. Calculate q(3194).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(((h\/h**(-1))\/h)\/h)*h*h)\/h)**(2\/7)\/(h*h\/h**1*h)**(26\/9))**(-2\/17) assuming h is positive.\nAnswer: h**(656\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-8 + (24 - 8))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*u = -2 - 2, -8 = -3*h - 5*u. Let q be (3 + -2 - (-4)\/h)\/2. What is the tens digit of (-1 + 2 - -50) + q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 - 3*a - 5. Let x be c(5). Suppose -g = -o - 0*o - 4, -o = -5*g + 24. Suppose 0*z + x*z = -g. Sort z, -3, 4 in ascending order.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3930 and 182505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 13*m**2 - 11*m + 8. What is h(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.065 (b) 8 (c) -1 (d) 1\/2 (e) 11\/4 (f) -0.3 (g) -1\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d + 23. Let l(m) = 9*m + 22. Let s(h) = 6*c(h) - 5*l(h). What are the prime factors of s(18)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075366439.\nAnswer: 31, 109, 910141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/48 and -49\/22937.\nAnswer: 1100976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnxhnnjnnnjnn. What is prob of sequence hj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 22*o - 266. List the prime factors of m(19).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -346910*u**2 - 246526?\nAnswer: -693820*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) - (-8010)\/54 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18752 - 18745. Let v = 6 - 3. Let k(y) = -4 + y**v - y - 8*y**2 + 0*y**3 + 9*y. Determine k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b + 131. Calculate f(-27).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1771 (b) -0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2021*s**4 - 38666*s**3 - 732580998*s**2?\nAnswer: 48504*s - 231996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 28887 = 2*r, 5*l + 4*r - 36463 = -7584. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-35) - -4)\/((-7)\/(-5)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-2365)\/(-120) - (0 + (-6)\/(-16)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 445*n**2 - 45*n**3 - 350*n**3 - 1010*n**2 - 476*n**2 - 173*n**3 wrt n.\nAnswer: -3408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40276?\nAnswer: 2, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616\/196*56\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:11 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96706096 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {v: 4, a: 8, f: 3, t: 2, m: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.9213322 to three dps.\nAnswer: 11.921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 204, 184, 150, 96, 16, -96?\n\"Answer: -u**3 - u**2 - 10*u + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*l + p, -6*l + 4*p - 86 = -11*l. Calculate the remainder when 27 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38190000 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707872 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 12*p + 117. Let z be w(11). Solve 3*u = -0*u + 4*a + 1, -2*a - z = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6763 - 29724 + 1476 - 11615 = 1655*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -22. Let m = -0.01 - 0.29. Suppose 7 = -3*c + j - 0*j, j = -4*c. Sort c, m, s.\nAnswer: s, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 5*s + 3. Let r be 0\/1 + -2 - 2. Let f(d) = 176 + d**2 - 349 + 3*d + 175. Let l(x) = r*v(x) + 7*f(x). Solve l(g) = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5923 - 3141 - 26*w**3 - 2782.\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32.73, 18, -12.3 in increasing order.\nAnswer: -12.3, 18, 32.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 28 - 18 + 5 - 3*s.\nAnswer: -3*s - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408313431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6131 = -w + 19986. Let y = 15401 - w. Let a be y\/(-21) - (-6)\/(-21). Round a to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-36)\/16*2. Let p(i) = -15*i - 2 + y*i - 13*i - 14*i. Calculate p(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-13 + 0)*5 + -4 + -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 6*j - 3. Let y(s) = -s - 3. Let a be y(4). Let c be m(a). Suppose u + k - 4 = 17, -c*k + 68 = 3*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565562269?\nAnswer: 191, 1657, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:08 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Let c(a) be the third derivative of a**4\/6 - 3*a**2. Let u be c(1). Solve u*q - t = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.285646 milligrams?\nAnswer: 0.000000285646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 7*p + 3. Let i(v) = 3*v**3 + 16*v**2 - 12*v + 7. Let r be i(-6). Calculate z(r).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 149535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 333*j = 335*j - 13948, -4*k - 2*j = -27910. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c + 412. Let i(n) = -8*n + 385. Calculate 3*h(l) - 4*i(l).\nAnswer: 8*l - 304","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 2 (c) 0.1 (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 12. Suppose 18 = -o*j + 10*j. Suppose j*b + 6 = z - b, 0 = -z - 2*b. Are 3 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p - 387 = -411 - 2792. Suppose 0 = -n - 0 + 11. Calculate the remainder when p is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(567)*2 + sqrt(7) + 4 - ((-5 + sqrt(700)*-2)*5)**2.\nAnswer: -70617 - 4981*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/6)*m*m*(m\/m**0)\/m)\/(m**(1\/2)*m)**(-15\/4))\/(m**3\/(m\/(m\/(m**(-3\/10)\/m))*m)*m*m**(-2\/7)\/m*m*m**(2\/9)) assuming m is positive.\nAnswer: m**(10639\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 22 = -27. Suppose 0 = -6*w - 7 - z. Which is bigger: -36\/13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:13 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + t - 1. Let m(v) = 539*v**2 + 308*v - 308. Calculate -308*g(q) + m(q).\nAnswer: -77*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:00 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2440 + 2445. Solve -m - 5*o = 3*m, -i*m + 5*o = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 + -98. Let j = -266918 + 267056.907. Let q = i - j. Round q to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -1072 + 1092. Let b(r) = -6*r - 1. Let u(h) = 3*h + 1. Give x*u(i) + 3*b(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 32. Suppose 72*f + p = 77*f - 1750, -3*f + 1057 = -2*p. Let r = 376 - f. Calculate the remainder when r is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6647 is divided by 3309.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:55 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1048895 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10, -0.05, -10?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -d2?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**4 - 2*m**3 - 12*m**2 - 2*m. Let v(p) = 13*p**4 + 7*p**3 + 37*p**2 + 7*p. Let n(x) = -7*d(x) - 2*v(x). Find the third derivative of n(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g. Let j = 5 + -3. Let n(w) = -2*w. Let p be (0 - (-8)\/12)*84. Suppose -2*m - 2*m = -p. Give j*h(v) + m*n(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 2. Let c(l) = -3*l - 6. Let s be -2 + 4\/((-12)\/15). Let u(t) = s*f(t) + 2*c(t). Suppose 4*g = -0*g - 24. Calculate u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*d + 37. Suppose d*g - 2*j = -g + 47, 0 = -3*g + j + 28. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -22 and 44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 787913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7587*y - 106197. Determine u(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 6 = 4*u, -4*w = -u - 26. Let j be (w\/8)\/(1\/(-4)). What is the units digit of ((-2)\/j)\/(8\/108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27199404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -51. Let p = 77 - h. Let g = 0.053 + -0.353. Which is the third smallest value? (a) -1\/3 (b) p (c) g (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522312, 522314, 522316?\nAnswer: 522318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2\/2 - q + 3. Let r(l) = l**3 - 4*l**2 + 4*l - 4. Let u be r(3). Let i be p(u). Which is smaller: i or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + g + 6. Let y(q) = 3*q**2 - q - 9. Let h(c) = 7*o(c) + 5*y(c). Let w be h(-4). Sort -1, w, 3 in descending order.\nAnswer: w, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-15)\/6) + -5. Let x be -7*(j + 4) - -3. Let g = 58 - 581\/10. Sort 6, g, x in decreasing order.\nAnswer: 6, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 0.2, 31, 56, 3\/8?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Suppose 5*c - 375 = -z*d, 355 = 5*d - 0*c + c. Suppose -y + d = y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -7.468?\nAnswer: 5.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -123440000 to the nearest 1000000.\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 120*s - 63 = -114*s, 0 = 2*d + s + 28. Let n be (-6)\/(-3)*(-3)\/2. Put d, n, 2 in decreasing order.\nAnswer: 2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 90, 274, 572, 1002?\n\"Answer: 3*z**3 + 30*z**2 - 23*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-16) - -2)\/(1\/86). Calculate the highest common factor of u and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**5\/30 + 19*w**4\/18 - 50*w**3\/9 + 32*w**2\/3 + 15*w + 3. Suppose r(v) = 0. What is v?\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -393073, -393072, -393071, -393070, -393069, -393068?\n\"Answer: q - 393074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhvhhhhhhvhhhvhvv. What is prob of picking 2 h and 2 v?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let b(a) be the third derivative of -a**5\/20 + 4*a**2. Calculate b(k(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/192816 and 71\/81?\nAnswer: 1735344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let l(u) = -2*u. Let y be l(d). Find the second derivative of 0*w - y*w**3 + w**3 - 2*w wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111021 (base 3) to base 14.\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/12*(-2)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -3*x + 3*j + 8, 5*x = x - 6*j - 78 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 2, z: 1, d: 7, o: 3}. What is prob of picking 1 d, 1 o, and 1 f?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -36572229*h**2. Let k(c) = -2*c**2. Calculate k(j(t)).\nAnswer: -2675055868056882*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/7)\/r**(-1\/14) assuming r is positive.\nAnswer: r**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + a**2 - 39*a**2 - 2*a.\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -213200, -426398, -639596, -852794, -1065992?\n\"Answer: -213198*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 30 = -5*l + 155, 2*l - 5*g - 50 = 0. Let f be (-1)\/2 + (-3)\/(-6). Suppose f = x + x. Solve x = -r + 6*r + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(175) + sqrt(175)*2 + -5 + sqrt(175) + (sqrt(175) + sqrt(175)*-4)*-6 + sqrt(175) + sqrt(175))*-2*-4)**2*-3.\nAnswer: -19358400 + 230400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.58 + -32.6930371853.\nAnswer: -33.2730371853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 - 3*y - 3. Let r be x(-2). What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 2, -244 in increasing order.\nAnswer: -244, -1, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = -2. Let a(n) = -n**2 + 22*n + 6. Let g(h) = h**2 - 41*h - 13. Let m(r) = -11*a(r) - 6*g(r). What is the least common multiple of 8 and m(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:33 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 6*x**5 + 26*x**4 + 10*x**3 - 50*x**2 - 16*x + 24 = 0?\nAnswer: -3, -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236945?\nAnswer: 5, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 11. Let g = 39993 + -39934. Calculate the remainder when g is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let m be g(-16). Let z be m\/48 + (-22)\/6. Does 7 divide ((-88)\/4)\/(0 + z\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s + 2*x, 5*x = 2*s + 10 - 24. Solve 2*y - 8 = s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22280.09l to millilitres.\nAnswer: 22280090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Let x = 0.9 + 0.1. What is the closest to -1 in x, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*g + 2695 = -554 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 2. Let s(g) = -2*g + 6. Let y = -496 - -508. Suppose -4*a = y, 3*a = j + 4*j + 31. Determine j*r(c) - 3*s(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7386 + 7390. Solve 17 = -3*i - 4*k + 10, -w*k - 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -238*g - 19. Let f(m) = -2*m - 3. Calculate -6*f(d) + o(d).\nAnswer: -226*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -14 + 43 - -3 - (-21 - -10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(320)*1 + -1 + sqrt(320) + 3 + sqrt(320) + -2)*-6)**2*-1.\nAnswer: -933120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 10}. Give prob of sequence pn.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhyh when four letters picked without replacement from {y: 2, h: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 26 (b) 0.3 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 30*k + 83*k - 2*k**2 + 5*k**3 - 4*k**3 - 13 - 55*k - 52*k in the form z*k**3 + n*k**2 + i*k + s*k**4 + j and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*r = -84, h - 5*r - 5 = 16. Suppose 124494 - 133024 - 278750 = -665*l. What is the highest common divisor of h and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1861, -3724, -5587, -7450, -9313, -11176?\n\"Answer: -1863*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/7 - 90*x\/7 - 24 = 0?\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -820835000 rounded to the nearest 1000000?\nAnswer: -821000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25723*g**2 + 15199*g wrt g?\nAnswer: 51446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6*o + 6. Let h be 3\/o*(0 + 7). Does 9 divide (4 + h)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l*s**3 - 2*l - 73*s**3 + 7*s**2 + 37*s wrt s?\nAnswer: 60*l - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -32, 2\/3, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7137*k**2 - 102*k - 4. Let n(z) = 3569*z**2 + 44*z + 2. Give 7*n(r) + 3*u(r).\nAnswer: 3572*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 7, l: 3, m: 3, d: 1, j: 3}. What is prob of sequence tlj?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(1*4\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -95*s**3 - 9*s**2 + 155*s + 692. What is the remainder when o(-4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0126427 rounded to four dps?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, b: 5}. Give prob of picking 2 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - o - 38048 + 38056, 0 = -12*u + 3*o - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/11 + 6\/(-33). Suppose -4*o + 64 = -v*o. Let b = -2 - o. What is the least common multiple of 4 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1704 and (-6941)\/36920 - -3*54\/1053.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7242 and 2094.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 less than or equal to -749350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -225*f + 114*f + 117*f. Let z(t) = -3*t. Determine m(z(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324777.\nAnswer: 3, 73, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmmmqqqmeqmmemeemm. Give prob of sequence qq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9128291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 12)\/(1\/(-390)). Let p be (-10 + t\/(-40))\/((-10)\/56). Which is the second smallest value? (a) p (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88899738 divided by 2.\nAnswer: -44449869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*n**3 - 10*n**3 + 2*n**2 + 4*n**3)*(-n**2 + 3*n**2 - n**2).\nAnswer: 11*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 15*a**2 - 8*a + 4. Let h = -42 + 29. Is m(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -18 + 14. Let s be 6\/(-18)*-6 + (f - 1). Solve -6 + 0 = -s*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 10*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78230401.86 rounded to the nearest 10000?\nAnswer: 78230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95301, -95300, -95299, -95298, -95297, -95296?\n\"Answer: p - 95302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 36*i - 110. What is the remainder when 1502 is divided by c(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1 + 2))\/((-11)\/(341\/31)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-20) + 51\/(-85). Which is the closest to 47? (a) n (b) 1\/4 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1255, 1111, 967?\n\"Answer: -144*r + 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*u**6 - 5*u**3 - 24*u**2 - 23*u?\nAnswer: 3120*u**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2218 + 2290. Let n(t) = -32*t - 10. What is the remainder when n(-9) is divided by y?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 851 + -508. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281277857.\nAnswer: 7, 2621, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500860 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82\/17973 or -1\/26?\nAnswer: -82\/17973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11092 - 10974. What is the remainder when 1285 is divided by q?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120851 by 2.\nAnswer: 120851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/29 + 61\/87. Let n = 445 + -457. Let v be 15\/(-100) - ((-15)\/n)\/(-5). Is s at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*c*f**2*g**3 + 168*c*f*g**2 + 7*c*g**3 - 2*f**2*g wrt g.\nAnswer: 90*c*f**2 + 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130440084 and 14517.\nAnswer: 391320252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 33. Let r be (-3 + -1)*(-2874 - n). What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 27984 = 43*g - 39*g, -4*l + 4*g + 55968 = 0. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12 - 65\/(-20). Suppose -268 = -f - 5*q, 8 = -l*q - 8. Let r = 431 + f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h - 3. Let t(i) = i**3 + 7*i + 2. Give 2*s(r) + 3*t(r).\nAnswer: r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*o - 199 + 45 = 218*o. Is o < 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/120 - 55*n**4\/24 + 13*n**3\/6 + 24*n**2. Let a(t) be the first derivative of m(t). Let z(w) = w. Determine z(a(q)).\nAnswer: -q - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -568*h**3 - 8*h - 6. Let q be x(-1). Calculate the highest common divisor of 270 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19453 + 207*y - 110*y - 19453 - 113*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -73. Put v, -5, -7, -4 in decreasing order.\nAnswer: v, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*(-4)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/13)\/(s**(1\/15)*s)*(s\/(s*(s*s**(2\/3)*s*s*s)\/s))\/(s**(-4\/11)*s*s*s) assuming s is positive.\nAnswer: s**(-15478\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5447721575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3404949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12982993*k**3 + 46196727*k**2.\nAnswer: -77897958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1577029\/5 or -315405?\nAnswer: -315405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 37. Let r be m(5). Suppose r*o - 24*o = 7071. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-78)\/(-6) + -8).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 3*r - 70. Calculate f(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 33*h**2 + 2*h**2 + 135*h**3 - 48*h**3 wrt h.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**2 - 32*n + 1192. What is the lowest common multiple of x(-21) and 1418?\nAnswer: 70900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 42208*y + 26759876. Give z(-634).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 + 3 = 0. Let y be g\/(-28) - 80\/(-14). Find q, given that 4*q**5 - 3*q**2 + 2*q**5 + y*q**3 - 4*q**5 - 6*q**4 + q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 17, -1.16?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Suppose 6*t - 5*t + 9 = 5*j, j + 3*t = -11. Let i(m) = -m**2 - 2*m + 4. Let u be i(j). Let c(b) = 3*b. What is u*c(a) - 4*l(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/(-341))\/(21\/660*8)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1 - 2*n - 5*n - 2 + 8*n. What is m(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 84 = 13*y + 9*b - 3 + 48 - 28, 2*y + 35 = -9*b for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/227 or 39.4?\nAnswer: 7\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 2*c**2 - 3*c - 7. Let l(b) = -2*b**3 - b**2 - 2*b - 8. Let d(a) = 2*l(a) - 3*y(a). Let t be d(5). Let f be (5\/(-35))\/(4\/(-14)). Is t > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 390?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 680371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 4)*(-7 - (-10)\/5). Solve 0 = -0*h + i*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-1 + -16) - (-1)\/(-1). Suppose 3*i - 11 = -2*p, 3*p - 7*p - 3*i + h = 0. Sort 4, -2, p in decreasing order.\nAnswer: 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, -1248, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 30*u**2 + 80*u - 1520. Calculate d(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1750\/126 - -12) + 359\/9. Solve -17 = -5*t - o, w*t = 43*t + o - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 11*s**6\/40 + 701*s**4\/24 + s**2 - 1229. Find the second derivative of h(t) wrt t.\nAnswer: 198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -14. Let s = 13 - f. Let o = -6.000008 + s. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 38*d + 72. Let x be a(2). Let y be (2\/(-1) + 3)*0. Suppose x*u + 5*u - 7495 = y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 110279 by -110279.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 18581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 - 16 = -2*k - 10 + 21, -1233 = -n - 112*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28089013*v**3 + 56178046*v**3 - 28089040*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111c (base 14) in base 15?\nAnswer: -d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) + 3 + -8. Let j = 0.71 - 0.898. Let x = j - 0.212. What is the nearest to -1 in c, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 328683937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s**4\/7 - 1082*s**3\/7 - 16606*s**2\/7 - 67470*s\/7 + 12168 = 0.\nAnswer: -39, -12, -91\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(1\/2))*b)**(-6\/13)\/(((b*b\/(b\/(b*b**(2\/11))))\/b)\/((b**(4\/9)\/b*b)\/b)))**(-2\/19) assuming b is positive.\nAnswer: b**(6254\/24453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, -1, 1, -5, -4, 35 in descending order.\nAnswer: 35, 24, 1, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/((f*((f\/(f\/(f\/((f\/(f*(f\/(f*f**(-2\/7)))\/f))\/f)))*f*f)\/f*f)\/f)\/f*f))\/f)\/f)**(2\/129)\/(f**(2\/5)*f*f**(-2\/17)\/f))**(-1\/7) assuming f is positive.\nAnswer: f**(8924\/179095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872 divided by 1?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 422 + 3648. Is 74 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11415? (a) -1\/5 (b) -0.048 (c) -0.042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1849 and 16598?\nAnswer: 713714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(-22)\/(-22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17198*r**3 + 33945*r**3 - 16745*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -691?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.75 - -0.25. Let v = 4.331 + -4.421. Which is the second biggest value? (a) v (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460438 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3988311456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 6)*(1048*x**2 - x + 9*x**3 - 1048*x**2) to w*x**2 + a*x + n*x**3 + t and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 7*p - 5. Let z be v(2). Let b(g) = g + 21. Let i be b(z). What is the tens digit of 10*(-15)\/(-6)*i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 454 + 454.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17687 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 36. Let s(v) = v + 3. Let r(h) = 3*h + 10. Calculate f*r(o) - 7*s(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 255054.19 and -8?\nAnswer: 255062.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945 and 4725?\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 144984290.7+-426\nAnswer: 144983864.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -79, -212, -461, -862, -1451, -2264?\n\"Answer: -6*h**3 - 4*h**2 + h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 2*w**3 + w**3 + (2*w + w - w)*(-746*w**2 + 305 + 3062*w**2 - 304) in the form p + m*w**3 + x*w**2 + o*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317.3 - -63.7. Let v = d + -342.2. What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 3*a + 24, -90*a + 91*a = -3*i - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(1*sqrt(11)))\/(sqrt(288)*2 + sqrt(288) - sqrt(288) - sqrt(8)).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 5\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times -3?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 24. Let y = 19 - k. What is the nearest to 0 in -2\/7, y, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o - 3*o**2 + 0*o**2 + 45*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 20 - 58 - h**2 + 8*h + 30. Let m be n(6). Let v be (24\/(-27))\/m + 4\/18. Solve v = 4*q - 2 - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 6, z: 1, t: 8, n: 1, k: 2}. Give prob of picking 1 k and 1 d.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779567069.\nAnswer: 779567069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/184265413 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**3\/3 + 56*n**2\/3 + 52*n\/3 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1748 + -1749. Is 0.1581 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80779 - -8622111.479\nAnswer: 8702890.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3998*(15\/5 + -4) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrxxxxrpr. Give prob of sequence lx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 48*a = -n + 5, -3*n = -a - 15. Factor 466*x**5 + 15*x**2 + n*x**3 - 933*x**5 - 10*x - 15*x**4 + 472*x**5.\nAnswer: 5*x*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21688 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 90. Suppose 3*i = u + 1. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 17723*p - 700. Let k(j) = -j. Give w(k(u)).\nAnswer: u**2 + 17723*u - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*w + 152*w + 3*g - 16, -199 = w - 17*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3565 and -0.2.\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 422689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.623 (c) 49\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 3*o**2 - 4*o**2)*(-11*o + 39 - 39) - 2*o**3 + 2*o**3 - o**3 - 16*o**2 + 16*o**2 + 10*o**3 to the form n*o**2 + t*o**3 + j*o + m and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -305.49 + 305.4. Let r = -75 + 76. Which is the closest to -6? (a) 2 (b) f (c) r (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/2)\/((4\/(-3))\/(-5*32\/(-240)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196132230*r**4 + 66*r**2 - 16652*r + 41 wrt r.\nAnswer: 4707173520*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**3\/9 - t**2\/3 + 5. Factor y(x).\nAnswer: -2*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46758*g + 131535 wrt g?\nAnswer: -46758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 347*f + 343*f + 52 = 0, f = -7*h + 73 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d - 4. Suppose -5*u + 0*h = 5*h - 45, 2*u = 4*h. Let n = -1 - u. Does 8 divide z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (51 - 22) - -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -296 + 481. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.535816 to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 137, 3?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 2*v**2 - 3*v. Let z(i) = -3*i**3 + 5*i**2 + 8*i. Let b be (-2135)\/(-65) + (-2)\/(-13). Let a be (-22)\/b - (-7)\/(-3). Determine a*z(r) - 8*y(r).\nAnswer: r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128349.0883 - -128325. Let q = -0.0117 + o. What is q rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 741*n**3*z**3 - 5*n**3*z + 24*n**3 - n**2*z**6 + 33*n*z**2 wrt z?\nAnswer: 4446*n**3 - 120*n**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 9. Determine j(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -33. Which is the nearest to 1\/5? (a) 2\/9 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -13230?\nAnswer: 13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 18. Is g*((-17)\/(-3) - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 90*o**3 - 5*o + 48 - 29 - o**2 - 23. Let s be k(-1). Let q = s + 141. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191763 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.28 - -3.78. Put 1\/12, -3\/5, x, -0.2 in increasing order.\nAnswer: -3\/5, -0.2, 1\/12, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/7 - 212*d + 32643216\/7 = 0 for d.\nAnswer: -4428, 3686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 10}. Give prob of sequence bbb.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 1289100.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -6*a + 11*a + 19, 0 = 3*m - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f + 6. Let h(t) be the first derivative of 3*t**2 - 5*t - 42. Let q = 11 - 6. What is q*a(s) + 6*h(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -203, -160, -117, -74, -31, 12?\n\"Answer: 43*p - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + h. Calculate the remainder when a(-1) is divided by 12 + 3*(3 - 4) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 4*k**2 - k - 2. Let r be h(3). Let x = r - -5. Is 6\/x*7*3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -446.9 - -450.9. Which is the biggest value? (a) 0 (b) 165 (c) x (d) 3\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 3*n - 4, n = -1. Suppose -42 = -y*c + 8. What is the greatest common factor of 80 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 63\/8 of a millennium?\nAnswer: 94500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 13*s**2 - 397 + 13*s + 800 + s**3 - 393 + 12*s**2 + 138*s. Give u(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 - 385*f**4 + 755*f**3 - 375*f**2 = 0. Calculate f.\nAnswer: 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 26*t + 3033 - 30609. Let p(i) = -7*i**3 + 2*i**2 - i - 2. Calculate the remainder when t is divided by p(-2).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*c - 46. Let f = c - 11. Suppose -4*q + 10 = f*t - 5, t - 2*q - 3 = 0. Solve r + 2*r = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhdhhhhqqqdqhdh. What is prob of picking 2 q and 2 h?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**5 + 7*y**4 - 21*y**3 + 19*y**2 - 6*y. Let v(m) = -16*m**5 + 34*m**4 - 105*m**3 + 95*m**2 - 30*m. Let s(w) = -33*f(w) + 6*v(w). Factor s(j).\nAnswer: 3*j*(j - 6)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 86, 0, 0.023, 3?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3014.41*8\nAnswer: 24115.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -653*s - 25. Let l(t) = 654*t + 31. Calculate 5*k(f) + 4*l(f).\nAnswer: -649*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60.991 * -206.5\nAnswer: -12594.6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 44*l**6 - 9*l**5 + 2*l**4 - 3*l**2 + 3. Let s(z) = z**6 - 3*z**5 - z**4 + 1. Let j(h) = d(h) - 3*s(h). What is the third derivative of j(i) wrt i?\nAnswer: 4920*i**3 + 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (1 - -1) + -401 + 404?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) -1769 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -m + 3*m - 5*p, 3*p + 54 = 2*m. Suppose 0 = -2*t - 5*v + m + 27, v - 74 = -5*t. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + q, -5*k - q + 14 = 2. Find the second derivative of -2*n + n - 2*n**k + 18*n**3 + 4*n wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5220 - -6453. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 3, u: 4, i: 2}. Give prob of picking 2 u and 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 190195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-35002)\/(-129))\/(-74)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 722, 720, 718?\n\"Answer: -2*y + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:35 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 11205 - 11205 - 3*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2756534164.\nAnswer: -2756534163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 5*o - 2*o)*(3*o**2 - 2*o**2 - 3*o**2) + (-7*o + 5*o - 9*o)*(-o**2 - o + o).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42303179, 84606348, 126909517, 169212686?\n\"Answer: 42303169*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4687560 is divided by 1688.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-1)*(2 - 3). Let h(s) = -s - 13. Let v be h(n). Let p be (36\/(-8))\/((-3)\/v). Put 0, p, -3, 1 in increasing order.\nAnswer: -3, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 84880.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * -5.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2504*k + 4776*k - 2652*k - 14060 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*k - 44 - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*p + 18, 5*p - 3*w - w - 42 = 0. Calculate the greatest common factor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*c = 13 + 23, 5*g = -4*c - 76. Let z(n) = 4*n + 20. Calculate z(g).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7342 - 20390?\nAnswer: -27732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174665 (base 10) in base 9?\nAnswer: 14444710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/16)\/l*l*l*l)**(-13\/4)\/(l**28)**(-9\/11) assuming l is positive.\nAnswer: l**(6833\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*p + 9. Let w be (-6)\/(-2 - 1) - p. Let y = -4 + 3. Are y and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*h = -12, -z + 0*h - 3*h + 4 = 0. Let s = z + 0. Solve s*q - 5 = 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*g - 0*x + x, -1 = -2*g - x. Solve -5*o + 4*o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0637216 nanograms to kilograms.\nAnswer: 0.0000000000000637216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 258 - 294. Sort 0, 2, d in increasing order.\nAnswer: d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 26*i = -48. Factor i*s - s**5 - s**3 + 3*s**2 - 11*s + 7*s - 3*s**4.\nAnswer: -s*(s - 1)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 4)\/(-3) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -65. Suppose -20*n + 26*n = 18. Find the first derivative of -5*l**3 + 19*l**n - t + 13*l**3 - 1 wrt l.\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u + 8. Let s be c(-1). Let m be 4 + 237\/s + (-10)\/35. What is the greatest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -8. Suppose b = 5*c, 4*i = -i + 5*c + 60. What is the units digit of (63\/i)\/(3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/6, 5, 3\/4, -20 in ascending order.\nAnswer: -20, -6, 1\/6, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21))\/((-250)\/(-175)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 13*z - 8 - 11*z**2 + 13*z**3 - 14*z**3. Let o = -3717 - -3707. Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 236.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 greater than 2819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 4\/5 (b) 1 (c) 1\/4 (d) -40 (e) -1.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -66. Let m(b) = 7*b**3 + 5*b**2 - 5*b + 7. Is m(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)*(g\/(g**(1\/3)\/g))\/g assuming g is positive.\nAnswer: g**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 - 8 = 0. Let s = 31 + p. Suppose 5*w - 24 = s. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 1291. List the prime factors of x(0).\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4 - k - 3 + 1. Let v = -2 - -2. Let t be w(v). What is t rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12*g - 14195 = -16*g, 0 = -3*q - g + 42651. Does 59 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = -801 + 906. Let u be (0 - (-2 + 3)) + 5. Solve p + n*d = -8 - 12, u*p - 40 = 4*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose 69*g + 68 - 27 + 97 = 0. Sort b, 4, g, -31 in descending order.\nAnswer: 4, b, g, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 418967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.921 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41067 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 4.4 (c) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -393 - 2*j - 697 + 3*j. Let n be g(0). Round n to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -465 + 475. Let y(w) be the first derivative of -2\/3*w**4 + j + 4\/3*w**3 + 2\/15*w**5 - 4\/3*w**2 + 2\/3*w. Find q, given that y(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k + 1506. Let q be f(-9). What is the highest common factor of 264 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/6 - 7*d**3\/3 - 10*d**2 + d - 42. Determine l, given that j(l) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, p: 12}. What is prob of sequence yppy?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930612 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 (base 11) in base 10?\nAnswer: -708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -493104.0406 rounded to the nearest 1000?\nAnswer: -493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 18 = -5*f, -2*f = 5*i - 4 - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -820, -817, -816, -817, -820?\n\"Answer: -a**2 + 6*a - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 16*m**2 - 13*m - 6. Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 693 and 27?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + n**2 - n. Let o be i(1). Solve -o*s + 4*s = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose -6*t + 104 = -j*t. What is the greatest common factor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, b: 3}. Give prob of picking 1 l and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3)*2 + sqrt(3)) + (-1*(sqrt(3) + 0))**2.\nAnswer: 3 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373*f**2 - 666*f**2 - 10589*f - 5678*f**2 wrt f.\nAnswer: -13434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n - 5*i - 21, -4*n = 4*i - 12. Let l = -32 - -36. Let g = -1105 + 1110. Solve -g = l*u + n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-22))\/5*429*(-18)\/(-32994).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 2, v: 1, c: 4}. What is prob of picking 1 v and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Let d = -1 - l. Let q(n) = 2*n - 3*n - 2 + 1. Let u(c) = -c**2 + 3*c + 2. Give d*q(m) - u(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/6)\/((-2)\/(-68)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26082 - -77549\/3. Is x equal to -231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-325)\/(-15))\/(-1*2\/6). Let b = 207 + -79. Let x = j + b. Calculate the greatest common factor of 21 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**3\/3 + 625*f**2 + 96830*f\/3 = 0.\nAnswer: -46, 0, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12452.9952 rounded to the nearest one hundred?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2046 and 27.\nAnswer: 18414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 m, and 1 d when four letters picked without replacement from {l: 1, m: 3, j: 4, d: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450104 is divided by 2052.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 20*m + 12. Determine b(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, 2\/13, -1\/3, 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4208, -8406, -12590, -16760, -20916, -25058?\n\"Answer: 7*b**2 - 4219*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.952 times -5?\nAnswer: 4.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15931461587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2\/3*v**3 + 2*v**2 - 3\/4*v**4 + 2*v + 1. Let r be f(-2). Calculate the greatest common factor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*s + 3*s. Suppose 626 = 5*k + 2*a, -k + s = 3*a - 115. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-12)\/22*1743\/(-5229)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3456)\/38304 - (2\/7)\/(-2). What is the closest to 2\/3 in -2, -4, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 1512*n**2 + 124140*n + 582400.\nAnswer: -4*(n - 448)*(n + 5)*(n + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81621451 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.281 - -2.281. Sort 1\/2, x, 0.7, 8 in increasing order.\nAnswer: 1\/2, 0.7, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 902*k**2 - 5429*k + 99. Give n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-b + b**3 + b + (42 - 4*b - 42)*(-3*b**2 + 1 - 1)).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.8654 micrograms in grams?\nAnswer: 0.0007768654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*r + 191*r - 42. Let c(p) be the second derivative of 2*p + 0 - 1\/11*p**2 - 1\/11*p**r + 2\/33*p**4. Factor c(k).\nAnswer: 2*(k - 1)*(4*k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 6*n**2 + 6*n + 219. Let i(c) = 4*c**3 + 13*c**2 - 13*c - 437. Determine -6*i(a) - 13*o(a).\nAnswer: 2*a**3 - 225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4815172.02 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 2*y - 11. Is q(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4625*d + 4684*d - 1534 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, h: 5}. What is prob of sequence hhaa?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/(-24) - 3 - 1)*37\/370?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -44, -69, -96, -125, -156?\n\"Answer: -x**2 - 20*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 4*t**2 + 2*t + 30. Let b be m(-6). Find k, given that -1230 - 5*k**2 + 1230 + b*k = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2173296 by 114384.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/4 - 4*r - 7. Let q(z) be the third derivative of 0*z - 5*z**2 + 0 + 0*z**4 + 0*z**3 - 1\/20*z**5. What is q(p(k))?\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 6 + 13)*((-4*u - 5*u + 4*u)*(2 - 2*u - 2) - u**2 + 0*u**2 + 2*u**2 + 0*u - 2*u**2 + 0*u).\nAnswer: 342*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 16*f - 52. Let v be (0*f\/8)\/(-1). Solve 0 = -i - v - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38717 (base 11) in base 9?\nAnswer: -84035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14922, -3, -2, 7 in increasing order.\nAnswer: -14922, -3, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t - 3*t. Suppose -k - 3*a + 14 + 13 = 0, 3*k + 2*a - 88 = t. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - a**2 - 6*a - 8. Let x = 209 - 209. Let l be j(x). Let i(d) = d**3 + 8*d**2 + d - 3. Give i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 274 - 443)*(-3*d**2 + 6*d**2 - 3 - 4*d**2 - 4*d).\nAnswer: 335*d**2 + 1340*d + 1005","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert d8d (base 14) to base 8.\nAnswer: 5161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 893690042.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 60 = 5*c, -2*j + 3*j = -3*c + 52. Suppose -j = m - 6*m. Solve 0 = 2*p + p - 2*o, o = -4*p + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 2. Let w = 10.9 - 11.3. Which is the biggest value? (a) 0.1 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -8*v + 9*v. Suppose v = 2*l - 15. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(0 + 4\/(-6)). Let q(x) = x**3 + 6*x**2 - 9*x - 12. Let u be q(-7). Solve -u*i + r*n - 2*n = 16, -4*n = -5*i - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + -1 + 944\/(-112). Which is bigger: -2\/87 or w?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 51. Solve -10*p**2 + t*p**5 - 7*p**5 - 14*p**3 - p**3 = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 13*z**2 + 23*z + 17. Let j(i) = -i**3 + 12*i**2 + 21*i + 16. Let u(d) = -4*a(d) + 5*j(d). Let m be u(7). Is m at least as big as 152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 671968334?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 29 = -3*n + 30, 0 = t - 2*n - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244 - -3303?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fafaf. What is prob of picking 3 f and 1 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -18 + 6 + -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(10\/(-5)) - -154. Suppose -1333 = -2*h + m. List the prime factors of h\/28 - 9\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3\/4*y**3 - 3\/4*y + 0 + 3\/2*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*c - 430*c - 559*c + 129*c.\nAnswer: -1208*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/154 and 23\/238.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -17.4. Let n = z + 1. Let f = 6 - 5.9. What is the third smallest value in f, n, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635429 is divided by 317709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73479.3 + 73478. Let g be 12*(10\/(-4))\/5. Let w = -80\/13 - g. Which is the fourth biggest value? (a) -2\/3 (b) n (c) w (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15632.26471 take away 0.1241?\nAnswer: -15632.38881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23396138 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198960115?\nAnswer: 5, 19, 2094317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 8*l + 10. Let t be n(-5). Suppose t = 2*s - 13*s + 605. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**3 + 13*k**2 + 11*k - 34. Let i(v) = -4*v**3 - 7*v**2 - 6*v + 17. Determine -6*a(b) - 11*i(b).\nAnswer: 2*b**3 - b**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1683\/13 equal to -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51063*s**2 - s - 835977.\nAnswer: -102126*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 8. Let h(z) = -4. Let n(t) = -3. Let u(y) = 3*h(y) - 5*n(y). Let d(b) = 2*r(b) - 5*u(b). Give d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2 - 3 - 2 - 2*y**2 + 5 + 20*y**3 + 10*y. Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.22, -4 in descending order.\nAnswer: 1\/4, 0.22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3022703, 6045418, 9068133, 12090848, 15113563?\n\"Answer: 3022715*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190 (base 10) to base 13.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/30 and -13\/5052.\nAnswer: 25260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -18 + 3. Calculate the remainder when 27 is divided by (-2)\/(-1)*s\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 + ((-240)\/175)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 10}. What is prob of sequence kw?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9))\/(2\/6). Is f*(2 + -19 - 0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 10581?\nAnswer: 5\/10581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-8)*v)))\/v*v\/((v\/(v\/(v\/v**(-3\/10))))\/v)*(v*v**(1\/4))**(-1\/21))**(-12\/13) assuming v is positive.\nAnswer: v**(3091\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urnnnbrbnrr. Give prob of sequence rnr.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084997407 to five dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.57597 micrograms?\nAnswer: 0.00000557597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -608*u + 605*u - 27. Calculate the remainder when 15 is divided by (-3*(-8)\/u*3)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-4))\/(4\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 1 + 2*h**3 - 6*h**3 + (3 + 2 - 4)*(h**3 + 2*h**3 + 2*h**3).\nAnswer: 3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - 0) + (-1 - -25 - (-143 - -161)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/15)\/(5\/(-100)). Does 7 divide (-59)\/(-4) + y\/(-64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*w + 6 + 0 - 7 - 2.\nAnswer: -786*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/4 - 803*j**2 - 432575*j - 54113136 = 0?\nAnswer: -242, 3696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 160072?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4947, 4699, 4451?\nAnswer: 4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190090.\nAnswer: 2, 5, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41225259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/5))**(3\/7)*y**(1\/8)*y*y**(-3\/2)\/y assuming y is positive.\nAnswer: y**(-241\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 28. Let k(u) = 17*u - d*u + 18*u. What is k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1581*h - 7. Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5787.153 decades?\nAnswer: 57.87153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 24*b**2 + 179*b + 29. Give c(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53816.7 and 159.\nAnswer: -8556855.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/(n\/(n*n**(-1\/3))*n))\/n)\/n))\/(n**9*n)*(n*n**(-2\/3)*n)**14 assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 2 + 0*s**2 + 2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21459398 and -755.91?\nAnswer: 21460153.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 871 (base 11) to base 10\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 5:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -37 + (9 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75, 162, 249, 336, 423?\n\"Answer: 87*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -414 + 417. Let i(b) = -11*b**2 - 33*b + 36*b + 0*b**3 + b**n + 6*b**2. Let m be 1\/3*(15 - 0). Give i(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 - 15750*u + 20671875 = 0. What is u?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -18, -69, -172, -345, -606?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 357. Let x be 0 + (2 - -1 - j). Suppose 5*m - 450 = -5*c, 0*c - 2*c + x = m. What is the greatest common divisor of c and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 346468447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467844 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -0.003. Let n = 0.02704 - s. Round n to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1642, -1642, -1654, -1684, -1738, -1822, -1942, -2104?\nAnswer: -2314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13498, -49726, -110098, -194614, -303274?\nAnswer: -436078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*i + 0*i = -20, -2*r = -i - 4. Let n = -909 - -911. Suppose t - n*g - 10 = g, -g - 15 = 2*t. Sort r, -3, 4, t in descending order.\nAnswer: 4, r, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1390, -2803, -4216, -5629?\n\"Answer: -1413*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m = -67 + 244. Which is the second biggest value? (a) -0.2 (b) m (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(357\/3672*(-36)\/(-18))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j**2 - 2*j. Let i(w) = 44*w**2 + 5*w. Determine -2*i(a) - 7*u(a).\nAnswer: 17*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -241641, -241659, -241703, -241785, -241917?\n\"Answer: -2*v**3 - v**2 - v - 241637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -48 + (4 - 3) + -9?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 103.2 and -1\/30 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/173 + -17831\/2076. Calculate the common denominator of 45\/4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 18*y - 16*y + 3*y**2 - 43*y to the form t + w*y**2 + q*y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -576*t - 14987. What is x(-26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 4, l: 5}. What is prob of picking 1 l and 1 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2. Let p(k) = -1218*k**2 + 638*k + 319. Let l(i) = 23*i**2 - 12*i - 6. Let q(v) = -319*l(v) - 6*p(v). Determine q(r(u)).\nAnswer: -1044*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -303 >= -5772\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -62*z**2 + 11817*z - 6914899. Let v(u) = -13*u**2 + 2364*u - 1382980. Let l(j) = -12*h(j) + 57*v(j). Determine f, given that l(f) = 0.\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15520583 + 9172661419\/591. Let s = a + -6\/197. What is the common denominator of s and -17\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-45))\/(192\/720)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6)*2430\/630?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/40944 and 34\/39?\nAnswer: 532272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-4) - (-9)\/6. Solve -2*v + l*v = 4*u - 24, 2*u - v - 11 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + l - 15. Let f be (1 + -2)\/((-3)\/12). Let h be w(f). Suppose -g = -2*g, h*g - 357 = -3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10))\/(-6*(-2)\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -9*k**4\/4 - 8*k**3\/3 - 5. What is the third derivative of p(q) wrt q?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/179 + -174\/895. Which is greater: 5\/2 or d?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -33*p - 24. Let x(t) = 12*t + 8. Calculate 3*l(j) + 8*x(j).\nAnswer: -3*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) - (sqrt(6655) + (sqrt(6655) - sqrt(6655)*4) + sqrt(6655) + sqrt(6655)))\/sqrt(5))**2 - (sqrt(396) + sqrt(44) + -2)**2.\nAnswer: 32*sqrt(11) + 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61106, 61117, 61130, 61145, 61162, 61181?\nAnswer: 61202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2892105458*q**2\/19 + 5932212*q\/19 + 3042\/19 = 0 for q.\nAnswer: -39\/38027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-2)\/114*-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**2 - 23*r**2 - 25*r**2 + 44*r**2 + 31*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/3745 and -43\/4600.\nAnswer: 3445400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 83 times 25\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(2 + 0 + -1). Let h be q\/(-6)*6\/4. Let a be -1*(h + 2)\/1. Solve 5*j - 3*s = 10, a = 4*j - s - s - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose 2*r + r - 6 = m. Suppose 0*z + 8 = r*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 1*(-3 + 1). Let f = g + 8. Suppose -3*q + 2450000 = f*q. Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w + 19. Give b(-14).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24550, 3, 18 in increasing order.\nAnswer: -2, 3, 18, 24550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 224792443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/66 - -149\/1122. Let y = -142310 + 142315. Which is the second biggest value? (a) y (b) 25 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 - 394*g + 1 + 0*g**2 + 392*g + 0*g**3 + g**2 as h*g**3 + i + d*g**2 + p*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1506 divided by -3\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 137, 149, 197, 299, 473, 737, 1109, 1607?\n\"Answer: 3*r**3 - 9*r + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1876800 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (65\/(-3))\/(80\/(-240)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2. Let o = -2 - -6. Suppose -p - o*p = -3*b - 9, 13 = 5*p - b. Let k(f) = -f - 4*f + p*f + 0*f. Determine g(k(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140339 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90290441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*k - 4 = 0, d = -3*d + 3*k + 11. Let t be ((3 + 33)\/2)\/d - 1. Let b(w) = -w + 10. Give b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g - 8. Let y(v) = 4*v - 2. Let z(j) = -6*r(j) + 22*y(j). Let k be z(-4). What is the greatest common divisor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4)\/(-7)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -21075726242.\nAnswer: 21075726245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.8 + 31. Suppose 2*w + 10 = 4*m, 5*w - 4*m = -0*m - 1. Suppose 0 = 2*n - 1 + w. Which is the third biggest value? (a) q (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3*l + 24, -k - 19 + 3 = 5*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -39, -77, -129, -195, -275?\n\"Answer: -7*v**2 - 3*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdfl when four letters picked without replacement from {d: 1, b: 7, f: 6, l: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 17*u**4 + 0*u**3 + 56344*u - 18*u**4 - 1 - 56345*u to m + l*u**3 + p*u**4 + k*u + i*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-2)*12\/(-75). Suppose -3*g + 9 = 0, -31 = r + 3*r - g. Let z = -6 - r. Is z >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times 13.4385\nAnswer: 0.0940695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*s**2 + 17 - 17 - 104*s**2 - 113*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24*(-11 - 2)\/(-39)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 696, 762, -13.\nAnswer: -13, 696, 762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 329751.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -14 - (4 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-12))\/(9 + 66\/(-4))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:09 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15356032 is divided by 79?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:49 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29204593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.27860628 and -1.\nAnswer: -0.72139372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*w + 652, 5*w = 3*z - 964 + 935 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from {p: 3, v: 3, t: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8025, -33935, -95555, -210741, -397349, -673235, -1056255?\nAnswer: -1564265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let h(v) = -3*v**2 + 7583 - 7583. Give h(l(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2.2, 2 in descending order.\nAnswer: 5, 2, -2.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gugggguugggguuuu. What is prob of picking 1 g and 2 u?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1668, -3302, -4926, -6534, -8120, -9678, -11202?\n\"Answer: u**3 - u**2 - 1638*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 12. Let q(r) = r**3 + 3*r**2. Let z be q(-3). Suppose 8 = 4*p - z*p. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in -15, -3, 2, 0.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 7*b**2 - 9*b + 18. Let g be q(6). What are the prime factors of (-4)\/(-8)*(0 + 2 + g)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0 + 4 - 4 - 2*x. Let i(k) be the third derivative of 0*k + 2*k**2 + 0*k**3 + 0 - 7\/12*k**4. Determine i(h(d)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364 + 366 - 43*c**2 - 15*c**2.\nAnswer: -58*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (-14)\/(-7)*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 66.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 13*k**2 - 12*k - 10. Let a be g(-14). Let v = -30 - a. Let s(q) = 83*q + 39. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 4. Let n = -9 + 9. Let x(t) be the third derivative of -1\/24*t**4 - 5\/6*t**3 + 3*t**2 + 0*t + n. Determine -6*v(q) - 5*x(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9516883, -2\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*v + 805, 5*v = 4*s + 545 - 3809. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38518051?\nAnswer: 11, 13, 47, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1696)\/8586)\/((-2)\/102) + -10?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -20775580.825.\nAnswer: -20775579.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssbhjkjbhjhjhbbsbs. Give prob of sequence hjk.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415473 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6029186*a**3 + a**2 + 3014634*a**3 + 3014557*a**3.\nAnswer: 5*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (5 - 9) - -5) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(9\/(-6) - 1). Let q = k + -139\/20. Let m be -7 + 5 + (-6)\/(-1). Put m, 2, q in descending order.\nAnswer: m, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448.3 times -0.11\nAnswer: -49.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 5. Let i be x(7). Find l, given that -i*l**2 - 45*l**3 - 3*l**4 - l**2 + 51*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b. Let d(g) = -1. Let i(z) = -z - 4. Let v(l) = 4*d(l) - i(l). Give v(s(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 68 - 43 = 0, 2*c - 30 = -5*t. Let k(x) = 24*x - 194. Calculate k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.65246 - -0.03654. Let h = 5.7 - q. Let n = h - 0.111. What is the second biggest value in -0.5, 1, 4\/3, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d + 89*d - 22*d + 6*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 20*r**2 + 20*r - 23. Determine m(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 102*c + 1235. Determine h(84).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**9\/60480 + u**8\/3360 - u**6\/360 + 29*u**5\/60 - 15*u**2. Let n(w) be the third derivative of t(w). What is n(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*u**6 + 0*u**2 + 2*u**2 + 0*u**2 wrt u.\nAnswer: 1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 1 - (1 + 3 + -4). Differentiate 33 - 2*o**p + 3*o**4 - 21 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnnnn. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.466. Let k = f + 0.144. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55304 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30*y = 35*y - 60, 0 = 3*y. Let u(k) = -k + 4*k - o*k - k**2 + 1. Determine u(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.054 + 33.946. Sort y, -0.07, -4 in descending order.\nAnswer: y, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113355 (base 6) to base 11\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**4\/4 - u**3 + 2*u**2 + 4*u - 3. Let k be g(-4). Let j = k - 1. Solve -j*f + 1 = 4*v, -8 = 5*v + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 6586306?\nAnswer: 3\/6586306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f**2 + 101*f + 21. Calculate the remainder when 87 is divided by z(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4313?\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 15*o**2 - 21*o - 9. Let f be v(17). Let s = f - 21. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-5)*-1*-3*4\/(-504).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*o*x + 3*f*x**3 - 4*f*x**2 - 344*o*x**3 - 7*x wrt o?\nAnswer: 3*f*x - 344*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 2\/4075, 0.\nAnswer: -5, 0, 2\/4075, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 127886.0153 to the nearest 10.\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 12:55 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or 2.4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + r + 3. Let w(c) = -c**2 - 1. Let y = -14 - -16. What is y*l(q) + 4*w(q)?\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 4*v**5\/5 - 367*v**4\/2 - 5242*v**2 - 11074. What is the second derivative of j(f) wrt f?\nAnswer: 48*f**2 - 4404*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 16. Let j be b(-6). Let p(i) = i**3 - 14*i**2 + 12*i + 18. Let x be p(13). What is w in -x + 10 + w**2 + j*w + 1 + 19 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6948 and 13124.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-5) - -1*4. Suppose -3*s + l = -7*s. Let i = -2.76 - -2.56. What is the closest to 2 in i, s, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19*m**2 - m + 17. Let z(u) = u**2 - 3. Let x(w) = a(w) - 2*z(w). Is x(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/40*5\/(-7))\/((-4554)\/(-1771))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*w + 360, 3*l + 144 = -3*w + 5*w. Let s(d) = 0 + 1 + w*d - 203*d. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, o: 1, u: 2, l: 1, b: 2}. Give prob of picking 1 b, 1 m, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:09 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 426. What is the second derivative of -z*q**2 - 6*q**3 + 364*q**2 + 2*q wrt q?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:57 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6232.5417 - -6232. Let m = b - -0.55. What is m rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((64 - 71) + 4 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417*l - 6 = 1419*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.092093.\nAnswer: -0.0736744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140870*m**4 - 107515?\nAnswer: 563480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2370051139\/11793255 - 1\/1572434. Let o = -735\/47 + 30217\/141. Let g = z + o. What is the common denominator of 97\/6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 44*n - 618. Let u be o(-42). What is the highest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 4. Let b be c(5). Let v = 56 - 52. Suppose v*m = 3*o - o - 496, 3*o - 734 = 4*m. What is the highest common factor of o and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + (7 - 14) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*a**3 + 2*a**2 + 71961*a + 20368698.\nAnswer: 33*a**2 + 4*a + 71961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 8*x + 5. Let d be s(8). Suppose -w - 4*k = -13, -30 - 50 = -5*w - d*k. What is the remainder when 62 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23481 + 24189. Calculate the lowest common multiple of 118 and x.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swd when three letters picked without replacement from {s: 3, w: 12, d: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -4\/64133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 829968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 3, m: 2, r: 1}. Give prob of picking 1 z, 1 r, and 2 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -294 - -470. What is the common denominator of -29\/4 and -27*68\/x + (-6)\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 17*k**2 - 29*k - 197. Let o be a(-18). Put o, -64, 3, -1 in decreasing order.\nAnswer: 3, o, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83565361 to the power of 1\/2, to the nearest integer?\nAnswer: 9141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 33*g - 9. Let f be z(2). Suppose 54*a = f*a - 36. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -2*v**5\/15 + v**4\/8 - v**3\/2 - v**2 + 85*v. Determine a(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 5. Let q(n) = -n**3 - 29*n**2 + 31*n + 40. Let g be q(-30). Suppose 3*j + f + 8 - 24 = 0, 0 = -j + 2*f + g. Calculate u(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67390 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - (-7 + -15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-2)\/(-3)*-3. Suppose 5*b - 8 - 17 = p. What is the first derivative of -28 + 12 - b*a + 13 wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4 in decreasing order.\nAnswer: 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31002 (base 4) in base 11?\nAnswer: -699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 2*m. Let g = 25 + m. Find the common denominator of 87\/14 and (-4182)\/(-1716) + 4\/g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 24 - (25 - 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = -5*v, -4*j - v = 4*v + 13. Let i = j + 9. Solve 2*z + i = 0, -5*t - 21 + 8 = -2*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47361 + -47348. Let r be 52\/5*5*1. Suppose -2*t - r = -6*t. Calculate the highest common factor of k and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1753970 (base 10) to base 9\nAnswer: -3262885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4*289\/204)\/(((-6)\/(-189))\/(90\/(-135)))\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 - 58*q**3 + 45*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76916168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Let r(m) = -6*m + 5. Let s(x) = 7*x - 6. Let z(n) = -6*r(n) - 5*s(n). What is i(z(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1403 equal to -4210\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379785969.\nAnswer: 11, 251, 861929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446964 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -201, -0.1, -4, -1\/2 in increasing order.\nAnswer: -201, -4, -1\/2, -0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 662378 (base 9) to base 4\nAnswer: 1200202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 3*u - 4. Give y(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -26 - (-12 + 40) - -5.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 6) to base 14.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3721, 3711, 3713, 3727?\n\"Answer: 6*x**2 - 28*x + 3743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (11 - (-3 - 9 - -6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:22 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -254, -118, -658, 1 in descending order.\nAnswer: 3, 1, -118, -254, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**5\/10 + 257*c**4\/8 - 259*c**3\/2 + 779*c**2\/4 - 130*c + 1399. Factor j(a).\nAnswer: (a - 1)**3*(a + 260)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k - 5*r - 2, 5*r = -4*k - 18. Let z be k - 2\/(4\/(-254)). Suppose 3*h = -u + 174, 4*h = u + z + 114. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 225, 3, -17253 in descending order.\nAnswer: 225, 3, -17253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398794?\nAnswer: 2, 17, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1 + 1 - 138*v + 212*v - 110*v. Let h(z) = 13*z - 1. Let m(x) = 4*d(x) + 11*h(x). Calculate m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/3, 0.09492, -0.1?\nAnswer: 0.09492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1134 (b) -5 (c) -0.0329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/736344 and 31\/21763056.\nAnswer: 195867504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 t when three letters picked without replacement from btttbyybbbbfby.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1437 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -91*s + 92*s - 4*k, -4*s + 4*k = -24. Solve s*f = 3*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -988, -0.4, 2, 1\/7 in descending order.\nAnswer: 2, 1\/7, -0.4, -988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 97*i**2 - 8*i + 2. Let s(x) be the first derivative of 65*x**3\/3 - 5*x**2\/2 + x + 5320. Give 5*b(w) - 8*s(w).\nAnswer: -35*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*a**6 + 9*a**5 + 3258*a**3 + 7400*a**2 - 3*a - 105.\nAnswer: 19920*a**3 + 540*a**2 + 19548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 7\/9, 2, 1?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*3\/(15\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2 - 1, -5*r = 2*i - 8. Solve 3*h + 15 = -r*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 + 0*h + 8\/5*h**2 - 2\/5*h**3 - 1\/5*h**4 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0059995289 to four decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.8 in -4, -0.28, -1, -16872?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204408 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6423775 rounded to two decimal places?\nAnswer: -3.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 4*k**2)*(3*k + 92 - 18 - 49).\nAnswer: -3*k**3 - 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -31. Let w = 12 - 8. Let c = w - 1. Solve 0 = -s*t + 9 - c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1282\nAnswer: -6410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 + -1271\/6. Put -2, r, 1\/2, 2 in descending order.\nAnswer: 2, 1\/2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 9.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 1, e: 2, v: 2, k: 6, j: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 34369785?\nAnswer: 6873957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -31 + (-1404)\/(-204) + (4\/34 - 0).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -77*w - 67. Let b(f) = 43*f + 34. Calculate -11*b(q) - 6*c(q).\nAnswer: -11*q + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.197274 hours in microseconds?\nAnswer: 4310186400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/6 - f**2 - 2*f. Let y be w(1). Sort -0.1, y, -5 in descending order.\nAnswer: -0.1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/33574559?\nAnswer: -3\/33574559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 8. Let c be o(7). Do -4\/9 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111102102203 - -30?\nAnswer: 1111102102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - g + 16 = 2*t, 0 = -3*g + 12. Suppose 0*h - t*h - 241 = -o, 944 = 4*o + 4*h. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*l - 102*l + 148*l + (1 + l - 4*l + l)*(0 - 3 + 4) to b*l + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*(-15)\/(-10). Let n(x) = -x**3 + 5*x**2 - x. Calculate the remainder when 18 is divided by n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -13. Suppose k + 3*k - 40 = -5*t, 4*k - 16 = t. Let v(a) = t*a + a - x*a. Let i(q) = -4*q**2. Determine v(i(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2 - 39\/(-20)). Suppose 1737*r - 2 = 90*r - 2. Solve -4*x + r = -t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6*d + 25 = 2*d, -4*a - 2*d - 20 = 0. Let o be 550\/(-528) + (-3)\/24 + (-1)\/(-6). Sort 12, a, o.\nAnswer: a, o, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27080 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**5\/5 + 2911*u**4\/2 + 11*u**3\/3 + 252*u**2 + 14865. What is the third derivative of p(m) wrt m?\nAnswer: -48*m + 34932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 6*g - 156 = -36*j, 5*j + 54*g - 221 = 51*g for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2768.23825 + -0.40025. Let v = x - 2764.838018. Let a = 3 - v. What is a rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m + 71. Let s be v(-8). Let i = -14 + s. Solve 3*x - i = 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5481, 10953, 16421, 21885, 27345, 32801, 38253?\nAnswer: 43701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*q - 0*q - 990. Solve 3*n + 9 = 4*r - 1, 5*r + n = q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 512 + -318. Let u = 194.077 - r. Let y = 0.007 + u. Round y to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) -5 (c) -200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 4. Let r be z\/(0 - 2) - 0. What are the prime factors of (-24 + 2)*r\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -80*c**2 + 14*c - 11290. Let n(o) = 34*o**2 - 6*o + 5645. What is -3*j(p) - 7*n(p)?\nAnswer: 2*p**2 - 5645","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 51584\nAnswer: 20633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 62458.08 micrograms?\nAnswer: 62458080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5722*d**2 + 4*d - 2. Let n be k(1). Suppose 17*h = -h + n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 5*y - 22. Let g(p) = -4*p**2 - 9*p + 36. Give -3*g(b) - 5*i(b).\nAnswer: 7*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -392668213 rounded to the nearest one hundred thousand?\nAnswer: -392700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 10}. What is prob of sequence rvrv?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-87)\/(-8) + -6)*8. Suppose 3*m = 3*j + 1 - 25, -5*j + 4*m + f = 0. Solve 13 = -5*a - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 - 15039730*h - 11309673923645 = 0 for h.\nAnswer: -1503973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*k + 4*q + 6, 16 = 2*k - 5*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*34\/34\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 3*u**2 - 5*u - 2. Let b = -2 + 22. Let q(r) = r**2 - 5*r - 2. Let d be q(6). Suppose -3*v - 2*v = -4*w - 40, b = -d*w. Give x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/25)*a\/a**(-2\/9)*a**9*a*a**(-7)\/a*(a\/(a*a*a*a**(-2\/11)\/a*a))\/a*a*a*a*a\/(a*a**(-1\/7)\/a)*(a**(2\/5))**(-12) assuming a is positive.\nAnswer: a**(-2999\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*r = -3*r - 14, 5*r = 3*f + 10. Let q be 1\/f*77 + (-19)\/(-38). Is -6 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - (4 - 1)) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 203*t**2 + 0 + 0*t**4 + 1\/1512*t**8 + 0*t**3 + 1\/45*t**6 - 13\/945*t**7 + 0*t**5 + 0*t. Factor k(h).\nAnswer: 2*h**3*(h - 12)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 341*o + 27629. Determine y(-81).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639 divided by -1.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-5)\/(-2) + -2). Suppose v*c - c = 4*x + 4, 0 = -3*c + 2*x + 16. Let b be -2 - (-1 - -1 - 2). Solve 0 = -4*n + u - 12, u - c = -b*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525665 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 - a + a**2 + 10 - 2 + 13*a. Calculate d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.8491033 rounded to one dp?\nAnswer: -112.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -3, 5 in decreasing order.\nAnswer: 40, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*m*n**3 - 3*m + 36755*n**3 - 169493 wrt n?\nAnswer: -51*m*n**2 + 110265*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/((-3)\/(-30)). Let j = -0.3 + 0.2. What is the smallest value in m, j, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s. Let q(k) = -173*k**2. Calculate t(q(y)).\nAnswer: 1038*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k. What is f(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 137, 205, 273?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -14. Let k(b) = -6*b + x + 12 - 28. What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 25*o + 85. Let d = 15864 - 15860. Calculate h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3227 (base 9) to base 3\nAnswer: 10020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948239572.\nAnswer: 2, 9901, 49193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/18 - (-1140)\/450.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45691*s**3 - 71989*s**2 wrt s.\nAnswer: 274146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5221.221 and 1.2.\nAnswer: 6265.4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 407652887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/217 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -66 (b) 5 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:00 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16027 - 72?\nAnswer: -16099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 946664597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10874*g**2 - 2386*g wrt g?\nAnswer: 21748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-21))\/(64\/80)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-36)*(-3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a + 2. Let n(y) = -y + 1708. What is m(n(k))?\nAnswer: -12*k + 20498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**4 - t - 45682*t**3 - t**2 + 45718*t**3 - t**4 in the form p + g*t**2 + b*t**3 + w*t + f*t**4 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*t + 2105 - 813 = 0, -5*c - 2*t = -1297. Suppose -4*w = -2*p - 2*w + 538, -p + 3*w + c = 0. What are the prime factors of p\/5 + 7\/35?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*v, -3*v + 2*v + 18 = 5*c. Differentiate 6*a**c + 0*a**3 + 1 + 0*a**3 - 3*a**3 with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30132833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 2541000 = 62*k. What is k rounded to the nearest 10000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03831 in 22\/5, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - n - 16 = 21, -4*n = -4*k + 44. Let u = 0 - -2. Suppose 3*f - 4*m - 318 = -m, -3*f + 316 = -u*m. What is the highest common divisor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11001?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -470, -455, -424, -371, -290?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8 - (-1)\/(-6). Which is the nearest to h? (a) -2\/15 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 193.\nAnswer: 165\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22336411 is divided by 2115.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b + 1602*b + 1731*b.\nAnswer: 3365*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 43*l**2 - 37*l - 93. Determine n(42).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 760 - 536. Let j = m - 213. Solve -j*o = -13*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55424 - -152030?\nAnswer: 251454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.892 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13139 - -13292. What is the smallest value in -0.3, j, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/8*2\/3. Let o be 12\/6 + (2 - 6). Which is the nearest to -2? (a) o (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 + 41 = 646*m - 593*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 14*t**3 - 7*t**3 - 2*t**3.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2 + 4*z + 1. List the prime factors of p(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 8, 94*u - 95*u - m + 3 = 0. Let g(i) = -6*i - 12. Let t(x) = 9*x + 18. Let w(f) = -7*g(f) - 5*t(f). Calculate w(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 12*n + 13. Let o be q(-16). Let k = -75 + o. Solve -k*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*s = o - 778, 0 = 740*o - 737*o - 2*s - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = -7, -4*b - 5*o - 588 = 0. What is the tens digit of b\/(-7) + (-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, -4 in descending order.\nAnswer: 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492 - -497. Solve -2*q - 15 = -y*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**4\/12 - 5*g**3\/3 + 3*g**2. Let p be n(-12). Let s = -8 + p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/156*30*3)\/((-245)\/(-294))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 + 3 = 0, -5*y + 162 = -3*r. Differentiate 69*b**2 + 42 - 60*b**2 + y - 5*b**3 with respect to b.\nAnswer: -15*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z + 1091 + 1117. Let c = 61 - 13. Let w = z - c. Calculate the remainder when w is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j - 9 = -71*j + i, 5*j - 5*i - 75 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 30*w**2 + 31*w + 35. Calculate q(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24798, 49570, 74280, 98928, 123514, 148038, 172500?\n\"Answer: -31*y**2 + 24865*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*j - 60*j - 78 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*n - 8564 - 198083 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.08+-15095.6\nAnswer: -15096.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 3*y + 1. What is n(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.61 or 0.0433?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + j - 36. Let w be i(0). Let p be 28\/w - 1\/(-1). Let q = 4.98 - -0.02. Put q, p, -5 in ascending order.\nAnswer: -5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16360*o + 8177*o + 8172*o + 605 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gejg. Give prob of sequence gge.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 11*n**2 - 17*n + 18. Let q be h(-9). Find the second derivative of 10*p**4 + 95257*p - 95304*p - 3*p**4 + q*p**2 wrt p.\nAnswer: 84*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.17, -5, -4\/7, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567341, 1134560, 1701779, 2268998?\nAnswer: 2836217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0427623 to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 37?\nAnswer: -8\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32480 and 280?\nAnswer: 32480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.0774.\nAnswer: 1.9226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - x - 3 + (4 + 1 - 4)*(4 + 3 - 5)*(-x - x + 4*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833261.\nAnswer: 11, 13, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -75*i. Let r(x) = -5*x**2. Determine p(r(u)).\nAnswer: 375*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*w + 2, 2*u + 3*u - 7 = w. Suppose -37\/3*r**2 + 11*r**3 + 5*r - 2\/3 - w*r**4 = 0. What is r?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = h - 17, 0 = 3*h - 4*m - 21. Let u be (-1)\/2 + h\/2. Solve 4*s + 45 = u*k, -2 = 2*k + s - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 10195*i - 3552390.\nAnswer: -5*(i - 1593)*(i - 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*g - 116, 0*y - 136 = -4*y - 2*g. Suppose 0 = 4*l - 0*l - y. Let b(v) = 8*v + 0 - l*v - 3. Calculate b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -291, -992, -2359, -4614, -7979?\n\"Answer: -37*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51783, 51896, 52009?\nAnswer: 52122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - o + 15, 4*k + 2*o + 15 = -15. Let g be (k\/4)\/((-24)\/32). Suppose 3*m = g*s - 15, m + 15 = 5*s - 2*m. Which is smaller: s or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*g - 57 = -3*b, -2*g = 6. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*h - 459*h = -560 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9068*f*w + 509*f + 17132633*w wrt f.\nAnswer: -9068*w + 509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*z**4 - 33458620*z**3 + 113758792*z**2 - 41488484*z + 4015014 = 0. Calculate z.\nAnswer: 1\/5, 3, 669169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -785, 3, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38269 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from gvngkkvvvnvnnvngcv.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 plus -3994525988.08?\nAnswer: -3994525991.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = -x - 2*s + 599, 32 = x + 3*s. Solve 5*f - 24 - x = -5*l, 5*f = -3*l + 29 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5231 + 5272. Solve -14*v - 43 - j = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(90\/(-60)*1\/6). Find the third derivative of 8*x**3 - k*x**4 - x**4 + 93*x**2 + 1 + 2*x**4 + 3*x**3 + 8*x**3 wrt x.\nAnswer: -72*x + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -0*z + 5*s, -3*z + 31 = -5*s. Calculate the remainder when 12*(-82)\/(-8) + -3 + -3 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 5. Let l be h(-6). Let p be ((-7)\/l)\/(-1 - -2). Let z(x) = 1 - x - p. Let b(f) = -2*f**2. Give z(b(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 b when four letters picked without replacement from mbnoobmrkboknombmbb?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725622 is divided by 11337?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 10, a: 1, n: 5}. Give prob of picking 3 r.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h**(-3)*h)\/h*h)\/h)**(-4\/13))**(-14) assuming h is positive.\nAnswer: h**(-112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgyegygwegyyggyyy. Give prob of picking 1 y and 1 w.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.19. Let v = -522 - -1571\/3. Which is the biggest value? (a) v (b) h (c) -17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) + (-282)\/(-54). Let t(f) = -f**2 + 4. Let p be t(j). Is p\/(-35) + (-2684)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b**3 - 2*b**2 - 2*b - 1. Let q be h(-1). Let r be (-1 - 2)\/3 + 29. Let j = q + r. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*t + 12 + 11 = 0, f + 10 = 4*t. Suppose f*a + 2 = 10. Let h(b) = 2*b**2 - 7*b + 5. Calculate the remainder when 17 is divided by h(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -131, -264, -397, -530, -663?\n\"Answer: -133*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 396. Calculate the remainder when l is divided by 9\/(504\/266)*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 525943*r**3*x**2 - 3*r**3*x - 1070*r**2*x + 91*r wrt x.\nAnswer: 1051886*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116598, -116526, -116440, -116334, -116202?\nAnswer: -116038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 12.4.\nAnswer: 86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*v - 17 = 0, 4*n - v = v + 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 16. Let l = f - 8. List the prime factors of 5*l\/((-75)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 577.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0 - -12) + (1 - -2) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/45 + 214\/(-490). Let r = s + -1313\/539. Find the common denominator of -20\/11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120672806 a multiple of 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2206 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose c = 4*f - 2*f - 8. Suppose 7*d - 90 = 2*d - f*n, n - 105 = -5*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 4 - 5 - 2 + 2*z. Let d be i(10). What is the units digit of 10 + d\/(3\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 80 = 3*j + 2*w, -29 = -j - 3*w. Let z = -7 + j. Solve 4*g + z = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.945 - 1.945. Let m = -0.2 - 0.8. Which is the nearest to -1? (a) m (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/1050)\/(70\/147*1)\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 990*u + 136131. Calculate b(165).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/7 - 2*b\/7 - 4\/7 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 6*y**2 + 3*y - 8. Let j(l) = 15*l**2 + 2*l + 1. Let u be j(-1). Let f(k) = 2*k. Let o be f(4). Let g = u - o. Determine v(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {b: 1, i: 2, t: 10, r: 5, j: 1, o: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129324?\nAnswer: 2, 3, 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -2 (c) 0.4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k, -4*w + 0*k - k + 57078 = -158954. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -2. Let s = 14 - a. What is the remainder when 40 is divided by (1 - 0) + -1 - s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801904 divided by -2?\nAnswer: -1400952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, l: 1, d: 2, c: 1, m: 1}. Give prob of sequence dd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14625 and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399 or -398?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:41 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12768 and 961?\nAnswer: 12270048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 4)*(1 - 4 + 4 + (1 - 6 - 2)*(6 - 9 + 6))*(-3*c + c - c - c + 4*c - 2*c + (-c + 0*c + 3*c)*(2 + 0 + 0)) in the form j*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1573\nAnswer: -1\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - b + 5. Let x be l(0). What is the third biggest value in 0.2, x, 8\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465019993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 79 - 20*w)*(2 - 2 - 2*w)*(0 - 1 + 3)*(-2 - 1 + 1).\nAnswer: -160*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63342869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a factor of 1477770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/((a*a**(-1)*a)\/a))))\/a**(-5)*a**(3\/7)*a**(-1))\/((a**0)**8\/(a*a*a**(-2\/7)\/a)**(5\/7)) assuming a is positive.\nAnswer: a**(291\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -73?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15559361 is divided by 273.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.6 * 6889.\nAnswer: -210803.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 457094, 1828422, 4113968, 7313732, 11427714, 16455914, 22398332?\n\"Answer: 457109*d**2 + d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 109\/60 + (432\/(-80))\/(-9). Is q at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -36*2\/(-4)*(-10)\/(-15) - 6. Solve -10*w = -g*q + q + 45, 2*q = 2*w + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49220 - -11320111?\nAnswer: 11369331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 0. Let a(k) = -k**2 + 15*k + 16. Let z be a(17). Let i = p + z. Sort 4, i, -20 in decreasing order.\nAnswer: 4, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 + 12*h - 16. Let f be p(4). What is the highest common factor of f and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9837 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -146\/5 at least -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15348 + -15252. Solve -6 = 30*h - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-91)\/13)\/((-224)\/(-5312)))\/2\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373581 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 21190\/1141 + 18\/(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1085 + -1942. What are the prime factors of (-8)\/16*0 - o?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 15501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9) - (-520)\/(-663)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1.16, 1\/6.\nAnswer: -9, -1.16, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055447115 minus 499.741?\nAnswer: -1055447614.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 151834 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*((-42750)\/69825)\/(9\/7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 + 6 = 0. Sort 1, f, -7 in increasing order.\nAnswer: -7, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 48*w - 20. Give u(48).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 235690 (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 204*r**2 + 28*r - 80. What are the prime factors of z(6)?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-385))\/((-18)\/(-2709)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(204)\/((2*sqrt(120))\/sqrt(10)))*1)**2*-1 + 3.\nAnswer: -105\/4 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5*z = -8. Let o(m) = m**3 - 2*m**2 + 2*m - 2. Give o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*l**2 - 59*l + 11*l + 500*l**2 + 48*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*a - 4*f + 25, 3*a = -2*f + 12. Let u(k) = 32*k**2 + 23*k - 13. What is the units digit of u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 742?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Let w(k) = -5*k + p + 6*k - 4 + k**2. Let u(g) = -g**2 + 1. Calculate -u(z) + w(z).\nAnswer: 2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8*q + 48 = 0. Let x be (q\/10)\/(7\/35). Suppose 5*k = k + x. Put -2, k, 5 in increasing order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0, 1, 0.1, -31\/3, 4, -7 in decreasing order.\nAnswer: 4, 1, 0.1, 0, -1\/8, -7, -31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*y + 2*y - 6*y)*(0 + 0 + 1) + (-5 - 5 + 1)*(0*y + y - 2*y) - y - 3*y + 6*y)*(-12*y + y - 2*y) as i*y**2 + v*y + x and give i.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 8*y - 13*y. Suppose -5*a + 127 = 82. Calculate the least common multiple of a and y.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a factor of 30577598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 196*j**3 - 38*j**3 + j.\nAnswer: 158*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.58 - 0.285. Let p = 3.525 - f. Let q = -0.01 - p. What is q rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682, 677, 692, 733, 806?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -66. What is the highest common factor of 105 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1295, 593, 5639, 15421, 31517, 55505, 88963, 133469?\n\"Answer: 263*r**3 + r**2 + 44*r - 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*b**2 + 10*b - 444 + 446 + 3*b**2 to the form g*b**2 + a*b + s and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let o(z) = 35*z**2 - 65. Determine g(o(v)).\nAnswer: 1225*v**4 - 4550*v**2 + 4225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99c + 322?\nAnswer: -67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10))**(32\/5)\/(n**1\/n**2))**(-26) assuming n is positive.\nAnswer: n**1638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, -34.4, -9.\nAnswer: -34.4, -9, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((90\/(-60))\/(-3))\/(2\/(-4)). Put -4, 2, 3, 12, z in decreasing order.\nAnswer: 12, 3, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -130*a**2 + 20*a + 101. Let o(v) = -66*v**2 + 8*v + 49. Calculate 2*l(p) - 5*o(p).\nAnswer: 70*p**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 137457?\nAnswer: -137456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 263120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154931.\nAnswer: 7, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 35993.7.\nAnswer: 35993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/3 - 3) + 1. Suppose -2*u = -c*h, u + 3*h - 2 = 9. Suppose -656 = -u*v + 809. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -11 + 5, 4*u = -4*r + 4. Let b be u\/8 + 9\/4. Suppose -5*j = -b - 3. Is 1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.0602 centuries in months?\nAnswer: 865272.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -2101*r + 2106*r - 3*n, -3*r + 6*n - 93 = 3*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = -0*z. Suppose 3*t - 5*b - 9 - 35 = 0, -28 = -t + 5*b. Suppose 4*c = t - 0. Calculate the remainder when c is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**3 - 2455. Let y(x) = -4*x. Let p(k) = -3*k. Let f(q) = -5*p(q) + 3*y(q). Calculate w(f(t)).\nAnswer: -135*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*l = -l - 26944, 0 = -5*l + l. What are the prime factors of z?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -5 (c) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 34. Let p be g(-13). Suppose -2000004 = p*c + 2*h, 5*c + h + 2000002 = -0*c. Round c to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.1, -4\/7, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6330122\/5 or 1266024?\nAnswer: 1266024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**5 + 5*d**4\/2 + 20*d**3\/3 - 20*d**2 - 14. Factor h(a).\nAnswer: -5*a*(a - 2)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**4*p*s**2 + 21*o**4*s**2 - 2*o**2*s + 6*o*p + 2*o*s**2 wrt o.\nAnswer: 120*o*p*s**2 + 504*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/7 + 1152*r**3\/7 + 2316*r**2\/7.\nAnswer: -3*r**2*(r - 386)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**3 + 10 - 59*n + 27*n**3 - 12*n**3 - 2*n**2 - 7 - 6*n**3 in the form l*n**3 + g*n**2 + z + v*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 407848?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t - 4. Suppose 0 = -r - 4*f + 117, 4*r - 3*f - 2*f - 384 = 0. What is the remainder when r is divided by l(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 1\/5, 32.7 in increasing order.\nAnswer: -4\/5, 1\/5, 32.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -450*j**3*k**3 - 3*j**3*k - 2*j**2*k**3 - 2*j**2 + 27*k**2 wrt j.\nAnswer: -2700*k**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69421*o + 33901 wrt o?\nAnswer: 69421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328\/(-10)*101\/(23836\/(-295)) - -8?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -945*q**4 - 3*q**2 - 42*q wrt q.\nAnswer: -22680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9213 - 9213.1. Is -9100 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 53*m - 8. Calculate n(-3).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2 = -2*p, 10 = 2*h + 4*p - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 17*f - 15*f + 4*k, -9*f + 3*k - 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-3\/38)\/(i*i**(1\/2))**(2\/29) assuming i is positive.\nAnswer: i**(-28\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -25, 2, 2\/1379, 17?\nAnswer: 2\/1379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38872 (base 11) to base 2\nAnswer: 1101100101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*b*r**2 - 110216*b*r + 6*b - 6444*r**2 + 1602*r wrt b.\nAnswer: 6*r**2 - 110216*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 13168*i**2 + 417820*i - 1760400.\nAnswer: 4*(i - 3260)*(i - 27)*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r = 45*r - 4*x + 16, 326 = -0*r - r + 32*x for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1402998*a**3 + 2*a**2 - 4*a. Suppose -2*l = 8, -20 = 4*z + 4*l - 8. Let i be h(z). What is i rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50.21051 litres?\nAnswer: 50210.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w**2 - 4*w**2 + 2*w**2. Let q(h) = 14*h**2 + 3*h + 3. Let r(o) = -168*o**2 - 35*o - 35. Let j(s) = -35*q(s) - 3*r(s). Give j(l(f)).\nAnswer: 56*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*n**2 - 122\/3*n + 40.\nAnswer: 2*(n - 60)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1705223 (base 9) to base 6\nAnswer: -32155420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98786357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 218 - 219. Let o(c) = 4*c + 2. Give o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 5, 3\/14, 27, 4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*k**3 - 13498*k + 13498*k)*(-4 + 4 - 2).\nAnswer: -88*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 2*x**2 - 7*x - 10. Let t be p(-2). Suppose 19960 + 8208 = t*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(13))**2 - (sqrt(13) + 1*sqrt(13) + -3)**2.\nAnswer: -47 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 18*a = 148. 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: Rearrange ((4*j - j - j)*(-1 + 1 - 2) + 0*j - j + 0*j)*(-63*j - 682 + 682) to r*j + h + y*j**2 and give y.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.383 and 0.6325.\nAnswer: 3.0155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3\/5 + 15654*w**2\/5 + 439488*w\/5 + 615832 = 0?\nAnswer: -14, 7855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100\/839 - 78539\/52018. Calculate the common denominator of -19\/18 and w.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + (3 - 3) + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93541627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 54. Put 2\/9, c, -2\/9 in ascending order.\nAnswer: c, -2\/9, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362048?\nAnswer: 2, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 + 11*r - 12. Let q be t(-10). Let w be (q\/9)\/((-4)\/6). Let f = -74 + w. What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(55)\/(-2*sqrt(1584) - sqrt(1584)) + -5 + ((sqrt(180)\/sqrt(9))\/sqrt(4))**2).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 636516 and 183139798.\nAnswer: 3296516364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**5\/5 - 76*n**4\/5 + 372*n**3\/5 - 324*n**2\/5 - 1512*n\/5 + 2592\/5 = 0?\nAnswer: -2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/2 - 8720*s**3 = 0.\nAnswer: -17440, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2 + 8192*x - 7190456 = 0.\nAnswer: 1274, 2822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 = 5*l, -709*l + 17 = a - 711*l. Suppose 3*n - 3*z = 639, 0*z = 3*n - z - 631. What is the highest common divisor of n and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 3. Suppose -2*p = 3*p - 105. Let s = b + p. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -856915 + -0.0023166839.\nAnswer: -856915.0023166839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)\/((n*n**(7\/4))\/n) assuming n is positive.\nAnswer: n**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65446.5 years in millennia?\nAnswer: 65.4465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.3? (a) 1\/3 (b) 4 (c) 0.5 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130414022 (base 5) in base 9?\nAnswer: 4780205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 less than -0.0446640563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625 + 15340 = 277*g + 158*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 + h + 2. Suppose 4*a = -4*o + 8, -19 = -5*a + o + 3*o. Suppose -a*t + 75 = -0*t. Let s = 27 - t. Calculate v(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-10) + (-12)\/(-30). Let v = 61 + 9. Suppose 0 = -p + f*r + 14, v = 7*p - 2*p - r. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 28*s**2 - 20*s + 164. What is w(-27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.41295 months in decades?\nAnswer: 0.15344125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67295*k**2 + 24431*k - 1?\nAnswer: 134590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.05 + -6. Let c = r + -4.35. Let g = -2.3 - c. What is the second smallest value in g, 3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/8217 and -133\/15444?\nAnswer: 1281852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417 a factor of 2838730097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n + 61. Calculate w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 3305470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 + 263714*b - 9495000 = 0.\nAnswer: -263750, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10139004)\/(-8568))\/(1\/14).\nAnswer: 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 943\/2 - 1349\/3. Find the common denominator of 88\/15 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 6, n: 1, i: 1, j: 1, s: 3}. Give prob of sequence jss.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q + 2. Let h = -9 - -3. Let l be d(h). Suppose 2*p = 6*p - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 7\/5, -5, 0.4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-1*4*(-5)\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 54241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 747345 smaller than 17188906\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1260764 + -553919. Suppose -3*w + p + 553155 = 0. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.188, -4, 4, -5?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*t - 150*f*t - 165*t - 1 with respect to f.\nAnswer: 2*f*t - 150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = h - 3*u, -59*h + 35*h - 4*u = 956 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**3 - o**2 + o - 2. Let d be v(1). Let m be (1 - (-5 + 5))*d. Differentiate -5*g**m + g**4 - 8 - 5 with respect to g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71577, 143409, 215497, 287835, 360417, 433237?\nAnswer: 506289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -10.4723?\nAnswer: 10.8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(7) - (sqrt(847) + 1)) + sqrt(7) + -3).\nAnswer: -36*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 19*q**4 + (2*q**2 - 3*q**2 + 3*q**2)*(0*q**2 + q**2 + 0*q**2) + q**4 + 0*q**4 - 4*q**4 as v*q + m*q**3 + u + g*q**4 + c*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611388, 611389, 611390?\nAnswer: 611391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 o when three letters picked without replacement from {n: 2, o: 5, x: 2, i: 4, r: 1, u: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 681 (b) -1\/10 (c) -4\/5 (d) 2 (e) 4 (f) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -494692, -989461, -1484230, -1978999, -2473768?\n\"Answer: -494769*a + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52425, 52431, 52441, 52455?\n\"Answer: 2*o**2 + 52423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 26b9c8?\nAnswer: 26b9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12)*3\/(-4). Let y(m) be the third derivative of 0 - w*m**3 - 2*m**2 + 7\/16*m**4 - 1\/8*m**5 + 0*m. Factor y(r).\nAnswer: -3*(r - 1)*(5*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57582563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l + 140 - 160. Suppose -2*z + 5*p = p - 14, -3*p + 22 = 5*z. Suppose -l*b = 2*r - 102, z*b - 252 + 6 = 4*r. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h + 1\/3*h**3 + 4*h**2 - 22. Calculate x(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -263865419 and -3318?\nAnswer: 263862101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i**2 + i - 8. Calculate the remainder when 91 is divided by d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*x + 32. Suppose 5*h - 33 = -8. Suppose 59 = x*n - h*a, -3*n + 0*a + 4*a = -45. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 214453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 + 43*x - 90. Let w be n(2). Let o(q) = 2*q**2 + 14*q + 20. Determine o(w).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3008*c + 171449. Determine u(-57).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 586269909, 586269910, 586269911, 586269912, 586269913, 586269914?\n\"Answer: i + 586269908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/9 - 169\/90. Let u be (-140)\/245*(-7)\/(-22). Which is the nearest to -46? (a) u (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptlqqpqqpqjtz. What is prob of picking 2 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 6, g: 4, o: 3, c: 1}. Give prob of picking 1 o and 1 s.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007167 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7295 + -7293. Let u = 214\/585 + 4\/117. Which is the nearest to h? (a) 1 (b) u (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**3 - 1 - 5*i + 3*i**2 - 2 + 0. Let g(z) = 17*z**3 + 8*z**2 - 14*z - 8. Let l(b) = -3*g(b) + 8*w(b). What is the second derivative of l(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 - 3*h**2)*(-3*h - 7*h + 2*h + (1 + 1 - 3)*(-2*h - 2*h + 5*h)).\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3155 - 25281\/8. Let t = u + 303\/56. What is the second smallest value in t, -0.7, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*b**2\/3 + 93419*b\/3 + 1338 = 0. What is b?\nAnswer: -18\/419, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.055 - -0.015. Which is the second biggest value? (a) -2 (b) -4 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -1\/10, -0.02, -1.8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 1278332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1551558 and 167736.\nAnswer: 6206232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 0.05, -0.016, 1\/6, 28?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-99)\/22*(-2 - (-2)\/3). Let m be -1 - (40*q)\/(-8). Let r = -71 - -99. Is m > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19462 (b) 2 (c) 5 (d) 29 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 504*r**2. Let z be l(1). Suppose z = k - 4*k. Calculate the smallest common multiple of k\/(-49) - (-3)\/(-7) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569868 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03612 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 56*s + 642 = 53*s, -6*a = s - 4118. Let t be -1 - 1*(-38 + 1). Calculate the highest common divisor of t and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.054 and -318.\nAnswer: 17.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0 + 0*r**3 - 1\/2*r**4 - 1\/2*r**2 + 6*r. Differentiate c(n) with respect to n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 133?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -z - 4 + 756, 3*r - 557 = z. Suppose 3*b - 2*b = 17. What is the highest common divisor of r and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7419*a**2*w**4 - 13518453*a**2 + 903*a*w**3 with respect to w.\nAnswer: 29676*a**2*w**3 + 2709*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-85)*((-15)\/(-18))\/(1*-3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30697996?\nAnswer: 2, 7, 19, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z. Let x(t) = -19*t**2. Give y(x(r)).\nAnswer: 247*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 2 y when four letters picked without replacement from ybvbvbvvbvy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 55 = -5*y, -3*y + 7 = 4*j - 30. Suppose -77 = -2*r - 5*o, 2*r - 3*o - 60 = -y. Suppose -r*f + 410 = -29*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2, 6*y + 1 = 2*y - 3*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7250 and 27550.\nAnswer: 137750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 smaller than 557\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 95. Suppose -z + 11 + w = 5*q, -2*z = -q - 27. Calculate the highest common factor of 60 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -19000\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) -2 (c) 2 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*b**2 - 70*b**2 + 171*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j + 42. Let t be r(-6). Suppose 3*m - 4*m - 3 = t. Let q be (48\/(-15) - -4)*m\/(-18). Sort 0.5, 3, q.\nAnswer: q, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y + 1. Let l be o(1). Let v(z) = 4999999*z**2 + 2*z - 1. Let p be v(l). Suppose 3*t = -2*t + p. Round t to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.35 + -7.867. Round a to one dp.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c + 9. Let a be i(0). What is the common denominator of (-157)\/39 + a\/12*4 and -127\/132?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8)\/(45\/(-540)*-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -3\/10*q**5 + 2\/7*q**7 + 0*q**3 + 7\/10*q**6 - 23*q + 0*q**2 + 0 + 0*q**4. Factor h(o).\nAnswer: 3*o**3*(o + 2)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 757, 1109, 1443, 1753, 2033, 2277?\nAnswer: 2479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(2 + sqrt(704)) + 1 + ((-6*(sqrt(704) + 3 - sqrt(704)) + sqrt(704) + -1)*2)**2.\nAnswer: -1144*sqrt(11) + 4279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 7*w - 2. Let x(j) = 4*j**2 + 8*j - 3. Let u(d) = 4*x(d) - 5*y(d). Let b be u(-2). Suppose -b*m + 3*m + 35 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from ppajjpajxygp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f + 47 + 5\/2*f**2. What is o(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/11 (c) -1 (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19108 is divided by 9549.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5838, -11681, -17526, -23373, -29222?\nAnswer: -35073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 15\/(-6))*(-20)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 (base 6) in base 9?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/675*-6*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 14*c - c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 202*j**2 - 72*j - 1193. What is v(-67)?\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -263, 236, 9, 2 in descending order.\nAnswer: 236, 9, 2, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*u + 3*u - 2, -3*j + 4*u + 3 = 0. Suppose -3*g + 90 = -3*z, z + 3 = j. Suppose 4*x - g = -4. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*f = 95, 4*f - 2 = -6. Suppose 4*w + k - 34 = 0. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + j)*(0 + 5 - 4) + (5912 - 3227 - 544)*(j - 4*j + 4*j) to f*j + m and give f.\nAnswer: 2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24070979\/165193 + -1\/165193. Let t = x + 146. Factor -8\/7*f + t*f**4 - 8\/7*f**3 + 2\/7 + 12\/7*f**2.\nAnswer: 2*(f - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20924*n - 544040. Calculate s(-26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 3*y**2 + y. Suppose 3*t + 4*v = -15 - 11, v = 4*t + 3. Let x be w(t). What is the third derivative of 3*f**3 - f**2 + x*f**3 - 8*f**3 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3958357\/65 + (-480)\/(-150)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*q - 203. Let x be 10\/(-12)*(-6 - 0). Suppose 2*k + 45 = x*f, -k = -3*f + 4*k + q. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16*i - 11. Let f(v) = 9*v + 6. Let m(b) = 7*f(b) + 4*p(b). Determine m(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0487903604 to four decimal places.\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -71896, 7, -4 in ascending order.\nAnswer: -71896, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 136.8. Is p <= -1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2627.22, -2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111010011001001010 (base 2) to base 8.\nAnswer: -10723112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i + 144. Calculate the remainder when f(-21) is divided by 4 + (-1)\/(1\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - a**3 + a**2 + (11*a + 9*a + 44*a)*(7*a + 8 - 8)*(2 + 0 + a + a) as y + b*a**3 + w*a + q*a**2 and give b.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6666664*r - 8. Let z be i(3). What is z rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282 times -0.3\nAnswer: 84.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 + -136. Suppose -4*p = 5*f - 48, -4 + 8 = g*p. Which is the second biggest value? (a) f (b) 5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 35 = 10*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10595*i - 10454*i + 21040*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 22 - (4 + -2 - 17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:33 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = d, 0 = 3*d - 20*w + 16*w - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*a**2 + 63*a**2 - 189*a**2 + 69*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(1 - 14\/(-4)). Suppose 0 = -28*q + c*q + 3. Factor 8*r**q - 4*r**5 - 4*r**4 + 1571 - 1571.\nAnswer: -4*r**3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 - 3*c + 6. Let d be z(-6). Let q = 17 + d. Let r be 23\/q + (-10)\/(-25). Solve y + 17 = r*f, -5*y - f - 6 - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g**3 + 3*g**2 + g - 10. Give k(2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 less than -0.3?\nAnswer: 452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -37, -60, -83, -106, -129?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(183\/(-122)) + 14. Solve p = 72*v - 67*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 48913*w**3 - 9 + 12*w - 4*w - 9*w**2 - 97830*w**3 + 6*w + 48918*w**3. Give m(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/145 and -13\/2900?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 2 - sqrt(396))*2 + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 789?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-12))\/((-111)\/18))\/(-43*90\/7740)\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1774\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-4)))\/(s\/(s**(3\/11)*s*s))*s*s**13*s*s*s**22\/s)**(-2\/57) assuming s is positive.\nAnswer: s**(-754\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 28. Suppose h - m = -5*y - h, -2*y + 2*h = 2. Solve -y*f - 16 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54543940?\nAnswer: 2, 5, 11, 41, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 - -17 - (0 + 1). Suppose 0*o + x*o = 4*k + 32, -k - 2 = o. Suppose d = -2*d. Put d, o, 2 in decreasing order.\nAnswer: o, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 19*s + 176. What is the highest common divisor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 2*z - 2. Let p be q(2). Suppose -36*j - p = -39*j. Let y(l) = -l**2 + 8*l + 53. Let i be y(12). Solve -i*m + 15 = -j*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 18. Let s be j(-10). Let t be (-4)\/(-6)*-10*3\/s. Let o be ((-2)\/(-8))\/(2\/4). Sort t, -0.4, o in increasing order.\nAnswer: t, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 16*y - 46. Let r be j(-12). Let d(q) = 1 + 3*q**r + 10 - 4*q + 5 - 2*q. Is d(5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duo when three letters picked without replacement from hdoug?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 316*g - 6. Let b(o) = 317*o - 8. Give -3*b(f) + 4*t(f).\nAnswer: 313*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 - 86879\/240. Let y(t) be the second derivative of 0 + j*t**6 + 10*t - 1\/8*t**2 + 5\/48*t**3 - 1\/32*t**4 - 1\/160*t**5. Let y(m) = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiic when four letters picked without replacement from ijjgiigcwgwjggg.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 - 135 = i. Suppose -4*t = 4*t - i. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94338169.\nAnswer: 94338169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 118159158*f**3 + 1551287323368216*f**2 + 6788842866912367333920*f - 13577691938974973414016.\nAnswer: 3*(f - 2)*(f + 13128796)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -10*y + 2*y. Suppose i + 2*k = -k + 11, 0 = -i - 5*k + y. Let t be (-8)\/i - 1\/((-10)\/604). Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 27*n - 16. Let t be c(13). What is the thousands digit of ((-192)\/18)\/(t*4\/1224)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -68 (c) -1\/6 (d) -0.3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5798104835 to the power of 1\/2, to the nearest integer?\nAnswer: 76145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 7*w + 3. Let j(o) = o**2 + o - 1. Let l(t) = h(t) + 3*j(t). Let r be l(-3). Solve 2*m + 4 = -r*b, 2*b = 5*m + 5*b + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 679*w + 26229. Determine q(46).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 34*z**2 + 32*z - 207. What is the smallest common multiple of 365 and p(5)?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 - 7*c**2 - 13*c - 17. Calculate w(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1287 and 429.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*j = 25, 4*w + 5*j - 6*j = 16. Suppose -2*h = -w - 1. Suppose 47 = g - 3*p - 39, -h*g - p = -228. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1)\/((-472)\/(-12) + -1050 + 1007)?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = 36. Let m = s - 10. Sort 3, m, -4 in ascending order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 247701*d + 3032615?\nAnswer: 247701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 53*b + 17*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - b - 117 + 7*b + 114 - b + b**2. Determine q(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(3146))\/(sqrt(18)\/(sqrt(9) + sqrt(9) + 6*sqrt(9)*1 + sqrt(9))) + -5.\nAnswer: -5 + 297*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*l - 170*l - 164*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0491135 to 4 decimal places.\nAnswer: 0.0491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 996*b**2 - 56160*b + 743600.\nAnswer: -4*(b - 11)*(b + 130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70, -81, -98, -121, -150?\n\"Answer: -3*n**2 - 2*n - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 171 - -4?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26345 and 9580?\nAnswer: 105380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 435c (base 13) to base 9\nAnswer: 13763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16.41, 1\/3, 6.1, -2\/11?\nAnswer: -16.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57847 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2.3, 0.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 10. Suppose -1 = -v*q + 4. Let j be 1*q\/(-2)*-6. Solve -i = 2*i - j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20416 and 7717248.\nAnswer: 7717248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4005 is divided by 95.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 23 - 2. Let o(b) = 5*b**2 + 4*b - 3. Let l(r) = -6*r**2 - 5*r + 4. Calculate i*l(w) + 4*o(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 50 = 5*p - 2*n, -3*p = -5*n + 7. Let z = p + -2. Put z, -4, -2 in descending order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -94, -111, -126, -139?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402156*c = -402157*c + 2*j - 14, -3*c + 5*j = 34 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36\/11*o**2 + 0*o + 0 - 2\/11*o**3 = 0 for o.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125861?\nAnswer: 43, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191756145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*h**2 - 1464882*h - 93838430 wrt h?\nAnswer: 8*h - 1464882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.0586813 - 100.\nAnswer: -80.9413187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.76 - -7.7852. Let o = -0.02515 + v. What is o rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742519 is divided by 148360.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(55\/(-2)))\/(1\/(-210)). Find the common denominator of (2\/(-44))\/(15\/(-25)) and 0 + (2 - t\/8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1678 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -1\/14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 330, 804, 1472, 2334, 3390, 4640?\n\"Answer: 97*j**2 - 11*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -318d + -3c2?\nAnswer: -354f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*y + 5*y, 4*y = 5*l - 2. Suppose 5*n + 3*m = -m + 315, 0 = n + y*m - 63. Calculate the remainder when n is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 251604 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-9800)\/15925*(-130)\/24\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8094*j - 8103. Give k(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51126716 plus -610.69?\nAnswer: -611.20126716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.22841 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 351045 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 715 and 2691513.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2678 + -7)*2\/5. Let r = 2486 + i. What are the prime factors of r?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -46. Let f = t - 33. Solve f*x + u = 5, 4*x - 5*x = 3*u - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/6)*k)\/k)\/k**16 assuming k is positive.\nAnswer: k**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n + 26 = -3*a, -3*n = -3*a + 6. Let w = 13 - a. Does 9 divide 155 - (-4 - w\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2545 + -2544. Let b(k) = 2*k + 9. Let z be b(-7). What is the closest to f in 0.8, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110 + -101?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.054 and -604481?\nAnswer: 604480.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69 + -3d3?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a = -3*h - 88*a + 1, 5*h + 3*a = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c**2 - c + 2. Let z be m(0). Let y be -1*((1 - (z + -3)) + -5). Suppose 2*j = 4*r + 98, 0*j + j - 49 = y*r. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 10*f + 26. Is 42 a factor of k(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4244178 divided by 1414726.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 2, d: 2, x: 1}. Give prob of sequence dx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 41*w + 43. Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b + 5. Calculate s(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.504797996 rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 7*b + 264000. What is b rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4955 - 4955. Sort 2\/73, -2\/7, o, 18 in ascending order.\nAnswer: -2\/7, o, 2\/73, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 1 (b) 87 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165133 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*q - 223*q + 19 = 5*l, 4*q + 22 = 2*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -89\/2. Which is the nearest to 1? (a) -1\/4 (b) -7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1841123, 3682189, 5523137, 7363907, 9204439, 11044673?\nAnswer: 12884549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {a: 2, b: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/11 (b) 8 (c) 1\/7 (d) 456 (e) 0 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w = -25*w - 27. Let l = w + 47. Let u be 38\/2 - (0 - 0). What is the highest common divisor of u and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)\/v**1 assuming v is positive.\nAnswer: v**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4\/7 + 496*a**3\/7 - 15376*a**2\/7 = 0?\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -3412?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c + 52549 - 52549 - 2*c**2.\nAnswer: -2*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g**(-9\/2))\/(g**1)**(-1\/11))**31 assuming g is positive.\nAnswer: g**(-2325\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f + 3*x, 2*f + 2*x - 13 = -1. Suppose 7*g + 16 = f*g. Let v = g - -8. Calculate the highest common factor of 10 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16238319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 - 5*w**2 + 6.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2453667.\nAnswer: 5\/2453667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168.985 - -170. Round o to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -849*t + 716. Calculate o(2).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-6717)\/(-6))\/(2\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {y: 1, f: 2, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 171355170 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534179034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46\/11 - -499\/22. Let o = x + -19. Let s(q) = -q**2 + 25*q - 48. Let l be s(23). Sort -0.4, 3, l, o in descending order.\nAnswer: 3, -0.4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 1\/22*f**4 - 2\/11*f - 2\/11*f**3 + 3\/11*f**2 + 3. Find h, given that o(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 15. Determine a(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6227*d**2 - 27*d - 30. Let n be w(10). What is n rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 + 45 - 18 - 4*t**2 - 8*t - 9 - 8. Suppose 24 = 2*v + 2*s, s + 22 = 2*v + 2*s. Does 5 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 645c (base 13) to base 3\nAnswer: 201010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 28. Let u = 8 + -13. Let d = u + 7. What is the least common multiple of d and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/55)\/(0 - 6\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4151769 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and -39\/179395?\nAnswer: 358790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:03 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x - 1092 = -134*x - 156*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1032772 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.993 - -0.007. Let w = 8.00000036 - v. Round w to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.1 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a factor of 48305280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/7)\/g)\/g**(18\/7)*g**19*g**(3\/4) assuming g is positive.\nAnswer: g**(449\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*a*i**2*n*r**2 + a*i**2*r**2 + 17*a*i**2 + 2*a*i*n*r**2 + 13*a*i*n*r - 45*i*n*r**2 + n*r**2 wrt i.\nAnswer: 120*a*n*r**2 + 2*a*r**2 + 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 182 = -5*g - x - 149, 0 = -4*g + 47*x + 427 - 313 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*j = -39 - 12, -5*j - 20 = 0. Suppose -2*m + 3*m = -2. Let z(d) = d**2 + 2*d + 2. Let p be z(m). Solve -f = g, p*g - y = f + 4*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:28 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-32))\/(1\/84). Let r = h + -36. Let f(o) = 27*o - 6 + 29*o - 51*o - 3. Calculate f(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/(-6)*4\/(-6). Let t(y) = y - 5. Let g be t(w). Let l(c) = -c - 1. Give l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 137*p**5\/60 - 5*p**4\/24 - 55*p**3\/6 - p**2 - 520*p. What is the second derivative of u(d) wrt d?\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:59 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2367 and 83\/89418.\nAnswer: 70550802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 640.5, -5, -0.5, -0.3, -4, 0.1 in decreasing order.\nAnswer: 640.5, 0.1, -0.3, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 73440276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60, -115, -166, -213, -256?\n\"Answer: 2*w**2 - 61*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + ((sqrt(18) + 2 + sqrt(2)*1 + -1)**2 - ((sqrt(10) - (sqrt(30)\/sqrt(3) - sqrt(10)))\/sqrt(5) + -3)).\nAnswer: 7*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 2. Suppose -4*f + h = 18 - 82, 0 = 4*f - p*h - 80. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)\/w**6)\/((w**(-3\/5)*w*w*w)\/w*w**3))**22 assuming w is positive.\nAnswer: w**(-1089\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/7 + 267*v**4\/7 - 19697*v**3\/7 - 5159823*v**2\/7 + 330632752*v\/7 + 365697180 = 0. What is v?\nAnswer: -218, -7, 81, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62503\/(-7)*(3 - 9). Let y = 96785 - l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 8*i**2 + 4*i + 13. Let c(n) = 11*n + 95. Let j be c(-8). Calculate t(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -a - 10, 28 = 3*a + a + 5*l. Let c(w) = 288*w**a - 295*w**2 - 4 + 0 - w**3 + 5*w + 2*w**3. Let k = 1 + 5. Give c(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1535*x - 1485*x - 700 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q. Let z be l(-1). Let i = -0.11 + 0.24. Let s = i + -0.13. Do z and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*36.7.\nAnswer: -11.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -0.4 (c) -6\/7 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 1236828?\nAnswer: 1236828.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -41.41. Let q = 0.410053 - w. What is q rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5\/7 + 18*j**4\/7 + 50*j**3\/7 - 50*j**2\/7 - 24*j - 88\/7 = 0.\nAnswer: -2, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148 and -0.1235.\nAnswer: -18.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48778*p**5 - 437320*p**4 - 1564840*p**3 - 2793600*p**2 - 2488320*p - 884736.\nAnswer: -2*(p + 2)**2*(29*p + 48)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -15*m**2 + 1093*m - 3294. What is u(3)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -101101114?\nAnswer: 101101113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 9, 47, 101, 171?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a + 11 - 2)*((-1 - 1 + 1)*(0*a + 2*a - 3*a) + 2*a + 4*a - 4*a + 71*a - 44*a + 13*a).\nAnswer: 86*a**2 + 387*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Let w(c) = 5*c**2 + c - 5. Let n(u) = 14*u**2 + 3*u - 14. Let l(r) = 14*r**2 + 3*r - 14. Let a(z) = -4*l(z) + 5*n(z). Determine d*a(t) - 8*w(t).\nAnswer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-772)\/(-14) - (-232)\/(-203). Suppose -61*u + 55*u + b = 0. Calculate the least common multiple of 44 and u.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - sqrt(91)*-1*5)\/sqrt(7).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 12*j**5 + 142504*j**4 + 442533920*j**3 + 114191957376*j**2 - 76324695552*j = 0.\nAnswer: -5796, -284, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*s - 2*k**2*s**2 - 5*k**2*s - 100*k*s**2 + 3*s**2 + s wrt k?\nAnswer: 6*k*s - 4*s**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62976 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 134, 191?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2 + 1. Suppose s*t = -t + 20. Let z(a) = a**2 - 5*a + 5. Give z(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/1440 - u**4\/24 + 4*u**3 - 9*u**2. Let q(j) be the first derivative of i(j). Factor q(n).\nAnswer: (n - 2)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*k + z, -z - 5 - 20 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(3\/8)*l*l**(2\/5))\/((l\/(l\/l**(-4)))\/l)**(-17\/2))**43)**43 assuming l is positive.\nAnswer: l**(-3012021\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t + 96 - 47 - 49 + 40*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-927495 + 927495 + 1870*g**3)*(-4*g - g + 4*g)*(-2*g + 3*g - 3*g).\nAnswer: 3740*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 5 (c) -3\/5 (d) 3\/23 (e) -0.089\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*d - 198*d - 417*d + 14385 = 0 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1200 - 1199.8. Sort 3\/5, j, -2\/169, 4 in descending order.\nAnswer: 4, 3\/5, j, -2\/169","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Let f = 11 + p. Let n = f - 13. What is the closest to 1\/4 in n, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983265187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*k + 5*w, -3*k + w = k - 61. Let m(x) = k*x - 13*x - 2*x**2 - 2*x. Let g(b) = -6*b - 3*b + 0*b. Calculate m(g(p)).\nAnswer: -162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-7 - (-8 - -6)) - (11 - 23)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304659128 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/6)\/(3 + -1 - 1). Let d be (1 + 3)\/(-4)*(-2 - o). Suppose 4*l = 84 + 24. What is the greatest common divisor of d and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 124*x**2 - 260*x + 223. What is p(64)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-333)\/16)\/(6\/(-8)). Suppose -b - 61 = 13*z - 12*z, -12 = 3*b. Let q be (z + 29)\/(0 - 1). Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 16*w - 2. Let b be a(16). Let d be (-2 + 452)*b\/(-5). Suppose -5*z = -3*z - d. What is the greatest common divisor of 60 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2333*u - 71. Let y be q(-1). Suppose 465 = k - 5*f, 4*k = -k + 4*f + y. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/30*-4 + (-1078)\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -37, -56, -77, -100?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111210122 + -2110210021?\nAnswer: -1221222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 1:11 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 925694 divided by 77\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202 - 2624\/13. Let o = 58\/95 + -4\/19. Let d = 4 + -5. Which is the second biggest value? (a) d (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -134076955874443?\nAnswer: -134076955874442.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, 6096, 7, -4, 3, -3 in descending order.\nAnswer: 6096, 7, 3, -3, -4, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1447729250 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)\/sqrt(7) - (sqrt(110)*1)\/sqrt(10)) + sqrt(121)\/(sqrt(11) - sqrt(99)) + 4 + -2)**2.\nAnswer: -10*sqrt(11) + 291\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42183 divided by -387?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/584172 and -133\/78516.\nAnswer: 424693044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 149839*u. Calculate s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 - 3*u - 2. Calculate y(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 18*i**2 - 267*i + 560. Calculate z(-28).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfuffufrrrrf. What is prob of picking 1 f and 1 r?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -524134239, -524134238, -524134237, -524134236, -524134235, -524134234?\n\"Answer: t - 524134240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 66, -1\/3, -0.4, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -4214 - -1) + -117 + 112?\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 22. Let v be l(-26). Let j = 27 + -19. Suppose 24 = v*h - k, 4*h = 4*k + 4 + j. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21208 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20*m. Let w(n) = n - 4. Let f be w(6). Suppose 0 = 3*x + 3*c - 12, 5*x - 22*c - 12 = -23*c. Suppose -f*h = 6, -h - x*h - 8 = u. What is v(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -7*i**5\/10 + 7*i**4\/12 - i**3\/2 - 2*i**2 - 7*i. Let q be k(4). Round q to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g**3 - 17*g - 20. Let q be l(10). Round q to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121303 (base 4) in base 14?\nAnswer: 3831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(58\/87*(-3)\/1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 4*h + 29, -4*h - 6 = -4*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 14*p**2 + 8 + 8*p. Let t(o) = -5*o**2 - 3. Let k(j) = -3*h(j) - 8*t(j). Let n(d) = -2*d. What is n(k(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 0.4 (c) 39 (d) -0.1 (e) 5\/6 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -5, -74, -37, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(7) + sqrt(7)*1)**2*-1.\nAnswer: -44 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd739 (base 14) to base 12.\nAnswer: -2002b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -18. Let o be (-2)\/(-5) - (-312)\/u. What is the greatest common factor of o and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255 - -257. Let y be -6*j\/9*-18. Let x be -2 - 0 - (-10 - 0). Calculate the highest common factor of y and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1205\/29 + 188331\/4582. Calculate the common denominator of -3\/10 and g.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 16*z - 21. Let d be m(-6). Suppose 0 = -5*n - 2 + 102. Let c = d - n. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7267?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 219*c**4\/4 + 17*c**3 + 198. What is the third derivative of g(p) wrt p?\nAnswer: 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -27. Let q = -0.07 - 0.23. Which is the second smallest value? (a) 5 (b) 4 (c) q (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351856 is divided by 2109.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w + 3*p - 21, -5 = -5*p. Suppose w + 9 = 4*r. Solve 3*s = 2*z - 14, 4*s + 9 + 3 = -r*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from vvvvnvttnnvv.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743274 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 100597.8 hours?\nAnswer: 4191.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30711145943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.5. Suppose -4*z + r + 121 = -2*r, 59 = 2*z - r. Let j be (-99)\/(-21) - (-8)\/z. What is the nearest to 0 in -3, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1183 or 1184?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 + -206. Let q = h - 42. Suppose -4*d + 28 = -40. What is the remainder when q is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5944*s - 8 = -5930*s - 218 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-6 - -3)*-1. Let j(f) be the second derivative of -f**3\/6 - 3*f**2\/2 + f. Let l(z) = -26 + 47 - 20. Give g*j(a) + 4*l(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 387, 774, 1159, 1542, 1923, 2302, 2679?\n\"Answer: -t**2 + 390*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 24*o**3 - 4*o + 4. Calculate i(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77)*-1)) + sqrt(77))*1)\/(sqrt(252)*1).\nAnswer: -3 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.1*4.\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 74, 80, 86, 92?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 15*q**7\/7 + 16*q**3\/3 - 3. Find the third derivative of l(u) wrt u.\nAnswer: 1800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025398 to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/3 - 28806*o**4 - 622454435*o**3 - 14933376200*o**2\/3.\nAnswer: -o**2*(o + 8)*(o + 43205)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g + 4*g - 10*g)*(45*g**4 - 3*g**3 - 47*g**4 - g**3).\nAnswer: -2*g**5 - 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16\/9, -3, 3, -2\/19, -9, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4*6\/(-40))\/(99\/(-44)*-2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/6*(-2)\/(-3). Let a = 7 + h. Calculate the common denominator of -19\/12 and 836\/168 + a\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3474, 6948, 10422?\n\"Answer: 3474*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/592386 and -113\/30.\nAnswer: 2961930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.8, -695, -1\/2 in increasing order.\nAnswer: -695, -1\/2, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 + 0 + -5 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/15)\/(4\/30). Let w = 9 - n. Suppose m + 2 - 11 = w. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 32 + 10 + 100 - 133*o. Let x be z(-26). What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450849008 to the power of 1\/2, to the nearest integer?\nAnswer: 58744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/1104*(-21)\/(-35)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22*g - 7. Let s(f) = -435*f + 110*f + 107*f + 105*f + 109*f. Calculate h(s(k)).\nAnswer: 88*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b - 19 = w, 4*b + 5*w + 18 = 0. Which is greater: b or -106?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -69, -149, -247, -357, -473?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 29*f + 95. Let r(w) = -2*w**2 - w + 2. Let s(u) = g(u) - 2*r(u). Let t be s(-29). What is the greatest common divisor of t and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -4. Suppose 4*n - 6 = f. Suppose -5*z + 3*z = 3*p - 2215, -n*z + 1482 = 2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11000295340 to the nearest 1000000.\nAnswer: 11000000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -61467*x + 2. Let u be r(6). What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 11. Let t be u(-10). Is 9 a factor of t\/((-3)\/(54*1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.004327 - -119.780673. Let k = l + 0.215. Let b = k - 119.7. What is the biggest value in 0.2, -16, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 320344, -0.4, -37 in decreasing order.\nAnswer: 320344, 5, -0.4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 4 = -5*x - 3*c, c = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011573 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q + 6*q)*(-3 + 2*q + 3 + (1183 + 33*q - 1183)*(-1 + 1 + 3)).\nAnswer: 202*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 2, 7, 12, 17, 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 6*r + 8. Let v be u(4). Suppose 0*j - 4*z = j - 1397, v = -5*j + 2*z + 6985. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -537225 or -3760570\/7?\nAnswer: -537225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 290\/3 + -98. Let h = -2.4 - -25.4. Let g = -23.06 + h. Put g, j, 0.5 in decreasing order.\nAnswer: 0.5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 19. Let x be (-4)\/a + (-17)\/(-3). Suppose -3*q + n + 52 = -7, -3*n + 21 = 2*q. Calculate the highest common divisor of q and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + 12*f**2 + 18*f**5 + f**3 - 17*f**5 + (0*f**2 - 2*f**2 + 5*f**2)*(5*f**3 + f - f).\nAnswer: 16*f**5 + f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 41 = -4*o, 2*o - 5*m - 2 = 1. Let z(l) = 3*l + 21. Let u be z(-10). Let r = u - -13. What is the least common multiple of o and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.0720484.\nAnswer: 0.1440968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + 2. Let v be p(0). Suppose v*l = 1 + 1. Let w = 55 + -50. Solve -w*i + 3*h - l = -12, 3*h = 3*i - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-4)\/8). Suppose 0 = -0*v - o*v + 21. Suppose -3*p + 5 + v = 0. What is the remainder when 6 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1334725, 3, 0.\nAnswer: -1334725, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/2 (b) 5 (c) -1\/6 (d) -177851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9764.715 and -0.3.\nAnswer: 9764.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*g - c + 28, -5*g + c = -24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955507 is divided by 477731?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 10*c**4 + 10*c**2 - 5*c.\nAnswer: 5*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -d + 54, -k + 22 = -3*k - 4*d. Let w = 21 + k. Calculate the highest common divisor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.11771 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.4 - -19. What is the third biggest value in u, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-6)\/(-21)*(-2478)\/(-531).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((5 - 2) + 0). Suppose f + v*f - 36 = -2*o, -3*f = -3*o + 27. Suppose 0 = -3*d + o, d + 35 + 43 = 2*h. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(49) + sqrt(98)\/sqrt(2) + sqrt(49) + sqrt(49))\/sqrt(7)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2 + g - 11. Let f be (8\/10)\/(2\/(-20)). Let u be c(f). Suppose y + 2*y - u = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14 and 45\/150304?\nAnswer: 150304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f + 6. Let t(u) = u + 1. Let p(m) = s(m) - 6*t(m). Let y(i) = -9*i. Calculate y(p(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.4893535 rounded to two decimal places?\nAnswer: 56.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3 + 195*q**2 + 173. Solve f(v) = 0 for v.\nAnswer: 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zik when three letters picked without replacement from baizzbkzz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Suppose x = -2*s + 12. Is 265\/s + (2 - 0) 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 75 and 1635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -612, -1378, -2450?\nAnswer: -3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n. Suppose -23 = -5*h - 3, -12 = 4*r - 4*h. Let d(j) = j. Calculate r*o(k) + 4*d(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/(-1 + -1). Let b = 0 + i. Let f(v) = 4*v - 15. Let l be f(5). Solve 0 = -b*s - l + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 886 and 3?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057927851 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*y**2 - 4 - 1 + 3)*(-36 + 36 - 43*y) as h + l*y**2 + w*y**3 + b*y and give w.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**0*y*y)\/y))\/y**(-3))\/(y**(-2\/5)\/y**6) assuming y is positive.\nAnswer: y**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wee when three letters picked without replacement from {w: 1, e: 5, m: 7, a: 2, n: 3}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -26*d - 7. Let f(c) = 14*c + 4. Let n(p) = -5*f(p) - 3*s(p). Let a(r) = 3*r - 47. Let y be a(15). What is n(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 0.3 (c) -5868\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*r - 67 = -57, -5*r - 30 = 3*s. Let q(z) = -314*z - 171. What is the hundreds digit of q(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 + 11*y + 11. Calculate r(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -298 - -271.027\nAnswer: -26.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397128401 is divided by 2631?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30590*o**3*p**5 - 3*o**3*p + 185*o**3 + 8*o**2*p + p**2 wrt p.\nAnswer: -1835400*o**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 5. Let o(g) = -4*g**2 + 12*g + 4. Let d(x) = -3*x - 1. Let l(b) = -4*d(b) - o(b). Calculate t(l(u)).\nAnswer: -16*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37321.73 minutes?\nAnswer: 2239303800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*p = 73615, -8*c + 63348 + 54425 = -3*p. List the prime factors of c.\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.4118804 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q + 2*v - 2, 5*q = v + 65. What is the units digit of (-104)\/6*q\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209364659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 11645*d + 34890.\nAnswer: 5*(d - 2326)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 36027.539\nAnswer: -792605.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 13 - (-11 - 1) - (-15 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(4232\/1060 - 4).\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1314 (base 5) to base 9\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -110, -371, -882, -1727, -2990, -4755, -7106?\n\"Answer: -14*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314407488.\nAnswer: 2, 3, 1637539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 - 2542 = 95*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 5*v - 21, -5*m - 5*v + 45 = 0. Suppose -14 = -4*d + 5*i, 4*d - 2*d - m*i = 10. Let y be 6\/25*(-10)\/6*176\/(-132). Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 45 = 27. Let c = 12 - u. Solve c = -2*l + 5*y + 13, y - 2*y - 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 5 + 1)*(2*x + x + 0*x).\nAnswer: 51*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -7. Let h(l) = -15 - 11*l + u*l + 0*l. Let d(b) = 7*b - 8. Let r(o) = o**2 - 7*o - 12. Let q be r(9). Calculate q*h(i) - 11*d(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:55 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -785, 0 in increasing order.\nAnswer: -785, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -34*u**3 - 18*u + 38. Let k(s) = -7*s**3 - 4*s + 8. Let n(i) = -14*k(i) + 3*v(i). Calculate the remainder when n(-3) is divided by 103.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = 8. Let g(y) be the first derivative of 2 + 0*y + 1\/16*y**q + 0*y**3 + 0*y**2. Factor g(v).\nAnswer: v**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3597 + -3592. What is the biggest value in 50\/3, -3, p, 2?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 109*s - 376. Give y(102).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 36. Let v = 6 - 5.7. Which is the third biggest value? (a) o (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.843898329 + -1623.155913771. Let l = n - -1627. What is l rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3726*b**2 + 28*b + 3726*b**2 + 39*b**4 wrt b?\nAnswer: 468*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/59, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*l - 14454, 269*l - 272*l = w - 14448. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8372 and 1932.\nAnswer: 25116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.4 + -17. Let s = -1 + p. Let w = 7 - 5. Which is the second biggest value? (a) 0.1 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 15939 = 169*j + 1288. Calculate the remainder when j is divided by ((-1)\/(-3))\/((-2)\/(-228)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1\/2))\/a)**(2\/17)*a\/a**(-1\/5)*(a\/a**(-2\/15))\/a)\/((a**(-1\/6)\/a*a\/(a\/(a*a**(1\/2)*a)))\/(a**(-2\/7)\/a)**(4\/9)) assuming a is positive.\nAnswer: a**(-61\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 39*p + 4. Let g be o(-7). Let d = g - -498. Suppose 0 = -5*n + 136 + d. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 63 + 112. Let f = -32 + q. Calculate the lowest common multiple of f and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 15) to base 4.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/15 - (-2016)\/(-540).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -11. Let k(c) = -8 - 5*c + c + 8. Calculate k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*o**3 + 17*o**2 - 33*o**3 + 56*o**3 + (0*o**2 + o**2 - 2*o**2)*(0*o + 2*o - o) to v + m*o**3 + f*o**2 + x*o and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783212122?\nAnswer: 2, 3, 5051, 91837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/((-77594)\/(-19404) + -4). What is the highest common divisor of 204 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92236 - -107764. Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -41. Let r = 11 + f. Suppose -l = -r - 0. Solve -2*c = -5*u + l, 5 - 1 = 4*c - 4*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464245.\nAnswer: 5, 92849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrar when four letters picked without replacement from aarrrvra.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebeb when four letters picked without replacement from xrrrbbbbrrbberrrrebr.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -73387969 times -6?\nAnswer: 440327814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -8512, 3, 317 in increasing order.\nAnswer: -8512, -5, -4, 3, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 77911700 to the nearest one hundred thousand.\nAnswer: 77900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 6 - 18 - (-10 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let i(d) = 6 - 1 - 5 - d. Determine i(b(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6461 - -5279. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 24 = -40*t. What is the fourth smallest value in -1\/3, 0.05, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179859 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -25 - 5*g**3 - 59*g + 6*g**2 - 61*g + g**2 + 108*g. Is o(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2189, 2179, 2169, 2159?\n\"Answer: -10*i + 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(1*sqrt(190) - sqrt(190) - sqrt(190)) - sqrt(190)) + sqrt(190))*2)\/((sqrt(250)*1 - sqrt(10)) + sqrt(40) + sqrt(40)*-2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*g - 40 = 0, -2*d + 0*g + g + 53 = 0. Let l = 42 - d. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (465\/30 + -17)*1694*-1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618051073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2453359cm?\nAnswer: 2453.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4+29.85\nAnswer: 33.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110100 - -1?\nAnswer: -10001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 6*u + 3*u)*(u + 2*u - 2*u) + 0*u**2 + 2*u**2 + 0*u**2 + (22*u + 7*u - 2*u)*(-4*u + 2*u + 3 - 5) in the form w*u + a*u**2 + l and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 51 (b) -5 (c) -3 (d) 0 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*r = 39212, 20467 + 3059 = 3*p - 2*r. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32410439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1012 and 40.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(-2\/9))**(-44)*a**(-1\/4)*(a*a**(1\/4))\/a*(a*a**(-4\/9))\/(a*(((a**(1\/7)*a)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(6703\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/8 (b) -1\/1342 (c) -1 (d) 4 (e) -3 (f) 0.015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/2 - 5*s + 4. Let k(y) = 9*y**2. Determine r(k(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -706124 rounded to the nearest 10000?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 1 - 2*m**2 + 0)*(-83*m + 78*m + 133*m).\nAnswer: 256*m**3 - 128*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -479104 times 4?\nAnswer: -1916416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2)*w**(-2\/13)*(w**(-3\/7)*w)\/((w**(-3)\/w)\/w)*(w\/(w**1*w))**(-21\/8)*(w**(2\/13)\/w)\/((w*w**1)\/w) assuming w is positive.\nAnswer: w**(291\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4 - (5 + (-3824 - 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671 (base 8) in base 14?\nAnswer: a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d**3 + 15\/2*d**2 + 1\/6*d**5 + 0*d - 1\/24*d**4 - 5. Let k(s) be the second derivative of h(s). Calculate k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 4*d - 4. Let s(f) = -f**2 - 2*f + 2. What is -6*s(x) - 3*w(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114\/11, 4, -1, -48.57, 2, 3.\nAnswer: -48.57, -114\/11, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/a**6)*a)\/a))\/a*a*a\/(a\/a**(3\/4)))**(-6) assuming a is positive.\nAnswer: a**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -7 + 16 + -6 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Suppose -6 = -p*l - 2. Let o be (-1)\/(1*1\/5). Sort o, 3, l.\nAnswer: o, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 64\/9*w**4 - 500\/9*w - 40*w**3 + 800\/9*w**2 - 4\/9*w**5.\nAnswer: -4*w*(w - 5)**3*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.45 in 4, 0.5, -2, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 8:09 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 120 = d + 4*d, 2*o = 3*d + 87. Let h be 4\/d*6\/4. Let q = 3 - 2.9. What is the second biggest value in 2, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -110)*-2*(-1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, 2\/5, -1034\/5, -0.5 in ascending order.\nAnswer: -1034\/5, -0.5, 1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6043 times -0.896?\nAnswer: 5414.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-10)\/45. Suppose c = 4*q - q + 3. Let t(g) = 6*g - 1. Determine t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3201 or -3200?\nAnswer: -3200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -10*p - 39 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 3*i**3 - 2*i**3)*(-8*i + 0*i + 7*i) + 437 - 437 - 115*i**4 as y + s*i**4 + u*i**3 + p*i + x*i**2 and give s.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 23. Let m = 0.2 + -4.2. Put m, u, 2\/19 in increasing order.\nAnswer: m, 2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 4, 6 in ascending order.\nAnswer: -4, -2, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1785 divide 58846095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h - 12*h - 36*h + 105 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 17 = -9*a - 3*l, -3*a - l = 29. Let o be (-6)\/(-10) - 6474\/a. Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508652923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 0 in ascending order.\nAnswer: 0, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 2. Let q(f) be the third derivative of f**5\/60 - f**4\/8 - f**2. Let v(u) be the second derivative of q(u). What is -2*j(m) - 3*v(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 11. Let g be v(-9). Find the second derivative of -g*u - 3*u**2 + u - 2*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31a3 - -1?\nAnswer: 31a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 1326180 = -1718820. What is f rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-6)\/135)\/(45\/(-300))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -37, 18, -9\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 93 - 856 + 135.\nAnswer: -s**2 - 814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 4*m + 3*x + 4, -m - 3*x + 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 + 658*f**2 + 2*f - 48399. Give i(219).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 277*s**2\/3 - 18760*s\/3 - 19600.\nAnswer: -(s - 140)**2*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-480)\/(-2040) - (-140)\/(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/12 + 5 + 1\/((-15)\/(-57))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2. Let g = -50 - -55. Let y(b) = -g*b - 6*b + 2*b. Determine v(y(c)).\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 + 5*d**2 + 245*d - 248*d.\nAnswer: 20*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - (-297)\/30 - -1 and -3 - -2 - 1\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280445894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32620 divided by 5?\nAnswer: -6524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/16 - (-1 + 0). Put -2\/11, b, -2\/3 in descending order.\nAnswer: -2\/11, -2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 369 = 399 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmumwmurmwimmoimm. Give prob of picking 3 m.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1293+1046888.77\nAnswer: 1046888.6407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 15 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(-2)\/(-1). Suppose 3*l = 5*l + w - 11, -3*l + 14 = 4*w. Let h = l - u. Solve 4 - 3 = -5*z - 2*n, -3*n - 6 = h*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 693, -129, -4 in ascending order.\nAnswer: -129, -4, 1, 3, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754705919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12)*1)\/(5*2\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 - 19409*s**3 + 601005*s**2 - 5562319*s + 16141874 = 0. What is s?\nAnswer: 7, 17, 19378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17352014?\nAnswer: 2, 151, 57457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/(0 - (-1 + 2)). Let s = t + -43. Solve b = 3*l - 4*l + s, 3*l - 6 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311969, -623937, -935905?\nAnswer: -1247873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 190*x**2 - 6*x + 18. Let t(q) = -176*q**2 + 8*q - 22. What is 4*j(w) + 3*t(w)?\nAnswer: 232*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -21 + (820 + -4)\/34. Let w be 328\/28 + 4\/14. Suppose -y - 3*n - w = -0, -12 = -3*y + 3*n. Solve m + p + 2 = y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9772932 micrograms?\nAnswer: 0.0000000000009772932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311335 + -2?\nAnswer: 311333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/203 + -5\/29. Let x be 18\/57*25\/105. Let v = x + b. Is v at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -5642177539?\nAnswer: 5642177548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.03383\nAnswer: 0.06766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d + 1. Let m be 8\/d - -1*7. Suppose -m = 4*j + 11. Put 2, 3, j in ascending order.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -266, -834, -1924, -3710, -6366?\n\"Answer: -29*n**3 - 17*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 86434 and 0.4?\nAnswer: 86433.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 58, 3\/218, 4, 0, -4 in increasing order.\nAnswer: -4, 0, 3\/218, 4, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:20 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:10 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/114)\/((-15)\/12).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 6466350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.7 - -18.6. Let f = 3.88 - r. Let i = 0.3 + -0.2. What is the third biggest value in i, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(1 + 2 - 9). Suppose 5*u = -5*s + 30, 0 = -4*u - 0*u + 4*s - 8. Which is the smallest value? (a) 0.02 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 426*k + 2805. Give t(-91).\nAnswer: -2837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1664\/17 + (-8)\/(-68). Let g = a + -98. Solve g = 2*v + 3*f + 11, -5*v + f + 35 = -4*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2681 + -2025. Calculate the smallest common multiple of 56 and h.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 141, 89, -25, -225, -535?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 2 m when four letters picked without replacement from ymyymiy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.04 - 0.2. Let k = 0.53 - q. Let j = k - -0.31. Which is the closest to j? (a) 4 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (96\/(-240))\/((3\/5)\/(-3)). Solve m*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370\/15*240\/160 - (-2)\/(-1*2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 19, 32, 51, 76?\n\"Answer: 3*q**2 - 2*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18294094?\nAnswer: 2, 7, 13, 100517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9388336*r. Let y(l) = 7*l. Determine d(y(h)).\nAnswer: -65718352*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 887233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n - 332*n**2 + 2 + 0*n - n**5 - 246*n**2 - 191*n**6 - n wrt n.\nAnswer: -22920*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -49 (b) -0.3 (c) 11 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**2. Let b(r) be the third derivative of -r**4\/24 + 32*r**2 + 4. Determine b(h(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -307*v + 2*v**2 - 164 + 82 - 3*v**2 + 82 - 396*v**3 wrt v?\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 63*n**3 - 4*n**2 + 13*n - 18. Let k be s(5). Find the second derivative of 7658*z - 4 - k*z + 4 + 182*z**2 wrt z.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (6 - -7)) + (-15 - (-10 - -6) - 11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 2*l + 90. Let a(r) = 2*r + 1. Determine -a(x) + u(x).\nAnswer: -x**2 + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 11*s - 10 - 16. Solve -3*t = s*d + 23, 4*t + 17 = -d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*w + 26, -2*n - 3*w = -6*n + 1. Let j(t) = -t**3 + 6*t**2 - 7*t + 5. Does 4 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -687 times -0.1?\nAnswer: 68.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 838*q - 1672. Let z be p(2). Sort -3, 0, z, -30, -2.\nAnswer: -30, -3, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z = 20. Factor 0*n**4 + 3*n**3 + n + 33*n**2 - 2*n**4 + 3*n**z - 30*n**2.\nAnswer: n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*d + 14 - 42, -d = -4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 11*z - 47. Suppose 59*m + 27 = 853. Calculate p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 48, 88, 166, 294, 484?\n\"Answer: 2*m**3 + m**2 - 3*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-1 - (4 + 2)) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8162344 = 116*u + 8170696 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6)*36\/8. Let r be ((-2)\/2)\/1 + 7. Let d = z + r. Solve d = 5*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1063 (b) 0.4 (c) -11 (d) -16.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + (sqrt(108)*-2 - sqrt(108))*-5)\/(-2*sqrt(64)))\/(sqrt(1089)*-4*-2*-2).\nAnswer: sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00156370517 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -1045.9?\nAnswer: -1045.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/64 + -259\/192. Which is the third biggest value? (a) l (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -380 + 395. What is the remainder when 66 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34330.68 to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 8:29 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8945.28 millimeters in nanometers?\nAnswer: 8945280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 3*c)*((-4 + 5*c**2 + 4)*(1 + 1 - 4) + c - 2*c**2 - c) to the form y*c + u*c**3 + a*c**2 + r and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 625 - -307. Let w = -3452 + c. What is the remainder when 4\/10 - w\/75 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4720192523*y - 9440385025*y + 4720192506*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.8*-0.2.\nAnswer: 4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -87. Let u(p) = -p - 7. Let r be u(-5). Let l be (r\/(-8))\/(3\/(-4)). Put -1\/12, l, v in ascending order.\nAnswer: l, -1\/12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.4459 rounded to zero decimal places?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 4. Suppose -j*c + 2 = 17. Let w be (-116)\/c - 7\/35. Calculate the greatest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**4\/12 - 16*b**3\/3 + 104*b**2 - 3*b - 1. What is the first derivative of n(d) wrt d?\nAnswer: -2*d - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 9796?\nAnswer: 35\/9796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 80 = 2*f, 16 = 4*f - p - 116. Solve f + 23 = 11*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 7.97. Let p = v - 1.03. Let z(r) = -r**2 + 8*r + 1. Let n be z(8). Sort n, p, -0.2 in increasing order.\nAnswer: p, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*x - 24367 - 18923 = 888*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:04 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert d0bba0 (base 16) to base 10.\nAnswer: 13679520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9265 greater than or equal to 9255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34429, -1\/5, -2 in decreasing order.\nAnswer: -1\/5, -0.34429, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2425 - -3434. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164119 divided by -337\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1291 + -1259. Let q = -17 + 17.5. Sort d, q, 0.1, 1\/9 in decreasing order.\nAnswer: d, q, 1\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 10 + 18 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (112*5\/(-1600))\/((-14)\/15)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + f = 5*f - 16, -3*l + 36 = 3*f. Calculate the remainder when 395 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779 divided by -29631.\nAnswer: 779\/29631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1201, -2998, -4809, -6640, -8497?\n\"Answer: -w**3 - w**2 - 1787*w + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 634*n*u**2 - 8*n*u + 36*u**2 with respect to n.\nAnswer: 634*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j + 19878 - 187815 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in -200, 5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71228 divided by 2?\nAnswer: -35614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 246 = 0. Let d(b) = b**3 - 142*b**2 + 147*b - 20811. What is the remainder when g is divided by d(142)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1057533 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -171050, -342101, -513152, -684203, -855254?\n\"Answer: -171051*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130, -132, -134, -136?\n\"Answer: -2*l - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -224*c*v**3 + 2*c - 145289*v + 301144827 wrt v.\nAnswer: -672*c*v**2 - 145289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6830800, 6830910, 6831094, 6831352, 6831684, 6832090, 6832570?\n\"Answer: 37*k**2 - k + 6830764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553 = 4*p + 1387. Calculate the common denominator of 1\/14 and p\/(-55)*(-3)\/(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12177396 and 5535180?\nAnswer: 60886980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let n(k) be the third derivative of 1\/4*k**4 + 0 - 1\/6*k**3 + 0*k - 2*k**2. Give n(i) - 4*s(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 457.2 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z - 5*w - 27, -z - 1231*w = -1232*w + 9 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/5 - 66*u**4\/5 + 459*u**3\/5 - 816*u**2\/5 - 1344*u\/5 = 0 for u.\nAnswer: -1, 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0859281t in grams?\nAnswer: 85928.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, b: 4, l: 4, d: 6}. What is prob of picking 1 d, 1 s, and 1 b?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1241*l**3 + 2900*l**3 + 2790*l**3 + l**2 - l**3 - l**2 + 0*l**3 + 2*l**3 - 4*l**3 + (-2 - 2*l + 2)*(-l**2 - 3*l**2 + 2*l**2) + 2*l**3 - 4*l**3 + 0*l**3.\nAnswer: 4448*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2, -r + z = 2*r + 8. Let d be (-1)\/(-2) + (-5)\/r. Let p(n) = -2733334*n + 2. Let i be p(d). What is i rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -1\/4, -161, -1 in increasing order.\nAnswer: -161, -1, -1\/4, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20637 is divided by 717?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 259*f - 42 = 0, -2950*f + 226 = -2*j - 2949*f for j.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*-1*-6*3*-2*(1 + sqrt(1053) + sqrt(1053)).\nAnswer: -1296*sqrt(13) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + (8 - (-21 + (-8 - -12)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + 16\/6. Solve -5*k + 3 = 4*u, 0 = s*k - 4*k - 4*u + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**2 - 70. Let z(j) = 7*j**2 + 5*j + 5. Let d(h) = -6*h**2 - 4*h - 4. Let b(w) = -5*d(w) - 4*z(w). Give p(b(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801706237?\nAnswer: 3, 11, 19, 43, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5\/10 + 7*x**4\/5 - 17*x**3\/10 - 3*x**2\/5 + 2*x - 4\/5 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 285375589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5129612 + 5384241 = 7*w. Suppose 11*v - w + 371179 = 0. Round v to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8740*c**3*v**2 - 17*c**3*v + 3*c**3 - 17*v wrt v.\nAnswer: 17480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:26 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.99 times 0.63?\nAnswer: -17.6337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 7. Let o(n) be the third derivative of 6*n**2 + 0*n**3 - 1\/120*n**g - 1\/60*n**5 + 0*n + 0 + 0*n**4. Factor o(x).\nAnswer: -x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 24*b + 4. Let k be r(-8). Solve -6*s = k*s - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 3 + (2 - -6). Solve -l*r + x = -3 + 7, 4*r - 3*x = -10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 1022. What are the prime factors of x?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 4*c**2 + 12*c**5 - 23 + 27 + 3*c**4 wrt c?\nAnswer: 720*c**2 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80665748 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6933732*c**2. Let b(i) = i**2. Give b(q(u)).\nAnswer: 48076639447824*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574812604 to the nearest integer?\nAnswer: 23975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:26 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-63)*-42)\/((-2)\/(-3)). Put u, 0, -3, 3 in increasing order.\nAnswer: u, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 45*s - 1150. Let a be z(-57). Calculate the greatest common divisor of 121 and a.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13303075 - 6?\nAnswer: 13303067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -158953400 to the nearest 100000.\nAnswer: -159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7353 or -7347?\nAnswer: -7353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4539 + -4642. Sort -4, -0.1, z, 3.\nAnswer: z, -4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let m = 110 - 114. Sort -1, m, c.\nAnswer: m, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/17 + (-36)\/(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1241 - 5184 - 7835 - 9046 - 6432)*(0*q + 0*q + 2*q**2).\nAnswer: -54512*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43006 != 43003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 3. Calculate w(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/(n*n**19\/n*n))\/n)\/n*n))\/n*(n\/(n*n*n\/n**(-3\/2))*n)\/n*n assuming n is positive.\nAnswer: n**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 13. Suppose 2*g - k + 6*k = 130, -i*k - 130 = -2*g. Suppose -3*h = 23 - g. What is the remainder when 67 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.4. Suppose 44*o = 69*o + 25. Let n be (-14)\/18 + 2\/(-9). Which is the nearest to n? (a) o (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*i + 2650 - 1322 - 1328)*(5 + 5 - 6) as h + m*i and give m.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 4 = -7*k. Suppose -k*q - 2 = -3*q. Let m be (1 + -1)\/(0 + q). Solve m = 5*v - 2 - 13, -2*v = -5*n - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:56 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/12 + 5*u**3\/6 - u**2\/2 + 686*u. Let h = 5 + -2. Calculate b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 7*w**2 + 4*w + 6 - 2*w**2. Let k(j) = -2*j - 73. Let m be k(-39). What is n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-25))\/(s*s**(-5\/7)*s)*s\/s**9*(s\/s**(-1\/44))\/s assuming s is positive.\nAnswer: s**(-10245\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (1 - 1)) + (-3 - 11 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:35 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - 60\/35 - -914. Suppose 2*z - h = -2*l, -156 + 597 = l - 2*z. List the prime factors of l.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0 - (-19 - (-4 + (1 - -1)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a9556 (base 11) to base 13.\nAnswer: -4441ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14463555 and 295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 3 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 + 2*n. Let z(x) = -44*x**2 + 37*x + 4. Let s(j) = j**2 + j + 1. Let w(u) = 4*s(u) - z(u). Determine -33*g(o) - 2*w(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3590 and 1765562?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/4))\/v*v)**(-1\/24))**(-19)*v**1*v**(-5)*(v**(2\/5)\/v)**(4\/9) assuming v is positive.\nAnswer: v**(-1763\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 41*m**2 - 20438*m - 2723. Give r(124).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-150))\/((33\/54)\/(-11)*3).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*i = -466*i - 36 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 451 + -5859\/13. Suppose 0 = 18*o - 23*o + 5*d - 60, -2*d = -o - 17. Let h = o + 47\/7. What is the third smallest value in h, -5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (1 - 1))\/((-22)\/(-8558)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*j + 4 = -5, -5*a = 5*j - 5. Let q(u) = 5 + 2*u - a - 3. Let f(k) = 2*k - 2*k + 5*k**2. What is q(f(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5454?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*6*2\/390.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 71. Suppose r*j = 2*j + 45. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153610 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 2, q: 3, m: 1, v: 1, e: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-80))\/(180\/32))\/((-1)\/3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1774 - 38664 = -5*d, 2*d + p - 14759 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y + 2. Suppose -1 = 2*w + 3. Let h be l(w). Let p = h - -2. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (2 - (6 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {s: 1, g: 1, j: 4, y: 3, u: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = 28. Suppose t + 4 = 3*f + a, 4 = f - a. Suppose f*j - 27 = j. 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 the third derivative of -52*d**6*i + 3218*d**4*i**3 - 258*d**2*i**2 + 260*d*i**3 wrt d?\nAnswer: -6240*d**3*i + 77232*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 302, 689, 1156, 1697, 2306?\n\"Answer: -z**3 + 46*z**2 + 256*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -70, -9, -52\/5, 0.5, -3\/4, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -521.471+-1150\nAnswer: -1671.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 79437 - 280261 = -2*d, 2*d = -j + 25103. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86151\/17590 + -4\/1759. Calculate the common denominator of l and 35\/452.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (875\/1218)\/(-5) - ((-168)\/18)\/4. Which is bigger: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 665 and 5510.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwehe. What is prob of sequence hwe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 2579523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 742904363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -55588445 to the nearest one hundred thousand.\nAnswer: -55600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434015, -434016, -434019, -434024, -434031, -434040?\nAnswer: -434051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -17*p**2 - 112*p + 42. What is g(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 1. Let y(z) = -6*z - 137. Let v be y(-22). Let x = 12 + -10. Let w(t) = -x + 2*t - 5 + 6. What is v*s(o) + 4*w(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {p: 1, d: 2, m: 1, f: 1, i: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 divided by 4?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 45 + (-34 - -110) + -58?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**2 + 58843*u + 117708. Determine l(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 6 = 6*m + 3*s, 4*m + 5*s = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(33)\/sqrt(3) + -4 + sqrt(11)) + sqrt(132)\/(-2*sqrt(1452)).\nAnswer: -20 + 219*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -15. Let k = -2857\/22 - -263\/2. Find the common denominator of k and (68\/r)\/(11\/55).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111758 is divided by 170.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 2*a**3 + 2*a**2 + (-5 + 4 + 0)*(-a**2 + a**2 - a**3) + 32*a**3 + 15*a**3 - 16*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.97 + -2. Let c = z - 0.37. Suppose 66*m + 3*s + 8 = 65*m, 5*m - 40 = 5*s. What is the closest to -0.1 in c, 3, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 - 11?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from nggenefeinifg.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a + 100. Let p(l) = -l**3 - 38*l**2 - 35*l + 67. Let n be p(-37). Let d be c(n). Solve -3*y - 14 = -t + d*t, 0 = 2*y + t + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 487907 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/35*3213\/765*2\/(-28))\/1\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6666\/3233 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 divide 200478195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -421 - -418. Suppose 10*n - 6 = 8*n. Sort n, v, -8, 4 in ascending order.\nAnswer: -8, v, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 40. Let v(h) be the third derivative of -h**6\/120 - h**5\/6 - h**4\/2 - h**3\/2 + 22*h**2. What is the remainder when v(g) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001899 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.1 (b) -27 (c) 4 (d) -1\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -39*a + 37 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 6*q**3 + 81*q**2 - 324.\nAnswer: -3*(q - 3)**2*(q + 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 6*t**2 + 11*t - 22. Let u be r(5). Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -7, 4, -2\/3, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 2*y + 0*y - y + 0*y + 3*y + (1 + 3 - 5)*(0*y - y + 2*y) - 1 + 1 - 2*y - y - 2*y + 2*y + (5 + 10 + 5)*(0 - 3*y + 0) - 15 - 30*y + 12 - 8*y.\nAnswer: -102*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011572 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*i**3 + 2494*i**2 + 2*i + 267499.\nAnswer: -114*i**2 + 4988*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w**3 + 50*w**3 - 22*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 7 - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3976 and 81\/2414.\nAnswer: 67592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 29*b**2 + 121*b + 10. What is the remainder when y(-21) is divided by 326?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23351362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 + 858*a**3\/5 - 88944*a**2\/5 + 2709664*a\/5.\nAnswer: -2*a*(a - 293)*(a - 68)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**21)*n*n)\/n**23*(n*n**(-8)*n)**(2\/53) assuming n is positive.\nAnswer: n**(-2238\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270838671.\nAnswer: 3, 101, 893857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-4)\/i*i*i**(-3\/8))\/(i**2)**(-16\/5) assuming i is positive.\nAnswer: i**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 3. Let g(o) = 1 - u + 6*o - 78*o**3 + 3*o**2 + 77*o**3. Let y(r) = -r**3 - 5*r**2 - 6*r - 4. Let j be y(-4). Give g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 813 - 813. Solve v = -50*s + 40*s - 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v - 7*v - 2*v**2 - v**3 + 5*v**2 + 0*v + 2. Let u be s(-2). Let m = u - -27. What is the greatest common divisor of m and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 94 = 32*s - 19*s, -3*s = 5*g - 2 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:14 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -15*m**2\/2 + m + 3. Let g be t(-1). Calculate the highest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4156075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1)*(-2)\/(-9). Let v be (-316)\/(-36) + (-4)\/(-18). Let z be (12\/(-9))\/(5 - 51\/v). Which is the second biggest value? (a) -3 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42911980711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 641.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n**3 - n + 1. Let s(h) = -h. Let v be s(-1). Let b be k(v). Let f(a) = -7 + a**2 + b. Let l(p) = -3*p**2. What is l(f(d))?\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*z + 27*z - 18*z - 110*z to the form k + j*z and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -29, -61, -93?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*s - 4 + 7, 3*s - f = 15. Let o(r) = -2*r**2 - 2 + 6 + 3*r**2 - 4*r. Let w be o(4). Solve 0*b = 4*b - s*x, -w*b - x = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -4*g, g = l - 2 - 3. Let c(q) = 3*q**2 - l*q**2 - 12*q + 18*q - 5. Calculate c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -134*o**3 + 2*o**2 - 3. Let a be n(-2). Suppose -2*v = 4*r - 704, 3*v - 4*r - a = -3*r. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486819221 minus -0.1?\nAnswer: 486819221.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51670529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 33*v**3 - 4*v + 4. Let n(s) = 67*s**3 - 7 - 9 - 9*s + 3 + 21. Let g(u) = 13*l(u) - 6*n(u). Find the second derivative of g(r) wrt r.\nAnswer: 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -15\/7, 0 in ascending order.\nAnswer: -15\/7, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076 = -220*d + 14*d - 778 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 21591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-27)*(u**(-2\/17))**(-3\/26))**(17\/4) assuming u is positive.\nAnswer: u**(-1491\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 7. Let b be r(4). Let k = -4.4 - 1.6. Let u = k + 5. What is the nearest to u in -2, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 4*w + 3*w)*(-2*w**2 - w + w) + (-w + 9 - 9)*(2 - 2 - 4*w**2).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 48 = 17. Let p = i + 53. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 111. Solve 4*y - 3*k = h, -2 = 3*y - k - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 63 = -6*o + 2*o, 3*o - 24 = -4*z. Let m be (-20)\/6*o\/(-8). Suppose -2*v + m*v - 177 = -3*t, -t - 2*v + 61 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = -4*a - 25, 3*u - 20 = 4*a. Let l be (51\/85)\/((-1 + 0)\/a). What are the prime factors of 1*(-339)\/l*-1?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 14 + 7)*(-4*j + 2*j + j + (2*j + 3*j - 4*j)*(-8 + 3 + 1) - 6*j + 2*j - j) + (-1 - 3 + 6)*(0*j + 2*j - j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 171 = -2*v + 164, j + 5*v = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 44 = 14*v. Let b be (-5)\/2*(-8 + 4). Suppose b*y - 6*y = 136. What is the remainder when y is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/3))**43*(y**(2\/17)\/y)\/((y*y\/(y\/y**(-4\/7)))\/y) assuming y is positive.\nAnswer: y**(-25696\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1189507 - 1189507 - 1105*v to s*v + f and give s.\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005506 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*r + 11713, 5*r - 11039 = -5*k + 8481. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 + 7*v**3 + 1\/2*v**2 - 2*v. What is the remainder when r(1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 550\/385*((-14)\/(-91) - (-178)\/26). Solve 7*u - 12 = r*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5818193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 29*q + 14. What is g(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h**2 - 1)*(-6*h**2 + 7 - 7) + (-3 - 1 + 2)*(-2*h**4 + 4*h**4 - 3*h**4).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*((-2 - -29) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:49 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-155*l**5 - 74*l**2 - 177*l**5 + 327*l**5).\nAnswer: -10*l**5 - 148*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 - (-40 + 35)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3123 divided by 3.\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109645\/24 - 4567. Calculate the common denominator of q and -5\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - r + 3)*(-2*r**2 + 0*r**2 + 6*r**2)*(-1 + 2 + 3).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7*n = 3*f - 3, 3*f - 12 = 0. Let p be 3\/(-6)*(-24)\/n. Let g be (-7)\/(-2) - (-2)\/(-4). Sort p, g, -1, 2 in decreasing order.\nAnswer: g, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 3*p**5\/10 - 5*p**4\/24 + 7*p**2. What is the units digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2476201 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1524332 or -2?\nAnswer: -1524332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4686.9.\nAnswer: 4685.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 145692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 255031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, 36, 1342?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239654237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 6, -3, -1, 2, 72 in descending order.\nAnswer: 72, 15, 6, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*c - 8*n + 23, 0 = 5*c + 3*n - 49. Calculate the smallest common multiple of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.3 or -33994?\nAnswer: -33994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 14. Let z be m(19). Let q(c) = -5*c + 5. Let h(b) = -6*b + 7. Let w(l) = z*q(l) + 4*h(l). Calculate w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iihhwhhi. What is prob of sequence ihi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.042.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*a**3*o*x - 337*a**3*o - a**3*x - 5*a**2 + 2*a*x - 20*a - 4*x wrt o?\nAnswer: -26*a**3*x - 337*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21\/5, 0, 0.4, 733?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*j - 5*g, 0 = -5*j + 3*j - 2*g - 54. Let n = -24 - j. Let w be (-2)\/(7\/(-35) - n\/45). What is the highest common divisor of 63 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -274, -275, -276, -277?\n\"Answer: -h - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let r(i) = i + 4. Let j be r(-9). Suppose 30 = 5*z + 2*a, -2*z + 0 = a - 13. Let g(v) = z*v - 10*v + 3*v. Determine j*n(t) - 2*g(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 933354999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 = -3*f, 105*l - 4*f = 110*l - 5. Let r be (8\/6)\/(2\/6). Suppose p = -1 + r. Solve l*a = -2*t + 2, t - p*a - 2 + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (1 - 9) - (-7 - -12) - 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 43533672?\nAnswer: 478870392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4 = -4*t, -a + 2*t = -1924. Let b be (-14)\/63 + a\/(-18). What is the common denominator of (b\/(-4))\/(3\/(-2)) and -127\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 79 + 138*c - c - 26 - 24.\nAnswer: 137*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 33. Calculate the greatest common factor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 + 0)*70\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 129\/(-27) - -4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 40*v - 37. Let m be y(-21). Let f = -77 - m. Let l be (-2 - -2)\/(-1 + 3). Is l smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25518584 and 54226991.\nAnswer: 433815928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose -5*g + 395 = -p, -2*p - 277 = -z*g - 47. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 59*c**3 - 3*c**2 + 72. Let s(f) = 58*f**3 - 2*f**2 + 73. Let n = -264 + 266. Let l(o) = n*h(o) - 3*s(o). Find the first derivative of l(u) wrt u.\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108? (a) 2\/7 (b) 1\/2 (c) -39.933 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-26)*(-51)\/(-510)*-65.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 46283 - 6767. What are the prime factors of j?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 7. Suppose 0 = -3*u - 87 - 6. Let r = -29 - u. Calculate the highest common divisor of r and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -19 + (3 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -25 + 225 + -189?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 + 5 = 0, 3*x + 4*b = -586208. Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 8. Calculate d(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1\/30, -2 in ascending order.\nAnswer: -9, -2, -1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3191 - -10?\nAnswer: -3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44714?\nAnswer: 2, 79, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1674957, -3349915, -5024873, -6699831?\n\"Answer: -1674958*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1500 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 2*j + 54*j**2 - 99*j**2 + 55*j**2)*(1 + 0 + 0)*(-3*j**2 + 2*j**2 - 2*j**2).\nAnswer: -30*j**4 + 6*j**3 - 102*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3319*j**4\/4 + 203*j**3 - 3*j - 3927. What is the third derivative of w(a) wrt a?\nAnswer: -19914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 83, 66, 47, 26, 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**20*v)\/v**16 assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986260 is divided by 89624?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.46*1\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 4:43 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = 3*n, 7*d - 41*n + 35 = -45*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.20048 - -1.2. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601875 is divided by 24644.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -80*8\/(-96)*(-24)\/(-32)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -47*l - 9. Let h be z(-6). Suppose 0 = 2*a + a - h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.92 and -2.47.\nAnswer: -44.2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlmmml. What is prob of picking 3 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2) + -3 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*o - 16 = 0, l - 4*o - 8 = -l. Suppose 4*t + c = -0*t + l, 4*c + 18 = t. Calculate the remainder when (196\/20 - 10) + 192\/60 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -24. What is the remainder when w is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2555 divided by 6?\nAnswer: -2555\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 49. Let b(z) = 20*z - n*z + 14*z - 6. Let x(t) = t**3 - 3*t**2 - 3*t + 1. Let i be x(4). Give b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -11\/24*u**4 + 0*u + 1\/60*u**5 + 0 + 2*u**3 + 110*u**2. Calculate y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 3*f - 27, 85*f - 88*f - 38 = 2*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50910297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 - 607416*b + 46119274632 = 0.\nAnswer: 151854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 40 = -70*z + 74*z, 4*z = 2*d - 26 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5, 0.5, 4, -0.03, 3\/64?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3116, 2671, 2226?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = p - 127993777 - 188506212, 3*j = -5*p + 316499969. Suppose 0 = -y + 2*g - 21100004, 5*y + 0*g + j = -g. What is y rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - 2*h)*(4*h - 4*h + 2*h) + ((2 - 2 - h)*(2 + 3 - 4) - 3 + 3 + 2*h)*(13*h + 8*h - 3*h) to n*h + r*h**2 + s and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(1925\/2750*(-10)\/(-42)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1, -1\/9, -3, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.553284nm?\nAnswer: 0.000000004553284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 485 - 483. Suppose -2981*i**3 - 48*i**4 - 4*i**4 + 2813*i**3 - 172*i**t - 58*i + 2*i**5 = 0. Calculate i.\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -688 - -1376. What is the highest common divisor of k and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6138475 plus 0.097?\nAnswer: -6138474.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 7*n**6\/15 + 5*n**3\/6 + n + 11. Let c(m) be the first derivative of u(m). Find the second derivative of c(p) wrt p.\nAnswer: 168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 24. Calculate v(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 501*k**2 - 375*k - 355. Calculate v(126).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**2*y**2 - 2*u**2*y - 1582*u**2 - 30908*u*y**2 wrt u.\nAnswer: -4*y**2 - 4*y - 3164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 1. Let u be 0*(-3)\/(-18)*-2. Suppose -4*d = -5*g + g + 4, -3*g - 2*d - 17 = u. What is p(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 53684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*o + 2*b - 1, 4*o - b = -2. Is -4 - -135 - (o - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 43890176?\nAnswer: 131670528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -8*d**2 + 0 - 3\/8*d**4 - d**3 + 0*d. Differentiate l(g) with respect to g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-20))\/((-5)\/(-20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3 = -27 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24641388 is divided by 5881?\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -10*w - 46 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256424 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-5 + 13 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 29*s**2 - 16*s + 20. Let h be l(28). Let p = -326 + h. Solve -p = 5*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -9, 4\/3, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -103321?\nAnswer: 103311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16*p + p - 16*p. Let k(c) be the second derivative of 0*c**2 - 2*c - 13\/6*c**3 + 0. What is u(k(j))?\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 86 = 3*r, 245*r - 485*r + 237*r - 46 = -4*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r. Suppose r = 2*l + l - 561. What is the highest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*n = -26, 2 = 2*r + r + 5*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 not equal to -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 2:13 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 + 16*l - 16. Let h(z) = 2*z**2 - 5*z + 5. Let t = 110 - 126. Let i(p) = t*h(p) - 5*n(p). Let m(f) = -3*f**2. Calculate m(i(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 + 2*g - 4. Determine l(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*h - 24 = -1333*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 + -3?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1.186.\nAnswer: 2.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.3. Let a = j + -0.2. Sort 0.3, 3, a in increasing order.\nAnswer: a, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584088540.\nAnswer: 2, 3, 5, 7, 137, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.691311 months in millennia?\nAnswer: 0.00205760925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25533 - 25532.35388. Round f to 3 decimal places.\nAnswer: 0.646","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.9456 + 1454.\nAnswer: 1491.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.618324ug?\nAnswer: 0.000000009618324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1669946*a*p**2 - 386*a*p - 50*a + p - 2 wrt p?\nAnswer: -3339892*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 13. Let r be ((-200)\/(-92) + y)*(-3)\/(-12). What is the third biggest value in 1, -4, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10\/42)*(-98370)\/(-15302)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -64. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 27*o - 94*o - 30*o - 32*o + 180*o.\nAnswer: -3*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 h when four letters picked without replacement from {t: 2, h: 6}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2. Let b(s) = 6*s. Let p(h) = -7*h. Let c(n) = -n**3 - n**2 - 2*n - 6. Let d be c(0). Let m(y) = d*b(y) - 5*p(y). Give m(k(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -109178.079 minus -0.2652063?\nAnswer: -109177.8137937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g + 5. Let r be y(0). Let q = 126 + -111. Let t(u) = 4*u**3 - 4*u**2 - 3*u**3 - 5*u - 19 + q. What is t(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 4*t**2 - 4*t + 51. Let d be z(5). Suppose 0 = d*h + 734 - 776. Solve -3*v = -h*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1, -5 = -6*m + 2*m + w. Let q be 1 - (0 - m) - -3. What is the third derivative of -2*u**2 - 2*u**3 + q*u**2 - 2*u**2 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Let w = 6 - v. Let y be 1\/(-1 + 20\/18). Calculate the highest common divisor of w and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 11*p**2 + 49*p - 44. Calculate n(15).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1458723862 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let c(y) be the second derivative of y**4\/3 + y - 16. Give c(p(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3038 - -4366. What is the highest common factor of k and 415?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:29 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 4*z)*(-2 - 1 + 1) + 2*z + 0*z - 5*z + z - z + 2*z - 12*z - 59*z + 19*z.\nAnswer: -57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6401 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 - -0.0186?\nAnswer: 0.1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:25 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1) - (-18 - (-3 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211972 - -1484142\/7. Factor 48\/7*o**4 + 0 + 2\/7*o**5 + z*o + 236\/7*o**3 - 624\/7*o**2.\nAnswer: 2*o*(o - 1)**2*(o + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 35. Let v be (-14)\/h*(-48)\/(-6). Let d be (216\/42)\/2 + (-8)\/v. Solve w = d - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*p + p + 5, -m + 3*p - 10 = 0. Put m, 0, 3, 4 in ascending order.\nAnswer: 0, 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5339*j - 39621. Determine b(7).\nAnswer: -2248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and 0.25.\nAnswer: 9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(480)\/sqrt(10) - (sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9))\/sqrt(3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 - 65 = 0. Let m = -56 + 56. Suppose m = 5*h - 4 - 26. What is the highest common factor of h and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116038 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*l**3 - 104*l**3 + 2 + l - 3*l**4 to n*l**4 + a*l + m + o*l**3 + f*l**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354299 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1331024 (base 5) to base 9\nAnswer: -41045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 6*d. Let c(k) = k**2 - k. Determine 6*c(v) + w(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u + 1. Let w(o) = -o. Let a be 24 + -25 - (-1 - -1). Determine a*x(p) - 5*w(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 9*z**2 - 2*z**2 - 9*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from ssuuuu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((29 - 31)\/(-1)) - (-2)\/6. Let z be 20\/6 - (-2)\/3. Let t = z + -6. Which is the biggest value? (a) t (b) i (c) 3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 7*g + 6. Suppose 20 + 15 = 5*x. Let k be y(x). Suppose k*z + 8 = 2*z. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let o be -3 + (1 - w)\/(-2). Which is the closest to -1? (a) 5 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -435 - -439. Solve -w = -6*n + 10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 18*t**2 + 12*t + 16. Let n be z(-17). Let j = n + -99. Suppose -j*a + 5*a = 37200. What is a rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*m + 144 = -269*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y + 1. Let l(a) = 7*a**2 - 4*a + 2. Suppose c - 5 = -4. Let n be (1 + 2)*(-56)\/42. Let x(p) = c*l(p) + n*k(p). Differentiate x(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 105477012?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 73 - 827. Let o = x + -76. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/3 - 15452*y**3 - 185506*y**2 - 973960*y\/3 - 154600 = 0?\nAnswer: -10, -1, 23190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.248743 + -0.048257. Let s = f - -42.77646. Let p = s - 0.48. Round p to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 3 + 8*u + 2*u**3 - 2051*u**4 + 7\/2*u**2. Let a be b(8). Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/3*6\/(-5). Let z be (-4)\/m + (-998)\/(-6). Round z to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18298540 - 274324241\/15. Let g = a - 51452\/5. Let t = g - -33. Put 3, t, 0.2, -9\/5 in descending order.\nAnswer: 3, 0.2, t, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.01896.\nAnswer: -4.01896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/72 - (-4)\/3. Which is the nearest to 2\/7? (a) 5 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2. Let y be g(1). Let o be 86\/y - (-9)\/18. Let u = 72 + o. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/4 + 2*j**3\/3 - j**2\/2 - 2*j - 2098. Give t(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 3*i**2 - i**2)*(7 + 0 - 9)*(-2 - 2*i + 2 + (0 + 4 - 6)*(-2*i + 0 + 0) + 4*i + i - 3*i + i - 2*i - i + (4 - 4 - 6)*(-7*i - 2*i + 12*i + 1)).\nAnswer: -64*i**3 - 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = l + 3*b, 7 = 2*l - 3*b - 16. Solve -3*j - l = -0*t + t, -5*t - 20 = 3*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*b**3 - 295*b**2 + 30*b = 0 for b.\nAnswer: 0, 3\/28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001417707019 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g = 10. Suppose -g*h = -3*h - 42. Let i be 2\/7 + (-69)\/h. Which is the closest to 2? (a) i (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2966585 - 1?\nAnswer: -2966586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*f = -4386*f + 251438 - 2858 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38267 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 14*z + 16, 5*z + 18 - 43 = -5*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -433.559484 rounded to two dps?\nAnswer: -433.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -11. Solve f - v*f + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 45. Calculate the smallest common multiple of 7 and y(21).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(133) - (sqrt(133) - (sqrt(133) + (sqrt(133)*2 - sqrt(133)))))\/sqrt(7))**2 - (-6*sqrt(19)*-2*-2)**2.\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167.4 and 1976.\nAnswer: 330782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4\/((-120)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 - 224*h**2 = 0.\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 8*a**2 - 91*a + 743. Let t be j(9). Sort t, 35, -1, 9 in ascending order.\nAnswer: -1, t, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.9 times 0.3?\nAnswer: -26.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4 = 10. Let y = w - -11. Suppose -11*m = -y*m + 40. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1881 + -1886 - (1 + (1 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1*16\/(-24). Suppose x - 9 = -s*x. Let b(g) = -1 - 4*g + 2*g**3 - 9*g - 2*g**2 + 16*g - x*g**3. What is b(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844597, 1689179, 2533757, 3378331?\nAnswer: 4222901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5792213 and 327673764.\nAnswer: 2293716348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406 times 36898?\nAnswer: -125674588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -240735 minus 33?\nAnswer: -240768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -84c (base 13) to base 6\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.25 in -0.2, -2, -8, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 200*m - 3234. Give g(16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(187) + 1*sqrt(187)*-3)\/(sqrt(22)\/sqrt(2)*1))**2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 21*i + 17. Let f be b(-10). Solve -1 + f = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(88) - (sqrt(88)*2 + sqrt(88)) - sqrt(88)))\/(sqrt(72)*3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54837 divided by 41?\nAnswer: -54837\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2bd - -ba62?\nAnswer: b794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2794742\/(-45))\/(-2 - (-80)\/39). Let l = i - -1210301. Let j = l - -752. Find the common denominator of 38\/21 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q - 8 + 7 + 18*q + 12*q. Calculate y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -121?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 56*v = 51*v - 25, 4*h + 5*v = 11. Solve 24 - 13 = 2*c - 5*g, h*c - 1 = 3*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdgldbdlebdbblwdd. Give prob of sequence lbbb.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4713?\nAnswer: 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2140, 16, -8 in ascending order.\nAnswer: -8, 16, 2140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(384)*-5)\/(-1*sqrt(72)\/((sqrt(6)*3 + sqrt(6))*-4)).\nAnswer: 640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f. Let w = 10 + -14. Let o(y) = -20*y - 7. Let a(b) = 11*b + 4. Let h(j) = w*o(j) - 7*a(j). Determine z(h(u)).\nAnswer: -51*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 4*q = 0. Which is smaller: -7\/100 or q?\nAnswer: -7\/100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/20)\/(((-30)\/65*-1)\/(-10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/11, 60, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, 15\/11, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/9*-40*(76995\/30)\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, -0.74461, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, -3*x + 65 = 12*k - 8*k. Let u be (5 + -1)*(-2)\/44. Put -5, u, 0.5, x in decreasing order.\nAnswer: x, 0.5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13*o**3 - 2*o - 1. Let j be c(-1). Let p be j + (-1)\/(-4)*0. Suppose 0 = 3*h - p - 1. Calculate the remainder when 14 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18476 + 18547.585. Let c = 72 - o. What is c rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/25, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -14*u - 8. What is the lowest common multiple of 3 and v(-3)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087358533 rounded to 7 decimal places?\nAnswer: 0.0000874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -5 in increasing order.\nAnswer: -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55535349.\nAnswer: 3, 167, 110849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5337 - -11349. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1\/(-5))\/(331\/993).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1895 in -1\/5, 2\/11, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2590, -87 in decreasing order.\nAnswer: 2590, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.257, -1\/3 in increasing order.\nAnswer: -1\/3, 0.257, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = g + 4 - 8, 0 = -2*g - 2*y + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 79, 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + h + 4. Let p be u(0). Suppose l + 7*c - 3*c = 14, p*l + 4 = 4*c. Solve -l*k + 4 = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2. Let q(r) = -129*r**3 + 3*r**2 - 2*r + 3. Let v(p) = q(p) - 3*y(p). Find the second derivative of v(w) wrt w.\nAnswer: -774*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y + 5*y)*(3 - 1 + 6)*(1 + 2 - 1) + 0*y - 2*y + 0*y.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 10*z + 14. Let x be q(10). Suppose x*f + 9 = 15*f. Let d = 61 - f. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.49999879 - -25.5. Round j to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/840 - d**5\/70 - d**4\/14 - 4*d**3\/21 + 10*d**2. Factor w(a).\nAnswer: -(a + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6)*a)**2*a**(-1\/2)\/((((a**(-27)\/a)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = -39. Suppose -f*n + 3*n + 145 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -502 + 310?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 80*m**3 + 74*m**2 - 156*m.\nAnswer: 2*m*(m - 1)*(m + 2)*(m + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100000100110000011 (base 2) in base 11?\nAnswer: 1124a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 12) to base 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*2 + sqrt(95))*-5 - sqrt(95))\/(sqrt(45)*1 + sqrt(45) - sqrt(45) - sqrt(5)) + 1.\nAnswer: -8*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/(3\/36). Suppose -2*q - z = 2 - n, 17 = 3*q - 2*z. Let m(f) = 6*f - 8 - f + f - f**2 + 3*f. Calculate m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 154*l - 156*l + 0 + 0. Let z(t) = -1. Let s(g) = 13*g + 4. Let n(f) = -s(f) - 4*z(f). Determine n(j(m)).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146506.\nAnswer: 2, 17, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9892*g + 59401. What is w(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3728*j - 3739*j = -55. What is the nearest to 11 in 3\/7, j, 7\/2, 0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t + 8. Let m be 148\/10 + t\/5. Suppose 0 = 6*v - v - m. Solve -5 = -3*b + g + 2, -3*b = -v*g + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1685 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2\/23, 1\/2, -2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.7. Let f = -18 + 17.8. What is the second biggest value in l, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {e: 3, n: 2, m: 5, y: 1, o: 1, j: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 442397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-12)*s)\/s*s*s**(13\/3)*s*s)\/((s**7\/s)\/s*s\/(s*s**0*s*s*s)) assuming s is positive.\nAnswer: s**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 32. Suppose 2*q + 4 = -12. Let z be v(q). Is -24 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1\/11, 1.36, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/13)*w*w**(-9)\/w)**(13\/5))**30 assuming w is positive.\nAnswer: w**(-738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-1)\/((-1)\/(-2)) - 93). Suppose -2*v - n + 295 = 0. 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: Express (3 + 2 - 3)*(2*c + 2*c - 2*c - 4) in the form z*c + r and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 k when three letters picked without replacement from {k: 5, v: 7, y: 8}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*k**2 + 183600677*c*k**3 + 6*k**3 - k**2 - 13826*k + 21 with respect to c.\nAnswer: -6*c**2*k**2 + 183600677*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1646 + 2*v**2 - 11*v**2 - v**3 - 1624 + 3*v. Determine t(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*t - 24 = 5, p = t - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.4 (b) -4 (c) 2\/21 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 30, 91, 208, 399?\n\"Answer: 3*k**3 + k**2 - k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h + 2*h + h)*(-2*h + 2 - 2)*(-10 + 1 + 2).\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13332 is divided by 664.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbrjktjcttcjjcjjjjb. What is prob of sequence kjtr?\nAnswer: 3\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 6*q**2 - 7*q + 37. Let r be g(5). Let c = r - -33. Calculate the remainder when 18 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/((-18)\/(-9)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 7*y - 1. Let g be l(5). Suppose 0 = -0*m - m + g. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 16) to base 10\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/6))\/n)**29\/(n*(n\/(n\/(n*n*n**(1\/3))))\/n)**(-43) assuming n is positive.\nAnswer: n**(631\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 253*v + 274*v + 2 + 33*v**2 wrt v?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -61*z + 1016. Calculate the lowest common multiple of 792 and l(8).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.7003 to one dp.\nAnswer: -192.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4)*z)**29)**27 assuming z is positive.\nAnswer: z**(-1566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 0.4, -61?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 22 + 20. Let x = 27 - a. What is the remainder when 59 is divided by x*(5 - (8 - 4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 0*n + 0*n)*(-51*n - 189*n - 69*n).\nAnswer: 309*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 8*c - 11*c + 3*t, -6*c + 30 = 5*t - 3*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8547*k**2*s**2 - 2*k*s**2 - 1630*s**2 wrt k?\nAnswer: 17094*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y + 18. Suppose 7*r + 1984 = 4*p + 3*r, y = -5*r. What are the prime factors of (0 + 1)\/(15\/p)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let i(z) = 1539164*z. Give p(i(t)).\nAnswer: 3078328*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 239*j**3 + 38*j**2 - 24*j + 108. What are the prime factors of d(7)?\nAnswer: 199, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2)*8\/(-240).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c = 55*c - 6*c + 1830 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*p + 2, -5*p - 20 = -2*v - 4. Solve -3 = w + 4*h - 7*h, -v*h = 4*w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 - 7*d + 10. What is p(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1994 - 1919. Calculate the remainder when t is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2496 is divided by 928.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**48\/(i**1)**22 assuming i is positive.\nAnswer: i**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1345242, -1345223, -1345200, -1345173, -1345142?\n\"Answer: 2*y**2 + 13*y - 1345257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 - 13 = -5*a, a - 4*t - 11 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. List the prime factors of 63\/y - 2\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1403\/246 - -593\/41. Find the common denominator of w and 119\/1520.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140370.\nAnswer: 2, 3, 5, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 138930451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*z - 490 = -0*z, -4*z - 628 = -5*g. 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 m(j) = -j**3 + 3*j**2 - 8*j + 682. Give m(11).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggqfgfqgqs. Give prob of picking 1 f and 2 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(95)\/sqrt(80)*6 + -2*(2*sqrt(304))**2).\nAnswer: -6*sqrt(19) + 9728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16874943 minus -7414?\nAnswer: -16867529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 2*r - 3 + r - 3. Determine s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + 3 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5987 = -678*p + 679*p, -b + 3*p + 2983 = 0. Is 136 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -23. What is the greatest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562 take away 0.04?\nAnswer: -1562.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 70. Calculate u(19).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3454984 + -1512333.\nAnswer: 1942651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 4*l**2 - l - 1. Let q be y(3). Suppose -14*n = 3 - 269. Let b = q + n. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 872 - 582. Suppose 52 = -7*x + o. Let u = x + -30. Solve -y = u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-75))\/(38\/(-95)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -20. Let g = p + 9. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089.84 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = -3*k, -59*k = -2*w - 64*k + 20. Solve w = -103*f + 118*f + 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*s - 18, 11 = 2*f + 6*s - 3*s. Find the first derivative of -8*y**2 + 0 - 1 + f*y**2 wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 2490 = -7*z. Let a = z + 1131. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p + 10. Let t be (-25)\/(-9) + 15 + -18. Let i = -19 - -10. Which is the smallest value? (a) t (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2571, -2579, -2593, -2613, -2639, -2671, -2709?\n\"Answer: -3*b**2 + b - 2569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**6 - 268*c**5\/5 - 15*c**2\/2 + 28*c + 2144. What is the second derivative of b(t) wrt t?\nAnswer: 120*t**3 - 3216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2\/7 (c) 1\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 3*t + 1. Let v be c(-1). What is the derivative of 434*y - 866*y - 3*y**v + 430*y - 10 wrt y?\nAnswer: -6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-15))\/((-2)\/(-15)). Let r(b) = b + 10. Let k be r(t). What is the second derivative of -1 + 4 - 2*g**k - 3 - g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.37105 (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/2 - 21. What is the biggest value in 3, 0.6, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18275 times 0.36?\nAnswer: -6579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r**2 - 14*r + 14. Let g(o) = o - 1. Give -14*g(m) - u(m).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 56?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 7. Suppose 0 = -222*z + 208*z + 476. Let a(t) = -98*t**2 + z*t**2 + 66*t**2. Give v(a(l)).\nAnswer: -2*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.93 - 16. Suppose 6*d = 2*d + 16. Suppose -d*o + 15 = -o. Sort -1, y, o in ascending order.\nAnswer: -1, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10088380613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-60)\/(-48) + 38782\/8 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -5*v, 4 = -3*v - 11. Let j be 9 - 3 - 9\/d. Solve -3*n + 6*n = j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 405 - 369. Let n = 171 - 95. Let c = n + s. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-7))\/((-30)\/14 - -2). Suppose -16*s - y = -17*s. Solve -18 = -2*l - 3*l - m, -6 = -s*l + 2*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-15) - (-4)\/(-6). Let n = p - 2. Let d(s) = 4*s**3 + 3*s + 3 + s**3 + 0. Let u(a) = 14*a**3 + 8*a + 8. Determine n*u(c) + 8*d(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(228) - (sqrt(228) + sqrt(228) + sqrt(228)*-2))*-6)\/(-6*sqrt(60)\/(sqrt(5)*-1)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6670918?\nAnswer: 2, 79, 42221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - u)*(-6 + 2 + 3) - u + 0*u + 3*u + 3*u + 0*u + 0*u + (0 + 3 - 1)*(3 - 3 + u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/3 - 449856*h**3 = 0 for h.\nAnswer: 0, 337392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (656\/(-943))\/4*23\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 19. Let u be m(3). Suppose -u*p = -27*p - 42. Suppose -v - 2*b = -82, -4*b - p = 4*v - 390. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 60. Suppose 6*w = w + 135. Let g = w - 17. Calculate the greatest common factor of g and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**0)\/a))**42\/(a**0)**(-2\/59) assuming a is positive.\nAnswer: a**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 4*t + 13. Let m be f(6). Let o be 0 + 3 + -4 + m. Solve 2*d - 5*d = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1. Let t be (-2 + (-30)\/(-9))*-3. Let p(d) = 2*d + 5. Let s(o) = t*g(o) + p(o). Give s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -y + 7*a - 4*a, 157 = 2*y + 5*a. What is the lowest common multiple of 54 and y?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 1285*z - 612290. Calculate o(-370).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1143936, 2287859, 3431776, 4575687?\n\"Answer: -3*y**2 + 1143932*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t**3 + 6 + t - 4*t**3)*(-4*t + 0*t + 5*t).\nAnswer: -2*t**4 + t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1198*q - 18 = -1196*q. Let u(n) = n**2 + 7*n - 18. Determine u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 6. Let k = 0 - -12. Let b be j(k). Let t be -14100003 - (-6 - b\/(-2)). Round t to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458389 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9441229 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 1 (c) -2\/25091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358802414576\/313678599849 + 992878\/1023291. Let v = -298\/967 - h. Let w = v + 32467\/55158. What is the common denominator of w and 89\/12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145431191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/33)*j\/j**(1\/27)*j assuming j is positive.\nAnswer: j**(565\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -24. Let x = -62 + 98. What is the remainder when x is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -239098 and 25375.\nAnswer: -213723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 10*q - 10. Let o be z(8). Let y = 4 - o. Suppose -w + 20*v = 25*v - 25, 0 = -w - 4*v + 20. Put w, -10, y, 2 in ascending order.\nAnswer: -10, y, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16264 divided by -4066.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(6\/11)*w*w*w**6*(w*w\/w**(-1))**(1\/22) assuming w is positive.\nAnswer: w**(191\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200*(-151)\/6040*((-26)\/6)\/((-5)\/(-6)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cucc. What is prob of picking 3 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, q: 1, f: 1}. What is prob of sequence kq?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-45)*(-2 + (-10)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9852139191.79991755 - -9852139414. Let v = x - 3.20000005. Let h = v + -219. What is h rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-8))\/(1\/(-218)*14\/(-84)). What is the highest common factor of 168 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1094*s**3*v**3 + 54*s**3*v**2 + 3*s**3 - 877*s**2*v**3 - 68*s*v**3 wrt s?\nAnswer: -6564*v**3 + 324*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 54312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 1802)\/(-35)*(-7)\/(-21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*m**3*t**3 + 5391*m**3 + 24*m**2*t**2 - 7*m*t**3 - 3*t**3 wrt t.\nAnswer: -576*m**3 - 42*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(0*w + 4*w - 3*w)*(-4 - 1 + 3)*(3 + 1 - 3).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -344*b - 6436. What are the prime factors of l(-107)?\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - p - p)*(2 + 1 - 1) + (-126 - 225 - 24)*(p + 2*p - 4*p) in the form n*p + y and give n.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 187*k**3 - 2*k**2 - k + 2. Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a + 9*a + 166 - 75 + 5*a - 95 + 20*a.\nAnswer: 65*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*v + 7547 + 6753 - 14300.\nAnswer: 559*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31723950 and 750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 11. List the prime factors of (-9*89)\/(-3) - f.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53674084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 27*c - 14. Let k be ((-90)\/(-72))\/((-1)\/(-16)). Let d be p(k). What is the highest common factor of d and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwwtw?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/39)\/(8\/(-60)*-5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyuuu. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760.3187 millennia to centuries.\nAnswer: 7603.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 34*w + 122. Let t be x(10). Let p = t - 362. Calculate the highest common divisor of 175 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*c - 32*c - 96*c.\nAnswer: 178*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205687.\nAnswer: 3, 11, 89, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3)*(-52)\/(-65)*3. List the prime factors of (-2)\/x - (-1618)\/4.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g**3 + 8*g**3 - 55*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3 - 1. Let o = 56 - b. What is the units digit of o + (-4)\/(3 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -161714436?\nAnswer: -161714443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, -0.5, 31 in descending order.\nAnswer: 31, -1\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 27*h - 13 = -p, 0 = -5*h + 4*p - 24. Sort 3, 4, 32, h.\nAnswer: h, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123311 (base 4) in base 15?\nAnswer: -427e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -155*b**2. Let i(f) = -13*f**2. Calculate t(i(o)).\nAnswer: -26195*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107827\/4356 + -4\/1089. Let h = y + -49\/2. What is the third biggest value in h, -3\/4, 9\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*j + 861 + 1314 = 0, 0 = 3*n - 4*j - 3265. Calculate the greatest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20289259881 and 14.\nAnswer: 20289259895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5496 and 20736.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261019 and 6344.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316051.\nAnswer: 316051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2 - 682*j - 4409. What is z(120)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 32)*(-6)\/(-12). What is the highest common factor of 45 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**2 - 10*r**2 + 3*r**5 - 2*r**2 - r**5 + 2*r**2 - 2*r**5 + 4*r**5 - r**5 + (-3*r - 3*r + r)*(-4*r**4 + 2*r**4 + 3*r**4) + 2*r**3 - 2*r**3 - r**5.\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 128147?\nAnswer: -128143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.212 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9591 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840246 greater than 4840241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -11. Is (j - 5) + (-4)\/(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67561\/20 - -3375. Let m = -334\/11 - -467\/44. Find the common denominator of p and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 254812449 or 254812451?\nAnswer: 254812451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w - 125 + 720 = 0. List the prime factors of 15\/w - 8916\/(-21).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-90) + (-14)\/10 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/11 - 236*p**2\/11 - 12640*p\/11 = 0.\nAnswer: -40, 0, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4521740, 9043458, 13565176?\nAnswer: 18086894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11424 by 68.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*y - 3*y - 10 = 0, -4 = -t + 2*y. Suppose 5*z - 3 - 42 = t. Let c(p) = 7 - z - p**2 + 6*p - p. What is c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 434 - 250. Let h = 296 - w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213428 and 3383704?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-17 + 3) + (-648)\/162?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -57.3.\nAnswer: -11.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43\/188 - -1\/47. Let a = -28.89 - -29. What is the third smallest value in a, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.49337 to one dp.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145447 is divided by 664?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15) - 1 - (-4)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7868811546 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 18*h + 54. Solve -91 = -h*s + 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - d + 0 + (2 - 1 + d - 3)*(1 + 2 - 9) + 8*d - 27 + 27.\nAnswer: d + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.022152 and -571.\nAnswer: -571.022152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -0.3 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3223927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -641181 - 3?\nAnswer: -641184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2 (c) -31 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-37 + 75 - 41).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104572931.\nAnswer: 181, 577751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/155618 and 26\/20355.\nAnswer: 137721930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27329, 31828, 36327, 40826, 45325, 49824?\nAnswer: 54323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4352, 4345, 4328, 4295, 4240?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(28) + -4) + 0 + sqrt(7)*-2 + -4.\nAnswer: -6*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -1000, -4\/3, 109, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 7:52 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, b: 6, w: 1, f: 1, p: 8}. What is prob of sequence fw?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 8:14 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.8 + -2.2. Let s = 32 - 13. Let i = s - y. What is the smallest value in i, 4\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 4827105496.66?\nAnswer: -4827105498.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 divided by -342547?\nAnswer: 1383\/342547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15635 and 30?\nAnswer: 93810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 - 12*a**4 + 8*a**4 + 5*a**4 - 154*a**4 + 154*a**4 + 11*a**5 + (a**4 + 0*a + 0*a)*(-a + 3*a - a).\nAnswer: 9*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 - 186. Suppose 0 = -j*y + 9*y + 7698. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -176. Suppose 31 = -y - i, -y - i + j = -3*y. Let v = -29 - y. Put 4, -43, v in ascending order.\nAnswer: -43, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tog when three letters picked without replacement from ogxgtgk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 107*m + 18023. Determine l(-91).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 268\/7*v**2 - 8\/7*v**5 - 36*v**3 + 260\/7*v + 268\/7*v**4 = 0. Calculate v.\nAnswer: -1, 0, 1, 65\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(3\/27). What is the second derivative of x*h**3 - 6*h**3 + h - h**4 - 4*h wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/13 + 49\/39. Let k = -2.6 + 2.4. Which is the nearest to 3? (a) 0 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-32)*-30*-2*12\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(4\/(-24))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-70)*(147\/70)\/(69\/7015)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9.5. Let d = 9 + -19\/2. Which is the biggest value? (a) d (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22265 divided by -4453.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.179 - -1.651. Let m = 1.8008 - i. Round m to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 8. Suppose -1004 = -61*g - 577. What is l(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/128*-4 - (-470)\/(-272) and -38\/153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, v: 1, r: 2, d: 1, m: 2}. Give prob of sequence mv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 4, g: 8}. What is prob of sequence gh?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4002*-0.1.\nAnswer: 0.04002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 447\/3734 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 4*j - 2 - 14*j. Let w(u) = -35*u - 11. Let k(r) = 11*l(r) - 2*w(r). Let h(b) = -10*b**2. What is h(k(g))?\nAnswer: -490*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 23*g - 169. Let y be s(35). Suppose 0 = 38*r - y + 99. Solve -12 = r*w, -3*w - 2*w = 3*u + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 24*y**2 - 59*y - 873. Determine a(-22).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -140, -186, -214, -224, -216?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*m**2 - 29*m?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14302 and 14302?\nAnswer: 14302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 8. Let i be 4*(-4 + 19\/4). Suppose 0*a - i*a - 27 = 0. Is a bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157847743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -2262885\nAnswer: -27154620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h + 12*h + 2*h**2 + 18 - 18*h. Let m be i(-6). What is the greatest common divisor of 88 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 5*r + 2. Suppose u - 3 = 2. Let b be y(u). Let c = 38 + -34. Solve -2*g - 16 = -2*a, -c*a + 37 = -5*g + b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-2)\/7 + 407\/77)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-490)\/20*2\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708 divided by 3?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 - 52354*n + 63991980 = 0.\nAnswer: -27347, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*10\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -406.23 and -522.\nAnswer: 212052.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a2888 (base 12) in base 8?\nAnswer: 20744150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (207*q + 7 - 208*q + 83)*(-1 + 4 + 0 - 1 + 3 - 4 + 4 + 2 - 5 + (-1 + 1 + 2)*(1 + 0 + 1)) as o + p*q and give o.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**3 - 9*n**2\/2 + 8*n - 6452. Calculate g(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 13. Let r be f(-8). Let w be (7 - 5)*r\/2. Find the second derivative of -2*b**3 + 0*b + b - w*b**3 + 2*b wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ififiififiiifiiffifn.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131458493863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 2, 1 in ascending order.\nAnswer: -10, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 + 77*y**2 - 9*y + 4. Let q(i) = -6*i**3 + 89*i**2 - 10*i + 5. Let v(h) = 6*q(h) - 7*t(h). What is v(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, j: 1, i: 1, v: 1, q: 2, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 11 - 41 = 0. Suppose 0*a + 4*j = a - 17, -4*a + j = 7. What is the lowest common multiple of 28 and 9\/d*((-1)\/a - -3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 5 = 5*h + 2*g, 4*h - 2 = -2*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 3 (b) 0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14 = -1. Suppose 0 = -3*v + 2*t + 64, -v - t - w*t + 12 = 0. Solve 0*a = 4*a + 4*l + v, 5*l + 25 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 23 + (-27 - 24)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w - 6. Let s(u) = -8*u + 12 + u - 7 + u. Determine -4*c(x) - 5*s(x).\nAnswer: 4*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 30\/19, -8, -6\/11 in ascending order.\nAnswer: -8, -6\/11, 30\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 7*s - 32*s - 27*s = 680 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:44 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.9339 greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 13*l**2 + 6*l + 10. Let y = 6655 + -6662. Calculate g(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 3, f: 1, d: 5, m: 1}. What is prob of sequence dc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/463965 or 0?\nAnswer: 2\/463965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/32 + 715*r**3\/24 + 357*r**2\/8 - 6856. Factor f(y).\nAnswer: y*(y + 1)*(y + 714)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -546.\nAnswer: -545.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/8 + 13\/8. Put p, -4, 4, -5 in descending order.\nAnswer: 4, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.5, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 53\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*18334.\nAnswer: -1466.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1480 - -1642. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s + 70. Let o be y(5). Let a be (-10 - -1)\/(-3)*1. Suppose -k + a*k - 406 = o. What is the highest common factor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = n + 8, n + 97*z - 201*z - 3 - 4 = -0*n - 100*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1290*s**4 + 881*s - 881*s + (5 + 1 - 4)*(-5*s**2 + s**4 + 5*s**2))*(4 - 5 + 2).\nAnswer: 1292*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-58))\/(1116\/(-3348)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2343 divided by -3.\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 9*q**2 - 15*q - 6. Let i = -63 - -56. Let a be v(i). Let z(h) = 6*h - 1. Give z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 85.27135cm?\nAnswer: 0.8527135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 1 in ascending order.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -329*u**6\/5 - 2785*u**2\/2 + 1720*u. Find the first derivative of g(b) wrt b.\nAnswer: -7896*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, -825, -3216, -6599?\nAnswer: -10974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 6*w + 2. Let c(s) = -s**2 - 1. Let y(v) = 2*c(v) + i(v). Let a be 6\/(2 - 14\/4). What are the prime factors of y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10840208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spps when four letters picked without replacement from {p: 3, o: 2, t: 2, s: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2. Let g be f(-4). Let n be 12\/g*(-46)\/(-6). Which is greater: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 898*v**5 - 551*v**4 - 5*v**2 - 3*v + 21070688?\nAnswer: 17960*v**3 - 6612*v**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + sqrt(500)*-1*5 - sqrt(500)) + 3*(sqrt(500) + 0 - sqrt(500)))**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(132\/11)\/(-12)*8\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**(-2\/131)\/((l*l\/l**0)\/l*l)**(1\/3)*(l**(-1\/6)\/((l*l*l**(-2)*l*l)\/l))\/((l*l**3*l)\/((l*l**(-3))\/l)) assuming l is positive.\nAnswer: l**(-2579\/262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215918741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 136879*b**2 - 3*b\/2 = 0. What is b?\nAnswer: 0, 3\/273758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -479 greater than -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 33 + 280 + 263 = -6*h, 9*h - 5*h = -2*u + 56 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*s = -445*s + 16. Suppose -5*b + 95 = 5*u, -s*b - 3*u = -119 + 43. Calculate the smallest common multiple of b and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1901 + (-2)\/(-5) + (-24)\/(-15). Let n = i - -5749\/3. Calculate the common denominator of n and (93\/36)\/((-10)\/(-16)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 89727, 89729, 89731, 89733, 89735?\n\"Answer: 2*b + 89725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclzdnc. Give prob of picking 1 c, 1 l, 1 d, and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - 2) - (17 + -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 318, -141, 22 in decreasing order.\nAnswer: 318, 22, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*w**3 - 3*d*w**2 - 2*d*w - 172597*d - 7090*w with respect to w.\nAnswer: 6*d*w**2 - 6*d*w - 2*d - 7090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000 + 11010?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5785691 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.1 and -9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + 1*-5*(sqrt(125)*3 + 3 + 0)))**2.\nAnswer: 37500*sqrt(5) + 705625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:30 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2101075 = 2*f + 15398925. Round f to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjw. What is prob of picking 1 w and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3*3*111\/(-12). What is the greatest common divisor of f and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0166447544 to 4 dps.\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 330525480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 4*y - 1. Let d be m(-5). Suppose 0 = 5*c - d + 4. Let o(t) = 762501*t - 8. Let b be o(c). What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14b627 (base 12) to base 11\nAnswer: -220249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 307 - -109. Suppose -u + n = 3*u. Let i = u - 164. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*h - 339 = 0, -3*w = 2*h - h - 209. Let u be w\/7 - (16\/(-14) - -1). Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/100*(1 - (-17)\/(-2)). Which is the second biggest value? (a) 5 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/239448 and 83\/3831168.\nAnswer: 3831168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 401573119 divided by -4?\nAnswer: -401573119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78566116927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45637398?\nAnswer: 2, 3, 845137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 36*k - 25. Let c be j(-11). Let l be ((-3)\/c)\/((-1)\/8). Solve -5*f + 5*m = -45, -21 = -2*f - l*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f\/(f**(-1\/7)\/f)*f*f)\/f)*f*f)**(-7)*f**(-2)*(f*f\/(f**3\/f))\/f)**37)**(-6) assuming f is positive.\nAnswer: f**(-1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + 4*i + 3. Let y = 1097 + -1099. Let x(b) = 2 + 3*b**2 - 2*b + 5*b + 2*b**2 - 4*b**2. Determine y*u(a) + 3*x(a).\nAnswer: -2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 9 + f + 8 - f**2. Let o(v) = 0*v**3 + 6 - 3*v**2 - 2*v**3 - 3 - 2*v. Give 3*g(b) + o(b).\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 18 = 4*v - 0*f, 20 = -7*v - 12*f - 37 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least -37787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4799939?\nAnswer: 23, 181, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = o, 0*w + 2*w + o - 7 = 0. Let a(j) = w*j - 4*j + 0*j. Let d(g) = 118*g - 1. Give d(a(t)).\nAnswer: 236*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 - 4 = 0. Let x(c) = -40*c**3 - c**2 - 2*c - 3. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 242456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 39790 = -5*l, 2*j = l - 0*j - 7970. What are the prime factors of l?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/20)\/(1\/2). Suppose -2*k + 5 = -f*k. List the prime factors of -1 - -1 - (k + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 26.68. Let i = b + 9.78. Round i to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26621730 divided by 206370?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:40 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, s: 5}. Give prob of sequence bsbs.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579203 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317 + -9072412.\nAnswer: -9072729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcch when four letters picked without replacement from {r: 4, b: 1, c: 6, w: 1, h: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (134\/(-201))\/((5\/(-6))\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 590 (b) 318 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = g - 2*l, -2*g + 5 = l - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25039616*p**4 - 239866*p**2 + 22 wrt p?\nAnswer: -600950784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2197 = -79*u + 218*u + 231*u - 21437 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-2\/5)*p)\/p)**(-3\/8)*(p\/(p**(-2\/3)*p))**(1\/39) assuming p is positive.\nAnswer: p**(-341\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*t + 11, 0*t - 1 = r - t. Suppose l - 5*z - 29 = -3*l, r*l - 5*z - 27 = 0. Solve -2*v = -s + 8, 3*s + s = -3*v - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91310 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-65)\/(-78))\/(50\/8). Which is the closest to v? (a) -139 (b) -1 (c) -2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x**5\/3 - 13274*x**4\/3 - 179591*x**3\/3 + 658492*x**2\/3 - 53228*x\/3 - 878048\/3 = 0. Calculate x.\nAnswer: -1193, -184\/11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by 29665.\nAnswer: 152\/29665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/8 (b) -8 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 31*a - 6084. What is the lowest common multiple of 60 and a?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*o = -8 - 2, 0 = 4*b + o - 25. Let a be 1 + (-4)\/b*-3. Suppose h = -0*h + 1. Solve 2*k = a*n + h, n - 6 = 5*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20566033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 2, v: 8, i: 2, r: 6}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -353 * 154.3\nAnswer: -54467.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -56. Let s = 9 + p. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 + 7. Let k(j) = 11*j**2 - 13. Give -5*d(a) - 3*k(a).\nAnswer: -3*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 482 = -2*a, -2*a + 960 = -2*v + 4*v. List the prime factors of v.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.117, -7, 5, -384, -0.3, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1) + 3 + 3. Suppose -2*m + c + 14 = 0, -p*m - 2*c = -5*c - 28. Suppose 15 = m*v - 2*v. Solve 0*s = -v*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -147 + 144 + 1166*o - 8013*o. Let y be n(-1). Suppose -2*f - 1644 = -y. What is f rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1279.6 - -1279.610818. What is p rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15 = g, 7*x + 56 = -4*g + 36. Solve -p + 12 = g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 4, f: 1, o: 2, j: 7}. What is prob of sequence jjs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42\/31 - -2\/93. Let u = -1 + 1. What is the second biggest value in 1, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -256*l**3 + 4*l + 365. Let y(m) = 513*m**3 - 9*m - 732. Let z(h) = 13*d(h) + 6*y(h). Differentiate z(q) with respect to q.\nAnswer: -750*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 3*m - 27. Suppose -b = 4, -2*c + 0*b - 3*b - 36 = 0. Let v be m\/12 - (-18)\/c. Is v != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 17. Give f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/14)*r*r)\/r)\/(r**30*r))\/(r**(1\/4)*r*r**(-5\/3)*r) assuming r is positive.\nAnswer: r**(-2551\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8, -3*s + 2*f + 1765 = -0*s. Suppose -6*y + s = -733. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -30. Suppose a**l + 18*a - 4*a + 80 - 31 = 0. What is a?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -8. Let u = 11 + -21. Let q = u - -5. Sort q, -0.2, z in increasing order.\nAnswer: q, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 32 = -25. Let c = v + -33. 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 60817592.\nAnswer: 2, 11, 691109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q - q**5 + q**5 - 2*q**5 + 0*q**5 + (3*q**4 + 1 - 1)*(-9*q + 97 - 97).\nAnswer: -29*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16313 + 92*c + 8172 - 4*c**4 + 8140 wrt c?\nAnswer: -16*c**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9308*0.1386\nAnswer: 0.12900888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-28))\/(13\/(-12103)). What is the highest common divisor of 84 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56729 by -212.\nAnswer: 56729\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1250, -5, 3 in increasing order.\nAnswer: -1250, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5821631 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 - 2*m**3 - 10*m**3 + 2*m**3 + 6*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 50. Is (477 + 2 + 0)*t\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/8 + 9249*n\/8 + 88407\/4 = 0 for n.\nAnswer: -19, 3102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 439, 1647, 4041, 8017, 13971, 22299?\nAnswer: 33397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1482067505 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a3b4a + -2?\nAnswer: 8a3b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(8\/5)*c**(-2\/33)*(c*c**(1\/4))\/c**(-9) assuming c is positive.\nAnswer: c**(8441\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -23*w - 623. Let u be f(-40). Which is bigger: 298 or u?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g**2 - 2*g - 2. Let t = -190 - -192. Let y(i) = -2*i**3 + 5*i**2 - 5*i - 5. Give t*y(m) - 5*a(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 12 = -18*s - 38*s + 58*s, 0 = 2*s - p - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39235091 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 15594.\nAnswer: -3118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 5*h**2 - 3*h + 11. Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 + 2*d + 12. Let i be k(7). Let w = i + -142. Let j = w + 69. Solve -3*a - 11 = h, -j*h + 15 = -7*h - 5*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 999878455 + 704750165. Let d = 1704628490.99999718 - j. Let y = -129 - d. What is y rounded to 7 decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/147875754 and -95\/156?\nAnswer: 295751508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002833 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and 13\/942.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 5*n + 2*y, 5*n - y - 113 = -6. Suppose -2*t + 70 = -n. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 smaller than -1\/269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -5 (c) 2 (d) 1\/1765 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(-4) + (-2)\/(-8). Let m = -98\/93 - -74\/31. Which is the closest to 2? (a) m (b) -2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 502522?\nAnswer: 502533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23022546 - -23022565.000042. Let y = f + -19. Round y to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/3 (b) 10 (c) -17 (d) 9 (e) 0.5 (f) -12 (g) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73898 = 27*i - 115237. Is i a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - -1551?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3534*d**5 - 2*d**3 - 43925*d**2 wrt d.\nAnswer: -212040*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 2. Let f be (-3 - (1 - 3))*-2. Suppose -4*x - 196 = -2*o, -f*o + 0*o + 190 = -x. What is the remainder when o is divided by b(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 737, 1420, 2091, 2744, 3373, 3972, 4535, 5056?\n\"Answer: -b**3 + 690*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2306*s**2 + 1437*s**6 - 459*s**6 + 1213*s**2 + 1953*s**6 - 1698*s**2 wrt s?\nAnswer: 351720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8718, 17301, 25874, 34437, 42990, 51533?\n\"Answer: -5*g**2 + 8598*g + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 77418.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-352)\/(-110) - (-2)\/(-10)*1. Let v be 12\/(1 + (b - 2)). Put v, 2, -0.4, 3 in descending order.\nAnswer: v, 3, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -64\/5, -3\/2, -2\/9, 776, -1\/20?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 2*j + 3. Let u be l(-6). Let p = 13 - u. Let x = -10 - p. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:51 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/52356 and -43\/80232.\nAnswer: 350052216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 2. Let y be ((30\/8)\/5)\/((-2)\/8). Let k(d) = 3*d**2 + 3. Let f(b) = y*l(b) - 2*k(b). Let q(p) = 5*p**2. Calculate q(f(s)).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5523 divided by 5.\nAnswer: -5523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021157884 to seven dps.\nAnswer: -0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3135 by 3.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 674, 3, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -728 + 7846. What is the least common multiple of j and 2?\nAnswer: 7118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, 0.086 in decreasing order.\nAnswer: 0.086, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 + 141*n - 107. What are the prime factors of y(-21)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1310.0583 - -1310. What is g rounded to 3 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 111.216 nanograms?\nAnswer: 0.000000000000111216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*r = -2*r + 100, 0 = -2*w - 4*r + 104. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-8)\/2946)\/(-4)). Suppose c + d - 301 = -2*d, -5*c + d + n = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.5, -4.\nAnswer: -7, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32207 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (120\/(-5))\/4. Solve -2*s - 4 = -n*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -592 - -610.5. Does 1\/4 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1083, -5, 37, 3, 4, -2, 5 in increasing order.\nAnswer: -1083, -5, -2, 3, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*24\/54*10197\/2266.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 + 6*q + 8 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*m**2 + 121*m**3 - 5*m**2 - 25*m**2 - 432*m**3 + 55*m**2 wrt m.\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 3*f + 70.\nAnswer: -(f - 10)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 227, 525, 953, 1517, 2223, 3077, 4085?\nAnswer: 5253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxuxuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4864 = d, g - 4867 = d - 0*g. Is (d\/6)\/(1 + 10\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*t - 2*s, 4*t = t - s + 17. Suppose k + v = -3 + t, 0 = -k + v. Suppose 0 = -5*q - k*c - c + 65, -2*q = 4*c - 40. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246499980 = -5*a - 2*m + 6*m, -98600005 = -2*a - m. What is a rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -20. Suppose c = 3*v - 7*v - 4. Let r(f) = -3*f**2 - 3*f - 2. Let p be r(-2). Do v and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 + 4 = 0. Let d(w) = -2*w**3 - 38*w**2 + w + 35. Let h be d(-19). Solve -7*f + o*f = -h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8925567.152 rounded to the nearest 100?\nAnswer: -8925600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 + 56*o**2 + 140*o + 88 = 0.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6\/13*i**3 + 0 - 4\/13*i**2 - 2\/13*i**4 + 0*i = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66409707177.799+5\nAnswer: 66409707182.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -245*m + 17 - 10 - 27 - 26. Is w(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48464694\/13 or -3728054?\nAnswer: -3728054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 979*x**2 + 11268*x + 11031379. Determine m(-979).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525*i**2 - 1070*i - 40 = 0. Calculate i.\nAnswer: -2, -4\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 - 2)*((-106781*r + 106781*r + 238*r**2)*(0*r + 2*r + 0*r) + 0*r**3 - 3*r**3 + 2*r**3 + (-r - r + 0*r)*(-3*r + 3*r - 2*r**2) + r**2 - r**2 + r**3).\nAnswer: 4320*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30827\/180 - 862\/5. Let u = m - -8\/9. What is the nearest to -0.1 in 0.06, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 82*u - 51. What are the prime factors of h(9)?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 11*b = 5*b - 165 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-2)\/(-11) - 147\/3773).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 7*o + 8. Let c be n(6). Suppose l - 19 = g, -4*l - c*g - 2*g = -44. Calculate the greatest common divisor of l and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(170) + (-3*sqrt(170) + sqrt(170) + sqrt(170))*5))\/(2*sqrt(90) + sqrt(90) + -4*(sqrt(10)*1 + sqrt(10))) + -1.\nAnswer: -16*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4373325338 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 4*s + 5. Let b be j(-4). Suppose -c = b*m, c = 3*m - 4*m + 4. What is the least common multiple of 7 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 0*h + h)*(222 - 386 + 209) to r + s*h and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -35*k + 51. Let z be f(-6). Calculate the greatest common factor of 696 and z.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29588.\nAnswer: 2, 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 3 - h - 3 + 4 - h**3 - h**2. Suppose 5*k - 3*d - 35 = 2*d, 0 = -4*d + 20. Suppose -k = 3*u + 3*y, -3*u - 12 = -3*y + 4*y. What is c(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.229 or -1?\nAnswer: 0.229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 5\/(20\/8). Let a be 4\/(-10)*(-41 + 1). Suppose a = -4*n, -2*n = d - 0 - y. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/36)\/(20\/16).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 3. Calculate w(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2960513 and -1\/549.\nAnswer: 26644617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8528, -16970, -25412, -33854, -42296?\n\"Answer: -8442*m - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*n + 537 = 0, 3*v = n + 1461 - 894. Sort v, 7, 0 in descending order.\nAnswer: v, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249*o**3 - 6472*o + o**2 + 6474*o + 506*o**3)*(-4 + 2 - 1).\nAnswer: -2265*o**3 - 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -1\/24*u**4 + 3*u**2 + 1\/6*u**3 + 10 + 0*u. Let r(c) be the second derivative of o(c). What is the derivative of r(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*y + 86*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.33 rounded to zero dps?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l. Let m be f(-2). Suppose 0 = -2*b + 6, -3*r + 0*b = 2*b - 18. Suppose r*v + 14 = 174. What is the greatest common factor of m and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10. Suppose x = 3*o - 244731 - 247269. What is o rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37963 + 56428. List the prime factors of r.\nAnswer: 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-66)*-64 + (-6)\/(-33). Solve p - 4 = -3*t, 3*t = 3*p - n*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 5. Let r be n(2). Solve -3*z - r*f + 23 = f, -z - 3*f = -16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 31*s**2 + 101*s + 473. Let g be l(-28). Let w(z) = z**3 - 2*z. Give w(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41697811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5978797335?\nAnswer: 3, 5, 7, 18980309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -420*f - 1625. Determine b(-3).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7944451, -7944460, -7944469, -7944478, -7944487?\n\"Answer: -9*j - 7944442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -4. Let b = -13 - i. Let z(c) = 6*c**2 + 8*c - 10. Let l be z(b). What is l rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 40. Let f(b) = 1684*b + 400. Let u(c) = f(c) - 10*h(c). Let t(d) = -3*d**2. Determine t(u(w)).\nAnswer: -8507568*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 6) + ((-18)\/4)\/(11\/(-22)). Let o = -4 - -7. Solve o*i + 3 + f = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*j**2 + 652 - 652 + 0*j**2 + 0*j**2 + j**2 + (0*j**2 - 4*j**2 + 2*j**2)*(5 + 0 - 4) - 3*j**2 - 3*j**2 + 5*j**2 as o*j**2 + b*j + g and give o.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 3*l - 3*l + l + 0*l - 3*l + (2 - l - 2)*(-1 + 3 - 1) - l + 2*l - 2*l + l - l - 2*l + 4*l + 5*l - 3*l - 2052 + 2052 + 111*l)*(-4 + 4 + 1).\nAnswer: 113*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60504 (base 8) to base 11.\nAnswer: 17787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c58 (base 15) to base 11.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 14. Let c be s(0). Let o = c + 34. Calculate the remainder when 79 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = -2. List the prime factors of (50\/(-8))\/(u\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-5)\/(-30))*(-7)\/(-63)*6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19029 - -12184519705?\nAnswer: 12184538734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3154, -10\/3, 0, -0.2, -2, 0.1 in descending order.\nAnswer: 3154, 0.1, 0, -0.2, -2, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -289*z + 2290. Give o(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/(-8) - -2)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = 5*o + 2, 0 = -3*b - o - 34. Let g(d) = 4*d**2 - 4*d + 46. What is the tens digit of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.66 - 6.66. Which is the nearest to -2\/3? (a) j (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2229, 3\/56, -1, -3\/7 in ascending order.\nAnswer: -2229, -1, -3\/7, 3\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1. Let k(v) = v**3 + 4*v**2 - 7*v - 11. Let m(o) = 5*g(o) - k(o). What is m(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 - 17 = 8*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/8 - (-2)\/8. Let t(a) = 5*a - 1. Let x(p) = -p + 15. Let u be x(17). Let s(q) = q. Let i(m) = u*t(m) + 6*s(m). Give i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -55. What is the remainder when 7 is divided by 3 + -1 - f - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0191 times -16.0498\nAnswer: -0.30655118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30396130*g**2*v**2 - 9753920*g*v**2 wrt g.\nAnswer: -60792260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-3) - 8\/2. Suppose x = p + 3. Solve -f = -2*i + p, 0 = 3*f + 2*i - 9 + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-342)\/19)\/((-45)\/3))\/((-3)\/(-70))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65172405359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**2 + 0*z - z + 30*z**3 - 28*z**3 to r*z**2 + c*z + a*z**3 + j and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.515 and -74545?\nAnswer: 74556.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*(-4)\/80*-4*2*175\/(-20).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let s = -360 + 2521\/7. Put s, v, 2\/7 in ascending order.\nAnswer: s, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/(4 - 27\/6). Let b(v) = -950001*v**2 - v + 2. Let j be b(s). What is j rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2697\nAnswer: 269.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from jjffjjjtjjjejjjjtjj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*u - 27, u - 3 - 4 = w. Let g(r) = -5*r + r**2 + 3*r**3 + 4*r - 2*r**3 + 2*r**2. Determine g(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t + 0*t + (-3*t + 0*t + 4*t)*(-2 + 4 + 0)*((-4 + 2 + 3)*(-5 + 3 + 1) - 274 - 322 + 691)*(-2 + 4 + 11).\nAnswer: 2445*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1063 or 1064?\nAnswer: 1064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -51. Let k(y) = -6*y. Let j be k(s). Solve 4*f + 17 = u, 21 = -5*u - 5*f + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 13 + (-19 - -44).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 198, 403, 608, 813, 1018?\n\"Answer: 205*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -321?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12195, -24409, -36639, -48885?\nAnswer: -61147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = a - 47, -2*a = -p + 6*p - 118. What is the lowest common multiple of p and 26\/(-715)*-11*110?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Suppose 4*n = 16, d - 5*n + 35 - 12 = 0. Let o be (-14)\/(-2) - (2 + 0). Sort d, o, y in descending order.\nAnswer: o, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -12429*p**2 - 2 + 6216*p**2 + 6212*p**2 + 5*p. Suppose 0 = 2*s - 7 - 1. Let j be l(s). Which is the closest to -2\/11? (a) 3 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/1872 and -43\/4770168?\nAnswer: 28621008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*w + 7, -16 = 3*w + 5*x + 3. Suppose 3*p = h + 2 + 2, w*p = 3*h - 16. Solve -4*u - h = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*a*w**4 + a*w**3 - 5*a*w**2 - 2*a*w - 2*w**4 + w**2 wrt w?\nAnswer: -1896*a*w + 6*a - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-371))\/((-1112)\/15568)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = -0. Suppose 0 = -k*x + 5*p - 14, -x + 4*p + 0*p = 14. Suppose -x*q + 3*q - 7 = -t, -2*q = 3*t - 10. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1101.8 + 1101.7. Which is the closest to l? (a) -11 (b) -0.1 (c) 5 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 2450?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in -1, -3, 4045, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuww when four letters picked without replacement from {u: 2, w: 10}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1661\/792)\/((-10)\/(-8) + -2) and 1\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1735.5 + -1753.483. Let j = r - 0.347. What is j rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 2*b + 3. What is k(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -4. Let i = 115.82 - 114.82. Sort l, 0.04, i in descending order.\nAnswer: i, 0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5948765, 11897527, 17846287, 23795045?\nAnswer: 29743801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.0781?\nAnswer: 0.00781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i - 50. Let y be s(-16). Suppose -595 = -3*r - 4*c, 2*c - 435 = -3*r + y. Calculate the remainder when r is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 21. Let b(o) be the second derivative of 0*o**2 + o - 1\/6*o**j + 0. Let t(x) = x**2. Give b(t(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 + 4.27. Let l = 0.16999896 - i. What is l rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544615708 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53278.2 millilitres to litres.\nAnswer: 53.2782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 29*d + 198. Determine i(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 711284.464 rounded to the nearest one hundred?\nAnswer: 711300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 2. Let g be t(2). Let z be 0 - (3 - (7 + -2)). Suppose k + 2 = g*d, z*d + 2 + 0 = k. Solve -4*l - 14 = k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by 571?\nAnswer: -304\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 10 - 7 - 2*b + 2*b to the form w*b**2 + g*b + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 37*b**2 + 6*b + 33. Let s be w(19). Let n(v) = v**2 - 13504*v + s*v. Let u(z) = -4*z**2 + 2. What is u(n(x))?\nAnswer: -4*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 0.2 (c) 4.9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 2*i - 29*i**2 + 3*i + 5*i**2 as v + w*i + b*i**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3265396 is divided by 1335?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.882044 months?\nAnswer: 0.656837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -724*c - 508. Let r(q) be the first derivative of -241*q**2\/2 - 168*q + 186. Let x(n) = -2*i(n) + 7*r(n). What is the derivative of x(p) wrt p?\nAnswer: -239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 5858468?\nAnswer: -5858458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*k + 3*k - 38 = -2*a, -a - k = -12*a + 269 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n + 12*n - n. Let t(l) = 13*l. What is t(v(m))?\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 176.92 and -36.815?\nAnswer: 213.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18616 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 200. Let c = g - 156. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 2284*l**2 - 610*l**2 - 2*l - 4*l**3 + 2894*l**2.\nAnswer: -8*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 11 = 5*p - 5*a, 8 = -2*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 45*w + 285. Let a be j(-8). Let f(d) = -d**2 - 9*d - 22. What is f(a)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + 2*p**2 + 2*p - 2. Suppose 0 = -4*t + 20 - 4, -5*j + t = -286. Let q = j + -60. What is m(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n\/(n\/n**(-2\/9)))**28 assuming n is positive.\nAnswer: n**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44797 and 5?\nAnswer: -223985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + 0 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 8 = 10*q. Suppose 35*n - 36*n + 8 = q. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/20*-4*(-170)\/(-408).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 1768*g**2\/3 + 75899*g\/3 - 74132\/3.\nAnswer: (g - 1724)*(g - 43)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15742890 to the nearest 10000.\nAnswer: -15740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 582, -6192, -3 in descending order.\nAnswer: 582, 1, -3, -6192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543 = -118*f + 109 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207047202?\nAnswer: 2, 3, 31, 1113157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13 - 3)\/5)\/(104\/(-780)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/1 - (-83 - (-27)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**10\/o*o*o*o\/o**4 assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6 = -z - 3*x, 0 = 2*x + 2. Let t(f) = 36*f**2 - 2*f + 1. What is the remainder when t(1) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218970 and 86.\nAnswer: 18831420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 4*a**2 - 6 + (2 - 2 - a)*(0*a - 2*a + 3*a) + (2 - 5 - 3)*(a**2 + 3*a**2 - a**2) + 7*a**2 - 15*a**2 + 52*a**2.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.291079 micrograms?\nAnswer: 0.000005291079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 3*b - 2*b + (-5 + 5 + 16 + (4 - 5 + 4)*(-1 - 1 + 1))*(-2*b - 2*b + 2*b).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 7*b - 4*b - 18, 0 = -3*d - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 10784.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*d - 283*d + 1260 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3068*m**2 + 4829*m**4 + 6*m**5 + 22*m**3 - 12*m**5 - 4831*m**4 wrt m?\nAnswer: -360*m**2 - 48*m + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/((r\/r**(-2\/19))\/r)*r**(-11\/4)*r*(r*r**(-1\/5))\/r assuming r is positive.\nAnswer: r**(-5721\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 + 9 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/(-2) - 3)*108\/(-540).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14219 + -14219.00000003346. Round w to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-17 - (10 + -17))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + 6*69\/115?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4137056l to millilitres.\nAnswer: 413.7056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110790 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14363 is divided by 2870.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 214303441 (base 5) to base 16\nAnswer: e37a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5032 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 13135.\nAnswer: -36\/13135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5743 - 7.5128. Let s = x + -0.0615. Which is bigger: -0.061 or s?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*u + 125 - 812, 0 = -5*p - 4*u + 703. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 1605788082.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/2)*i))**(-22\/9)\/(i**(3\/5))**(2\/63) assuming i is positive.\nAnswer: i**(-391\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/11, 0.1.\nAnswer: -1\/11, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*m**2 + 2*m**2 + 3*m**2)*(-2*m - 4 + 4) - 12*m**3 + 6 - 6)*(-2 - 3 + 3).\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -502*g + 3034. Calculate the remainder when 1727 is divided by t(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 107, 89, 87, 107, 155, 237, 359?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 363 - 358. Let s be (a\/2 + 0 + -2)*6. Solve -2*i = s*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 804631 - -100.\nAnswer: 804731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -156664 and -12.\nAnswer: 1879968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from ovvlwlfwuulll.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-11))\/(q*q\/(q**(7\/2)\/q*q)))\/(q\/(q*q**(-1)))**(-36) assuming q is positive.\nAnswer: q**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7 = -2*k + 3*m, 5*m - 7 = -k. Suppose -633 = -k*l - l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knmmt. Give prob of sequence nmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47901 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987 - 947 = 10*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -968*h**4 + 256*h**2 - 5*h. Let y(r) = 3*r**4 - r**2 + r. Let z(p) = m(p) + 5*y(p). Find the third derivative of z(s) wrt s.\nAnswer: -22872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*k**2 - k - 3\/2 = 0. Calculate k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2\/(-12) + 32856\/144?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29776 + 29776 - 182*n.\nAnswer: -182*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13119152328 and 2.32?\nAnswer: 13119152325.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1721 and -255.\nAnswer: 438855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, p: 1, i: 1, q: 9}. What is prob of picking 1 g and 1 p?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 7*b + 10*b - 3 = 0, 2*m - b - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -135185\/739 less than or equal to -182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 21450124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 9*b - 2. Let r be o(7). Let q be (-61)\/(-12) + (-1)\/(16\/r). Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3600 + 7330 - 2*t - 3730.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 270150 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -467, -981, -1667, -2513, -3507?\nAnswer: -4637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/310 and 61\/1165?\nAnswer: 72230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/35 + 1074\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 1. Let b(c) = -2*c + 1. Let u be (-21)\/9 - 4\/(-3). Let q be (40\/(-8))\/((-1)\/u). Calculate q*b(s) + 3*x(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96348 and 1488.\nAnswer: 385392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261.459 + 256.459. Let g = -0.1 + -4.9. Which is the closest to g? (a) w (b) 20 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 308 - x + 13*x - 4*x - 959.\nAnswer: 4*x - 1267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 5. Suppose b*i + 5*q - 30 = 0, 0*q = -2*q + 2. Let y be 2\/(-12)*3\/(-4). What is the closest to 0.1 in y, 0.3, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 24 - (39 - 27).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = 2*u. Let y = -5 - -3. Let n = u + y. Sort 3\/7, 2\/11, n.\nAnswer: n, 2\/11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 160375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n + 3228 + 1396 = 0 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 1\/2*v**3 + 0*v + 0*v**6 + 0 + 0*v**5 + 0*v**4 + 20*v**2 - 1\/15*v**7. Find the first derivative of c(w) wrt w.\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 29*u**2 + 21*u + 105. Give b(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230012132 - -1?\nAnswer: -230012131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 5. Let o(d) = d**2 - d. Let k(u) = u**2 + 4*u + 5. Let v(a) = t*o(a) + k(a). Calculate v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1086 - 253. List the prime factors of x.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202.6 - 165. What is g rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/218 and -71\/6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 58 = 43*j. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1506, -1529, -1590, -1707, -1898, -2181?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-9)\/h*h)\/h*h**(-18))**(-1\/36) assuming h is positive.\nAnswer: h**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -581308 divided by 22358\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 20*r**3 + 2*r**2 - 4*r - 1. Let n(t) be the first derivative of t - 9. Let k(c) = 4*n(c) + x(c). Is k(2) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 * 0.1\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -57642445 (base 8) in base 15?\nAnswer: -117916c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 40*t - 42*t + 8 = 0, 3*m = -5*t + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 7, z: 1, c: 5}. Give prob of sequence pvz.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {z: 2, r: 6, g: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1993*l - 106*l**5 - 1993*l + 146*l**2 wrt l.\nAnswer: -6360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) + (-1440)\/27. What is the common denominator of (-2)\/48*63\/14 and 1\/5*15\/g*61?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5, -40, 312 in ascending order.\nAnswer: -40, -25, -5, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105732109.\nAnswer: 7, 503, 30029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4 + 11)*(-3*f**2 + 3*f**2 - 22*f**3) to the form o + b*f**2 + n*f**3 + p*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*y**2 - 118*y**2 - 363*y**2 as w*y + o*y**2 + n and give o.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1845714182 to the nearest integer?\nAnswer: 42962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(25\/(-15) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o. Let a(z) = 10*z + 3. Determine a(i(r)).\nAnswer: 90*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utggt. What is prob of picking 2 g and 2 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*t**2*z**2 + 126*t**2 - 1010*t - 51987*z**3 - 2 wrt z.\nAnswer: -20*t**2*z - 155961*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2970 - 2965. Which is the nearest to 0.1? (a) 0.2 (b) 22 (c) i (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 u when four letters picked without replacement from ubbuubbubbb?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103.383 + 2.517. Let q = h + -106. Which is the closest to 1? (a) -77 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-1\/57)*o**(-1\/3)*o**(-2\/7) assuming o is positive.\nAnswer: o**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1839*c + c**2 + 1839*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcwww. What is prob of picking 2 w and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.54, -1\/3, 2\/9, -2\/13, 1\/9, -0.2?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let j(p) = -p**3 - 2*p**2 - 4*p - 2. Let d be j(-3). Let r(v) = -141*v + 141*v - d*v**2. Calculate o(r(g)).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 3 - 3 + 0*i + 0*i - 8*i + (-3 - 1 + 3)*(-i + 0*i - i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16633682935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1102 divide 690173641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135528 + 25750237\/190. Let n = 9150177\/20 - 457510. Find the common denominator of n and x.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -470*c**2 + 735*c**2 + 146 - 230*c**2 to the form a + v*c + i*c**2 and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001576470924 to 6 decimal places.\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -5, -2, -106?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 139*v**2 + 4*v + 192. Give z(-139).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*n**3*u - 147968*n**3 + 5*n**2*u + 14*u wrt u?\nAnswer: 50*n**3 + 5*n**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*x - 140*x + r - 48 = 0, 4*r = 4*x - 28 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 805089366 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/72 and 89\/480996?\nAnswer: 961992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/17)\/((-1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 - x + 14 - 10.\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/(g*(g\/(g**2\/g))\/g))**48 assuming g is positive.\nAnswer: g**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -114, -158, -184, -186?\n\"Answer: l**3 - 63*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - c + 226, -j - c = 3*j - 300. Suppose -3*k = -3, -5*y + 4*k = -4*y - j. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91559.9 rounded to the nearest one hundred?\nAnswer: 91600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -5. Let r be ((-3)\/6)\/(z\/(-4)). What is the common denominator of -43\/12 and (1 - 0)*r\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 1. Let g be h(-1). Let d(c) = -3*c + 48. Let r be (2\/5 - 2)\/((-27)\/270). Let q be d(r). Solve q = j - 3*s - g*s, -j = s + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 49*j - 43 = -42*j, 0 = 3*t - j - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 3791230.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/23 + -535\/46. Which is greater: k or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(((x\/((x*x*x**(-1\/16))\/x))\/x)\/x*x)*x\/((x\/(x**(-3\/13)*x))\/x)*x*x*x*x**(-13\/6)*x\/(x\/x**(-5\/4))*x assuming x is positive.\nAnswer: x**(2677\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 23*z**5\/5 + z**4\/12 - z**3\/6 + z**2\/2 + 4*z. Let w be (-1 - -2)\/(8\/8). What is the tens digit of b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/396)\/((-1)\/(-31)) + -3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -36. Let h be q\/7 + -4 + 32\/7. Sort h, -3, -53, 5 in descending order.\nAnswer: 5, h, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 754377.\nAnswer: -11\/754377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + u**2 + 0*u)*(3 - 2 + 0) + 2*u**2 + 2*u**2 - 2*u**2 + 3*u**2 - 2 + 2)*(13*u - 43*u - 15*u).\nAnswer: -270*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaa when three letters picked without replacement from lmumllyaulalamzaaaaa.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -0.02, -276, 73 in decreasing order.\nAnswer: 73, 2, -0.02, -0.5, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 23*b - 3. Let w(t) = t + 3. Let n be w(2). Is q(n) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.07 to one decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from bznezunbzenvzvbbznzz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -97139*((15\/(-21) - -1) + 99\/(-231))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*z - 2, -v + 6*z - z = -2. Let x = 10 + v. Let f = -8 + x. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0359*-5\nAnswer: 0.1795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1.2331?\nAnswer: -0.49324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 35 + 7. Suppose -4*p - 2 = 5*d + n, 0 = -5*p - 4*d - 9. Sort 3, p, 1, -4 in decreasing order.\nAnswer: 3, 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 3. Let a be 1 - 2\/(-4)*4. Let x be t(a). Let s be x\/(-8)*(-3)\/9. Sort 2\/17, s, 5 in increasing order.\nAnswer: 2\/17, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -2 - 24) + (1 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 0*p**3 - 2*p**3)*(p**2 - p**2 - 2*p**2) + (p**4 + 0*p**4 + p**4)*(-2*p + 4 - 4) - 2819*p**5 + 5717*p**5 + 2793*p**5 + 3679*p**5.\nAnswer: 9362*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/56)\/(-16)*21\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33750 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 10*n - 7. Let j be b(9). Solve d - 24 = 5*h, -h + 0*d + 4 = j*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 8 - 9*y**2 + 35*y**2 - 6*y**2 - 13*y**2 + 2*y. Suppose p - m = -3, 5*p + 2*m + 6 = 4*m. What is the remainder when 55 is divided by t(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - 149 - 7 + 6 + 37 - q.\nAnswer: 14*q**2 - q - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 31. Suppose -7*q + 12 = -v*q. Suppose 930 = q*m + 2*m - w, 0 = -3*w + 15. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**8\/90720 - q**7\/11340 + q**6\/3240 + q**5\/15 - q**2. Let y(f) be the third derivative of p(f). Find a, given that y(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 divided by 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/2 - 2*j**3 - 5*j**2\/2 - j + 7048. Let k(n) = -5*n**3 + 12*n**2 + 11*n + 3. What is 3*k(s) + 7*y(s)?\nAnswer: -s**3 - 6*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - 4 - (-2 - -10 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6339 + -6340. Which is smaller: -182\/223 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190307273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - -46.21. Let b = -60626.5 - -60627. What is the third smallest value in b, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16446643669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/3885 and -109\/21484050?\nAnswer: 21484050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3 - 3*y + y**2 + 0*y + 7. Let z be h(3). Let p = 16 + z. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0.03, -6\/149 in increasing order.\nAnswer: -1, -6\/149, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 248.2 and -479.1.\nAnswer: -118912.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**4 - 9042995*g**3 + 4088855750120*g**2 - 61330801594800*g = 0. Calculate g.\nAnswer: 0, 15, 904292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 + 12*y**2 - 11. Let x(m) be the second derivative of m**4\/12 - m**2\/2 + 247*m. What is -2*c(u) + 22*x(u)?\nAnswer: -8*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39071, -39095, -39129, -39173?\nAnswer: -39227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33721089 and 3849.\nAnswer: 3849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110923520 + 2994340625\/27. Let q = -22018 - d. Let w = 2882 - 17225\/6. Calculate the common denominator of q and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131 or 3301?\nAnswer: 3301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*c - 5 + 136*c + 15*c**2 + 5 as w*c + p*c**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 + 15*l - 127. Let n be y(3). Which is the third smallest value? (a) 3\/2 (b) 5 (c) -11 (d) n (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Suppose -3*y = 3 - 0, z = -4*j - y. Are j and -2\/41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c593 - -5?\nAnswer: c598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 934 + -333. Suppose -3*u - 3*h = -3501, -5*h - 578 - o = -u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 3, m: 2, z: 4, b: 3, y: 6}. Give prob of picking 1 w, 1 m, and 1 q.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -240994515 less than 3?\nAnswer: 240994518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -104042?\nAnswer: -104032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1468591244 < -1468591244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 2464*h**3 - 758912*h**2.\nAnswer: -2*h**2*(h + 616)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g + 1. Let o be u(-2). Let f(h) = -h + 2. Let d be f(2). Let i = 0.35 + -0.05. Which is the closest to d? (a) o (b) 3\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {k: 4, s: 3, a: 1, e: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -21*w**2 - w**2 + 20*w**2. Let n(x) = 343*x**2. Calculate n(y(q)).\nAnswer: 1372*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + 116. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -95, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 16. What is the least common multiple of 30 and w?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8101*h - 3*h**2 - 2956 + 8101*h.\nAnswer: -3*h**2 - 2956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-175)*5)\/((-2)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*j - 15*j + 48*j**2 + 7*j)*(15 - j - 15) to u + o*j**2 + n*j + h*j**3 and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56146419139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - (-64)\/78. Suppose 2*m + 26 = 20. Let w be (6 + -7)\/(12\/m + 3). Is b greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219606 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, -41.\nAnswer: -41, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + ((5 + sqrt(1584) + -3 - sqrt(1584)) + sqrt(1584))**2)) + (2*(sqrt(1584) + -1) + sqrt(1584))**2.\nAnswer: -192*sqrt(11) + 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 4*p - 11*p)*(3 - 3 + p)*(35 + 0 - 16).\nAnswer: -190*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -5*p + 3, -8*j + 16*j - 10*p = 10*j - 148 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 3*v = 34*x + 12, -4*v + 3 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.2. Suppose 1 + 6 = -2*g - x, 2*x = 3*g. What is the nearest to p in 10, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5724 - 5719. Solve -n = -3*a - t, 89 = a - 3*n + 104 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2377, -1.12, -242.\nAnswer: -242, -1.12, 2377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -0.3.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468942.8056 + -0.4?\nAnswer: -1468943.2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (79\/24*3)\/(-5) and (-93)\/30*3\/(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 x when four letters picked without replacement from xxxxxxxxxxxxxxxxxxxn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*p + 543*p - 1094*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161*b**4 - 1053*b**2*l + 204*l + 340 wrt b?\nAnswer: 644*b**3 - 2106*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/360*h**5 + 6*h - 7*h**2 + 0 + 1\/144*h**4 + 1\/18*h**3. Solve t(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzwpzfzpzf. What is prob of picking 1 z and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-9)\/12)\/((-3)\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3 = 18793*c - 18798*c, 5*c = d + 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*r**3 + 33*b*r**2 - 2541*b*r + 2951871*b - 3*r wrt r.\nAnswer: 3*b*r**2 + 66*b*r - 2541*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01636 + 43.98364. Are a and 51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 4. Let a be s(-10). Let h = -11 - a. Suppose h*b + q = 639, -5*b + 623 = -0*b - 3*q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 1\/2*q**3 - 3\/20*q**5 + 31\/12*q**4 - 25*q - 49\/2*q**2 - 1. Find the second derivative of f(j) wrt j.\nAnswer: -18*j + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 5. Suppose 0 = c + c - 3*t - 1756136, 3*t = -p. Let r = 328062 - c. What is r rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) 2 (c) 0.08 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 328733236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/12 - 4*o**3\/3 - 15*o**2 - 41*o. Let a be t(11). What is r in 0*r**2 - 2\/7*r**5 + 0*r**4 + 2\/7*r**a + 0*r + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 1021, 1507?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1668, 1542, 1494, 1518, 1608, 1758, 1962?\nAnswer: 2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**5 - 6*y**5 + 4*y**5 + 8*y**2 wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + z + 201, -220*z = -4*y - 223*z + 294. Calculate the remainder when 1921 is divided by y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 2. Let z = -10 + 9. Let w be s(z). Factor 2*u + w*u**3 - 2*u**2 - 2*u - 6*u**3.\nAnswer: 2*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*j**3 + 4*j - 4*j + (-j**2 - 4*j**2 + 3*j**2)*(2 - 2 - 2*j) + 15*j**3 - 9*j**3 + 4*j**3 - 5*j**3 + j**3 + j**3.\nAnswer: 13*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 38864.13 hours?\nAnswer: 139910868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*x**3 + 4*x**2 - x - 2*x**2 - 3*x**2 - 9*x**3 in the form p*x**2 + s + r*x + z*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441.4 + 441. Let s = -2.2 - -2. Which is the fourth biggest value? (a) 0.5 (b) j (c) s (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2531 + 2527. Put 2, c, -647 in increasing order.\nAnswer: -647, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-315)\/322)*(16\/(-6))\/((-2000)\/3750)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*c - 2*v + 6*v, -5*c + 174 = 2*v. Let r be -16*1 + 1 + 0. Let m = c + r. What is the remainder when 49 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -21, -4, 17, 4 in ascending order.\nAnswer: -21, -4, 4, 17, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 13. Let n be z(-11). Suppose -n*s + 2*j = -3*j + 4, s + 4*j = 11. Suppose 5*m = s + 7. Solve 0 = -3*p + m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505280 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(156) + sqrt(156)*1*-5 - sqrt(156))\/(sqrt(1200) + (sqrt(1200)*1 - sqrt(1200)))*5)**2*-2.\nAnswer: -341\/2 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -13) + 3 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:08 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030141 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 12850.\nAnswer: 25700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 5*q + 4. Let x be d(5). Let h be 177\/(2\/(0 + x)). Let n = -208 + h. What are the prime factors of n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -v - 3*p, 4*v - 4*p - 8 = 0. Let m(z) = 3*z + 161 - 156 + z**v - 11*z. What is m(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1476319 and 70993?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 2. Let u be l(-3). Let h be (-34 + u)*2\/(-3). Calculate the highest common divisor of 110 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 25?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16)\/v**(10\/7))\/(v**(-10)\/v*(v**(-1)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1521696 divided by 131\nAnswer: 11616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1801\nAnswer: 900.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j - 13*j**3 + 4*j**3 - 6*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 199927357 and -1.7358.\nAnswer: 199927355.2642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (134\/13)\/(1008\/(-8)). Let z = s + 4\/117. Is 0 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 18*i**4 + 15*i**3 - 6*i**2 - 15*i + 3. Let c(b) = b**4 + b**3 - b. Let f(w) = -15*c(w) + y(w). Suppose f(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*w - 0*h + 69, 16 = w - 2*h. Suppose 0 = -2*a - 5*r - w, 4*a + 0*a - 4*r = 28. Solve -a*p = -0 + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 16*n**2 - 8*n + 10. Let p be t(4). Suppose 5*r = w - 47, 0*r = 3*w - 3*r - 153. What is the greatest common divisor of p and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297245 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57470323.8 rounded to the nearest 1000?\nAnswer: -57470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7 - 3*u + 1 + 2*u. Let m = -556 - -549. Let s be z(m). Solve 2*p - s + 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -1\/8, -270, -1\/3, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194 times 10?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 4*p**5\/45 + 5*p**4\/18 + 8*p**3\/27 + p**2\/9 + 33. Solve g(t) = 0 for t.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b + 100?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 + 4*q + 2. Determine b(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 14 = -4. Let v(l) be the second derivative of 5*l**4\/12 + l**3\/3 + l**2\/2 + l. Determine v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8601075*f**4*j**2 - f*j**2 - 7*f*j + 203*f + 27*j**2 + 2 wrt f?\nAnswer: 103212900*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (410\/(-41))\/(((-12)\/252)\/(6\/(-28)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l + 13. Let b(d) = -d**2 - 12*d + 18. Calculate the remainder when 19 is divided by b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 + 315 - (17 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -0.3, 13, -0.6, 1.4, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -252, 2\/7, 1, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 5. Suppose -2*h = a + 62, a + 4*a - 119 = 3*h. Let n be (-4)\/(-6)*h\/(-11). Let w be y(n). Solve 2*q = w + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 925*x - 203595. Calculate r(361).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-40)*((-48)\/(-112) - (-172)\/7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/12 + 2*g**3 - 5*g**2\/2 - 16*g + 1. Calculate w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 7*z**5\/60 + 34*z**2 + 30*z - 1. Let p(w) be the first derivative of j(w). Let k(s) = 4*s**2. What is p(k(r))?\nAnswer: 112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 36413515?\nAnswer: 36413512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r)\/(r\/(r**(6\/7)\/r)))\/(r*r**0*r)**(-5) assuming r is positive.\nAnswer: r**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -173 and -39164239.\nAnswer: -39164412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 c when three letters picked without replacement from {m: 1, l: 1, y: 1, c: 5, e: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 96 = -10*y. What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 16. Let f(h) = h**2 - 2*h + 3. What is the smallest common multiple of q and f(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 1. Let v(t) = 2*t**2 + 2*t - 5. Determine -5*r(k) + v(k).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001266272 rounded to 7 decimal places?\nAnswer: -0.0001266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1065 = -t + 2730. Is ((-2)\/(-6))\/(5\/t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -13027.95066?\nAnswer: 13028.05066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 17878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7785*x + 6169?\nAnswer: -7785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 1. Let s be (-5 + 4)*(5 + 1). Calculate c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.57 - -0.4. Let k = 0.08 + m. Round k to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/6627 + -642767\/172302. Suppose 3*l + 2*l + 250 = 0. What is the common denominator of l\/(-44) + -2 + -3 and o?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 50*p + 385. What is a(26)?\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 20 = -3*l, 4*o - 4*l = 20. Let j be 13\/4 - (-5)\/(-20). Suppose -d + 7 = -3*w, -2 = j*w - 2*d - 0*d. Sort w, 3, o.\nAnswer: w, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-5 - 216423\/(-6255).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*t + 7 = 3*t, 0 = -5*p + 3*t - 14. Let o = -3 + p. Let h(a) = 2*a**2 + 3*a + 6. What are the prime factors of h(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1296 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*y + 20, 4*y + 151 = -2*j + 161 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -206673439?\nAnswer: -620020317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3)*-3 - sqrt(84)\/sqrt(588).\nAnswer: -9 - 22*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17\/a)\/(a**3*a*a*a) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1379 - -1375. Which is the closest to 0? (a) 0.4 (b) 2\/3 (c) 7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {s: 1, d: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242 (base 9) to base 4.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/4))\/a)**(19\/2)\/(a**(-5\/4)\/((((a*a**(-2\/15))\/a)\/a)\/a))*a\/a**(-8)*a*a**0*(((((a**2\/a)\/a)\/a)\/a)\/a*a)**(1\/20) assuming a is positive.\nAnswer: a**(1367\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/8)\/((-2)\/17772). Suppose -2*d + 3*b = -0*b + 2221, -3*b - 1133 = d. Let w = d - m. Calculate the common denominator of w and -101\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-3*2)\/(-3*sqrt(11)*5).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + h - 1. Let k(y) = 3*y**3 - 2*y**2 + 2*y - 1. Let l be 4\/(-3)*42\/4. Let v be (-3)\/(-21) + 30\/l. What is v*a(f) + k(f)?\nAnswer: 3*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -90*x**3 - 10*x**2 - 17*x - 2. Is i(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950331074 to the power of 1\/2, to the nearest integer?\nAnswer: 70359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(3 - (-1 - 0)). Let w = -375\/4 + 68911\/740. Let z = w + 1\/37. Which is the nearest to -0.1? (a) d (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106006407 to the nearest integer?\nAnswer: 10296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-116)\/(-87))\/(4\/(-6)). Let s be (-2)\/(u + 1) - -2. Sort 1, -1\/9, 2, s in increasing order.\nAnswer: -1\/9, 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -36\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 461*k**3 + 212*k - 213. Calculate f(1).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -74 and -4570\/63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38548386 and 1490?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071486 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z + 6*z + 9*z + 3 - 3 + 2*z - 2*z + 5 - 5 - 3*z + z + 0*z + (-3 + 4 + 0)*(0 + 0 + z) + 4*z - 6*z + 0*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*o = -18*o + 4180. Let f be 4 - (5 - o\/(-68)). What is z in 2\/17*z**4 - 6\/17*z**3 + 6\/17*z + f*z**2 - 4\/17 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + 7*n**2 + 7*n - 7. Let p(d) = -d**2 - d + 1. Let i(h) = 6*m(h) + 42*p(h). Let w be i(-1). Solve 7*v - 3*v + 5*x + w = 0, 5*x = -10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5)\/(1\/14*-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24360 and 29290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.2 + -12.3. What is the fourth smallest value in 1, -1\/4, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 8*h**2 + 9. Suppose 39 - 7 = -8*u. Let m be v(u). Find the third derivative of -3*b**2 + m*b**5 - b**2 + 8*b**2 + 9*b**2 wrt b.\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0 (base 13) in base 10?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1377 (b) 1.5 (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -176 - 2454040?\nAnswer: -2454236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 6\/18. Let p = 60 + -239\/4. Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -0.4, 3\/4, -1, 0.3 in increasing order.\nAnswer: -1, -0.4, 0.3, 3\/4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2014, 4458, 7154, 10102, 13302, 16754, 20458?\n\"Answer: 126*l**2 + 2066*l - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1.1, 0.5, -1\/2, -0.228?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b - 140. Solve b = -4*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -121?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 8. What is the nearest to 0.02 in -2\/15, r, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -197, 17, 5, -19, 2, -33 in descending order.\nAnswer: 17, 5, 2, -1, -19, -33, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3 - 4*k**2 - 484*k - 2247951 wrt k?\nAnswer: -3*k**2 - 8*k - 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*54\/(-945))\/((-4)\/(-8)*20\/25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462222?\nAnswer: 2, 3, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317\/4 + -1539\/20. Let s be (-2654)\/(-164) + -3 + 6. Let a = s + 13\/41. Calculate the common denominator of p and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 709*i + 1059. Let l(c) = 5*c**2 - 710*c + 1065. Let j(h) = 5*f(h) - 4*l(h). Factor j(p).\nAnswer: 5*(p - 69)*(2*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 + 206*f**2 + 1\/2*f**3 + 1\/6*f**4 - 7\/60*f**5 + 0*f. Let h(b) = 0. What is b?\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*d**4 - 178*d**3*m + 7*d**2*m + 37*d**2 - d + m wrt d.\nAnswer: 456*d - 1068*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3665131\/42 + 87261. Calculate the common denominator of m and -53\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3863*n**3 + 39. Let p(m) = -1931*m**3 + 18. Calculate -6*l(u) + 13*p(u).\nAnswer: -1925*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -0.22, -2\/719?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*p - 39692, 123*o - 66172 = -5*p + 127*o. List the prime factors of p.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 - 0.7005. Round m to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -207.33.\nAnswer: 8500.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10466569\/11 - -952171. Let t = k + -664. Factor -24\/11*z - 18\/11*z**2 - t.\nAnswer: -2*(3*z + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 183*v = 164*v + 57 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 2:57 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/5 + 744366*j**2\/5 - 13851944112*j - 69260464928\/5 = 0.\nAnswer: -1, 186092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**2. Let m(x) = 10*x**2 + 7. Let g(l) = 7*l**2 + 5. Let k(o) = 7*g(o) - 5*m(o). Determine k(b(z)).\nAnswer: -121*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s**2 - 11*s + 17. Let j(a) = -5*a**2 - 6*a + 11. What is 11*j(d) - 6*t(d)?\nAnswer: -d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 54*q - 297068 = 0. What are the prime factors of q?\nAnswer: 2, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 60 = -3*p. Let x be (-15)\/20 + 11\/p. Let s(n) = -12*n + n + 9*n - 2 + n**x + 3*n. Calculate s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1379 - 0.0121. Which is the second smallest value? (a) -2\/15 (b) -2 (c) 3\/7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Suppose -2*r - 4*j - 12 = 0, q*r + 1 = 4*j + 25. Let w(a) = 2*a + 7*a**r - 2*a. Let d(c) = c**2. What is w(d(u))?\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -1 (c) 6230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 62 - 50 = o, -4*z - 18 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from zzszszzs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -536, -1137, -2000, -3137?\nAnswer: -4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -201, -430, -751, -1164, -1669, -2266?\n\"Answer: -46*j**2 + j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 972b (base 13) to base 5\nAnswer: 1132433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytyyywtccyyyytywywy. What is prob of sequence ct?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:26 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/((-9)\/(-36)). Let a = -2 - -3. What is the units digit of k\/a - (-9 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 353592.\nAnswer: 17679.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 = 2*d + 28, 4 = -l - 4*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/326052 and 107\/3282?\nAnswer: 178350444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1914756, -1914773, -1914808, -1914867, -1914956, -1915081, -1915248?\nAnswer: -1915463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9699 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165591.\nAnswer: 3, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t. Let c(j) be the third derivative of j**5\/30 - 11*j**2. What is c(z(m))?\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1956813 * 3.\nAnswer: -0.5870439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16852272, 33704551, 50556832, 67409115, 84261400?\nAnswer: 101113687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007374 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52320*w**2 + 11*w + 2730 wrt w.\nAnswer: 104640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8319 - -25587. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*p - 4 = -p, -p + 5 = 0. Suppose -2*z + 20 = -5*z - 2*n, 4*z - 2*n = -36. What is the smallest common multiple of q and (6\/z)\/((-13)\/52)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5220, -5195, -5158, -5103, -5024, -4915?\nAnswer: -4770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(121) + ((sqrt(121) + sqrt(121)*2)*-1 - sqrt(121)))\/(((sqrt(88)*2)\/sqrt(2))\/sqrt(4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from pngaagnpa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p, 0*v + 5*p = 2*v - 27. Let n = v + -11. Suppose -45 = n*r - 460. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -9*x + 33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6 - (-28 + 26 + 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 252\/24 - -7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:45 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 551231 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c + 8. Let v(p) = 4 - 35*p + 40*p - 1. Let r(y) = -3*b(y) + 8*v(y). Let k(t) = -7*t**2. Give r(k(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/21 - 292\/6. Let l = -17 - n. What is the units digit of (-2 + 1)\/(-1)*l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 9*c**2 - 10*c - 2. What is the remainder when 40 is divided by d(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 2293*p - 83919. Calculate b(35).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/2 - 675*q\/2 - 3425 = 0?\nAnswer: -10, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 173 = 36*v. Let m = -55.06 - -55. Which is the closest to m? (a) v (b) 2\/11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -742*k + 5833. Determine w(8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 plus 203?\nAnswer: 202.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -8 + (18 - 9) - 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1\/12 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.6 - 159.6. Let u = -111.13 - q. Which is the nearest to 0.2? (a) 2 (b) 0.1 (c) u (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let p be (0 - u\/3) + -1. Let z = 43 - 40. What is the second smallest value in z, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264887 + 82115049\/310. Calculate the common denominator of 65\/12 and x.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + h + 603 = 0, -a + 4*h = -5*a - 492. Let v = a - -171. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p + 0*p + 3*p)*(2 - 2 - 2) + 432 - 62*p - 432)*(-4*p + 3*p + 0*p + 1).\nAnswer: 60*p**2 - 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.8. Let w = -0.21 + 0.18. Let b = 0.03 + w. What is the closest to -1\/4 in b, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34767?\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l + 20. Let i = -601967\/18 + 33451. Find the common denominator of (86\/(-10))\/((-24)\/l) and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 12) to base 7\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(143) + (sqrt(143) - (sqrt(143) + (sqrt(143) - (sqrt(143) - (sqrt(143) - sqrt(143)*1*-4))) + sqrt(143))))\/(2*sqrt(11)*-2)*5.\nAnswer: 4 + 25*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20115*u + 20110*u + 39 = -9*k, -22 = 2*k - 2*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*3*(-1)\/2. Let g be (-2)\/6 - (-2345829)\/z. Let o = g - -156648. What is o rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4224 + 829 + 1320 + 28*n - 16*n + 162*n with respect to n.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.94697 * 0.53\nAnswer: 0.5018941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z - 5*b = -31*z + 3040008, 4*z + 5*b = 3040048. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3)**29)**(-19\/4) assuming y is positive.\nAnswer: y**(-1653\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240606*-2.\nAnswer: 481212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*u - 21, -2*f - 44 = -4*f + 4*u. Suppose -p + f = -9*p. Let j be (12\/(-8))\/(p\/8). Solve t - 3 = -j*v + 7, -4*v = -5*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1\/(0 - 2). Let o(p) = -3*p. Let j(t) = -t. Let m(z) = z**2 + 13*z + 1. Let c be (3 + (-70)\/6)*(-9)\/(-6). Let q be m(c). What is a*o(w) + q*j(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12304155*h + 24608340*h - 6*h**2 - 12304185*h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175.6 + 143. Let f = 104 - 75. Let v = f + w. Sort -1\/4, 5, v.\nAnswer: v, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50\/369 + -1\/41. Let w = -72 - -73. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/70 and 12\/(-8) - (441\/(-140) + 1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*f**2*s + 139401*f**2 + 12*f*s - f + 60663612*s wrt f.\nAnswer: -20*f*s + 278802*f + 12*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {i: 19, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 282 - 50. Let y be (-1)\/2 + o\/4. Let v be 4\/y - (-92)\/(-28). Sort v, 0, -5 in increasing order.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 24855544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3132646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 4, 1, 57676, -5 in decreasing order.\nAnswer: 57676, 4, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*((-513)\/(-18))\/(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -24 in ascending order.\nAnswer: -24, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -2\/53, 0.08, -5, 2, -1 in ascending order.\nAnswer: -5, -1, -2\/53, 0.08, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 887160*a**3 + 2661456*a**2 - 2661448*a + 887148.\nAnswer: 4*(a - 221787)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efsfsskkkff. What is prob of picking 1 f, 1 e, and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-85)\/5 - -7 - -26912 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227247762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 + o + 65. Let n be r(0). Suppose 11 = -3*y + n. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2035 and 6160?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239 * -20.\nAnswer: -4780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**4*z - 1897906*i**3*z**2 + 1277467*i**2*z**2 + 2 wrt i.\nAnswer: -48*i*z - 11387436*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0 - 15*a**2 + 11 - 16*a + 2 + a**3 - 5. Suppose 3*y - n - 48 = 0, 5*n = -7*y + 2*y + 80. Is 2 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 7*w - 2*w)*(65*w - 239 + 239)*(-2*w + 3*w + 3*w).\nAnswer: 520*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/1013 + -404\/246159. Are 0 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7646, -15298, -22950, -30602, -38254?\nAnswer: -45906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -120 and 11.\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -70484 divided by 4\nAnswer: -17621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/(-26))\/(5265\/(-28860))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581457?\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/5)*b))**(5\/3)*(b\/(b**(-3)*b))\/(b*b*b*b\/((b\/(b*b**(-5)*b)*b)\/b)*b) assuming b is positive.\nAnswer: b**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:57 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 2)\/3 - 9. Let a = 2 + z. Let y be 1\/(-4) + (-162)\/a. Solve -y = 3*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46966?\nAnswer: 2, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 3, -1, -16 in decreasing order.\nAnswer: 7, 4, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235*t**2 + 216*t**2 + 4*t + 721 + 2*t + 1537 wrt t.\nAnswer: -38*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 31*q = -80 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-597 - -674) + (4 + -5 - 7) + 0.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 5:41 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 + (-133)\/(-12). Which is greater: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.6 + 14.6. Which is the third biggest value? (a) x (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 0.07 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 557 + 752. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 340*p = 343*p - 8, -p + 24 = 7*z. Sort 1, -5, 5, 2, z in descending order.\nAnswer: 5, z, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/21)*r*r*r*r\/r**(1\/13)*r*r*(r**2)**36)**14 assuming r is positive.\nAnswer: r**(42598\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 24 + 93. Let m be 83 - 28\/(-21)*6\/(-4). Suppose -5*x = 3*i - 451, -x + 4*i = -0*x - m. Calculate the remainder when x is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 117*n - 115*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let g = 1427812\/9 - 158491. Let p = 155 - g. Sort -1\/3, p, z in decreasing order.\nAnswer: z, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 347*p - 2*p**2 - 347*p. Let x(b) = 9*b**2 + 16*b**2 + 52*b**2. Give n(x(d)).\nAnswer: -11858*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:21 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:58 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42588 by -4732.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161*54\/(-630)*-4*(-10)\/24.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 90. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v = -87*v - 625. Let l = 190 + v. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 51*t**2 + 2447*t - 39200. Calculate j(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 14 = -6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {h: 1, n: 1, e: 5, d: 1, v: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4, -2*f - 14 = -4*i + 18. Suppose -5*m - 3*s + 10 = -i*s, -s = -5*m + 10. Let z = -61 + 66. What is the highest common divisor of m and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 25*m = -736. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-648)\/(-27))\/24)\/2)\/(2\/(-68))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 6244*m - 9314*m - 13122*m in the form b*m + z and give b.\nAnswer: -16192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 + -57. Let d = -79 + w. Suppose -d*m - 351 = -m. What is the common denominator of m and 127\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 191116087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(187)*-2)\/sqrt(11) + 4.\nAnswer: -2*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.4. Let t(d) = 5*d**2 + 2*d - 1. Let o(w) = w. Let q(v) = -3*o(v) + t(v). Let i be q(-1). Which is the closest to 1\/3? (a) i (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 86 + 2*u**2 - 11*u**2 as v*u + j*u**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.793 and -27908?\nAnswer: 27911.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79810.2 + 54856.\nAnswer: -24954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2233432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009260149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-3*i + 2*i + 3*i) + (-2*i + 5*i - 5*i)*(0 - 2 + 5) + i - i - i + i + 3*i - 2*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37025544*p - 74051110*p + 37025557*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose 4 = -k*d + 3*d. Let r(x) be the second derivative of x**4\/6 - x**3\/3 - 3*x**2 + 2*x. Let m(o) = o**2 - o - 1. Give d*m(s) - r(s).\nAnswer: 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -31*r - 303. What is c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(5\/6))\/c)\/(((c\/(c\/(c**(1\/10)*c)))\/c)\/c)*(c**(1\/4)\/c)**(-5\/3)*(c*c*c**(2\/7)*c*c**(-2\/11))\/((c*c\/c**(5\/4))\/c**5) assuming c is positive.\nAnswer: c**(22339\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 48 (b) 148 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 203, 247, 293, 341, 391, 443?\n\"Answer: s**2 + 41*s + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 11*a - 10*a - 11, 2*j - 4*a - 16 = 0. Solve -j*h + 36 = -19*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 1017 + 1002 = 5*j, 12 = -4*j + 2*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(21\/(-381)) - 1320\/(-220)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/17 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 6)*((4 - 4 + 2)*(3*p - 6*p + 2*p - 4*p - 1 + 1 + (1 - 1 + 2)*(-3*p + 2*p + 2*p) + 2 + p - 2) - p + 0*p + 3*p) in the form x*p + q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 + 254.8. Let u be (-73)\/105 - 3\/(-5). What is the third biggest value in g, u, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -37621466*w. Let n(x) = 9*x**2. Give z(n(f)).\nAnswer: -338593194*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 6 - 3) + -2. Does 2\/11 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393210 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21799 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - z + 0*z + (-8*z - 2*z + 3*z)*(-4 - 51 + 145).\nAnswer: -632*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3063*g**2 - 2*g - 4. What is the thousands digit of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -57*p**4\/2 + 92*p + 94. Differentiate w(o) wrt o.\nAnswer: -342*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5545*f - 5545*f + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2667966 times 9.7?\nAnswer: -25879270.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -39\/1135 (c) -8\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) -4.3 (b) -1\/36 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 114, 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - -2 - (-7)\/(-1). Solve -7 - 1 = v*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e59d (base 16) to base 8.\nAnswer: -562635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 + 8\/(80\/42). Differentiate 27*g**4 - 72 + 14*g**4 + 55*g**k - 25*g**4 with respect to g.\nAnswer: 284*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(5 + 3 + -4). What are the prime factors of 1*-1*(j + 2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10352?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 2\/11 (b) -3745 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 288*z - 1. Let q be k(5). Let s = q - -527. Suppose 4*c - 646 = s. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from ffalfffaff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -32. Let t(u) = 12*u - 1. Let v(r) be the third derivative of 13*r**4\/24 - r**3\/6 + 10*r**2. Let s(b) = 5*t(b) - 4*v(b). What is s(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 35\/18)\/((-1)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32311 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03549372? (a) 0.3 (b) 2\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 5 + (0 + (sqrt(2057) - sqrt(2057)*-1) + sqrt(2057) + sqrt(2057))**2).\nAnswer: 98739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*o + 14, o + 10 = -5*u + 6*o. Let n be 359 - (-14 - u)\/(-4). Let v = n - -183. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17352 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (19 + -13 + -23 + 16 + 11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*j = -3*k - 2902, -2867 = -3*k - 2*j. What are the prime factors of k?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7801, 15314, 22827?\nAnswer: 30340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 12*n + 4*v, 2*n + 28 - 11 = 4*v - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7856113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21 and -91\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 22*u + 1. Let z be s(1). Let d = -13 + z. Let x = 3 + d. Solve -3 + x = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/22, 1, 72.\nAnswer: -21\/22, 1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 60 = -3*s. Suppose -9*y = -80 + 26. Calculate the least common multiple of y and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c31 - -1b7?\nAnswer: 1de8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17842937*y + 2 - 11 + 9.\nAnswer: -17842937*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {q: 2, v: 3, r: 6, h: 3, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -14*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + f**3 - 4*f**2 - f**3 + 7*f + f**3. Is m(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwowowwwow. Give prob of picking 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -628 and -27030\/43 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c - 2*c - c + 1 - 1 + (-1 + 1 - c)*(-1 - 1 + 0) - 9*c - 3*c + 0*c + c + 3*c - 2*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoauloluuuoouuo. Give prob of picking 1 u and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 172*c**2 + 1256*c + 1088.\nAnswer: 4*(c + 1)*(c + 8)*(c + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-182))\/((-23)\/((-3289)\/(-1694))).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3227700)\/(-17400)*2\/(-7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 15*g + 2*h, 2*g + 6 = h. Let t(s) = s**3 - 2*s**2 + 2*s + 2. Let b(c) = -6*c**3 + 15*c**2 - 15*c - 15. Give g*b(z) - 30*t(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 18}. Give prob of picking 1 q and 1 v.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227.9447734 less than -4779?\nAnswer: -2551.0552266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f - 2*f - 5839.\nAnswer: -2*f - 5839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 233*l**4\/2 + 1250*l - 938. Differentiate h(w) wrt w.\nAnswer: 1398*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and -4.7?\nAnswer: 1.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50.8 - -54. Let p = 2.2 - w. Which is the smallest value? (a) -2\/9 (b) -11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790 and 141746540?\nAnswer: 141746540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8580*181 - (-2434)\/(-47463))*(-25)\/(-20)?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-290)\/26 - 6\/(-39). Let q = 12 + b. Let m be (q - 0\/(-1))*20. Solve 0 = 4*z + m, -s + 40 = 4*s - 4*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - -1 - (212 + -197)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5\/3, 491.22, 1?\nAnswer: 491.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18762 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 + -210. Let a be -7 + 20*(-1)\/r. Let x(h) = -5*h. Determine x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/2 + 1361*s\/6 + 151 = 0. What is s?\nAnswer: -453, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 4*h**2 - 2*h. Let l be j(3). Let p be (-2)\/((-8)\/l) + -2. Let d = 16 + p. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 - 8 = 0. Solve -2*x = -0*x + b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/385)\/3*(-706)\/1059?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 21*y**2 + 2*y + 1. Let d be x(-1). Let w be d\/6 + (-10)\/(-15). Suppose 15 = w*j - j. What is the lowest common multiple of j and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w - 4*w = -21768. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204977599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b + 21*b - 5*b**2 - 33*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u + 6880000 = 0. Round u to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13286, 13158, 12958, 12698, 12390, 12046, 11678?\n\"Answer: 2*p**3 - 48*p**2 + 2*p + 13330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42607390 rounded to the nearest 100000?\nAnswer: 42600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 103 - 27)*(-1 + 3 - 3)*(-8*t**5 - 17*t**5 - 12*t**5 + (3 + 1 - 3)*(-3*t**5 - t**5 + 2*t**5)) + 28 - 28 + 16*t**5.\nAnswer: 3370*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 10.06167t?\nAnswer: 10061670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*35\/(-84)*1\/(70\/7672)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 23650*r + 27966125.\nAnswer: 5*(r - 2365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5*w - 8 - 2, 0 = t + 4*w - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 - -8) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29ad + 16b?\nAnswer: 2b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-63)\/27)*(-2)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 114*x**2. Let z(q) = 3*q. Give t(z(i)).\nAnswer: 1026*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 21.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 - 5*b**5 - 2*b**5 + 0*b**5 + b**5 + b**5 + (-2*b + b + 2*b)*(0*b**4 - 2*b**4 + 4*b**4) + 3*b**5 + 0*b**5 - 2*b**5.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31858240 by -58.\nAnswer: -549280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11348 is divided by 1021?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**2 - 2*w. Let o be (-2 - 4\/2) + 2. Let z(p) = -p + p - 6 + p. What is o*z(l) + 7*b(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3288790570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 1\/625, 2\/11, -4\/39?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2. Let c(f) = 5*f - 4. Let i(j) = -36*j + 27. Let v(n) = -27*c(n) - 4*i(n). Calculate u(v(h)).\nAnswer: 243*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10909?\nAnswer: 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -46. Let g = -82.5 - -63. Let h = p + g. What is the closest to 1 in 3, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -93a9?\nAnswer: 93b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347.828 + -0.828. Let y = a - 603. Let z = -258.14 - y. What is z rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - 0.1. Let i = 173.44 - 174. Let y = -0.46 - i. What is the second biggest value in -0.1, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**3\/3 + u**2\/2 + u + 1. Let o(b) = b**2 - 4*b - 1. Let j be o(4). What is k(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 + 11 = 3*q, 2*w + q = 14. Suppose 0 = w*a + x - 7, 0*a - 2*a - 5*x - 11 = 0. Factor 2\/5*y**3 + 0 + 2\/5*y**a + 0*y.\nAnswer: 2*y**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 13*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318 and 18?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 5*b + 3. Let f(v) = v**2 + 2*v + 1. What is 7*f(t) - 3*z(t)?\nAnswer: 4*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/(-17 - 5))\/(0 - (-1)\/(-9303)).\nAnswer: 3, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 83 + 83. Suppose 5*o - f + 15349995 = 0, p = 5*o + f + 15531130 - 181125. What is o rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -515984*a**2 - 1008586*a - 25 wrt a.\nAnswer: -1031968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 693?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 681319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.1671 * -0.1\nAnswer: -0.11671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 44 = 3*i - c, 4*c + 8 = 0. What is the remainder when 84 + (4\/6)\/((-3)\/9) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19140 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by -56?\nAnswer: 125\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*10\/8*6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 12*f - 222 - 310 - 28 - 179.\nAnswer: 12*f - 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 equal to 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1, -6, -2, 3 in increasing order.\nAnswer: -6, -2, 1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2213033022 (base 4) to base 7\nAnswer: -5552043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 - 15 - 0 - (-3 - -1). Let w be (-21324 + 4 + 0)\/t. What is w rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 19*i + 7. Let u(j) = 2*j**2 - 10*j - 4. Let p be 19\/(-3) - (-2)\/6. Let t(c) = p*n(c) - 11*u(c). Factor t(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.23, 0.09, 5\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + (-3 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*a - 240 = 0, -s - 5*a - 48 = -152. Let f be 48\/(-9)*72\/(-16). Calculate the highest common factor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3808937 = -881*w - 3776340 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2347 + -2311. What is the greatest common factor of 1494 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2009 + 73. Let n = -965 + z. Let g = -3 - -5. Solve -n*u + g*o - 3 = -0*o, u - o = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + -1.3. Is 0.06 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c0b6 - -32?\nAnswer: -2c084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 28*x - 2*x**4 + 1 - 29*x + 1 to the form l*x + i*x**4 + v + n*x**2 + d*x**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -31*r**2 + 557*r + 15. Calculate h(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.374161 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**5 + 4*d**5 + d**5)*(2 - 2 - 2 + (1 - 3 + 4)*(-1 - 1 + 0)).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, -6, -96, -272, -564?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - ((-52 - -1) + 33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*b - 2165 = 1195. Let t = -13 + 41. Calculate the least common multiple of b and t.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + 215035245?\nAnswer: 215035161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 638074280 by 803620.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 199 = -0*t + c, 5*c = 5. Let q(u) = -6*u**3 - 2*u**2 + 1. Let o be q(-1). Calculate the highest common divisor of t and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 146, 119, 56, -61, -250, -529, -916, -1429?\n\"Answer: -3*r**3 - 6*r + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-32)\/24 + 345\/(-234) and 63\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167906 and 82?\nAnswer: 6884146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1779 divide 49618089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose v = -x - 4, -3*n - x + 172 = x. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -6 in decreasing order.\nAnswer: 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10351\/4604 + 2\/1151. Factor 1\/2*r**3 + 9\/4*r**2 - 1\/2*r + 0 - a*r**4.\nAnswer: -r*(r - 1)*(r + 1)*(9*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 v when four letters picked without replacement from vvjbjjujjbjubjvbbjb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103014 (base 6) in base 7?\nAnswer: 33406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/6)\/((-2)\/(-6)). Suppose 0 = 4*j + 5*s - 13, v*j + 5*s = 2*j + 11. What is the closest to -1\/3 in -0.3, j, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.65*-4.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccc when four letters picked without replacement from {p: 8, g: 8, c: 4}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/((f**(-1\/3)*f)\/f))\/f*f)\/f))**(2\/15)\/(f**(-4\/7)\/f**2) assuming f is positive.\nAnswer: f**(838\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 853654, 1707314, 2560974, 3414634, 4268294, 5121954?\n\"Answer: 853660*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1762 or -1761?\nAnswer: -1761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*b**3*m + 23709*b**2*m**2 + 3153*m**2 + 238*m - 1 with respect to b.\nAnswer: 297*b**2*m + 47418*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3877 (base 14) to base 5.\nAnswer: -304110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 + 5*c + 2. Let k be g(-1). Let q(h) = 3*h + 7. What is q(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoz when three letters picked without replacement from zzoooozzno?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -478651*w + 16274123. Calculate l(34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-432)\/180*5\/(-3). Let l be (7\/o)\/((-6)\/(-168)). Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (15 - 22) + -11 + 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -83038057 at least -83038057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -15*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:18 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6*(-28)\/54 + -3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**5 + 4*s**4 + 8*s**3 + 4*s**2. Let v(t) = -4*t**5 + 3*t**4 + 8*t**3 + 3*t**2 - t. Let y(m) = 3*f(m) - 4*v(m). Factor y(w).\nAnswer: 4*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 2*l - 6*l. Let y = l - -37. Let t(p) = p**3 + 7*p**2 + 2*p + 7. What is t(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**4 + m**2 + 4*m - 143. Let x(u) = -3*u**4 - u**2 - 6*u + 142. Let a(t) = -2*x(t) - 3*y(t). Find the first derivative of a(f) wrt f.\nAnswer: -24*f**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.280054305 rounded to 4 decimal places?\nAnswer: 0.2801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.3, -0.02, 8, 2, 3 in descending order.\nAnswer: 8, 3, 2, -0.02, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712728.4 micrograms to kilograms.\nAnswer: 0.0007127284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -16. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3152\/2280 + (-4)\/10. Let c = -354 + 6732\/19. Let z = w - c. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:27 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 + 14 - (1 + 0). Suppose -12 = -2*w + c*x, 0 = -w - 11*x + 8*x + 26. Solve -3*d + 10*d + w = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1017\/6 + -4)\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 15957.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4743.10373 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039256 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**3 + 18*g**3 + 0*g**2 + 0*g**2.\nAnswer: 69*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1872) - sqrt(52)))\/((sqrt(44)*4)\/sqrt(11)).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 - sqrt(13))**2*2.\nAnswer: 16250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 8*i + 1141*i**2 - 1147*i**2 - 7*i.\nAnswer: -6*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 1946*i - 363331. Determine z(721).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**6\/180 + 3*w**4\/4 - 2*w + 12. Let r(h) be the third derivative of u(h). Let p(l) = 2*l**2. What is p(r(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 5 + 2 + 0. Suppose -s = -q*k + 12 + 24, -99 = 4*s - k. What is the remainder when 122\/8 - 18\/s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d + 34. Let q be o(-3). Suppose 2*b + 2*w - 33 = 5*w, 0 = -b - w + 4. Calculate the greatest common divisor of q and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 + 5*g**4\/12 - g**3\/6 + 7*g**2\/2 + 7*g. What is j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62907*a + 62907*a - 21*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + a = -17351, 68*i = 64*i - 7*a + 23193. Calculate the greatest common divisor of i and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**7)\/(w\/(w*w**4))*(w*w\/((w*w**0\/w)\/w*w))**24 assuming w is positive.\nAnswer: w**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*y**2 - 70*y**2 - 76*y**2 + 300*y**2 - 78*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 240*z - 483. Let b be g(2). Is 50\/189 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598226243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*t = 5, -4*q + 3 = 2*t + 1. Suppose -q*m = 4*z + m - 84, -4*z = -2*m - 60. Let b = 41 - z. What is the remainder when 71 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**7\/60 - 7*i**6\/360 + i**3\/3 - 5*i**2. Let g(o) be the first derivative of r(o). Find the third derivative of g(n) wrt n.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/2 or 29?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*a = 371*a + 4795 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -366*o + 12*o**2 - 16 + 388*o + o**3 + 40. Let i be h(-10). Solve 7*g = i*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 2*t + 20, -10 = 2*b - 5*b - t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**10)\/((s**(2\/27)\/s*s*s)\/s))\/((s\/s**1)\/s**(1\/2)) assuming s is positive.\nAnswer: s**(617\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/(-4))\/((-3)\/24). Let c = 31 - l. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -834*m + 82. Let l be h(2). What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-54)*9 + 2\/(-2). Let f(n) = n**3 - 4*n**2 - 14*n - 5. Determine f(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 639 + -1?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - t**3 - 7*t + 2*t + 2*t**3 + 6. Suppose 0 = y + 55 - 44. Let w be -5*y\/(275\/20). Give s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, o: 1, g: 1, h: 4, v: 3}. Give prob of sequence hyoy.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -461 + 465. Which is the closest to 5\/2? (a) -2 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 + h + 6. Is 23 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -8*h + 153. Let b = 45 - h. Let g be b*(-1)\/(-2) - -61700. Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 84. Suppose 32 - j = q. Solve 5*g - 2*n = -q, 4*n = 4*g + g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 160*n**2 + 17*n + 18. Determine g(-1).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -9 in descending order.\nAnswer: 5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*v + 85, 2*j + 4*v - 80 = -0*v. Suppose -8 = 2*g, 3*g + 116 = 2*x - 2*g. What is the least common multiple of j and x?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/3*12\/8 - 10. Suppose 0*b - 3*j - 9 = 3*b, 3*b = 4*j - 16. Let o(k) = -5*k - 2. Let x(l) = 4*l + 2. Let h(m) = b*x(m) - 3*o(m). Calculate h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((-378)\/(-315) - (-383)\/(-15))*3 + -10.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16548 - -1.15101. Round f to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279289143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 30*g + 1459. Let j be d(-56). Solve -12*r - 2 = -10*r + j*b, -4*b = r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-35 - -44)*(0 + (-8)\/(-3)) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gweuu. What is prob of picking 1 w and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (41490\/4 + 3)*268\/402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*o + 89, -4*o - 5*i = -2*i - 115. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 29. Let r = -7 + i. What is the second biggest value in r, -0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318885?\nAnswer: 5, 17, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-2*(-40)\/96)*46\/(-368).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, -12454, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {q: 4, a: 2, i: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 4. Let m be r(-1). Suppose m*k = 6*k - 4. What is the hundreds digit of ((-2)\/6)\/(k\/(-363))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.18889121 to 4 dps.\nAnswer: 10.1889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-15))\/((-11)\/(-9) - 1). Let g be b + (-589 - ((-75)\/(-5))\/5). What is g rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = -4. Suppose -15 = h - y*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}