diff --git "a/data/dm_maths/full_data_1/10951_11255.jsonl" "b/data/dm_maths/full_data_1/10951_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10951_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((-6*sqrt(200)*-1 + sqrt(200) - (0 + sqrt(200))*-4)*1*4)**2.\nAnswer: 387200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/2))**(-21))**21)**(4\/7) assuming l is positive.\nAnswer: l**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 z when three letters picked without replacement from khknwaza.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7 + 3*b - b**3 - 14*b**2 - 4 - 4*b. Let f be m(-14). What is the derivative of 12 - 8 + 13*r**f + 19 wrt r?\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2530635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5\/197, 10\/9, 12?\nAnswer: 5\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 - 793)\/((-3)\/(-33000)). What is u rounded to the nearest one hundred thousand?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**3\/6 + 3*n**2 - 4*n. Let t be b(9). Suppose 5*k + 28 - 3 = -4*u, -t = 3*k. Solve 2*z = -u*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z. Suppose -2*x - 4 = -8. Let f be d(x). Let a(c) = -3*c**2 + 5. Let m(l) = 5*l**2 - 8. Suppose 190 = -31*h + 118 + 227. Give f*a(p) + h*m(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 1. Let f(v) = -v - 1. Let y(b) = 7*b + 1. Let u(x) = -3*f(x) - y(x). What is -3*t(q) - 2*u(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/30)\/((-141)\/(-210) - 1). Is k bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784930789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-122)\/(-3) + 26\/(-39). Suppose 23*s + k = 33*s. Solve s - 6 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2 - 5) + 13. Let s = p - 5. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 128 + -203?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -k + 44386, -3*k + 2*k + 44381 = 4*z. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85455 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26217, -5, -76, -3\/5, 2\/7?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:10 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*k**3 + 6*b*k**2 + 37*b*k + 2*b + k**3 - 11744*k**2 - 1391*k wrt k.\nAnswer: -18*b*k + 12*b + 6*k - 23488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.18 - -0.18. Let a = 18 + l. Let x = a + -10.999988. What is x rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 6*p - 4*p - 18 + 18 - 69*p + (5 - 1 + 0)*(p + 2 - 2) - p + 3*p - 4*p.\nAnswer: -65*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133344 - -143231?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-10 - -24) - -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let f(u) = 3*u - 1. Determine -3*f(b) + 5*q(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 - z. Let f = 20 + -14. Let w(a) be the first derivative of -2*a**4 - 2*a**3 + 3*a**2 + 29332. Calculate f*m(t) + w(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) + 5 + (sqrt(13) + 2)**2 + -4).\nAnswer: -5*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2) + -4 - 0. Let n(u) = 3*u**2 - 3*u + 3. Let k be n(b). Let f = -19 + k. What is the least common multiple of 16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2710 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/7, -15, -1\/1092?\nAnswer: -1\/1092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18284010 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 554*z - 3. Let s(u) = -6*u**2. Give j(s(q)).\nAnswer: 36*q**4 - 3324*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7217.5 times 547?\nAnswer: -3947972.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {e: 1, b: 2, w: 1, y: 1, c: 4}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28092416927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4439 is divided by 1474.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*g + 9 = 0, 2*g + 1 = 21*u - 20*u. Let i = -5 - -7. Sort u, 5, i, 1.\nAnswer: u, 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006667 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**3\/3 - 9*k - 1. Let u(w) be the third derivative of -w**3\/6 - 1247*w**2. Determine 4*j(x) - 36*u(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -11. List the prime factors of 21\/(1 + 2) + j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38832 + 38995. What is the remainder when 559 is divided by d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*y - 65 = -w, 61 = -5*w + 3*y. Let h be 2 + (-33954)\/(-14) + 4\/w. Suppose 3*s + b - h = 0, b = -4*s + 4*b + 3236. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfyfjyur. Give prob of picking 1 y and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 62 = 2*v, w = 3*v + 31 + 6. Let a(x) = x**3 + 7*x**2 - 2*x - 8. Calculate the least common multiple of w and a(-5).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 18*q + 57, -3*t - 15 = -4*q - 46 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1355 and 2105941?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrsuuruurr. What is prob of sequence rs?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131974134*m - 267403593.\nAnswer: -131974134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 24 = -3*o + b, 3*o + 21 = 3*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 2, 1030, -4 in decreasing order.\nAnswer: 1030, 9, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 6*c**2 - 12*c - 6. Let h be g(-3). Let b(u) = 7*u - 2. Let k(d) = -34*d + 10. Determine h*k(y) + 14*b(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 7261?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7436\/29? (a) -3 (b) 2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11546330, 11546335, 11546344, 11546357, 11546374?\nAnswer: 11546395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -87*a - 21. Let u(g) = -25*g - 6. Let k = 47 + -65. Let i(x) = k*u(x) + 5*z(x). What is the derivative of i(p) wrt p?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -5*w. Let j = w + -1. Let k be j - (1 - 1)\/3. Solve 5*t - b = 23, -5*b - 15 = -5*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = -25. What is the smallest common multiple of q and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + 4 - (2 + 14)) + -8 - (10 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*m + 183, m = 3*i - 405 - 89. What is the remainder when i is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3634*q**5 + 2652*q - 2.\nAnswer: 72680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -17*t**3 - 20*t**2 + 14*t. Let y(f) be the second derivative of -3*f**5\/10 - 7*f**4\/12 + 5*f**3\/6 + 35*f. Calculate 4*j(o) - 11*y(o).\nAnswer: -2*o**3 - 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 32 + 28. Let i be (-15)\/(-10)*(-5)\/((-585)\/r). Let s(j) = j**3 - 2*j**2 + 2*j - 1. Let m be s(2). What is the nearest to 0 in i, -0.3, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98921 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17323?\nAnswer: 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5516 - -7786. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -14. Let i = 238\/3 - 80. Which is the third smallest value? (a) i (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0, -1 in increasing order.\nAnswer: -1, 0, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5397*h**3*s - 14037*h**3 + h**2*s - 3*h*s - 22 wrt s.\nAnswer: -5397*h**3 + h**2 - 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4257)\/215)\/11*15?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoobtna. What is prob of picking 1 e, 1 t, and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92188 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22864362?\nAnswer: 2, 3, 3810727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 40. Let m be z(-11). Solve 1 = -s - m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5640.776ns in microseconds?\nAnswer: 5.640776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = 4*d - 2*d, 0 = 4*d - 2*q - 4. Suppose 5*y = -5*p + 15, d*p - 4*y + 7 = -11. Which is smaller: -2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 - 987?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 10*l**2 + 605*l - 133. Determine a(30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4592*r**4 - 2915*r**2*u**3 + 185*r*u + 62638*u**3 wrt r?\nAnswer: -55104*r**2 - 5830*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3, 5 in decreasing order.\nAnswer: 33, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3391 + 110268. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 10 (c) 1 (d) -4.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.079359 litres?\nAnswer: 1079.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**2\/2 + 16*r + 1. Let w = -77 - -84. Give s(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 + -4 + 4. What is the first derivative of -5 - 5*g**y - 5 - g**4 wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 653376590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*v**3 + 105*v**3 + 81*v**3.\nAnswer: 124*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2688 and -41\/42.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 144\/5 (b) 0.4 (c) -4\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 + -3. Suppose 22*m + 103 = 81. What is the closest to 1 in s, 4, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 11. Suppose -2*h = -r - 8, 5*h - d - 12 = 3*r. Suppose 4 = w, -2*k - w + 144 = -r*w. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7715192, 7715190, 7715188?\nAnswer: 7715186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + -1 + ((sqrt(343)*-2 + -2)**2 + 4 - (-1 + (sqrt(343) + -1*sqrt(343))*-2))).\nAnswer: 224*sqrt(7) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + ((sqrt(288) + 1 - sqrt(288)) + 4 - -6*sqrt(288)*-1)**2 + -2 + ((sqrt(288) + 3 - sqrt(288)) + sqrt(288))**2*5.\nAnswer: -360*sqrt(2) + 11876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z - 49*z - 13*z = 5901 - 442 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -6*j + 4*j + 8354, -2*b + 12515 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9095?\nAnswer: 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.84 + -0.76. Let v = 3.8 + p. Which is the third biggest value? (a) v (b) 20 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 46*y - 501. Determine b(55).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 75 = -y. Solve -2*c + y = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1842.1564 days?\nAnswer: 263.1652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -1, 1.\nAnswer: -119, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2002, -4006, -6010, -8014, -10018, -12022?\nAnswer: -14026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-4)\/12 - (-6)\/(-36)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-107.9\nAnswer: 5.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 5)*(54*w**4 - 36*w**4 + 82*w**4) to c*w**3 + l*w**2 + y + z*w**4 + h*w and give z.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 158*i + 16. Determine w(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (42 - 15) - (1 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58669364 and 10297.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7. Let j(p) be the first derivative of -p**4\/4 + 7*p + 84. What is 5*j(s) - 6*r(s)?\nAnswer: s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/12 + 9*s**2 - 2*s. Let j be n(0). What is the highest common divisor of 45 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 5*g - 9. Let m be 6\/27 - (-56)\/(-9). Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 + -132.7. Let l = 680 + -680. Is l >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 132\/20. Let u be y\/(-15) + (-2)\/(-6). Let m = 1.5076 + -5.5076. Which is the nearest to -2\/7? (a) u (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-42) + 2\/(-7). Suppose a = -2*z + 3*z. Put -4, -0.1, z in descending order.\nAnswer: z, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829, -1618, -2383, -3136, -3889, -4654, -5443?\nAnswer: -6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(162)*3)\/sqrt(6)*1)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 14 - 16)*(-2*s + 0*s + 3*s)*(10 + 11 - 14).\nAnswer: -371*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 - 5*i - 6. Let l be c(-3). Let o be l\/(2\/(4 + -5)). Is 1\/2 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 28 = k + p, 4*p = 2*k - 50. Let q = -7 + k. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720 is divided by 257.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345 + -312.6. Let x = 32.14 - 0.14. Let r = x - q. Put 1, r, 0.5 in decreasing order.\nAnswer: 1, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = -22. Suppose -1 - 7 = -z*l. Let r be 5\/l*2*1. Solve -5*y - 10 + r = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k + 189*k - 1034 = 0. Let x = 27 + 2. Let p = x - 16. Which is greater: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 630412235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 3\/4, -24.8, -1, -41, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 307698 divided by -3?\nAnswer: -102566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 481\/10 + -95\/2. What is the smallest value in -0.6, -3, 0.2, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 7. Let g be p(4). Suppose 0 = g*c - 0*c - 12. Suppose c*l + 33 = 7*l. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125.00000019606 - 125. Round p to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3595, -3743, -3891, -4039?\n\"Answer: -148*a - 3447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:14 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2975649 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23996 - -24821. What is the highest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k - 12 - 6 - k + 5*k as h*k + v and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199056110.\nAnswer: 2, 5, 11, 1809601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**4 + 436*z - 29 - 4*z**3 - 121 - 231*z - 205*z in the form y*z**3 + q*z**4 + r*z**2 + x*z + u and give u.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Find r such that -20*r - 2*r**3 + 16*r**2 - 3*r**3 - 4*r**3 + 5*r**g + 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22100 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079 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: Sort -14, -7, 434, 4\/113.\nAnswer: -14, -7, 4\/113, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from mmggggg?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 8, -0.5, 1\/8 in ascending order.\nAnswer: -0.5, -1\/3, 1\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose 0*z + 2*z - 10 = -i, -2*i + 5*z = 16. Calculate the remainder when q is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1169 in -15, -3\/5, -1, 0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(-16)*v*v)*v*v\/v**(1\/2)*v*v assuming v is positive.\nAnswer: v**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - q**3 - 1 + (-10*q**2 + 5*q**2 - 8*q**2)*(19*q - 19 + 19) + (2*q - 2 + 2)*(5*q**2 - 4*q**2 + q**2) + 3 - 2*q**3 - 3.\nAnswer: -246*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 704 - 1224. Which is bigger: w or -519?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = -8. Suppose 4*d = -4*c + 11 - 7, 29 = 4*c - d. Is (-3 - (-1864)\/(-24))\/(h\/c) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 4*r - 2*o + 16, 14 = r - 5*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173*d**4 + 3*d**5 + 173*d**4 + 9*d wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4\/12 - 5*z**3\/6 + 5*z**2 - 2*z + 1. Let a(f) be the first derivative of j(f). Is 17 a factor of a(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -72*c + 22. Let h(d) = 26*d - 7. Let f(l) = 11*h(l) + 4*u(l). Suppose 4*q + i - 3 = 25, -i + 36 = 5*q. What is f(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/28765 or -0.0151?\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/4)\/((-9)\/18) + -5. Solve 2*s - v*d = 20, 0*s = 5*s + 5*d + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 17352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1579853 by 20.\nAnswer: -1579853\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 0 - -5*1. Let v(f) = -13*f - 180. Let q be v(-14). Solve -2*t + r - 3*r + 4 = 0, -x*r + 1 = q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, 5, 0, 2\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -7. Find the second derivative of -o*a - 39 + 39 - 3*a**3 wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 j when three letters picked without replacement from {r: 2, k: 4, u: 6, j: 2, s: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**14\/(c\/(c\/c**(-5\/7)))*((c\/c**(-15))\/c)\/c**(-12) assuming c is positive.\nAnswer: c**(292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*c - 25*c + 99*c - 20*c + 186 - 20*c to y*c + o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/67? (a) 0.5 (b) -416 (c) -5 (d) 5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 21*c**2 + 3*c - 63. Let s be w(21). Suppose -x + 2*j + 810 = s, -5*x + j - 6*j = -3975. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 3. Let z be (9\/(-3))\/3 + 3. Suppose z*m = 3*m - 6. What is the remainder when p(-5) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*n**4 - 5545*n**3 - 369560*n**2 + 3985920*n + 138977280 = 0.\nAnswer: -24, -1131\/56, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -o + 4, -5*o = -3*b + b + 26. Find the common denominator of (5\/160)\/(o\/(-584)) + 0 and 77\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f**4 - 2223395*f**3 + 7*f**2 + 10481539*f wrt f.\nAnswer: 408*f - 13340370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1495*m - 10052*m - 3234*m to the form w + t*m and give t.\nAnswer: -11791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + 69. Suppose -b*u + 49 = -145*u. Let g(z) be the third derivative of z**4\/12 + 4*z**3\/3 - z**2. What is g(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 15, -a = -0*g - g - 7. Let l(d) = -d**2 + 5*d - 2. Let w be l(a). What is the highest common divisor of w and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320847 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 85. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5 + 1 + 0 - 5*g. Let v = -1463 - -1671. Suppose -4*c - 3*b = 13, v*b - 207*b = 1. Determine z(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from httttthhhthh?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -146, 3, 2, 8, 1, -1 in decreasing order.\nAnswer: 8, 3, 2, 1, -1, -25, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*v + 155*v = -210 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 4, i: 7}. Give prob of sequence iki.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -1, -0.3, 40, -28940?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = f - 5*s, 4*f - 5*s + 12 + 11 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from cemaamaccmcccxxx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 + 113*o**3 + 454*o**2 - 973*o - 27.\nAnswer: 12*o**2 + 678*o + 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 0. Solve -3*y + 0*i = i + 3, -2*y + i - 2 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 372*v + 2. Let p(n) = 37*n - 221. Let q be p(6). Is y(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 669368*g**3 - g - 413227159.\nAnswer: 2008104*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 1949559649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*455\/1092?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 761\/10 - 493\/5. Calculate the common denominator of -20\/11 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 10770468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b4b92 (base 12) to base 6.\nAnswer: -125023502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 + (-22)\/(-11). Suppose f = w + 3*w - 336. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1785*z + 8081 + 15124 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963331 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*a = -a + 1890 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*p**2 - 154*p**2 - 149*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(65))\/((sqrt(10) - sqrt(160))\/sqrt(2)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 2)\/((-3)\/4). Suppose 3*o = -5*f + 10, o - l*f - 15 = -6. Let t(b) = 0*b**2 + 7*b + 5 - o*b + b**2 - 9*b. What is t(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001 (base 3) to base 6.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1078*y**3 + 2*y + 1. Let b be (2\/(-6))\/((-12)\/(-36)). Is o(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiiiiiaiiaiai. What is prob of sequence aiii?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80\/313, 2\/5, -4 in descending order.\nAnswer: 2\/5, 80\/313, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 125, 274, 481, 746?\n\"Answer: 29*d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3967 is divided by 166.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**6 - 1359*c**4 + 362916*c**2?\nAnswer: 960*c**3 - 32616*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11574 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 1 + 3 + d**2 - 3. What is the units digit of m(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 43472199.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 2*u**2 - 10*u - 15. What are the prime factors of c(-5)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(1\/(-58)). Suppose -5*x + 301 = -29. Let r = f + x. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802 is divided by 2278.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/7 + 2*l**2\/7.\nAnswer: -2*l**2*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 100*w = -525. Let k = 10 + -14. Let l(f) = -6*f + 3. Let m(u) = -11*u + 5. Determine k*m(z) + w*l(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 24*z - 84. Suppose -5*j + 0*j + 25 = 0. Solve -z*h + j*w + 10 = 0, -6*h + 21 = -3*h + 3*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -1\/60*g**5 + 3*g**2 + 0 + 0*g**4 - 2\/3*g**3 + 0*g. Suppose 5*m = 2*m. Give q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 + 0.1. Let m = -1 - p. Let x = -0.05 - -0.25. Which is the nearest to 0.1? (a) -0.1 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**2 - 5*p**2 + 5*p**2)*(0 - 3 + 5).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:48 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 27*c**3 + 16*c**2 + 6*c - 6. Let d(t) = -54*t**3 - 33*t**2 - 11*t + 11. Let i(p) = 6*d(p) + 11*u(p). What is the third derivative of i(w) wrt w?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -3 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from cpdcucs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)\/r)**(8\/11)*(r**(-5)*r*r*r)\/r*r**(-3))**(-16) assuming r is positive.\nAnswer: r**(3296\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/x**0)\/(((x\/x**(-2\/3))\/x)\/(x**(4\/9)\/x)))\/((x\/(x\/(x**(1\/5)\/x)))\/x*x**(1\/2)*x**(2\/15)*x**(-7)) assuming x is positive.\nAnswer: x**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225937219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11634 + 11649. Let c = -48 + 10. Let w = c + 95. Calculate the remainder when w is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 135. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7970 - -11924. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 8, g: 2}. What is prob of sequence mgm?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 6642*i + 6644.\nAnswer: -2*(i - 1)*(i + 3322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {i: 13, x: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by -23891.\nAnswer: -580\/23891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7557 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*o + 93*o + 46268 + 2716 = 1151*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 14 = -3*y, 0 = -14*p + 2866*y - 2865*y + 97 + 228 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2815.8 - 17710.2524?\nAnswer: -20526.0524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51398767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 506\/5 - 100. Suppose h + 492 = 7*h. Let p = h - 491\/6. Which is the second biggest value? (a) -2\/13 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 7. Suppose -u - 34 = -2*u. Calculate the remainder when u is divided by l(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101358162, -405432655, -912223476, -1621730625?\n\"Answer: -101358164*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*x - 1532 = 0, 4*m = -0*x + 3*x + 6128. Suppose -406 - m = -6*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61200 divided by 12240.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 142469876 divided by -71234938\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4))\/((-2)\/(-4)). Suppose 2*b - s - 4 = b, b + 5*s = -8. Solve 1 = -b*a - u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 11\/14 (b) 5 (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h**2 - 56*h - 7. Let r(p) = -5*p**2 - 22*p - 51. Let c(j) = -5*j**2 - 20*j - 67. Let y(n) = -3*c(n) + 4*r(n). What is 4*l(u) - 9*y(u)?\nAnswer: u**2 + 28*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4 - 55*l. Let n(p) = -11*p**2. Calculate 5*h(r) - 6*n(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, -1\/4, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuyu. What is prob of sequence uuyu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1.2867701?\nAnswer: 5.1470804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) -1\/9222 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(-344))\/(6 + -5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-6 - 1)) + (23 - -9) + -46.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(9\/54)*38\/(76\/(-9)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let q(u) = 3*u - 1863. Give q(z(j)).\nAnswer: -6*j**2 - 1863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -43 (c) 2620707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmmrmmm. Give prob of sequence mm.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30060 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r + 21*r - 2 - 9*r.\nAnswer: 72*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/48*(-20)\/1935?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1152431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5 = l + 4*f, 3*l - 2 = f. Suppose 3*c = -7 + l. Let g(h) = -h + 2. What is g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1939962*a**2 + 1939962*a**2 + 8559*a + 8308*a**3 wrt a.\nAnswer: 49848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43389942 by 3.\nAnswer: 14463314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 138. Let m = b - -206. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000002001211 (base 3) to base 6\nAnswer: -113332251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12423106203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - t**3 - 2*t**4 + (t**3 + 2*t**3 - 2*t**3)*(4*t - 2*t - t) - t**4 - t**4 + 10*t**4 - t**4 + 0*t**2 + 0*t**2.\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 + 344 = 12*m + 7*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(126\/(-301)) - (46 - -89)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 1. Let y(u) = -u**2 + 4*u + 7. Let a be y(5). List the prime factors of h(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, x: 6}. Give prob of sequence xx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374325941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-90)\/72)*1\/(738\/3)\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c + 0*c)*(-2*c + 2*c + c**2 - c - c**2 + c + (2*c - c - 2*c)*(-4 + 4 + 2*c) + 3 - 3 - c**2 + c**2 + 0*c + 0*c)*(-27*c + 47*c + 95*c).\nAnswer: -230*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.955751035 - 0?\nAnswer: -96.955751035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -15, -21, -31?\n\"Answer: -2*l**2 + 4*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 22*l**2 - 405*l + 29. Let o be g(-12). Is -1547 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -7, 0.4, -1\/4, 181, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 16*z - 11. What is c(10)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2563 = 343*r - 1690 - 35 - 514 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691953?\nAnswer: 11, 101, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2127 - -578. What is the remainder when w is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*z - 108 = 84*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + h**3 - 7*h**3 - h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:19 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:18 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35420 + 202?\nAnswer: -35217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3404 = 4*z, 3*s + 28*z - 5127 = 29*z. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 16*b - 5. Let j(m) = -8*m - 2. Let s = 528 - 528. Suppose -13*q - 12*q + 50 = s. Give q*k(y) - 5*j(y).\nAnswer: 2*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 594 = j. Calculate the greatest common divisor of 72 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -361, 2\/17 in increasing order.\nAnswer: -361, -2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320300144 - -121?\nAnswer: -1320300023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {t: 4, j: 1, p: 3, d: 2, e: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*z**3 - 2*z**2 - 66 + 66 + (-3*z + 0*z + z)*(2*z**2 - 3 + 3) - 2*z**3 + 0*z + 0*z.\nAnswer: 69*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**5*n)*n)\/n)\/n)\/(n**(-4)*n)*(n\/(n*n**(-1)*n)*n)**(2\/33)*(n*n**(-3\/7)*(n\/n**(-1))\/n)\/(n**5\/n**(-1)) assuming n is positive.\nAnswer: n**(-1471\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 449 + -487.9. Let n = 43.9 + x. Which is the nearest to -5? (a) -1\/9 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 695\/7 + -99. Let m = -6 - 4. Let r be ((-4)\/m)\/(63\/15). Put y, 2\/3, r in increasing order.\nAnswer: r, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**3 + 205*k**2 - 27*k + 245. Determine b(23).\nAnswer: -1434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from tvffffvffydydd?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 3*j**2 + 10*j + 20. Calculate q(-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -480 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1052724 and 66388.\nAnswer: 7369068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45013155574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32933873?\nAnswer: 7, 31, 151769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 28*v**2 - 8*v + 10. Determine a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.66 + 0.14. Let g = v - -1.2. Let p = -0.02 + -1.98. Sort 1\/4, g, p in ascending order.\nAnswer: p, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 0. Suppose j = -2*o + 2 + 2. Suppose g + 1900000 = h, -o*h = h + g - 5700000. Round h to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -2 + -18 + 36?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 4:54 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -442 - -445. Solve 4*m = -y*w + 19, 2*m - 4*w + 24 = 7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 5910282?\nAnswer: 29551410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a + 7. Calculate the remainder when 90 is divided by s(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 88685?\nAnswer: 8867c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - -0.6. Let v = -116 - -121. What is the third biggest value in -2\/5, v, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4400 by 4.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*x = -82*x - 8. Solve 2*w + 6 = x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - sqrt(99)*-1) + sqrt(99))*-2*-5)\/(-2*sqrt(225) + sqrt(9) + sqrt(9) + 2*sqrt(324) + sqrt(9)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 53219896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11713 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.689861 rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**4 + 5*b**5 + (-b**3 - 3*b**3 + 3*b**3)*(2*b**2 + 3*b**2 - 4*b**2) + b**5 + 5*b**5 - 10*b**5 + (3 - 3 + 2*b)*(0 + 0 - b**4) + 3 - b**5 - 3.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o - 17. Let g be ((-19)\/(-5) + 1)*10. Suppose a - g = -5*a. What are the prime factors of k(a)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 5*v. Let g be ((-65)\/2)\/(1\/v). Suppose 0 = -2*p - 3*p + g. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -2)\/(24 + -18 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*v**2 + 1\/3*v - 2 + 1\/3*v**3 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.303, 5, -0.3, 3\/5, 5\/2 in ascending order.\nAnswer: -0.3, 0.303, 3\/5, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6, -5*k + 2*k + 84 = 5*g. Suppose y + 4*y - g = 0. Suppose 0 = -0*s - y*s. Solve s*c - 10 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -71. Suppose -3*x = 4*h - 1515, h - 1506 = p*x - 74*x. List the prime factors of x.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 3, -12\/433?\nAnswer: -12\/433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 8*h + 15. Let o be (1\/2)\/(63\/30 + -2). Let f be u(o). Solve -y + f + 3 = 0, -d = 4*y - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*o**4 - 11*o**4 + 15*o**4 + (3*o + 0*o - 2*o)*(3*o**3 - 3*o**3 - 2*o**3) - 1 + 9*o**2 - 679*o + o**4 + 679*o.\nAnswer: 23*o**4 + 9*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 - 17*a - 31. Let z(l) = -l**2 + 2*l + 2. Let r(f) = 3*d(f) + 21*z(f). Does 18 divide r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 281 + 1470?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16*h - 1. Let q(m) = -3*m**2 - 7*m. Let b(d) = -d**2 - 12*d. Let w(g) = 2*g. Let x(r) = b(r) + 5*w(r). Let o(t) = -4*q(t) + 14*x(t). Give o(s(j)).\nAnswer: -512*j**2 - 64*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*w**3 + 1285*w - 1285*w)*(5 - 2 - 2)*(-5*w + 7*w + 7*w).\nAnswer: 342*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176119487?\nAnswer: 23, 2069, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -794, -2736, -6548, -12854, -22278?\nAnswer: -35444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*140.623\nAnswer: 140.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3)\/4*-1. Let h(o) = 151*o + 15707. Let u be h(-104). Solve s*c + 9 = -3*g, c + 10 - u = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188728 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3063*x**2 + 9*x - 2*x - 5*x.\nAnswer: 3063*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7289, 15008, 22713, 30398, 38057, 45684, 53273, 60818?\nAnswer: 68313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/17 + 10534*g\/17 + 7051520\/17 = 0. Calculate g.\nAnswer: -4480, -787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 1. Suppose -2*y - 6 = y. Calculate f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1113231403 (base 5) to base 14\nAnswer: -486a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.265503, 5, 0.5?\nAnswer: -0.265503","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/360*(2 + 0)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-3 + sqrt(72))) + 5 - (-4 + sqrt(72) + sqrt(72)*1)**2) + (-4*(sqrt(2)*2 - sqrt(2))*-6 - ((sqrt(36)\/sqrt(2))\/sqrt(9) + 5))**2.\nAnswer: -134*sqrt(2) + 787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b - 3. Let t be l(-5). Let v be (-552)\/(-21) + (-386)\/1351. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (28 + -5 + -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 126 = 3*k - 3*h, 0 = -3*h + 6. Let f = k - 128. Let c = 88 + f. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 + -138. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -381 + 5?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and -139\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 43*w**2 + 4*w - 4. Let d(h) = -129*h**2 - 11*h + 11. Determine -11*b(v) - 4*d(v).\nAnswer: 43*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*g + 26*g + 46 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18.6 times 100719\nAnswer: -1873373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3*(b**(1\/2)\/b)\/b*(b**(-1))**(-7)*((b*b**(2\/5))**(-13\/6))**(-20) assuming b is positive.\nAnswer: b**(415\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2 + 159*p - 64*p + 2*p**2 + 251*p**3 wrt p?\nAnswer: 1506*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -421*i**2 - 3740*i - 6. Let p be q(-9). Which is smaller: p or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 10*k = -4*y + 216, -30*y + 328 = -0*k - k - 1292 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1047671?\nAnswer: -4\/1047671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(0*o + 2*o + 0*o) - 7*o + 2*o + o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 531970401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 26*g = 33*g + 480 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 282*p**2*v**3 - 7*p**2*v + 392*p - 104725738*v**3 wrt p?\nAnswer: 564*p*v**3 - 14*p*v + 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssqsssscqsssgss?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q + 2. Determine t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 71, 3, 4 in descending order.\nAnswer: 71, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131909 (base 12) in base 2?\nAnswer: 10111111110101011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t**3 + 52*t**2 + 15. Let i(m) = 5*m**3 - 27*m**2 - 7. Determine -13*i(f) - 6*n(f).\nAnswer: f**3 + 39*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 rounded to 1 dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + i**3 - i**3 + (-3*i**2 + 3*i**2 - i**2)*(-3*i + i + i) - 7*i**3 + 77246 - 77246 - 3*i**2 + 4*i - 2*i**3 - 4*i + (2*i - 2*i + i**2)*(0 + 0 - i).\nAnswer: -8*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:15 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8580912 and 60066384?\nAnswer: 60066384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**1*b)*b)\/((((b**(2\/45)\/b)\/b)\/b)\/b))\/(b*(b**(2\/11)\/b)\/b)**(-15) assuming b is positive.\nAnswer: b**(-4612\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r. Let c(u) = u. Let m(s) = 5*c(s) - 2*h(s). Let a(z) = -4 + z + 4 + 5 + z. Let i(n) = 3*n + 7. Let t(v) = 7*a(v) - 5*i(v). Calculate t(m(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*l + 1138 = 178. Is l at least as big as 51\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*6470.\nAnswer: 4529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-6 - -2) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 260*-0.68\nAnswer: -176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3\/4 - 183*y**2\/4 - 10023*y\/4 + 31635\/4 = 0.\nAnswer: -37, 3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*t - 29, 10 = -t + 2*t + 2*c. Let v = 53 + -29. What is the lowest common multiple of t and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1233450 and 2100.\nAnswer: 17268300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -o. Let m(n) = n**2 + 4*n + 6. Let w(p) = -p**2 - p - 1. Let y(v) = o*m(v) + 4*w(v). What is the first derivative of y(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136746955*f**3*g - f**3 + 99*f**2*g - 37*f**2 - 41*f*g - 10*g - 1 wrt f?\nAnswer: -820481730*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 - -2) - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 4*p**2 - 4. Let z(h) = h**3 - 3*h**2 - 3. Suppose -a + 6*a + 9 = -4*k, -4*a = -5*k - 1. Let i = k + 4. Determine i*j(q) - 4*z(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anmazantnt. Give prob of picking 1 t and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 211792, 423580, 635368?\n\"Answer: 211788*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s - 1. Let a be r(3). Suppose 11*n + 63 = 4*n. Let y = a + n. Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o**2 - 160 - 223*o**2 + 137*o**2.\nAnswer: -2*o**2 - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252490273 to the power of 1\/2, to the nearest integer?\nAnswer: 15890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**5*p**2 - 3*d**3*p + 5*d**3 - 3*d**2*p - 120*d*p**2 + d wrt d.\nAnswer: 360*d**2*p**2 - 18*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 - 7b?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01488674 rounded to 4 decimal places?\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 109. Let n be d\/(-33)*2 + 1432\/11. Suppose 19*k - n = 14*k. Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25773831 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1010001?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -947 + 948. Let m = 5 + -6. Let f = -4.91 - 0.09. What is the nearest to i in m, f, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 38. Determine k(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/7)\/j*j*j)\/(j\/(((j*(j**(-19)\/j)\/j)\/j*j)\/j)) assuming j is positive.\nAnswer: j**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssshsssssshsh. What is prob of sequence ss?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3332.07 to the nearest ten.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:11 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 429586623 to the power of 1\/3, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*v**3 + 27451*b**3*v - 295267*b**2*v**3 - b**2*v**2 wrt b.\nAnswer: 18*v**3 + 164706*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 45*h**2 + 3*h - 132. What is x(45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2957 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r - 2*r = 2596. Suppose 105*j + r = 109*j. What is the highest common factor of 275 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556 divided by 852?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 80. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (174*g - 4966*g - 1011*g)*(g + 2 - 2)*(2*g**2 - 3*g**2 + 4*g**2) in the form i*g + h + z*g**2 + v*g**4 + w*g**3 and give v.\nAnswer: -17409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68664 = -9*h + 1626. Let a be h\/14 - 4\/(-28). Calculate the greatest common divisor of a and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 9*j - 10. Let x be i(7). Suppose 0 = -5*n + 2*c - 3 + 39, -3*n + x*c + 30 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 84*d = -83*d - 11, 2*d = 5*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**3 + 14*p**3 - 29*p**3.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:51 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49502953*r**5 + 73159378*r**2 wrt r.\nAnswer: 2970177180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/36*3362 + (-6)\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 14*q**2 - 17*q + 12. Give y(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h + 2. Let o(z) = 11*z**3 - 8*z - 4. Let j(a) = 5*a**3 - 4*a - 3. Let f(n) = -5*j(n) + 2*o(n). Calculate -7*b(g) + 2*f(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/16*(-2)\/((-68)\/(-17)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 3. Let r be 2\/(-8) - 255\/(-60). Suppose r*w - 14 + 2 = 0, -4*w + 24 = 4*k. Let z(d) = 5*d + 9. Determine k*z(s) + 8*q(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -152. Let n(z) = 3*z**2 - z. Let u(v) = v**3 - v**2 - 3*v + 3. Let i be u(2). Let c be n(i). Solve c*l - f = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 18\/4. Let m(q) = -2*q**2 + 4*q - 2. Let x(g) = 3*g**2 - 5*g + 2. Determine d*m(w) + 3*x(w).\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 5 - 3 + 2*f + 7 to the form y*f + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 10*a + 0*a + 1 - 1 - a + (0*a - 3*a + 5*a)*(1 + 1 + 0))*(-300 - 114 + 26 - 188).\nAnswer: 6912*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 5, 3272 in ascending order.\nAnswer: -11, -3, 5, 3272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24) - 0)*(-1 - -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - i - 6 = 6*r, 3*r - 16 = 5*i. What is the tens digit of r*(3481\/9 - 2\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4403286 millilitres in litres?\nAnswer: 0.0004403286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -208106 - 4?\nAnswer: -208111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -3c8?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:02 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 250513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/(-30) - 351\/780?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 a when three letters picked without replacement from vlalcllalllavllllul?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -39182\/75, -0.3, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -21\/10*o**2 - 24 + 6\/5*o - 3\/4*o**4 + 3\/25*o**5 + 9\/5*o**3. Factor m(i).\nAnswer: 3*(i - 2)*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94.4145 * 0.3\nAnswer: -28.32435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 3*j + 4. Let d be m(4). Suppose -2*o - 3*o + 20 = d. Is 9 a factor of 24\/2 - (-2)\/o*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 22*s - 3)*(-1 + 0 + 2)*(6*s - 16*s - 12*s) to the form p*s + g + y*s**2 and give y.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1387887 and -37\/6476806?\nAnswer: 19430418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-10)\/175*-20*(-182)\/(-130)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -38, 100\/3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17033444.\nAnswer: 2, 4258361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 378?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110123 + 11?\nAnswer: 110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 3*d + 3*d)*(5*d**2 - 4*d**2 - 3*d**2) - 52*d**3 + 655*d**2 + d**5 - 3*d**5 - 653*d**2.\nAnswer: -8*d**5 - 52*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:01 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5372863 (base 9) to base 15.\nAnswer: 3be0cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000048366 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(((-9)\/(-2))\/(1 - 4)). Suppose l - 15 = -2*l. Suppose l*z - 3*q - 108 = q, -z - 4*q = -g. Solve t + 0 + 6 = -u, -4*t - 3*u - z = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 111*f**2 - 300*f - 561. Calculate a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265265.4 rounded to the nearest 100?\nAnswer: 265300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(17\/(-153)) + 5. Let q be 4*(h\/12 + (-7146)\/(-54)). Calculate the highest common divisor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40493?\nAnswer: 40493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10903, 21712, 32521, 43330, 54139, 64948?\nAnswer: 75757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 16 + 1)*(v**2 - v**2 - v**5) + 109*v**5 + 127*v**5 + 6*v**5.\nAnswer: 256*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p - w = 507, w - 389 = -3*p. What is the third derivative of 33*c**2 + 129 - 260 + 153*c**4 + p wrt c?\nAnswer: 3672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*i + 78702*b**3 - 13*b**2*i**3 - 5*b*i**2 - 106*b*i + 105*i**3 - 33*i**2 - 1 wrt b.\nAnswer: 6*b*i + 472212*b - 26*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = 4*c - 923. Suppose t - 6*t = -c. Suppose -94 = -4*k + 2*y, k - 8 = -3*y + t. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -42. Let p = j + 89. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z = -9 - 7. Sort 2, -2, -4, z in descending order.\nAnswer: 2, z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122968 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*l + 25 = 0, 2*w - 20 = -l + 5*l. Factor -d**2 - 3*d + 0*d - 2*d**2 + w*d**2.\nAnswer: -3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52204706.\nAnswer: 2, 37, 397, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - 18. Let v be 5\/((-14)\/(-12) - 2\/2). Suppose -10*u = -4*u - v. What is the remainder when o is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 5*y - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -3\/181, -0.1, 0.2, 4, 7 in descending order.\nAnswer: 43, 7, 4, 0.2, -3\/181, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n*(n*n*n**4)\/n*n)\/(n\/(n\/n**(-1))*n**(-8)*n) assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2225987032 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 + p**2 + p + 1. Let a be (-33)\/11 - 4\/(-2). What is f(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r + 2137. Is 3\/(-24)*4 + r\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + y + 6 = 0, -3*n + 5*y + 23 = y. Let t(q) = 24*q**2 - q + 2. Let v be t(n). Suppose 8*d = 13*d - v. Solve -13 - 2 = d*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 267?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 29081*a + 86 - 29068*a + 2*a**2 + 4*a**3 - 2*a**3 as w*a**2 + s + t*a + o*a**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-490))\/((-61)\/1281)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27593 by 673.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2176 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21268*w**4 + 94*w + 5057335 wrt w.\nAnswer: -85072*w**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-105)\/(-6)*(24\/(-10))\/1. Let t be 18\/k - (-72)\/21. Solve 11 = 2*a - 2*n - 5, t*n = -4*a + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(152) - 3*1*sqrt(152))\/(sqrt(16)\/(sqrt(2) + sqrt(18))) + (-4*(2*sqrt(114) + sqrt(114)))\/(sqrt(24)\/sqrt(4)*6))**2.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, 7.82, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 784*p**3 + 8252*p**2 + 105520*p + 220800 = 0. What is p?\nAnswer: -5, -3, 20, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 - (-4 - (-5 - -4)). Suppose -2*c - 1535 = 5*t, 3*t + 1074 = -n*c - 1233. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47699830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2107*z + 19 - 18 + 2151*z to the form q*z + h and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80.000002024 - -80. Round r to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858255889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6571 + -3.8429. What is the smallest value in -0.06, -4, 3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310301117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 66326020?\nAnswer: -66326005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88462 is divided by 1918?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-3\/16)*v*v**17*v*v*v**(-1\/3)\/v**1)**(-18) assuming v is positive.\nAnswer: v**(-2949\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 630 + 2*i**2 + 319.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9856*t**3 - 68 + 15 + 15 + 24 + 13 - 36*t**2 + 8*t wrt t?\nAnswer: -59136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -b6c5?\nAnswer: -b6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - 185*f**2 + 3*f + 115. Let x be a(-37). Sort -50, 2, -8, x in ascending order.\nAnswer: -50, -8, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.83 and -0.005.\nAnswer: 0.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.1. Let k = -16 - -11. Put -4, k, l in decreasing order.\nAnswer: l, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 96 = 3*r, 4*w + 5*r + 236 = -165. Let v = -92 - w. Solve -v*z - 5 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71962167, -71962170, -71962173, -71962176, -71962179?\nAnswer: -71962182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 860925185.51371 - -18618.48629. Let i = -860943836.00000148 + d. Let s = -32 - i. What is s rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-6)*8\/2. Find the common denominator of 34\/(-51)*255\/g and 33\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 978.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193\/2 + 108. Let f = h - 34\/3. Which is the smallest value? (a) f (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103742834 and 2392.\nAnswer: 414971336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -15. Let q(y) = y**2 + 5*y + 3. Let l be q(r). Suppose 2*f + 5 = 3*o - 3, l*f + 23 = -o. Is f at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241523 (base 8) in base 6?\nAnswer: 21002243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4) - 1) + (-71)\/(-2). Let a be 2\/(-7) + (-65)\/(-7). Calculate the highest common divisor of a and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/3)*j*(j*j**(2\/31))\/j*j*j\/j**(2\/5)*j*j\/(j*j*j\/j**(-7)*j*j*j*j))**(-2\/71))**(-2) assuming j is positive.\nAnswer: j**(-16744\/33015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 140.735 and -1175.\nAnswer: -1034.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-20)*(-5 - -3)\/(-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:47 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**4\/4 + 2*a**3\/3 + a**2\/2 + a - 2. Let f be s(2). Suppose 0*v = v - 1, f*v - 24 = -3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27*(-35)\/630)\/(1\/(-18)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -10. Suppose -4*c = -13*c + 36. Suppose 3 = 5*l + a - 12, -c*l = -3*a + 7. Solve -4*f + l = 3*b, 0*b - 3*b + 3*f + k = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 3 (b) 1 (c) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/4*-4*1\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 9634?\nAnswer: 2254356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1058.891 - -1060. Let m = c + -1.05. Let n = m + -0.0674. Round n to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -526?\nAnswer: 1\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)\/(35*(-5)\/25)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -2. Suppose w*s = s. Suppose s*r = 3*r - 27. Calculate the greatest common factor of 72 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (735\/(-231))\/(6216\/(-592))\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 5*k + 5. Let b(v) = 2*v - 8. Let p(n) = -2*n + 7. Let u(t) = 5*b(t) + 6*p(t). Let i(d) = 2*a(d) - 5*u(d). Let j(f) = 5*f. Give i(j(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 90*w + 125. Let z(m) = 11*m + 15. Let o(j) = 6*n(j) - 50*z(j). Let h(b) = -186*b. Calculate o(h(g)).\nAnswer: 1860*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322 + -1422?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2)*1\/22. Suppose 36 - 11 = 5*l. Let p be l + -7 - 16\/(-7). Sort g, p, 5, 1\/3 in descending order.\nAnswer: 5, 1\/3, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*j - 4, -4 = 2*j - 0*t + 2*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 2*k**5 - k**3 + (-2*k**3 + 0*k**3 + 0*k**3)*(4 - 4 - k**2) - 2496*k**5 - 2298*k**5 + 6307*k**5.\nAnswer: 1517*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.74 - -1.86. Let h = 8.6 - b. Let g = 12.74 + h. What is g rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -32*b - 292. Give a(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.186233cm?\nAnswer: 0.00008186233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 2 = 0. Suppose 5*p = 3*m - 6, -2*m - p + 28 - 24 = 0. Solve m*b - 2*r = 8, w*b + 2*r = -2*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21842, -42252, -62662, -83072, -103482, -123892?\n\"Answer: -20410*y - 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415 and 150645?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u - 262 = -2*l, -3*u = 4*l - 557. Let n = l + 63. Calculate the greatest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 21 = -2*i + 25, 0 = -31*t - 3*i - 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 6*r - 15*r. Solve -2*a - r = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/(6\/8). Let x(k) = -2*k - 2 - 3*k**2 - 2 - k**3 - 2*k**q. What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -22 - (-13 + 16 + 4))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2 + 7*l - 6. Suppose 3*c - 10 = 5. Let g be z(c). Solve -3*a + 4*a = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12466*b - 15970 = 10869*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - q = -8, 5 = j + 2*q. Let i be 2\/(-10)*22\/j. What is the second smallest value in 3\/4, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.97397 rounded to one dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 3*i**2 + 3*i + 4. Let p be m(-2). Suppose d - 133 = -p*u + 1811, 3*d + 1928 = 2*u. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242800947 divided by -26423?\nAnswer: 9189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -101919*c. Let x(z) = -3*z**2. Give x(n(o)).\nAnswer: -31162447683*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 16*v + 6. What is t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 14*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-192)\/9*(-8 - 1). Suppose -4*a + 3*a = -24. What is the highest common divisor of a and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 5. Let y = -6 + o. Suppose -4*x + 33 = 5*m - 6, y = 3*m + x - 22. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sod when three letters picked without replacement from {s: 1, l: 8, h: 1, o: 4, d: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*d**3 - 66*d**3 + 39*d**3.\nAnswer: -93*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (2*(-3*sqrt(171) + sqrt(171)) - sqrt(171)))\/(sqrt(108)\/(sqrt(12)*3)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 56 = -g, -4*c + 17 = -4*g + 57. Let n = c + 16. Calculate the greatest common factor of n and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 13*a - 2. Determine b(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - -1*(sqrt(1088) + -2) - (sqrt(1088) + -1)*6) + sqrt(1088) + -4*sqrt(1088)*1 + 5 + -2 + sqrt(1088))**2.\nAnswer: -672*sqrt(17) + 39217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -501 - -606. Let g = 66.8 - 172. Let d = g + v. Which is greater: 15 or d?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*s**3 - 3881 - 47*s**2 + 2*s + 1954 + s**4 + 1921 - 72*s**5 + s**2 wrt s.\nAnswer: -4320*s**2 + 24*s - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 28690 + 455. Suppose 221 = 9*z - t. What are the prime factors of z?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008385 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 13. Suppose -6*t = -4*t - 10. Let v be d(t). Solve c + 1 = -v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*u + 505092 = -283*u + 585*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -109 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89549.\nAnswer: 149, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 81 = 0. What is the highest common divisor of 297 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - 2 - (4 - 4). Suppose 5*k - y = -7, -2*y = 2*k - 5*y - 5. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -3, -2\/159, 4?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(59584\/1140))\/(1\/14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + -3.89. Let g = -257\/56 - -39\/8. Let m be (-4)\/(-10)*(-13 + 12). Which is the biggest value? (a) m (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 2740468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89603747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -9*y**4\/2 + 21484*y**3 - 2946244*y**2 + 102833360*y - 22706600 = 0.\nAnswer: 2\/9, 70, 4634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 5*h**2 + 8*h - 7. Let j(m) = m - 7. Let b be j(12). Let w(v) = -v**3 + 5*v**2 + 8*v - 8. Let z(k) = b*q(k) - 4*w(k). Give z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 2 + 2)*(-26 + 56*x + 12 + 19*x) in the form j*x**2 + g*x + r and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29260241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + 2.8. Sort n, 0.2, 3 in ascending order.\nAnswer: n, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96576 is divided by 391.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -0*i. Suppose -2*s + 4*x + 8 = 2*s, -4*s = 4*x - 32. Suppose 0 = -s*l + i + 4. Put 2, 4, l in descending order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.16 - 4.16. Let g = 0.1 + 0. Do w and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 21) + -7 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000100011 (base 2) in base 7?\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*h**3 + a**3*h**2 + 4*a**3*h + 4*a*h**3 - 7*a*h**2 - 2 wrt a?\nAnswer: 12*a*h**3 + 6*a*h**2 + 24*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/621 + (2566\/644 - (-39)\/91). Let c = -4 + 4. What is the third smallest value in -7, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17792946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 13375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h. Let i(c) = -7*c. Let x(q) be the second derivative of q**3\/6 - q. Let a = 22 + -28. Let v be x(a). Give v*r(t) - 11*i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10311.\nAnswer: 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*(-176)\/308*4\/(288\/6)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 294?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, w: 2, h: 4}. What is prob of picking 1 d and 1 w?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 11*j - 24. Let f be o(7). Suppose -g = -0 - f. Solve -l + 9 = -g*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225184318 is divided by 686?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/882 (b) 28 (c) 3\/5 (d) 2\/205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:41 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/29 - 65\/232. Calculate the common denominator of 31\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000120770465 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h + 8. Let g = 0 - h. Suppose g*w - 35 = 49. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 - 2*t**2 + 4*t + 1. Let y be p(-4). What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2))\/((-6)\/(0 + -6)). Suppose z = 35*h - 40*h. Solve h = c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q + 62. Let d be z(4). Let c(v) = -v**3 + 9*v**2 + v - 9. Let a be c(9). Is d greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263389 is divided by 37439?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -606.11?\nAnswer: -60.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48332560 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 16*f - 2*f - 25 + 13*f + 28*f**2 + 3*f. Let n be y(29). Solve -i - 3*i + 3*m = -9, n*i + m + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43827721 to the power of 1\/2, to the nearest integer?\nAnswer: 6620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 14) in base 15?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2328 + -2329. Let d(k) be the third derivative of -31*k**5\/60 + k**3\/6 + 2*k**2. What is d(r)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**0\/(r**7*r*r))\/(r**(-2\/3)\/r**0))**25)**34 assuming r is positive.\nAnswer: r**(-21250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvggvvggvvvvg.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 60. Let w(t) = -t**3 + 4*t**2 - t - 2. Let r be w(3). Let k be r + (0 - 1) + 3. Solve -3*d + k*d - g = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m + 20177 = -26383. Is 36 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6524 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: Suppose 0 = -2*w + 7 + 3. Suppose -4*h = l + 14, -5*l - w*h - 12 + 2 = 0. Suppose 0 = -4*d - m + 1977, l*d = -d - 3*m + 1494. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/6*r**2 - 3*r + 0 - 1\/6*r**4 + 5\/3*r**3.\nAnswer: -r*(r - 9)*(r - 2)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 + 13 = -5*o, -4 = -4*k. Let s = 12.03 - 12.09. Which is the third biggest value? (a) 9 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4 + 8945*d**3 + 214199*d**2 + 847495*d = 0.\nAnswer: -8921, -19, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-1) + 185\/(-360)*-9. Let y = -9 - -7. Is y equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -19 + (5 - 1) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-2*10\/80.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -286, -283, -270, -241, -190, -111, 2, 155?\n\"Answer: f**3 - f**2 - f - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 8. Let b(y) = 11*y - 24. Let k(a) = 3*b(a) - 8*v(a). Let u be k(10). Suppose u*o + 3 = o. Sort o, 4, 2 in increasing order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(43995\/(-28))\/15. Is p less than -1255\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -53, -52, -35, 4, 71?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426296836 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 690, 1583, 2822, 4401?\nAnswer: 6314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395251.\nAnswer: 11, 13, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-2780)\/60. Let l = x - -49. Calculate the remainder when l is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 4. Let h(q) = -q**2. Let y(f) = f**3 + 16*f**2 + 15*f + 2. Let l be y(-15). Let a be h(l). Give p(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 15 = 5*n. Suppose -m - 92 = x - 340, -774 = -3*m + n*x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1492364*f**3 + 3*f**2 + f. Let h be c(-2). Suppose 3*v - 7061072 = 2*x + h, 5*x - 4*v + 47499992 = 0. What is x rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -996, -1992, -2988, -3984, -4980, -5976?\nAnswer: -6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 - 78c2?\nAnswer: -7965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*v**5 - 14*v**3 - 2*v**2 + 4049*v.\nAnswer: -980*v**3 - 84*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1181 divided by 78.\nAnswer: -1181\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 25*w + 102. Calculate the smallest common multiple of x(11) and 21.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14765 + 20532. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13729*f**2 - 13729*f**2 - 161*f**5 + (-4*f + 0*f + 3*f)*(-71*f**4 + 35*f**4 - 8*f**4).\nAnswer: -117*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l - l)*(2*l**2 - 4*l**2 + 4*l**2)*(4 - 4 - 7)*(0*l**2 - 2*l**2 + 3*l**2) - 2*l**5 - 3*l**5 + 2*l**5.\nAnswer: -17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - z + 1. Let d be s(0). Let o be 96\/42 - (-2)\/(-7). Suppose -i - o - 3 = 0. Sort -2, i, d in descending order.\nAnswer: d, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/(z*z\/(z\/(z*z**(-1))*z))*z**(1\/2)*z**(-1\/7)\/z*z**(2\/25) assuming z is positive.\nAnswer: z**(853\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 6*z + 4 + 8*z. Let s(v) = -v**3 - 5*v**2 - 4*v + 1. Let a be s(-4). Let j(h) = -h - 1. Calculate a*k(u) + 4*j(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + 4*n**2 + 3*n**3 + (-9*n**2 - 4*n**2 + 4*n**2)*(-8 + 0 + 0)*(n - 4*n + 2*n))*(-4 - 1 + 3) to the form y + t*n**3 + k*n**2 + i*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(-37)*x)))*x)\/(x\/((x\/(x\/(x*x*x*x**(-32)*x*x))*x)\/x)) assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 28249305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = -7044*z - 7050*z + 14105*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2062751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 18. Let j be p(0). Suppose j = 11*r - 8*r. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/684 and 7 + (-42)\/(-6) + (-7971)\/540.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.474886 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164451 and 4584?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1433 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/7, 0.3, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(363))*-3 + -5 - (sqrt(363)*2*-6 - (-4 + -2*sqrt(363))))*3)**2.\nAnswer: -16632*sqrt(3) + 161379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 2*c**4 + 2*c**4 + (2 + 2*c**2 - 2)*(c**2 + 6*c**2 + 0*c**2).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-4 - -348) - (-1)\/4\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294236 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 310662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8406 - 0.1594. Which is the third biggest value? (a) 2\/3 (b) x (c) 10\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -11, -0.5 in decreasing order.\nAnswer: -0.5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a**3 + 16*a**2 - 342*a + 20. What is the tens digit of f(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n + 5*n**2 + 17*n**2 - 36*n**2 + (4 - 2 - 3)*(-2 + 2 - n**2).\nAnswer: -13*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 234, 110, -14, -138, -262?\n\"Answer: -124*v + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 42*h - 9. Let q be 4\/18 - (-671)\/99. Suppose -5*a - 4 = -q*a. Does 17 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z - 18226 + 77298. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h + 220. Let b be d(41). Solve -b = -21*j - 78 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3*b + 3. Let h(y) = -15*y**2 - 40*y - 40. Let s(t) = -3*h(t) - 40*p(t). Let x(j) = 61*j**2 + j. What is x(s(i))?\nAnswer: 1525*i**4 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, a: 3, i: 4}. What is prob of picking 2 a and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - d + d)*(-39 + 39 - 4*d) + (3 + d - 3)*(4*d**2 + d**2 - 3*d**2) + 234*d**2 + 2*d**3 - 565*d**2 + 241*d**2 + 4*d**3 - 4*d**3 + d**3.\nAnswer: 13*d**3 - 90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**4 - 4*a**2 + 4*a**2)*(-5 - 3 + 3) - 3*a**2 + 7 - 7 + 2*a**4 to the form y*a**3 + u*a + f*a**4 + c + x*a**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*p + 48. Let r(s) = -p*s - s**2 + 63*s. Let g(x) = x - 6. Let t(n) = -1. Let h(m) = -5*g(m) + 30*t(m). Give h(r(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**5 + 0*f**5 - 5*f**5)*((-5 + 3 + 0)*(-2 + 3 - 3) + 1 - 2 + 0).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 - 10?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001331985606 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1610)\/(-21))\/(30\/1935)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q + 35. Let w be 4 - (210\/8)\/q. Let s = -26.93 + 27. What is the third smallest value in w, s, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11312 and 92?\nAnswer: 260176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtkwtwtwtkwtt. What is prob of sequence gtwk?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3405*j**2 + 628*j + 6. Let h(k) = -2*k. Calculate q(h(l)).\nAnswer: 13620*l**2 - 1256*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5 and 87191.\nAnswer: 87192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 - (-4 + -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37577577 (base 8) to base 14.\nAnswer: -11691dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*-3*-46. What is the hundreds digit of 4*f - ((-4)\/4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690615?\nAnswer: 3, 5, 103, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:35 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - 2*sqrt(200)*2)\/(sqrt(10) - 3*sqrt(40) - sqrt(10)))\/(-6*(sqrt(2560) - (1*sqrt(2560) - sqrt(2560)))))**2.\nAnswer: 1\/18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 1, c: 3, i: 1, w: 1, n: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyar when four letters picked without replacement from ymoommaorrmrmwyyr.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -82, -53, -12, 41, 106?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -45159 and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1011720*x**2 - 1011720*x**2 + 2*x**3 + 0*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 2.15. Let d = 0.4 - 0.3. Let n = k + d. Which is the closest to 1? (a) 2 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -6 in ascending order.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 1. Determine p(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14862373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 293 = l, -7*d + 879 = 3*l - 3*d. Is l at most 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.2411 to 0 dps.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(10\/6) + -7. Let s(p) = -p**3 - 4*p**2 - 5*p - 5. What is the units digit of s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4807 or -4814?\nAnswer: -4807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.7749mm in kilometers?\nAnswer: 0.0004307749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 151 - (1 + -3 + -1). Suppose 21 = 5*j - z. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/2 - 3*d**2 + 3*d\/2 + 5 = 0 for d.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1641, -1640, -1639, -1638, -1637, -1636?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {z: 2, x: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t + 7*t + 3*t. Let v be l(-1). Let n(h) = -h**2 + 28*h - 73. Let k be n(25). Solve 0 = -k*a - v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 4*h + 6. Let g be j(-4). Suppose g = 4*a + w - 3*w, w - 91 = -5*a. Let m(v) = -22*v - a*v + 35*v. Let t(x) = 4*x. What is 5*m(d) + 6*t(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5))\/(y*y**(1\/10))*(y**(1\/2)*y*y*y)\/y**(-1\/17) assuming y is positive.\nAnswer: y**(719\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 4, e: 16}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 a, and 1 f when four letters picked without replacement from {a: 9, f: 1, j: 1, d: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 22*u - 19*u**2 + 50 - 12*u**2 + 66*u**2 - 19*u**2 - 17*u**2. Is r(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 l when three letters picked without replacement from lqjjlmqmmmml?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44808940987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73290 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 14 = -58 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 418 = -0*p. Suppose -5*h = r - 104, 5*r - 17 = -47. Calculate the highest common divisor of h and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -3*f**5\/40 - f**4\/12 + 3*f - 2. Let t(r) be the first derivative of o(r). Factor t(p).\nAnswer: -p**2*(3*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(5\/45) + -3. Suppose -84 - 30 = -z*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 12*q**2 + 17*q - 12. Let w be g(-13). Let x = w + 67. Suppose 29 = x*s - 40. Solve 0*t - s = -2*t - 5*o, -5*o + 27 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.938 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 3, -22, 100, 4 in ascending order.\nAnswer: -22, -1, 3, 4, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1326*o - 393*o = -7464 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-684)\/(-27) + 4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5319*w - 5319*w + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 330493*z + 3*z**3 - 330493*z.\nAnswer: 3*z**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 318222270 divided by 4028130\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/(-12) - -4)*1\/5. Let k be 125\/(-4)*2\/5. Let w = k + 45\/4. What is the biggest value in -1, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 159*z - 11. Let m(i) = -79*i + 5. Determine -13*m(s) - 6*x(s).\nAnswer: 73*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5125200 to the nearest ten thousand.\nAnswer: 5130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25132 and 194829547.\nAnswer: 6283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**3 - 5*z**2 - 3*z - 7. Let c(s) = 4*s**3 - 2*s**2 - s - 3. Calculate 5*c(m) - 2*n(m).\nAnswer: 2*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 28*m - 41. Let g be y(9). Let b = 734 - g. What are the prime factors of b?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(76) + -2)*-1 + -3)**2 + 5 + 3.\nAnswer: 4*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-7))\/(3*(-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + 24)*10\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 1. Suppose -25 = -k - 4*k. Let a(b) = b**3 - 5*b**2 + 2. Let y(s) = k*h(s) + 4*a(s). What is the derivative of y(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2) + -13 + 5 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -101 - 41*w**2 - 30*w - 100 + 201. Let o(v) = -v**2 + v. Let z(u) = 5*o(u) + q(u). Find the second derivative of z(n) wrt n.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - 335*y + 1014 = 0. What is y?\nAnswer: -338, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/((-18)\/(-4)). Suppose 0 = b + 4*b - 5. Suppose 3*u + b = -2*q, -2*u + 2*q - 6 = -2*q. Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 5*i - 3. Let j be p(5). Let f be ((-8)\/j)\/((-5)\/750). Let l = f + 230. What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.288268\nAnswer: 0.576536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 131884 divided by 1\nAnswer: 131884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24769\/469 + -370\/7. Let j = o - 588\/335. Suppose z + 28 = -4*n - 3*z, -2*n + 2*z + 6 = 0. Is j smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1702320 * -5.\nAnswer: 8511600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 17358 - 328596 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -657*q + 11482. Give w(26).\nAnswer: -5600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14804 = 4*p + 4*q, -5*p = 97*q - 98*q - 18505. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12221 and 20683487?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 169, 679, 1537, 2749, 4321, 6259?\n\"Answer: o**3 + 168*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -796 (b) 0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 11*r**6\/60 + r**5\/20 - 11*r**4\/24 - r**3\/6 - 151*r. Determine d, given that q(d) = 0.\nAnswer: -1, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 5*c - 15. Suppose 4*u - 3*u + 7 = 0. Does 12 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.55 + 2.05. Sort 6\/13, 3, 2, q.\nAnswer: q, 6\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.99 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -4\/5, -8, -620 in descending order.\nAnswer: 1\/9, -4\/5, -8, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 624 + b**2 - 2*b**3 - 624 as n*b**3 + g*b**2 + k*b + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-12)\/(-5)) + -1. Let f be (-7)\/63 + 132\/(-27). What is the closest to c in f, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (5 + (-2 - ((-17 - -21) + -5 + 3))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 0.93897.\nAnswer: -7.51176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 2*j - 20. Let w be d(5). What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/60 + n**4\/2 + 7*n**3\/6 + 31*n**2\/2 + 38*n. Let o(i) be the first derivative of y(i). Calculate o(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 173, 290, 433, 602, 797?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - (1 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 + 1731159*g - 10386918 = 0. What is g?\nAnswer: 6, 1731153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*m - 10876 = -8428 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 8*j + 21. Let h be o(19). Let m = h + 334. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0 + 0*n**5 - 4*n + 2\/195*n**6 - 1\/273*n**7 + 0*n**2 + 1\/39*n**3 - 1\/39*n**4. Suppose k(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 2 - 2)*(884 + 40*a - 884).\nAnswer: 160*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22895, 46951, 71007, 95063?\nAnswer: 119119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2680, 2670, 2660?\nAnswer: 2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 184 in 0.2, -4, 0.6, 1\/39?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + g**2 - 2039241*g - 22 + 13.\nAnswer: g**2 - 2039241*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 43 - (-8 + 13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**3 - 4*s**2 - 16*s - 28. Calculate g(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201 + -11204541?\nAnswer: -11205042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2, 56\/3, 1\/8, 119?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 4*x**5\/5 - 28*x**3\/3 - 12*x**2 + 247. Determine d, given that m(d) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/9258255 and 131\/21192?\nAnswer: 74066040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 + 153*w\/8 + 27.\nAnswer: 3*(w + 24)*(2*w + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-34)*((l*l**(-8\/5)*l)\/l*l)\/l)\/(l\/(l**8\/l)*l**(-30)\/l) assuming l is positive.\nAnswer: l**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85773517.\nAnswer: 17, 41, 109, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118, 136, 116, 16, -206?\n\"Answer: -7*z**3 + 23*z**2 - 2*z + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 88, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -9 - ((-2 - 1) + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 82 + 87 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1671 or -15\/4?\nAnswer: -1671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -22. Suppose 6*d - d - r = 0. Suppose -2*q = -4*p + 30, 0 - 4 = 4*q. Calculate the lowest common multiple of p and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*(1 - 2*j - 1) - 2 + 4*j - 24*j**2 + 15*j**2 + 12*j**2.\nAnswer: 7*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*r + 48, -1738 = 4*r + n - 1732. Factor -70\/3*x + 1\/3 + 1225\/3*x**r.\nAnswer: (35*x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 9*u + 36. Solve 2*a + u*b - 7 = -0*a, 8 = 3*a + 2*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 31382 = -184362. Let a(z) = -1 - 6 + 30385*z + 16796*z + v*z. Let i be a(-9). Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -105084.284.\nAnswer: -42033.7136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030705090 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 4, b: 9}. What is prob of picking 3 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2859 - 44?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 8*h**2 + 19*h - 9. Let g be z(-10). Which is the closest to 1? (a) -1\/17 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -47*q - 7*q**3 + 36 - 32*q + 19*q + 3*q**3 + 28*q**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 20*h. Let b(o) = 45*o. What is b(m(r))?\nAnswer: 900*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4 = u, 2*u + 7 = -0*u - 5*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 74. Calculate the least common multiple of 12 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 20*q**2 - 2018*q + 126. Determine u(56).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -5*s - 5*a, 5*s + a - 15 = 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = -3*n. Solve -22 = 2*b - 4*l, 0*b - n*b = l + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 24788250*u + 24788249.\nAnswer: (u + 1)*(u + 24788249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 - 3*f - 6. Suppose -6 = -2*w + 4*w + 2*v, 5*w = 5*v - 45. What are the prime factors of y(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 2*h + 3*c, 4*h - 5*c = 103 + 32. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from obaaooooafreoffor?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - (-1 + 0)) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -327, -266, -167, -18?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 2. Let j(c) = -1. Let t(f) = 26*f + 12. Let v(i) = -2*j(i) - t(i). What is 16*n(z) + 3*v(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 13. Let k be (-6)\/(-15) + w\/20. What is the closest to k in 1, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217252254 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23782493*b**3 + 255*b - 13777 wrt b.\nAnswer: 142694958*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6743828, 6743836, 6743844, 6743852, 6743860, 6743868?\nAnswer: 6743876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 344 = 42*o. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*o = -270*o - 45. Suppose 0 = o*s - 4*s + 4*r - 50, -5*r + 103 = 2*s. Calculate the remainder when s is divided by 76\/(-4)*(1 + -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.484373 rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12209.1 - 12209. What is the second biggest value in -1\/10, 1\/2, b, -2\/141?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t + 16 - 1\/4*t**3 - 15\/4*t**2.\nAnswer: -(t - 1)*(t + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 2674.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 9*o - 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1501702 divided by -750851?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7458532.\nAnswer: 2, 23, 81071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 6)*(-2)\/6. Suppose -2*m - r = 3*u - 28, -4 = -u + 4*m. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**3 + 30*c + 19*c + 28*c - 55*c.\nAnswer: 18*c**3 + 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 704, 1384, 2064, 2744?\n\"Answer: 680*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 144521 (base 6) to base 9\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479 + 889. Let u = -410.04 + x. What is the second biggest value in 2\/7, u, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/24 + l**3\/2 - 3*l**2. Let z(x) = -x - 4. Let v(h) = -6*n(h) - 5*z(h). Let f be v(0). Is 2 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*n - 2 + 13 = 0, 6 = 2*n. Let i = o + 2. Let -3*y - 3 + i*y + y**2 + 5 = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 divided by -1?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Put 0.2, 0, p in increasing order.\nAnswer: 0, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {t: 3, e: 6, q: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29422 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - f + 0*f. Let p(a) = 3*a**2. Let h(v) = 2*v - 12*v**2 - 2*v + 9*v**2. Let s(m) = -6*h(m) - 5*p(m). Calculate o(s(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1653034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10*28 - (1 - -1). Suppose -9 = -3*s + 3*v, -s = -3*s + 5*v + g. Find the first derivative of 25*q**2 - 4 - s - 4 wrt q.\nAnswer: 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/20*j**5 + 15*j - 8*j**2 + j**3 - 7\/12*j**4 + 0. Let v be d(-8). Solve 0 = -l, 3 = -z + 3*l - v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*x = -1154 - 5110. Calculate the highest common divisor of x and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58505831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467300.35 rounded to the nearest one thousand?\nAnswer: 467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 84192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35796*s**3 + 36029*s**2?\nAnswer: 214776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6, -3*g + 1 = -4*t - 21. Solve -g*q + 6 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -168, -259, -354, -453, -556?\n\"Answer: -2*h**2 - 81*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 3, v: 3, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 50734*j**2 - 59354*j**2 - 2.\nAnswer: -110088*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -1\/2 (b) 77 (c) -2944\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44047059 or 44047060?\nAnswer: 44047059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 66. Let w(d) = d**3 - 4. Let b(c) = -1. Calculate f*w(h) - 4*b(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 2\/2 + -2. Does 15 divide (-717)\/(-12) + (-2)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 123*q**2 + 113*q + 274. What is c(40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 115.063 + -115. Round q to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 11*f**2 - 12*f - 6. Give t(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.54 in -1, -2, -50, -4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2392738, 2392705, 2392650, 2392573, 2392474, 2392353, 2392210?\nAnswer: 2392045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -629, -625, -619, -611, -601?\n\"Answer: q**2 + q - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-10) + (-4)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 123 - 19 = -3*r, 3*r + 5*f - 187 = 0. Calculate the remainder when r is divided by (-4)\/10 + (-168)\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 481 - -2833c?\nAnswer: 287bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.3269964.\nAnswer: 0.03269964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3 (c) -18.6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 4*f. Let r be u(6). Let t = -3 - -1. Let p(h) = -11*h**3 - h**2 - h - 2. Let m be p(t). What is the greatest common factor of m and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**2 - 1. Let p be d(1). Suppose 5*v - 19*v = 238. Let b = 13 - v. Solve -h + 3*i = -p, b = 2*h - 5*h - 3*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjv when three letters picked without replacement from vxjbp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71332 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 111052?\nAnswer: -111043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -394, -676, -1226, -2134?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -2 (b) 4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Let g be 196\/(-11) + (-6)\/33. Let u be 0 + -1 + g\/(-22). Which is the second smallest value? (a) u (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 + 3*m - 6. Let t(f) = f**2 + f - 5. Let v be t(-4). Let p = 11 - v. What is n(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 9*g**2 - 7*g - 4. Let h be q(8). Suppose h*r + 116 = -c + 5*c, 133 = 5*c - r. Let d = c - 18. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 12. Let d be (-66)\/4*(-2)\/(-3). Let g be o(d). Solve -g + 2 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(2 + (-16)\/10). Let n be 51 + 0 - (7 + z). Suppose -2*b = -2*p - 16, 4*b + b - n = 3*p. Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 + 1 + -2). What are the prime factors of (-3 - 103\/(-2))*(1 - m)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7931, 15861, 23791, 31721?\n\"Answer: 7930*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681981?\nAnswer: 3, 59, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188814 divided by -6.\nAnswer: -31469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittiittxotroiriio. What is prob of picking 1 t and 1 o?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/952472 and 103\/1080416.\nAnswer: 72387872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 11*s**3\/3 + 3*s**2\/2 - 6719*s. Determine f(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**0*t))\/t**(1\/4)*t**(-1)\/(t\/t**(-2)))\/((t*t**0*t)**(-2\/51)*(t\/((t*t**(-3))\/t))\/(t\/t**(-2\/15))) assuming t is positive.\nAnswer: t**(-2393\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/32 (b) -1\/7 (c) 0.1161 (d) -1\/10 (e) -3\/7 (f) -2\/5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477 - 235 + 15*o**3 - 244.\nAnswer: 15*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 86?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q + 1 - 1 = 94*q. Are q and 6\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75349145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + y. Let j be 6 - (0 - (y - 1)). Solve -a = j*p - 8, 2*a = -3*a - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p**2 + 75*p + 43. Let h(v) = 19*v**2 - 113*v - 64. Let r(i) = 5*h(i) + 8*s(i). What is the units digit of r(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207458?\nAnswer: 2, 47, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 11:10 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (0 - (-268)\/770). Let x = -4\/77 - y. Which is the closest to -3? (a) -2\/3 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u + 25 = 0. Suppose -7*a = -3*a. Sort -3, u, a.\nAnswer: -3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -475, 3\/7, 5\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let h(s) = 1017*s. What is h(o(t))?\nAnswer: 1017*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from zvbiavvbvnibvib?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30654 and 18538858.\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:13 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111341 divided by 1370447?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (14 - (14 + 16) - -21)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*m**2*u - 2*a*m**2 - 50*a*m*u - 42*a*m + m**2*u**2 - 140*m**2*u - 2*m*u**2 wrt m.\nAnswer: 2*a*u - 4*a + 2*u**2 - 280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*m + 193*m + 5*l = 15, -m + l + 15 = 0. Solve -4*z + 10 = -f - m, -4*f = -3*z + 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 6*c**6\/5 - c**4\/2 + c**3\/2 - 24*c. Find the third derivative of d(f) wrt f.\nAnswer: 864*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 20 + t**2 + 5*t**2 - 18 - 2*t. Let f be p(1). Suppose -3*g - f = -3. Is g less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssnnjo. What is prob of picking 1 s, 1 n, and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/49)\/h*h)**(2\/89)*h**34\/h**(1\/11) assuming h is positive.\nAnswer: h**(1626697\/47971)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:49 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264 + 5?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 65*m - 66*m + 12, 0 = 2*m - 2*n - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17\/3)\/(c*c**5))\/((c**(4\/19)*c)\/(c\/(c\/(c*((c**(4\/27)\/c)\/c)\/c*c)))) assuming c is positive.\nAnswer: c**(-7043\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-734)\/(-6) - (-876)\/(-73) - 6\/(-9). Solve -2*j = -v + 95 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1753 + 1708. Which is the second smallest value? (a) 1 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519535258 to the power of 1\/3, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-13677.99.\nAnswer: -6838.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v*v*v*((v\/v**(-3\/4))\/v)\/v*v*(v*v**1*v*v)**34)**(-7\/5) assuming v is positive.\nAnswer: v**(-34769\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3, 5*y - 3*i + 4 + 10 = 0. What is the closest to y in -2, 2\/17, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 9. Let f be d(-9). Let v = -71\/11 + 7. Put v, 2\/3, f in descending order.\nAnswer: 2\/3, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2, -0.21, -2, -1568, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-9 - 10)) + -1 + 0 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15973786369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317 by 16.\nAnswer: -317\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((-4)\/((-216)\/243)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -647\/5786 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + w = 23, -4*u + 417*w = 418*w - 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 57*f = -62*f - 230299, g + 5*f - 115142 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, 1, 73, 175?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1, m: 1, l: 1, c: 1, t: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - 19*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 + c**3 - 3*c**3 - c**3 - 4*c + 4*c + 3*c**3 - 3*c**3 + 2*c**3 + (2*c - 2*c + 3*c**2)*(0 + 0 - c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118.00000111 - -118. What is r rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) 5 (c) 2\/3 (d) 1260\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11\/207518?\nAnswer: -11\/207518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340.44 - -6.56. Let d = q + -346.99871. Round d to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 4*p**2 + 3*p - 2. Let r = -6 - -12. Let n(i) = i**2 - 7*i + 1. Let x be n(r). What are the prime factors of l(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-v - 3*v + 6*v)*(-3 + 1 + 4) + 4*v - 4*v - 2*v + v + v - 6*v)*(-1 + 1 - 2*v) as b*v**2 + l + d*v and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28 + 28 + 5 + 94 - 65*u wrt u?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**7\/525 - w**6\/75 - w**5\/30 - w**4\/30 - 16*w**2. What is r in n(r) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9209 + 9209 - 291*i)*((0*i**4 + 0*i**4 - 2*i**4)*(2 + 4 - 4) + 3*i**4 - i**4 - 4*i**4 - 2*i**4 - 3*i**3 + 3*i**3 - i - 2*i**4 + i).\nAnswer: 2910*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 1 - 1 + u**3 - 4*u**2. Let v be (-11 - -10)\/((-2)\/(-18)). Let a(f) = 4*f**3 - 17*f**2 + 8*f. Calculate v*z(n) + 2*a(n).\nAnswer: -n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.1 and -15759?\nAnswer: 332514.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127064476 to the nearest integer?\nAnswer: 11272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45314794 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 2*g**2 + 4*g**2 + 3*g**2 + g**2 - 3*g**2 + (-g + 4*g - 4*g)*(-g + 2*g - 2*g) + 0*g**2 + g**2 + 5*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q + 2. Let l be p(1). Suppose -4*m = m + 25. Does l = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(153)*-3)\/(2*sqrt(324)).\nAnswer: -3 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2856973 or 1?\nAnswer: 6\/2856973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.0323 in 2\/55, 1\/8, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8 + 19*i**2 - 3*i - 15*i**2 + i. Let t be u(5). Let y = t - 16. Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11091 bigger than 11089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -111 + 103 + 1 + -2 + -25\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 51845\nAnswer: 21\/51845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -3. Let l = q + 17. Calculate the greatest common factor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95884556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 2*u + u + (0 + 2 + 1)*((1 - 1 + u)*(-1 - 1 + 0) - 137 + 137 + 38*u) to the form p*u + h and give p.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*d + 8 = 0, 12364*u = 12360*u - d + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 13299.\nAnswer: 66495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let a(o) = 8193579*o**2. What is a(n(z))?\nAnswer: 8193579*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - 169 + 489 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 21*j + 27 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*i**2 + 53*i + 1 + 55*i + 37*i - 144*i - 1797*i**4 wrt i.\nAnswer: -43128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -1.12. What is the third smallest value in 4, d, -1.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**7\/11340 + z**6\/810 - z**5\/180 + 7*z**4\/6 + 23*z**2. Let f(y) be the second derivative of s(y). Factor f(i).\nAnswer: -2*(i - 3)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*g**4*r**3 + 15*g**3*r**3 + 2*g*r**3 + 10*g*r**2 - 49*r**2 wrt g?\nAnswer: -336*g**2*r**3 + 90*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 = 5*u. Suppose -10 - 440 = -u*l. What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/((-1)\/2). Suppose -2 = -g*k - 2*m, -2 = m - 4. What are the prime factors of ((-21)\/7)\/(k\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 200200202?\nAnswer: 200200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -43*t + 149 + 739 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*x**5 + 44*x**4 - 23*x**3 - 439*x**2 - 2*x + 10?\nAnswer: -1320*x**2 + 1056*x - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and -9926.\nAnswer: -9925.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**7\/840 - p**6\/120 - p**5\/40 - p**4\/24 + 2*p**3\/3 + 3. Let q(u) be the third derivative of a(u). Let q(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from gezggeeqzesgsq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -312*y**2 + 40*y. Let p(n) = 24*n**2 - 3*n. Let k(s) = 6*g(s) + 80*p(s). Let w(f) = f**2. Determine w(k(a)).\nAnswer: 2304*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -38*u + 34*u. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/9 (b) -4403.2 (c) -1 (d) 0.3 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94118873 rounded to 3 dps?\nAnswer: -0.941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26630 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16550 - 13263?\nAnswer: -33143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 5 - 5)*(g - 4*g - 2*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 - 568d?\nAnswer: -5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 24. Let m(s) = -s**3 - 5*s**2 - 6*s - 4. Let t be m(-4). What is the units digit of t\/6 + 52\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3649.963 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:51 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30618 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16632 and 3234.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37818 divided by -6.\nAnswer: 6303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 3, -0.21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i - 84*i = -7980. Solve 0 = -5*j - 379 + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 63, -4, 39, 6, 1 in increasing order.\nAnswer: -4, 1, 6, 12, 39, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) + (561\/77 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47897, 95385, 142459, 189119, 235365, 281197, 326615?\nAnswer: 371619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 100 = 3*l, -2*w - 4*l - l = -96. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twttwttt. Give prob of sequence twtw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t = 129*t - 649473. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 6*u - 5. Let a be l(3). Let s = 11 + a. What is the greatest common divisor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99311415 divided by -6\nAnswer: 33103805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37553526.\nAnswer: 2, 3, 23, 90709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -5 (c) -0.78 (d) 3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, -5*q + 60 = z - 5*z. Let l(w) = w + 4. Let n be l(4). Calculate the highest common divisor of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + 2 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3026 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.88 - 0.12. Let o = r - 2. Let k = 5.3 + o. Which is the closest to -0.1? (a) 1 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (262*k - 556*k + 340*k)*(k**2 - 2*k**2 - 3*k**2) as m*k**3 + o*k**2 + y*k + j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2864148 divided by 3.\nAnswer: -954716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2975 - 32.9955. Let d = 32.4 + y. Let j = -0.3 - d. Round j to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -414 + 415. Suppose 33*z - 28*z - 2*h - j = 0, 4*z - 2 = h. Which is smaller: 1\/136 or z?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -36.94\nAnswer: -36.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -187605.\nAnswer: -187604.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.044873?\nAnswer: 5.044873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3262)\/161 - -24)\/((-23)\/(-529))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -309, -343, -377, -411, -445?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 11:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-3 + -428 + 11. Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858006?\nAnswer: 2, 3, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133 + 50*q**3 - 23 + 87*q**3 wrt q?\nAnswer: 411*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91.35 - 88. Let b = -3 + n. Round b to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/4))\/s)\/(s**(-20)\/s) assuming s is positive.\nAnswer: s**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -9) + (16 - 13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16256 divided by -3\nAnswer: -16256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 12 (b) -3 (c) -2\/7 (d) 4\/461419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -27*c**4\/2 - 118*c**3\/3 - 232. What is the third derivative of s(z) wrt z?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227.1 - -33204.\nAnswer: 32976.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066*z - 28655 + 33678 = -18011 - 37728 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*z**2 + 208*z - 48.\nAnswer: 4*(z + 6)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*s**2 + 180 - 2325 - 49*s**3 + 1219 wrt s?\nAnswer: -147*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7515, 15478, 23903, 32790, 42139?\nAnswer: 51950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 23*o**2 - 62*o - 24*o**2 + 1089 - 1516. Calculate j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1321310?\nAnswer: 1321313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 1\/31590 (c) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 j, and 1 t when four letters picked without replacement from ggttetteeij.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i**3 - 44*i**2 + 147*i - 76. Let b(a) = -4*a**3 - 11*a**2 + 37*a - 19. Let y(f) = -19*b(f) + 5*c(f). Determine y(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 8*v - 4*v + 9*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:12 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(210\/(-4))*-36)\/((342\/(-19))\/252)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388169364?\nAnswer: 2, 3, 11, 17, 172981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -49. Calculate the greatest common factor of 9 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-962*q**2 - 15 + 1944*q**2 - 985*q**2)*(-7 + 1 + 16).\nAnswer: -30*q**2 - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295151 rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 = 3*k - 16, -5*f - 20 = k. Let h = f - -6. What is the common denominator of 49 and h\/4 - 94\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1305, -1, -4, 5, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -978.9161 rounded to the nearest integer?\nAnswer: -979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 10, 5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.2. Let a = 5.4 - 6. Let z = a + 0.3. Put j, -2, z in decreasing order.\nAnswer: j, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 1\/6, 1, -1, -2, 1333, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/11107271 and -39\/87101.\nAnswer: 255467233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*22\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 12*y**2 + 18820*y + 188403. Give u(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -26 + 111 + b**2 - 31 - 4*b - 24 - 27. Let f be (-4)\/(-2) - (-2 - -1). Give l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62503466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*r**2*w - f**2*w + 23*r**2 + 2*r*w - 52*w wrt r.\nAnswer: 2*f**2*r*w + 46*r + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -1639, -4891, -11047, -21073, -35935, -56599, -84031?\nAnswer: -119197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 + c + 2 - 2 + 2. Let f be r(0). Suppose 11 = f*t - 1. Solve -4*p + t = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*z = 7, -93*z - 52 = 2*a - 89*z. Let p(l) = l**3 + 17*l**2 + 17*l + 26. Give p(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171 + 171 + 24*a**2 to b + z*a**2 + x*a and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5350, 10700, 16050, 21400?\n\"Answer: 5350*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/88 and -67\/116.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 11. Let x be p(-4). Which is the closest to x? (a) 0.3 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*3\/27*(-2 + 2). Suppose -4*h - 12 = m, -h + 989 = -c - 1648. What is c rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + (-2 + 2 + sqrt(162) - sqrt(162)) - -6*(-5 + sqrt(162) + sqrt(162)))**2.\nAnswer: -7020*sqrt(2) + 28278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/3 + m**2 + 2*m - 6. Let c be q(0). Suppose 21 = h + c*h. What is the greatest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4975\/597*4\/50*-15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-290)\/(-58) - (-1 + 1). Let k(b) be the second derivative of 0 - 1\/3*b**4 + 1\/3*b**3 + 1\/10*b**5 + g*b + 0*b**2. Factor k(r).\nAnswer: 2*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 20.05. Let c = -23 - p. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 9. What are the prime factors of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 3*o**2 - 41 + 4 + 188 in the form p*o**2 + m*o + v*o**3 + h and give h.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:08 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j\/j**(-6)*j)\/j)\/j)**47)**10 assuming j is positive.\nAnswer: j**3290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 5*-3*2\/(-10). Which is the nearest to 1\/4? (a) -1 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 15*b - 28. Let k(p) be the second derivative of 0 + 0*p**3 + 0*p**b - 3\/2*p**2 + 1\/10*p**6 + 3*p + 0*p**5. Differentiate k(r) wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12430448 + -0.1242. Round z to 6 dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/32724 and 67\/68865.\nAnswer: 751179420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -64*g + 314. What is l(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/((-6)\/(-8)))\/(3\/(-18)). What is the highest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -5 (c) 0.0388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 257487, 3, 0.3, -0.06 in descending order.\nAnswer: 257487, 3, 0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 6. Suppose h = -4*d + 11 + 6, 3*d - h = 18. Calculate the remainder when 5 is divided by t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6649393t?\nAnswer: 664939300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -45. Let o = h + 74. Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 52. Calculate m(-22).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 + 0*q**2 + q**2 - 2*q + q**2. Let p = 740 + -737. Let i(x) = -4*x**2 + 164*x**3 + 166*x**3 + x - 323*x**3 + p*x. Calculate -2*i(o) - 5*s(o).\nAnswer: o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 96, 165, 264, 405, 600, 861, 1200?\n\"Answer: 2*b**3 - 3*b**2 + 46*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(2\/17))\/n)\/((((n*n**(1\/12)*n)\/n)\/n)\/n)*n**1*n**(-2\/11) assuming n is positive.\nAnswer: n**(6401\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 - -0.03. Suppose -2*t + 5*t - 36 = 0. Let s be (0 - t\/(-28)) + -1. Sort s, 0.1, d in decreasing order.\nAnswer: 0.1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47152503 to the nearest one hundred thousand.\nAnswer: -47200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 25946*c**2. Let v(w) = 15*w**2. Determine k(v(s)).\nAnswer: 5837850*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 7*u**5\/20 + u**4\/6 - 5*u - 7. Let v(t) be the first derivative of m(t). Let v(q) = 0. Calculate q.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, l: 4}. Give prob of sequence fffl.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.495 - -3.5956. Let k = s + -3.1. What is k rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 4970.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.2 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 281.66.\nAnswer: 112.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (3 - 1) - 1. Let i(t) = b - 2*t + t**2 + 3 + 3 - 3. Give i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 81.31. Let p = -0.7 - a. Which is greater: p or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {n: 2, y: 1, b: 11}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb8 + 1?\nAnswer: bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2280\/564 - (8 - 11).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 - 16 = -30*f - 53 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131800351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 - 5*g + 14. Give v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -13 + 1 + 1 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t + 2 - 3 + 1.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*g**3 + 173*g - 173*g.\nAnswer: -1259*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*n**3 - 64*n**3 - 72*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/(t\/(t*t**3)*t*t*t)*(t\/(t\/(t\/(t\/(t\/(t\/t**(-1\/2)))))))**4*(((t*((t*t**(-9))\/t)\/t)\/t)\/t**(-4\/3))**(-5) assuming t is positive.\nAnswer: t**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -217. Suppose 82 = -5*m - 503. Let o = m - c. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*z - 364 + 361 - 3*z wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, y: 3, a: 2, e: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 2*a. Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 8, -0.6 in increasing order.\nAnswer: -0.6, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-6)\/4*1. Let s = 2.24 + -2.14. What is the nearest to s in -0.07, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 10) to base 13.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 112, 393, 942, 1849?\n\"Answer: 15*q**3 - q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -402.926 + -0.074. Let h = d - -407. Which is the third smallest value? (a) h (b) -0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 478 = 5*n, -4*n = 71 - 47. Calculate the least common multiple of s and 1472.\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 + 10*c**2 + 26*c - 3. Determine i(-4).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96*2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 j, and 1 n when four letters picked without replacement from tttjtgtttjtxtttngoot?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**0*b**(-6)*b**(-7)\/(b*(b*b*b\/b**(-2)*b*b*b)\/b)*b**(2\/9)\/b**(3\/4)*(b*b\/((b**(-1\/3)\/b)\/b))**(-2\/21) assuming b is positive.\nAnswer: b**(-1759\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 8. Let k be j(8). Suppose k*u = u - 1. What is the least common multiple of 9 and -3 + (-14)\/(u + -3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 69 = 57. Solve b - 3 + 4 = 3*x, t*b = -4*x - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/32, -2\/15, -997, 16.3, 3, -2?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/12 + 9*m**2\/4 + 37. Determine j so that d(j) = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + i - 3 - 2 = 0, 0 = 3*i + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19173 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92232818.\nAnswer: 2, 29, 1590221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.72 + -1.7. Let h = -230679382\/40089995 - -6\/214385. Let k = -62\/11 - h. Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.6, -38\/5, 16.3, -0.6, -2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.2\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6*22)\/(1180\/885)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 2*d + 1. Let g be x(-1). Let b = -2.3 - -0.3. Let y = b - -3. What is the second smallest value in 0, g, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 v when four letters picked without replacement from mmaavavvvmvaaaam?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239 - -238. Is b > -11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203101203 + -213?\nAnswer: -203102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*a + 384 - 400, a = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3)\/(-1) + 3. Suppose -4*h + 263 - 25 = v*n, 0 = 4*n - 5*h - 215. Suppose -4*j = j - n. Calculate the remainder when 17 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 1698414609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -531 - 212*j + 20*j + 3105*j**2 - 231*j + 52*j + 529 wrt j?\nAnswer: 6210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + -0.27. Let s be (9\/12)\/(9\/(-216)). Let g be s\/45 - (-16)\/90. Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 e when four letters picked without replacement from exxkhaxeehehxhh.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + 5. Let v(f) = 1 + h + 7 - f. Is v(5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -120*k**3 - 65*k**2 - 65*k - 65. Let c(q) = 4*q - 33. Let j be c(-8). Let o(y) = 11*y**3 + 6*y**2 + 6*y + 6. Determine j*o(s) - 6*w(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46574 and 3973.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 30*k**2 - 20*k + 20. Let n(p) = -p**2 + p - 1. Calculate -h(f) - 20*n(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 1. Let k be i(1). Solve 1\/3*y - 1\/3*y**k + 1\/3*y**2 - 1\/3 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5 = 7*b, 5*j - 958 = 5*b - 983 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 3*p, 5*p = -0*p - 4*x - 13. Let q be (3 + 1)\/(p - -3). Solve 0 = -4*y - q*k + 7 - 17, -2*y = -k - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 12. Let d(h) be the first derivative of 5*h**4\/4 + 2*h**3\/3 - h**2\/2 + 3. Calculate the least common multiple of i and d(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -25*f**4 + 10*f**3 - 35*f**2 - 40*f + 30. Let z(k) = -2*k**4 - 2*k**3 - k - 1. Let o(m) = -i(m) + 10*z(m). Find d such that o(d) = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -30*w**2 + 13*w**2 + 11*w**2. Let p(l) be the second derivative of -l**4\/12 + 2*l. Give p(s(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 873 - 873. Solve 35*t - 30*t = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 358.\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.5, -38615 in decreasing order.\nAnswer: 0.5, -0.2, -38615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2353 - 23?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055332931 rounded to six dps?\nAnswer: 0.005533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 1297, 2624, 4209, 5908?\nAnswer: 7577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t)*(6 + 6*t - 6)*(2 + 1 + 0).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 80211.19?\nAnswer: -80211.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 25 = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(66) + sqrt(66)) - sqrt(66))\/(sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = 210, -24*g - 5*f - 13 = -28*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 0, 13\/47, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689733667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36964521817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99582330 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*p**6*u - 50473*p**6*z - 243*p**2*u - 271*p**2 - 3*p*z - 6*p + u*z wrt p.\nAnswer: 15120*p**3*u - 6056760*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 - 10\/3*w**3 - 1\/3*w**4 + 0*w + 5*w**2. List the prime factors of i(-13).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 2)*(-1 - 19*t**2 - 2*t**2 + 2).\nAnswer: -168*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*r - 22 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-175)*(-10)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let h(w) = 10863171*w. Calculate t(h(n)).\nAnswer: 236016968350482*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.22 and 2.\nAnswer: 10.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/24 + l**4\/8 + l**3\/2 - 6*l**2 - 2. Let o(b) = 11*b**3 - 7*b - 7. What is 14*d(w) + 6*o(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -36, 0 in ascending order.\nAnswer: -36, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:06 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13321 - 0?\nAnswer: 13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 153, 343, 503, 627, 709?\n\"Answer: -a**3 - 9*a**2 + 224*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1642 + 0*v**3 + 0*v**3 - 2*v**3 - 4264*v - 1072*v**2 + 0*v**3 - 2614.\nAnswer: -2*(v + 2)**2*(v + 532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6287.80428 minus 0?\nAnswer: -6287.80428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -12. What is the second derivative of 7*l + l - 3*l**b - 6*l wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35640169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 12*r + 182 = 4*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 23\/3?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*z - 18 - 4, d - 2 = -z. Suppose 5*v - 8*v = -42. Is 8\/z*399\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.4, 2, -0.5 in ascending order.\nAnswer: -3, -1.4, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*b - 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -118*d - 112. Let v be o(41). Which is bigger: v or -14854\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*j + 190*j - 65 = 60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(g - g + g) - 4*g - 6 + 6 + (0*g - 2*g + g)*(0 + 3 + 0).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = 5*x, 5 = -2*x - 5*y - 5. Suppose x*l = 4*l - 8*l. Sort -3, l, -1.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, n: 7, p: 1, e: 2}. Give prob of picking 1 p, 1 y, and 1 n.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 153*t**3 - t**2 + t - 1. Let p be c(1). Suppose -6*m + z = -3*m - p, 4*m - z - 203 = 0. What is the greatest common factor of 68 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 86833, 86839, 86851, 86869?\n\"Answer: 3*g**2 - 3*g + 86833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l**3 - l. Let h be w(-1). List the prime factors of -1*51*4\/h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 65695*z - 65714*z + 3 + 2 - 8.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*p - 3)*(-1 + 6 + 0)*(3 - 4 - 1).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -15. Which is the second smallest value? (a) -4 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18\/(-81))\/(-3 + 2508\/666) and -27\/170?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 277.95462s?\nAnswer: 4.632577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023214344 rounded to 5 dps?\nAnswer: 0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31066806820 - -8?\nAnswer: -31066806812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:37 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 6. Calculate b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + -7 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -4 (c) -1\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t + 5. Let x(c) = -11*c - 4. Give -5*b(j) - 6*x(j).\nAnswer: 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 30. Does 2 divide n(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9834 - -2896. Is h a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -3 - 0) + 1556. Is 30 a factor of y\/14 - 18\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 38343502.\nAnswer: 19171751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -226 - 37.944248\nAnswer: -263.944248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -24*o + 259. Let g be f(14). Calculate the common denominator of (-62)\/(-154) - (-11 + (-858)\/g) and -50\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346405446 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.79909 to 1 decimal place.\nAnswer: 148.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/21*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 1. Let f be b(10). Let s = 13 + f. Suppose 4*q = -3*j + 29, -q - s*j + 12 = -8*j. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vejlgjelej. What is prob of picking 2 j and 1 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - i - 23, 0 = -i + 2. Let u(k) = k**2 - 6*k. Let w be u(a). Let t be 0\/((-5)\/(w\/2)). Solve 0 = 5*g + m - 14, -g + 2*m = -t*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*z = -27, 0 = 2*z + 15*z + 7*z + 72 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3365873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 5712*x**4 + 34364*x**3 + 74520*x**2 + 68816*x + 22944 = 0.\nAnswer: -2, -1, 1434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 16623945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 37 = t, 14*t + 1027 = -4*s + 1161 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -17132?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91920386.\nAnswer: 2, 379, 121267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 100, -160, -15, 3.\nAnswer: -160, -15, 0, 1, 3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 9*r - 25. Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 24 = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639, -2582, -5829, -10374, -16211, -23334?\nAnswer: -31737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/663 and 2*((-1244)\/(-144) - (11 - 4))?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 less than -186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -521230 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 690 = -3*t. Suppose -t = 4*b - 9*b. What is the remainder when 68 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + ((-50)\/10 - 1*-5). Factor s*r**2 + 4*r**5 - 796*r**4 - 2*r**3 - 2*r**5 + 792*r**4.\nAnswer: 2*r**2*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6331b2 - 1?\nAnswer: 6331b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1262 + -4?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 134514 (base 6) in base 11?\nAnswer: 9612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v**2 + 2*v + 35. Let x be c(7). Suppose x = -2*j + b + 242, 3*j - 4*b = 2*j + 128. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/3 + 102\/9 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.629456 + -4.63. Round s to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 5*h - 4*m, 17 = -2*h - 4*m + 1. Let s be (1\/2)\/((-1)\/h). Find the second derivative of 8*r + 2*r - 2*r**5 - s*r wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3)\/2)\/((-180)\/1620)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 30427*k**3 - 3*k**2 + 17*k + 9. Let w be x(-5). Let f = w + 2373526. Round f to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -52*f - 2. Let v(j) = -10*j. Give l(v(o)).\nAnswer: 520*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61066 minus 282.36?\nAnswer: 60783.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 121 and 11635.5?\nAnswer: 1407895.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 36*k**2 + 129*k + 306. Calculate x(-39).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -5*m**4\/4 + 35*m**2\/2 + 30*m + 693. Factor u(c).\nAnswer: -5*(c - 3)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*r + 3825 - 2926 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1. Let q = 1\/3097 + -497\/24776. Let a = q - 225\/152. What is the second biggest value in 3, 0, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-110) - (-1382)\/(-22). Let n be t\/(-13) + (-14)\/(-91). Suppose -n*u = -0*u + 2*r - 52, r + 16 = u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1528 and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4\/5 (c) 34 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, and 1 q when three letters picked without replacement from {q: 1, o: 1, y: 3, d: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10073*k - 231657. Give z(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/94 or 1?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314821 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: Let c = -24\/63307 - -63499\/506456. Let z(o) = -o**2 + 7*o + 2. Let d be z(7). Suppose -d*m - 5*b = -5*m - 4, -4*m = 3*b - 14. Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 1385 = 38*r - 35. Let v(h) = 2*h**2 + h. Calculate the remainder when v(5) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4 + 68. What is the greatest common factor of 62 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-100)*-5)\/((455\/25)\/(-7))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-6 - -2) + 5 + (-8 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -32.5342.\nAnswer: -32.5142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.6, 2\/3, 118?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 3*s**3 + 0*s**3 + (3*s - 7*s + 3*s)*(s**2 + 2*s - 2*s) + (11 - 11 - 7*s**2)*(-s - 2*s - 2*s) - 4*s**3 + 6*s**3 + 0*s**3.\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143342 + 1507700?\nAnswer: 1651042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23539155 is divided by 3923192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*1*sqrt(2176))\/(sqrt(1458)*2*4).\nAnswer: 8*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125345?\nAnswer: 5, 11, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/8 - (-5)\/20. Suppose -z*m + 21 = 3*t, -m = -5*m + 16. Put -3, t, 4 in descending order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373974 divided by 942?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -296*j**2*r**3 + 2*j**2*r - 104*r**3 - 129*r - 180 wrt r.\nAnswer: -1776*j**2*r - 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3589*c - 3695*c + 1 + 7285*c. Let j(g) be the first derivative of 4*g**2 + 8*g - 1. What is j(b) - 6*w(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:17 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 15*p - 6. What is the remainder when 264 is divided by h(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-147009\nAnswer: -73504.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -579*j + 998. Let y(x) = 1158*x - 2001. Let f(k) = -7*i(k) - 3*y(k). Differentiate f(c) with respect to c.\nAnswer: 579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 23*l - 3*a - 15 = 0, 2*a + 14 = -3*l. Let r be (-18)\/l - (-6)\/(-4 + 16). Solve 5*z - 3*u + 7 = 0, -r*u + 3 = -4*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**3\/6 + n**2 - 5*n. Let b(q) = -q**2 - 3*q - 2. Let o be b(-2). What is v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.99928361 to two decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7.8, 1\/6, -5 in increasing order.\nAnswer: -5, -2, 1\/6, 7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -544752 divided by -5238?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 40*p**3 - 12*p**2 + 5*p + 6. Let h(q) = 2*q**3 - 2*q**2 + q + 2. What is -4*h(f) + m(f)?\nAnswer: 32*f**3 - 4*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 38 - 32, -16*y - 78 = -5*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*(sqrt(2) + sqrt(2) + 2*sqrt(2)) + sqrt(2) - (-3 + (sqrt(2) - 2*sqrt(2))) - (-2 + sqrt(18) + 4)))**2 + -5.\nAnswer: 18*sqrt(2) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(260\/105))\/((-234)\/624)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2882832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 35544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 + 3) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332585154.\nAnswer: 2, 3, 11, 1679723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z + 7*z**2 - 2 + 10 + z + z. What is the units digit of h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2831 - 1828. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-364)\/(-6))\/7 - (-29)\/(464\/(-32)))*6\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**3 - 4*f**2 - 5*f + 1. Let v(p) be the second derivative of 7*p**5\/20 - 5*p**4\/12 - p**3 + p**2 - 3987*p. What is -4*j(k) + 3*v(k)?\nAnswer: -3*k**3 + k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 2*s**2 + 5*s + 7. Let v be g(-2). Let l(r) = -3*r - 4. Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 25 = -33. Suppose -4*s = -2*h, 2*s + 4*h = h + 16. Solve 0 = -n*r - 3*z + 4, -2*r - 6 = -s*z + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 629 in increasing order.\nAnswer: -4, -1, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from deeeizijedei?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 479.9999289 - 480. Round k to 6 decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10952 (base 11) in base 14?\nAnswer: 5a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11631?\nAnswer: 3, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.39 from -16.\nAnswer: -17.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -190. Let o = g + 84. Let y = -2.1 - -2. Which is the third biggest value? (a) y (b) 0.17 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62653237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.2 + 61.7. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 + -1 - 0 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (1 + -1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 14*b = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s. Let f(p) = 2*p**2 + p. Let z(y) = -4*f(y) + 3*t(y). Suppose -11*g + 9*g - 10 = 0. Let c be g\/2*(-18)\/45. Determine z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**21*h**(-12\/5))\/((h**21\/h)\/h*h\/((h\/h**(-1))\/h)))**(-8) assuming h is positive.\nAnswer: h**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*q**2\/4 - 665*q\/2 - 34.\nAnswer: -(q + 34)*(39*q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -56*d + 210. What is the remainder when 59 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 + -1167\/5. Let t(d) be the first derivative of 4 + 0*d + 3*d**4 + 0*d**2 - 3*d**3 - p*d**5. Determine o so that t(o) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, 0.03, -438, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:48 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 15*m**2 - 12*m + 18. Let x be u(-14). Let w = 14 + x. Solve 5*v + 5*h - w*h = -20, -v - 4 = -5*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + 52*f**2 + 13*f + 230*f**2.\nAnswer: 282*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*u = 193, -6*q + 3*q + u + 197 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 46250451 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28700816119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*h - 3*h**3 - 3*h**3 + 61*h in the form p*h + j*h**3 + i*h**2 + v and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + 12. Let f be (15\/30)\/(1\/(-28)). What is the tens digit of q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 9*k**2 - 7*k - 65. Let s be n(-9). Suppose -o - 2*u = -10, -u + 25 = o + 4*u. Which is the nearest to s? (a) o (b) -1\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.08151819\nAnswer: 0.16303638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01140817 to 4 dps.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12143131 and 2288?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (31 - 1)) + (-26 - 10 - -45).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mamm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 - (-8 - (-5325)\/255))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881414343 to the power of 1\/2, to the nearest integer?\nAnswer: 43375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7270, 14410, 21550, 28690, 35830?\n\"Answer: 7140*u + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 j when four letters picked without replacement from {j: 8, d: 7, a: 3}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8560321393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z + 16 = 0. Let c = -94 + 89. What is the nearest to 1 in z, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.2885ml to litres.\nAnswer: 0.6522885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/15*-2*(-10)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = 2*x. Let n(d) = -3*d**3 + 20*d**2 + 17*d + 17. Suppose 0 = m - 11*m - 170. Let v(a) = a**3 - 7*a**2 - 6*a - 6. What is m*v(u) + x*n(u)?\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -101*h**4\/2 + 818*h. Let c(r) = r. Give w(c(q)).\nAnswer: -606*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111944.\nAnswer: 2, 7, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*z**2 - 179*z**2 + 2*z**4 - 553*z**2)*(-3 - 3 + 5).\nAnswer: -2*z**4 + 696*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 15.847. Let d = l + -0.15300111. Round d to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*n + 13. List the prime factors of 0 - n - 230\/15*-6.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(612) + 3))*-4)**2.\nAnswer: 480*sqrt(17) + 6944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2\/11 (c) -5 (d) -1 (e) 0.025\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -59.96. Sort 0.3, 2\/7, i, 1.\nAnswer: i, 2\/7, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15.7, 0, 1\/4, 1, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45875591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 108\/(-81) + (-20)\/(-6). Solve 0 - 1\/4*b**3 + 1\/4*b**4 + 1\/4*b - 1\/4*b**k = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 7*j**2 - 6*j + 1. Let n be v(6). Let f = 3 - n. Suppose 6 - 18 = -4*c. Solve -a - f*a = c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 28970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5372, 5591, 5790, 5975, 6152, 6327?\nAnswer: 6506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 288.8 times -50.65\nAnswer: -14627.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5. Solve -2*f = -f + y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -3, -230\/11, -2, 45, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16.9. What is h rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0851 - -0.0149. What is the second smallest value in -4\/9, -0.5, 4, i?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2012 and 10.\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z - 18 = -3*f, -5*f - 5*z = -30. Suppose -3*s + 2*p - 165296 = 0, -2*s + f*s + 220402 = -p. What is s rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 149112*p**2 + 1. Let f(k) = k**2. Determine h(f(v)).\nAnswer: 149112*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 113 + 0*k**2 - 26\/3*k**3 - 52*k. Find the first derivative of d(l) wrt l.\nAnswer: -52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-3468)\/8)\/3. Is f less than 289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 5*j**2 - 5*j + 4. Let x(y) = 5*y**3 - 6*y**2 + 6*y - 5. Let k(u) = 6*m(u) + 5*x(u). Let p = 2 + -2. Suppose z - 5*z = p. Calculate k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 3*l - 2. Suppose 1 + 7 = 4*m. Suppose m*g - 10 = -3*t + 8, g = 3*t + 18. Calculate the remainder when r(-3) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 14.4, -3\/7, 101?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -525 - -4727\/9. Which is the closest to 0.6? (a) -2 (b) f (c) 2\/7 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d + 27029220 = -47140380. Round d to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*t - 125*t = 40 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmlmmlvvslv. What is prob of sequence mmlm?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(868\/(-11284))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2672639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (7 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d + 13. Let t be f(6). Let h = t + 55. Suppose j + 4*j = 70. What is the smallest common multiple of h and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/48)\/(67\/5 - (-126)\/(-90)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869*d - 170 = 859*d. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 - 11*d**2 + 19*d - 9. Let l(o) = 55*o**3 - 120*o**2 + 210*o - 100. Let p(i) = -4*l(i) + 45*y(i). Factor p(m).\nAnswer: 5*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -11*v + 704. Let r = v + 88. Suppose -3*m + k + 567 = 0, r*m + 2*m - 3*k - 385 = 0. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(75)*-1 + ((sqrt(450) - -1*sqrt(450))\/(sqrt(24)*-3 + sqrt(6)))**2.\nAnswer: -5*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 + 2*k**3\/9 - 4*k**2\/3.\nAnswer: 2*k**2*(k - 2)*(k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 5*c + 7, -5*b = 5*c - 35. Solve b*p + 2 - 5 = -3*d, p + 5*d = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.96593*0.01\nAnswer: -0.0196593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 39 - 3 = 0. Let q = -159 - -307\/2. Find the common denominator of 14*-5*(-1)\/b and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -453 + 713. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3682 - -3683. Which is smaller: 2\/32207 or y?\nAnswer: 2\/32207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 16 = 4*g - 97 - 76, 5*n = 10*g - 435 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -18. Suppose -11 = -t*y + 373. Suppose 0 = -2*a - 0*a + y. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6678 and 26\/3339.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-785)\/(-28) + 2\/(-7). Let x = u - 51\/2. Calculate the common denominator of -3\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/30, 7, -44, -4, 1, -0.2, -0.8?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjhjjjjjjppjpjeje. Give prob of sequence ppe.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*h + 1453 = -5085 - 8150 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**2 - 2. Let n(x) = 40*x**2 + 6. Let v(w) = 6*n(w) + 17*r(w). Let h(t) = -3*t**2 - 3. What is 3*h(i) + 5*v(i)?\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*k + 41, 0 = 5*k - s + 1 - 39. Let x(w) = -101*w + 1. Let g be x(-1). Suppose -k*r = -4*r - g. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14555 + -12?\nAnswer: 14543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -41. Let z = p + -45. Calculate the remainder when 3*((-31)\/(-3) - -1) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 53*z + 35 = 5*i, -i + 7 = 4*z for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 2. Let x(q) be the third derivative of q**4\/24 + q**3\/2 + 6*q**2. Let t be x(3). Let b be ((-6)\/(-6))\/((-3)\/t). What is f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 - 5*x**2 + 5*x**2 + (-1 + 0 + 0)*(-5*x**3 + 3*x**3 + 0*x**3) + (-14 + 14 - 6*x)*(0*x**2 + x**2 + 2*x**2).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**2 - 4*n - 4. What is a(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*k - 3*k. Calculate the remainder when (10\/k - -161)*(-3)\/(-9) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - o - 2*o**2 + 6*o**2)*(-3 + 4 - 4).\nAnswer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -0.3. Let y = i - 1.5. Let m = y - -1.6. Put -3, 3, m in descending order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711840211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111010 (base 2) in base 9?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180825510.\nAnswer: 2, 5, 118082551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380233 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/349 (b) -0.1 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -451.586359 and 0.1806.\nAnswer: -451.405759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -14. Let d = -71 - v. Let r = -0.4 - -0.1. Sort -5, r, -4, d.\nAnswer: -5, -4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-22) + 478\/2629. Solve 5*f - g - 24 = 0, -4*f + 2*g - 5*g + 23 = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s + 14. Let l(c) = 5*c + 5. Calculate 6*d(h) - 17*l(h).\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15160, -58012, -128554, -226786, -352708, -506320?\n\"Answer: -13845*z**2 - 1317*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -319920*x + 7. Let o(k) = 6*k. Calculate o(b(f)).\nAnswer: -1919520*f + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1825591 - 1825590.0999745. Let d = p + -0.9. Round d to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v - 7. Let p(k) = 9*k - 13. Let s(i) = 11*m(i) - 6*p(i). Let y be s(5). Suppose -y + 1 = -5*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/25 - 2\/(-10). Suppose u = 2*i + i - 2*k, 3*k - 3 = 3*i. Solve -5*b - 5 = 0, -3*x + b = i*x - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002063 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**7\/42 + b**6\/10 + b**5\/10 - b**4\/6 - b**3\/2 - b**2\/2 + 10*b. Find p, given that m(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/11, 14, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.143*0.2.\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 389522.3 years in millennia?\nAnswer: 389.5223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2. Calculate the remainder when (-2)\/(-4)*(-2710)\/4*(-4)\/5 is divided by h(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7826 = 24*j - 8378 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r + 119*r + 32*r + (0 + 3 - 2)*(5 - 5 + 2*r).\nAnswer: 142*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o - 93. Let n be p(-11). What is the greatest common factor of n and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 5, -70, 1, 10 in increasing order.\nAnswer: -70, -18, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4209)\/305 - 1\/5)*24\/16.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-22) + (-1239)\/(-231). Solve 4*s - j*w + 34 - 8 = 0, 4*s + 8 = -4*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 107 = 39. Suppose 2*o - 22 - w = 4*x, -4*o - 32 = 4*x. What is the units digit of x\/8*16\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 713259 or 22111037\/31?\nAnswer: 713259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6 + 18 - 7 - 2*r - 13 + 0*r - r**3 - 13*r**2. Give q(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180182434 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 249 + -238. Suppose -2*p + 316 = -p - 2*u, -4*u - 12 = 0. Suppose -16*b + p = -i*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*h - 10 = 0, -3*j + 0 = h - 11. Suppose 0 = -0*n - j*n. Suppose 5*q + 8 = 28. Sort -4, n, q in ascending order.\nAnswer: -4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -1 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 7*u**2 - 8*u - 12. What is the tens digit of z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 8) to base 5.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634 + 1256 = 450*m - 485*m for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4908, 3886, 966, -4800, -14360, -28662, -48654, -75284?\n\"Answer: -158*l**3 - l**2 + 87*l + 4980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 8. Let s = 4 - 10. Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*5\/2. Let x = h - -2. Suppose 8 = 4*b + 5*n + 1, b + x = -3*n. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/4 - s**3 + s**2\/2 + 1. Let z be y(4). Solve -z = 3*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 63 = 4*q, 12 = 2*s - q - 21. Let y(p) = -6*p + 51. Let x be y(0). Suppose -10*w - 21 = -x. Solve s - w = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - j - 7. Let t be v(0). Let n(f) = -f**2 - 8*f + 2. What is the smallest common multiple of -2*(10\/(-4) - 0) and n(t)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1425 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:14 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 12*p = 72, -4*p + p + 0 + 11 = -4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1532992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(98)*1).\nAnswer: -30 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + n - 15, 2*n + 3 = -2*r + 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (12 + (-1 - 1))) + 7 + -41.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/24*(2 - (-1288)\/(-665)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 110\/3182352*(-5715831)\/345. Let v = m + 1397\/3841. Let w = v - -1\/1588. Find the common denominator of w and -91\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-10)\/((-660)\/(-9))). Let i be 9\/14 + u\/(-154). What is the second biggest value in 0.2, -2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhllhllhlglghg. What is prob of sequence lghg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85\/189641 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.233 centuries in months?\nAnswer: 115479.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 179. Let j = -0.2 - 0.3. Sort l, 3, j.\nAnswer: j, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-140))\/(3\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.013 + -18.07. Let v = x - -0.057. Is v bigger than -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1008) + 3 + sqrt(1008))**2.\nAnswer: 240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 8*n**2 - 8*n + 11. Let y = 6 - 15. Let i be j(y). What is the third derivative of 3*l**i - 2*l**3 - l**3 + l**2 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -226, -184, -42?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 583343007 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18*((-10)\/4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, e: 8, g: 1, a: 1}. What is prob of sequence eg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 + 3*c. Let b(s) be the third derivative of -s**4\/24 - 5*s**3\/6 - 9*s**2. Let n = 10 - 13. Let z be b(n). Determine f(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*n - 112. Let h = n - -21. Suppose h*b - 3*b = 1212. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 198*h - 33. What is u(2)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (22 + -48)) + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 2*sqrt(6300) + 0)*5.\nAnswer: -1800*sqrt(7) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, 0.5, 1\/3, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*t + 28 = 0, 4*q - 207*t + 2 = -209*t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 15*k**2 + 64*k + 543. Give m(-16).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807.5751us to nanoseconds.\nAnswer: 807575.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7609*v**3*x - 3*v**2*x + 57*v*x + 38*x wrt v?\nAnswer: 45654*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let q(r) = -6*r - 3. Let w(g) = -g**2 + 12*g + 6. Let y(n) = -5*q(n) - 2*w(n). Let d(b) = s(b) - y(b). Let i be d(-4). Solve a = i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 1\/14*r**7 + 0 + 0*r**5 + 0*r**6 + 0*r**4 + 0*r - 11*r**2 - 2\/3*r**3. What is the derivative of a(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -4*(sqrt(396)*-1)**2 + -3 + sqrt(396) + ((sqrt(396) + -2)**2 - sqrt(396)) + sqrt(396))*5.\nAnswer: -5935 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121947 divided by 1?\nAnswer: 121947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)*c*c)\/c**(7\/2)*(c\/(c\/c**0))\/(c**5\/c))**(10\/11) assuming c is positive.\nAnswer: c**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/60 + 5*r**4\/24 + r**3\/2 + 6*r. Let d(f) be the second derivative of u(f). Calculate d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 160, 246, 334, 424, 516, 610?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 53*s**2 + 20*s - 34. Let h be y(-17). What is the highest common divisor of 2516 and h?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/7 + 151*k**2\/7 + 194*k\/7 + 39\/7 = 0 for k.\nAnswer: -1, -1\/4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4526 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 13*j - 9*j**2 + 13*j.\nAnswer: -9*j**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 3*s - 24 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-6)*h)*h*h**(-8))\/(h\/h**4*h*(h*h\/h**(-5))\/h) assuming h is positive.\nAnswer: h**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/5 - 112*y**4\/5 + 168*y**3\/5 + 2692*y**2\/5 - 1090*y + 540 = 0 for y.\nAnswer: -5, 1, 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -97015 smaller than -97012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -20. What is the nearest to 1 in -0.4, -2\/3, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**5\/60 - 7*i**2\/2 + 3. Let p(f) be the second derivative of l(f). Find n, given that p(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5563*w**3 - 719687*w + 2*w**2 + 719687*w)*(-2 + 5 - 2) in the form q + j*w**3 + a*w**2 + n*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1833 and -71\/25365.\nAnswer: 15498015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 + 351*o\/7 - 352\/7.\nAnswer: (o - 1)*(o + 352)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*l + 1602052, 0 = -0*i - 2*i - l + 3204076. Let d = i + -402040. Suppose 4*g = 3*g - d. Round g to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -21.7. Let w = j + 0.307. Round w to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let b = 5 - 5. Let m(v) = -v - 20*v**2 - 6 + b*v + 19*v**2. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 85*y**2 + 125*y - 3452. Let m be u(84). What is the biggest value in 3, 14, m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1201 - 2?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-915)\/61*(-4)\/(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 53. Calculate the common denominator of 125*(-1)\/(-6) - 1 and (r\/((-40)\/(-12)))\/((-12)\/(-182)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 1. Let c be n(-1). Suppose -c*f = 3*f + 45. Let j = f - -15. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-147))\/(8560\/5992)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c**3 + 3)*(69 - 226 + 28 - 180).\nAnswer: -309*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101000?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64, -12, 62, 164, 300, 476?\n\"Answer: z**3 + 5*z**2 + 30*z - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225\/7 or -1\/5?\nAnswer: 225\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:44 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 3 (b) -0.31 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*a + 20 = -3*p, -4 = -2*a - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7. Let c(r) = r - 4*r + 2*r + 0 + 7. Let m(u) = -3*c(u) + 2*y(u). List the prime factors of m(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*d - 14*d - 675*d.\nAnswer: -1084*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 12. Let d be w(-5). Let s = 7 + -5. Suppose 3*j - 3*a + 8*a + d = 0, -a - 7 = -s*j. Solve -5 = 4*z - j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103737701 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 381941683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*t**2 - 367777334723 + 367777334723.\nAnswer: 139*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 8*i - 259 = 0. Let a = 259 - i. Solve -4*v = 5*y + 20, -3*y - 2*y - v - 20 = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42130 times -0.057?\nAnswer: 2401.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00222647432 to 5 dps.\nAnswer: -0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1357)\/(-295))\/((-2)\/(-10)). Suppose -22*t + l*t + 20 = -5*c, 10 = -2*c. Solve t*d + 12 = -3*p, -1 = 3*d - 4*d - 4*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11943 - 21953. Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-135)\/(-20) + 87\/(-116). Solve -4*a - f = -a, -3*l = 4*a + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72770 and 192470?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*2*117\/(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*h + 6. Suppose -h*r = -5*s + 311, r = -4*s + 3*r + 244. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = x - 5, -3*x = -a - 0*x + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 + -147. Solve -2*o = l*d + 15, 3*o = 2*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 475, 1096, 1953, 3040?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23*y - 1. Suppose 5*t - 5*n + 5 = 0, 2*t + 2*n = 5*n - 4. What is p(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000253171 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 8. Let q = 16 - u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -1\/3, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2973 and -0.1.\nAnswer: -297.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19166 plus 516617812?\nAnswer: 516617811.80834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 - -134.5. Let g = w + -128. Let t = 2 - 2.2. Which is the second smallest value? (a) g (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**3*j**5 - 12*a**3*j - 30*j**5 - 17*j wrt j?\nAnswer: 160*a**3*j**3 - 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14881 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 r when four letters picked without replacement from rraaasrarssaarraara?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8 and 4\/4701.\nAnswer: 37608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 83. Let z = -9 - -6. Let l = -3.2 - z. Which is the closest to l? (a) v (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000275 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let u = -6.43 - -4.43. Sort 0, u, -3, f in increasing order.\nAnswer: -3, u, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*84\/(-756)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.8 - 6. Let o be (16 + 88\/(-6))*1. Which is the closest to 0.065? (a) s (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/279 - 64\/279. Let w be ((-8)\/(-4))\/((-2)\/(-3)). Suppose -2*d - 5 = w. Which is the closest to g? (a) -3 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -211439772?\nAnswer: -1\/211439772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 254\/(-56) - (-3)\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138085303.\nAnswer: 149, 926747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-11 + 404\/36)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 2:07 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 151071.062+0.02\nAnswer: 151071.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let h(x) = x**2 + x. Let i(l) = 3*l**2 + 6*l + 18. Let q(o) = -6*h(o) + i(o). Determine q(y(p)).\nAnswer: -27*p**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 361836 and 2308671.\nAnswer: 212397732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/2 - 3*j**2\/2 + j = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 46. Let i(o) = 6*o + 46. Calculate 7*a(w) - 6*i(w).\nAnswer: -w + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -33. Suppose 2*v + y*r - 53 = 0, 2*r = -0*r - 6. What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2975 + 3015. Solve -44*y - 12 = -q*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 h when four letters picked without replacement from {s: 3, i: 2, f: 1, h: 4, m: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000010010 + 1?\nAnswer: -10011000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -10) + 0 - (-3 + 19 + 16)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -302735270*x**3 + 131251294*x**2?\nAnswer: -1816411620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8555 = -90*m - 47*m - 8*m for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -140?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 42141*g**2 - 37. Let i(a) = 6*a. Calculate i(o(x)).\nAnswer: 252846*x**2 - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.1 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 832274090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1381 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*r + 27, 3*r - 36 = -2*f - 7. Sort -1, f, 5, 2, 0 in increasing order.\nAnswer: -1, 0, 2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -331042?\nAnswer: -331024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u**2 + 5*u - 5. Let b(w) = -225*w**2 + 63*w - 63. Let s be ((-60)\/(-50))\/(2\/105). What is s*q(i) - 5*b(i)?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 492*g**2 + g + 1. What is the hundreds digit of y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let l(f) = -f + 3257. What is v(l(j))?\nAnswer: -j + 3257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v + 3*w - 31, 0 = v + 4*w - 10. Suppose v*y + 426 = 1572. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1393 (b) -3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -23. Let o(i) = -i**2 - 21*i - 31. Let c be o(a). Let r = 42 - c. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219.3 + 219. Sort -1\/4, -0.017, m in decreasing order.\nAnswer: -0.017, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d + 12?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 9*m + 10*m + 15*m + 6*m.\nAnswer: 40*m + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2 - 4209651*h\/4 - 1973295.\nAnswer: 3*(h - 175404)*(8*h + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*208\nAnswer: -14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 - -154. Sort k, 4, -2 in increasing order.\nAnswer: -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 - -422?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 6*p**2 + 6*p. Let n(g) = -5*g**2 - 4 - g + 0 + 3. Let r be n(-1). Let q be c(r). Sort 2, q, 0 in decreasing order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 * 2.61\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-15)*3\/(-2). Suppose n = 0, -20 = -h - q*h - 4*n. Suppose h*i = -1989 + 36389. What is i rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -119. Let u = 108 + -70. Let t = q - u. Sort 1, t, 3 in ascending order.\nAnswer: 1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = 7. Let g(k) = k**3 + 8*k**2 + 7*k. Let w be g(o). Solve w*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(480\/(-256))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89\/3 + 29. Let h = -0.2 - -0.1. Let f = h - -0.2. Sort -2, f, w in ascending order.\nAnswer: -2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 8*u**2 + 15*u - 7. Is d(-20) 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 w, 1 u, and 1 f when three letters picked without replacement from {t: 6, r: 1, w: 4, f: 1, y: 1, u: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, v: 13}. Give prob of picking 1 v and 3 u.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/11 - 332*k**2\/11 + 13440*k\/11 + 28224\/11 = 0.\nAnswer: -2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:06 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8389 and 2?\nAnswer: 16778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/3 - 20*o**2 - 59\/3*o**3 + 23\/3*o + 14\/3*o**4 = 0. Calculate o.\nAnswer: -1, -2\/7, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 + -99. Solve 0 = k*w + 2*t + 1, 8*w - 5*w - 3*t = -21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 - (-67 - -102 - 218).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 118. Let q be (48\/8)\/(2 - f\/(-4)). Is -2 + q + -5 + 3 + 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**5 + 5*m**4 - 4*m**3 - 6*m**2 + 6*m. Let n(d) = 5*d**4 - 5*d**3 - 5*d**2 + 5*d. Let u(j) = -5*l(j) + 6*n(j). Factor u(f).\nAnswer: 5*f**3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/5 + 92*f\/5 - 40.\nAnswer: 4*(f - 2)*(f + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x = -51*x + 12. Solve 2*d + x*d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*c**3 - 1\/2*c + 0 + 1\/2*c**2.\nAnswer: -c*(c - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5*(-1 - 105\/(-5)). What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -534246?\nAnswer: -534213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*b = 178*b + 170*b - 145 - 1603 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -1305043?\nAnswer: -1305030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*sqrt(1134) + sqrt(1134) + sqrt(1134)))\/(sqrt(28)\/(sqrt(256)*4 + sqrt(256)))*-2.\nAnswer: 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -473105*f*v**2 + 514*f*v - 21*v - 1 wrt v?\nAnswer: -946210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.1, -7\/12, -0.1, -0.01, -650?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-5 - 0) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48 + 26\/3*n**2 + 4*n + 2\/3*n**3.\nAnswer: 2*(n - 2)*(n + 3)*(n + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czccczcczczzccccccc. Give prob of picking 3 z.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-28)\/21 + 1 + 5. Suppose 5*g + 6 = -2*h, 3*h + k*h + 15 = 5*g. Let q(y) = y**3 - y**2 - 9. Determine q(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:44 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*(sqrt(209) - -2*-2*sqrt(209)))\/((sqrt(132) - ((3*sqrt(132) - sqrt(132)) + sqrt(132)))\/sqrt(12)*6) + 1).\nAnswer: -3*sqrt(19)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20dd0 + 0?\nAnswer: -20dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) + -3 + -66. Let f be h\/(-15) + 4\/(-6). Suppose -2*i = -y - 12, 6*y - f*y = -8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 1, r: 2, z: 7}. What is prob of sequence urp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -589\/3829 + 6\/547. What is the third biggest value in 19, -8, o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -3*w**3 + 9*w - 5080. Let u(l) = 4*l**2 - 4. Let m = -1 + -2. Calculate m*p(g) - 7*u(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 14. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -11*c**5\/60 + 400*c**2. Let k(m) = -5*m**2 - 2*m. Let t(a) = -81*a**2 - 33*a. Let j(y) = 33*k(y) - 2*t(y). Give z(j(f)).\nAnswer: -99*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1026\/114 - (-8)\/1. Suppose -2*x + 205390 = 2*f, k*f + 4*x = 18*f - 102720. Round f to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*v + 250 = 66*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52818, 52787, 52758, 52731?\nAnswer: 52706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11101\/463980 - 26\/1221. Suppose 3*i = -5*t + 28, 2 = t - 3. Is v equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4975.781g to micrograms.\nAnswer: 4975781000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -98, -201, -298, -359?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4 - 23*g + 22*g + 0 - 3. Let z(f) = 12*f - 8. Calculate 8*d(y) + z(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from mhemeheeehehhembkmm.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 6, f - 44*t + 17*t + 8 = -13*t - 17*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let r(o) be the third derivative of o**4\/24 - 6*o**2. Determine w(r(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18 - -6) + -1)*(-21)\/6*(-1)\/14.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 23*w**2 + 83*w - 24. Give g(-5).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**2 - 48*x + 141. Let c(d) = -2*d**2 - 13*d + 35. Let f(q) = 6*a(q) - 22*c(q). What is the second derivative of f(j) wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 + 6*w - 5. Let p be a(-5). Let g be ((-4)\/(-6))\/(10\/p). List the prime factors of 2*g + (-4 - -23).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9317621513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 421695 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7488?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -11. Let u be 1*31\/1 + q. Let n = u + -147\/5. Put n, -0.5, -1 in increasing order.\nAnswer: -1, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 13, j: 3, p: 3}. Give prob of sequence jjj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6.9. Suppose -6 + 1 = 3*w - u, 4*w + 3*u = 15. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-540))\/(2\/(-90)*2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1. Let d(j) = -j - 4. Let x(m) = -d(m) + 3*r(m). What is the remainder when 2 is divided by x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*r = -635*r - 104 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 550*r**2. Let p(n) = -99660745*n + 99660745*n + n**2. Determine p(z(y)).\nAnswer: 302500*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-1165)\/1631)\/(48\/14)).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-1131))\/((224\/(-1911))\/(-32))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/3 + 19*m. Let a(q) = 13*q. Determine n(a(d)).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-9)*(-63)\/35. Factor 0 + i*z + 1\/5*z**2.\nAnswer: z*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d + 3. Suppose -4*m + 8 = -2*m. Suppose 16 = -4*s - m. Calculate h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-27))\/((-4)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjavaaja. Give prob of picking 2 a and 2 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2, 44 in ascending order.\nAnswer: -1, 2, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.276 - -3.724. Put -9, 3\/7, -0.3, x in decreasing order.\nAnswer: x, 3\/7, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-36)*2)\/(1169\/1002)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h**2 - 7*h + h**2 - 2*h**2 - 12 + 4. Let w be p(-4). Find the second derivative of -2*v**w - 15*v + 28*v - 9*v wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92053, 184111, 276169, 368227, 460285, 552343?\n\"Answer: 92058*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) + 4)*-1 + sqrt(242))*2 - (1*(sqrt(242) + 0) + -2))**2 + -4.\nAnswer: 132*sqrt(2) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1085805 by 1085805.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 5 (b) -2\/7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 18.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 119900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 13*t**5\/4 + 4*t**3\/3 + 57*t**2\/2 + 7*t + 4. Find the second derivative of w(h) wrt h.\nAnswer: 390*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -842 (base 16) to base 15.\nAnswer: -95e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 66659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 3*r - 6*r)*(0*r + 0*r - 4*r)*(1623 - 1951 + 4231 + 2567 + 2714) as s*r**2 + f + x*r and give s.\nAnswer: 73472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 628 and 368?\nAnswer: 57776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105.25 + 105.5. Which is the nearest to 4\/7? (a) -3\/7 (b) -5 (c) n (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 15*i**2 - 56*i + 28. Calculate the remainder when c(-8) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82636 + 127796. Suppose -28*h + 8*h + n = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21931067, -87724277, -197379627, -350897117?\n\"Answer: -21931070*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 c when three letters picked without replacement from bxizbcxc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**3*y + 25133928*o**3 + 1112*o*y - 12728*y wrt y.\nAnswer: -2*o**3 + 1112*o - 12728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**2 - 49. Let p(d) = -4*d**2 + 24. Let i(h) = -3*o(h) - 5*p(h). Let a(f) = -3*f**2. Give i(a(c)).\nAnswer: 18*c**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 3*o = -6, 2*y = -3*o + 19. What is the second smallest value in -1, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.9 + 0.1. Let l = o + -6. Let c = l - 0.000059. Round c to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.4 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-12))\/(3\/2). Let s = 91 + -817\/9. Factor 2\/3*y**2 + s + d*y.\nAnswer: 2*(y + 1)*(3*y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + ddc4?\nAnswer: ddcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 123627?\nAnswer: 494508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 333291 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**6\/120 - 3*f**5\/80 + f**4\/48 + f**3\/8 - 26*f + 14. Let w(i) be the first derivative of k(i). Factor w(j).\nAnswer: -j*(j - 1)*(j + 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2163 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 5, e: 2}. What is prob of sequence es?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110283023719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 13 - 8*h - 12 - 5*h**2 + 6*h**2. What is y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-10))\/((-55)\/(-110)))\/((-1)\/(-21))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 - (164 - 161).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 3805 + 3763 - 11395 + 3765 + 3*x as o*x**2 + p*x + c + a*x**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20611 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832.364 - 3941?\nAnswer: -108.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqz when three letters picked without replacement from {z: 1, q: 1, w: 13}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48704981.\nAnswer: 13, 83, 45139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 18\/7*c**2 - 36 - 3\/7*c**3 + 57\/7*c = 0.\nAnswer: -4, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 132, -0.4, -1, -5\/2, 51\/2?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 595 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269*o + 112 = 1283*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 726?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3051258 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/585 (b) 8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*b**2 + 175*b**2 - 103*b**2.\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 20*i**2 + 82*i - 103. Let w be b(15). Factor 4\/7*t**w - 2\/7*t**5 + 0*t + 0*t**4 + 0 + 6\/7*t**3.\nAnswer: -2*t**2*(t - 2)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10596685?\nAnswer: 10596685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11078896, -11078895, -11078894?\n\"Answer: c - 11078897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/11 + 164*z**2\/11 = 0.\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 3*p**2 - 1 + 5*p**2 + 169*p + 319*p.\nAnswer: 3*p**2 + 488*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 0*w)*(4*w - 3*w + 0*w) - 3*w**2 + 0*w**2 + 5*w**2 + (5*w + w + 0*w)*(-w - 2*w + 2*w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207 at most as big as 14209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 + 8228*b**4\/7 + 21094*b**3 + 827776*b**2\/7 + 1573080*b\/7 + 884736\/7 = 0. What is b?\nAnswer: -4096, -9, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 + 2*o + 2. Suppose 5*m - 7 = 13. Suppose -m*r + 4 = -5*r. What is k(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:20 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*r - 4*r**3 + 2*r**3 + r**2 - 147*r as w*r**3 + d + f*r + b*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - -534?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than -296\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1, -17390, 0.3, 5, -8.\nAnswer: -17390, -8, -1, -0.05, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 3*m**4\/8 - 2*m**3 + 3*m**2 - 15. Factor b(d).\nAnswer: 3*d*(d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 m, and 1 v when four letters picked without replacement from {j: 1, x: 6, o: 2, m: 2, v: 3}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4749119 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257979*y**2 + 58597 wrt y.\nAnswer: 515958*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2966304\nAnswer: 1\/1483152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/11)\/(i\/(i\/(i\/i**18*i))))\/((i\/(i**(-20)\/i*i))\/(i*i**2*i)))**38 assuming i is positive.\nAnswer: i**(-456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 6*d + 8 = 0, -3*m - 3*d = 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -6\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2334*g + 2344*g = -r - 15, -2 = g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/(-6) - 15\/18. Let w(g) be the first derivative of 117*g**2\/2 - 19*g - 2. Is w(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-6))\/((-2)\/(-16)). Suppose 2*f + 2 = 0, -5*j + 4*j = 2*f - 2. Calculate the greatest common divisor of j and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-645)\/51 + 432\/(-1224).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*v + 22 = -0*v, 3*p + 4*v - 37 = 0. Suppose 14*f - p*f - 93 = 2*y, -284 = 3*f + y. Is -3*(3 + f\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -27 + 5*d + 6*d**2 - 3*d**3 + 34 + 4*d**3. Determine l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5887*v**2 + 15*v - 48*v + 5888*v**2 + 33*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**0*c)\/c)**(-3)\/(c\/(c\/c**1))**(-4\/11) assuming c is positive.\nAnswer: c**(-29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, -469, -4, 752, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200651.\nAnswer: 11, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069929408 to the power of 1\/2, to the nearest integer?\nAnswer: 77910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/28 - 3\/21*-1. Let m be 1826 + -2*(x + -3). Let v = m - 1027. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2301 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000969 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1173, -1097, -1021?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -547, 0.1, 1\/4, -9\/31 in ascending order.\nAnswer: -547, -9\/31, 0.1, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5760 and -83\/1492992?\nAnswer: 7464960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.009, 0.5, 0.06, -0.4, 153, 5 in descending order.\nAnswer: 153, 5, 0.5, 0.06, 0.009, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*w + 22*w - 5*t + 17, -3*w + 3*t + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:03 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -116416, -116423, -116426, -116425, -116420?\n\"Answer: 2*f**2 - 13*f - 116405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438\/(-12)*(-8)\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqq when three letters picked without replacement from ququ.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699656 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472702533?\nAnswer: 3, 157567511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 21*a. Is 10 a factor of g(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613259.\nAnswer: 491, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 5. Suppose -5*h - 42 = 4*w + 22, -5*w + 2*h = 47. Let v be l(w). Let c = v + 11. Solve -c*i - 8 = 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 252*u. Let b(h) = 2*h**2. What is b(f(m))?\nAnswer: 127008*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 + 51*v**3\/2 + 105*v**2\/2 + 53*v\/2.\nAnswer: -v*(v - 53)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681247 a multiple of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) - (-114)\/22. Let y(h) = -8*h + 8. Let x(a) = 8*a - 7. Let p(f) = t*y(f) + 6*x(f). Differentiate p(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3465)\/36*(-4356)\/(-5445).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and -27\/560.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeoothhhohohthtt. Give prob of sequence othh.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/8)\/c**(-3\/2))\/((c*c*(c\/c**3)\/c)\/c*c**(2\/11)))**(1\/10))**(-2) assuming c is positive.\nAnswer: c**(-281\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 55 - 97*v + 50 + 23 - 93. Let h be w(32). Let q(t) = t**2 - t - 1. Let i(o) = -2*o**2 + 2*o + 3. What is h*q(s) + i(s)?\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(4890*r + 94*r**2 - 4890*r).\nAnswer: 94*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 5 = 24*r. Put -4, r, -5, -7 in ascending order.\nAnswer: -7, -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/13 + 2*v**4 + 66*v**3\/13 + 62*v**2\/13 + 20*v\/13.\nAnswer: 2*v*(v + 1)**3*(v + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 64 - 115)*(35*n - 36*n - 48*n**5 - 4*n**5).\nAnswer: 2496*n**5 + 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1329*m**3*r**3*t - 1017*m**3*r**2*t**2 - 2*m**2*r**3*t - 2*m*t + 698*r**3*t**2 + 10*r**3 wrt t.\nAnswer: -2034*m**3*r**2 + 1396*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 6*k - 4. Calculate the remainder when f(7) is divided by -15*(52\/(-25) - 1 - 18\/(-225)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 25 + 9 = 0. Suppose -6*f - 2 = -26. Suppose w + 58 = 5*w + 2*j, 2*w + f*j = 44. Solve -y*h + 0*h = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124204 (base 5) in base 7?\nAnswer: -113632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 45818539 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -3*a + 281. Differentiate -5*f**4 - 14*f + 2*f + 19*f + 193 - a wrt f.\nAnswer: -20*f**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197001646?\nAnswer: 2, 98500823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let x = -0.3 + -0.1. What is the nearest to 1 in h, -0.3, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*i + 2 + 3, -3*j = 5*i + 15. Let t(n) = n**3 + n**2 + 2*n + 2. Give t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 - -6)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24274089*x**3 - x - 15635609 wrt x.\nAnswer: 145644534*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2678.252835 and 706?\nAnswer: 3384.252835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 + 187. Let s(z) = -8*z**2 - z + 7. Let b(w) be the first derivative of -w + 1 + 1\/3*w**3 + 0*w**2. What is y*s(a) - 6*b(a)?\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:58 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206216 and 1504408.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-650)\/910)\/(6\/(-21))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136))\/sqrt(8) + -1*(sqrt(68)\/sqrt(4) + sqrt(17)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/(-129)*480\/(-256).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 - 10*t + 9. Let o be j(-9). Let x be ((-2)\/4)\/(2\/48). Let k be (-2)\/8 - o\/x. Solve -8*y = -4*y + k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 5. Let z be 4\/(2 - 6) + 1. Let w(p) = -p**2 - p + 1 + z*p + 0*p. What is w(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12 and 69\/3668?\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2699549?\nAnswer: 17, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = 5*j, 39*j - 40*j - 10 = -5*x. Is j greater than 63\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 - 5 = -6*t. Let b = t + -28. Suppose -4*d = -7 - b. Solve 0*s = -5*s - d*a - 33, -s = -a + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:52 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/(2322\/(-54))*81\/(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.1498\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 183, 196, 209, 222, 235?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(112) + sqrt(112) + -1)*5 - 1*(sqrt(112) + 0))**2*5.\nAnswer: -272910 + 10800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 i, and 1 m when four letters picked without replacement from mnmmnimmun.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37939 - 37927. Solve -p*z = 2*g - 13*z - 2, -g - 8 = 4*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -2.95. Let p = 23 + -22. Which is the third smallest value? (a) 0 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -z - 34, -3*k + 554 - 495 = 4*z for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) 0.4 (c) -31 (d) 1 (e) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 53*l - 47. Let q be n(-25). What is the highest common divisor of 6 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402 and 36.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/5 - 8216*r**4\/5 + 1207002*r**3\/5 + 8216*r**2\/5 - 241400*r = 0. What is r?\nAnswer: -4250, -1, 0, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.03 - 0.03. Sort -1\/3, g, -1\/9 in decreasing order.\nAnswer: g, -1\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1121464*-9\nAnswer: 1.0093176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by -2\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94*((-10)\/(-4))\/(-5). Let w be j\/70 - 16\/(-32). Let q = w - -1\/10. Which is the closest to 0.1? (a) -5 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/10517 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 80 = 7*w. Suppose -r = 3*r - w. Suppose 0 = -4*z + 14 + 2. Solve -b = z*o - 0 - 6, 3*o + 5 = r*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 25*u**2 + 25*u + 21. Determine s(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:40 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - -2.26. Which is the third smallest value? (a) 0.4 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, -270 in descending order.\nAnswer: -2\/7, -3, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340536359?\nAnswer: 5507, 61837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 5*i, 0 = -x + i + 4. Suppose x*w + 130 = 172. Solve 18*z = w*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3828\/580 - (-24)\/10. Calculate the greatest common factor of p and 2637.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 21*l - 23. Let z(s) = 7*s**2 + 19*s - 22. Let a(f) = -6*j(f) + 7*z(f). Determine a(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.067918 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c + 2*c - c + (-c - c + c)*(8 + 11 - 9).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 14, c: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 - -117. List the prime factors of (-938 - 0)*m\/(-280).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 464 + -255. Let o = c - 187. What is the remainder when 60 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4194, -4057, -3930, -3819, -3730, -3669?\n\"Answer: -h**3 + h**2 + 141*h - 4335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w - 2067. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088.321 decades in months?\nAnswer: 610598.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13023221 (base 5) to base 14\nAnswer: -34250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yygcixxcyilyyix. What is prob of sequence igcx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a9 (base 16) to base 15\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, u: 9, q: 1, b: 2}. Give prob of sequence uqt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*c*z**3 + 478*c*z**2 + c*z - 35018*z**3 - 4*z + 629 wrt z.\nAnswer: 810*c - 210108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83099378 to the nearest integer?\nAnswer: 9116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let i be ((-4 - w) + 0)\/2. Let g be (-3*(4\/i + 1))\/(-1). Are -12 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (5 - (3 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + 10 + (9 - -1) + -24.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)*o**0)**29\/((o**(-1)\/o)**(-2\/99)\/(o**(2\/5))**21) assuming o is positive.\nAnswer: o**(47459\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*h - 2*h**2 + 123*h - 43*h - 40*h + h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58976)\/(-528960) - 2\/20.\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 110 and -30559343068?\nAnswer: 30559343178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -115*m**2 + 4*m. Let b(g) = 8164*g**2 - 286*g. Calculate 2*b(t) + 143*c(t).\nAnswer: -117*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 217577*p\/7.\nAnswer: -p*(p + 217577)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/24 - m**3\/6 + m**2. Let b be k(0). Sort b, -10, -5 in increasing order.\nAnswer: -10, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -25*y**4\/24 + 3*y**2. Let t be g(-1). Suppose x = -h - 4 + 11, -4*x = 5*h - t. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l + 18. Let a(q) = 12*q + 30. Let r(p) = -3*a(p) + 5*w(p). Let s(b) = 1402*b**2. Determine s(r(g)).\nAnswer: 22432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(171) - (sqrt(171) + 3*(-2 + sqrt(171)) + sqrt(171))))**2*2.\nAnswer: -1728*sqrt(19) + 33264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 4*t**2 - 4*t. Let k be o(5). Suppose -14 + 6 = -i. Suppose -a = -k*a + i. Calculate the remainder when 3 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436599250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91.9 + 104. Let h = s - 12. What is the third smallest value in -2\/3, 0.07, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 513*z - 261*z - 252*z + 526*z**2 - 674*z**3 wrt z?\nAnswer: -4044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 4*w + 138 = 0, -27*w + 29*w = 4*l - 58 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/6 - 2\/6. Let p = -30471\/11 - -2766. Calculate the common denominator of p and (-3)\/q - 242\/(-60).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48263000 to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 36 - 16, -t - 2*s = -4. Let f(x) be the second derivative of -x**3\/6 - x**2\/2 - 4*x. Calculate f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1890 = -11*k - 10*k. Let z be 34\/51*(k\/4)\/5. Solve -12\/7*j**2 - 8\/7*j**z - 2\/7*j**4 - 8\/7*j - 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/5, -27, 38, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = -2*y + 21, 2*j = -y + 9. Find the third derivative of y*f**2 + 0*f + 7*f**2 + 0*f - 3*f**5 wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1, 0.04, 5924?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let x(l) = -l**2 + 8 - 8 + 3*l**q. Let n(r) be the second derivative of -20*r**3\/3 + 506*r. Calculate n(x(m)).\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v + 0*v)*(-v**4 - 4*v**4 + 3*v**4) - 2*v - 3*v**5 + 6*v**5 + 6*v.\nAnswer: 7*v**5 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 35*a**2 + 6*a - 14544. Give y(-43).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m**3 + 166*m**3 - 70*m**3.\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -59, -5 in ascending order.\nAnswer: -59, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1218?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 3*s - 4*s)*(-3*s**3 + s**3 + 0*s**3) + (0*s - 2*s + s)*(-2*s**3 + 4*s - 4*s) - 3*s + 3*s + 3*s**4.\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 + 2)*(-11*j - 15*j - 9*j).\nAnswer: 350*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/t**(2\/15))\/((t**(1\/8)\/t)\/(t\/(t**(-5)*t))))\/(t**(2\/5)\/((t\/(t**(-4)\/t))\/t)*(t**(1\/5)*t)\/(t\/t**0)) assuming t is positive.\nAnswer: t**(1937\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100888644.083 take away -6772?\nAnswer: -100881872.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*y = y + 30, 4*q - 5*y = -12. Suppose -21 = -q*p + 19. Calculate the greatest common divisor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose -2*d + 10 = h + h, n*h = -5*d + 25. Suppose -5*f - 35 = -d*a, 0 = -0*a + 2*a - 4*f - 22. Solve -7 = -4*z - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2369 divided by -103?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 + 31683*n**3 + 21*n**2 - 221799*n + 190098 = 0. Calculate n.\nAnswer: -3, 1, 2, 10561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7. Let i be (2 - 2)\/(-2 - r). Let d(c) = i + 0 + 2*c**2. Let q(g) = 4*g**2. Calculate q(d(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.2753 months in years?\nAnswer: 11.856275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*v = -3*t + 20, -4*v = -t - 5. Suppose -a + 272 = 3*x, -30 = -x - t*a + 58. Suppose -3*u + x = 25. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 2 (c) -3\/2 (d) 4 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/q**(-1\/2)))**(-12)\/((q*q**7)\/((q**(-6)*q)\/q)))**(-30) assuming q is positive.\nAnswer: q**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 2. Let k(z) = z + 1. Let s(x) = 5*k(x) - 2*w(x). Let u(c) = c - 4 + 2 + 1. Let i = 19 + -16. Determine i*u(d) + 2*s(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 443, 665, 887?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/14 - 6\/(-14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m - 7. Let k(x) = 7*x - 6. Let h(y) = -4*k(y) + 5*o(y). Let f be h(7). Solve -3 = f*t - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 - 7 = 0. Suppose -44 = -i - 5*n, i - f*i - 2*n = -48. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:18 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*q + q - 15 = 0, 3*z + 3*q = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 3*p - 2. Let m = 14 + -10. Let o be d(m). What is the second derivative of -32*h**2 - 9*h + 32*h**o + 17*h**5 wrt h?\nAnswer: 340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*-6 - ((sqrt(11) + 2 - sqrt(11))**2 + -2).\nAnswer: -18*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935 a factor of 2003236264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - -4) - (-29 - -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 4450?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4655 and 22743.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 10140?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 + 15*s + s**3 - 4*s**4 - 1 + 14*s - 31*s to y*s**2 + g + x*s + i*s**4 + l*s**3 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 35*c - 214\/3.\nAnswer: (c - 107)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 135, 128, 119, 108?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6967, 56055, 189311, 448819, 876663, 1514927?\nAnswer: 2405695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (11 + 15 + -7)) + (3 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from kkkkkhxkxkh?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5761902 is divided by 823120.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 6*v = -12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*h + 1, 0 = -2*s - s - h + 4. Let r be -1 + (-27)\/18*4\/(-6). Is r smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2. Let p(h) = -282151256*h**2. What is y(p(s))?\nAnswer: 159218662524755072*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 849*w + 0 - 551*w + 0 as h + k*w and give k.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4130 divide 139909554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34401 - 16001. What is d rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29147056 and -5?\nAnswer: -145735280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 344, 130, -180, -592, -1112, -1746, -2500?\nAnswer: -3380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 560238433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 115 = -14*n. Suppose -b = 2*i - 579, -8*i - 5*b - 1123 = -n*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 59, 88, 117, 146, 175?\n\"Answer: 29*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f + 48. Let a be u(38). Let k = a - -692. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 61. Let x(d) = -d + 1. Let t be x(-3). Solve v - t*v + y = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 1, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*u - 378*u - 42*u.\nAnswer: -327*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3184, -3185, -3186, -3187, -3188, -3189?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 s when four letters picked without replacement from rsfefsnsfsnl?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25430 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - 2*p**2 + 2*p**2 + (0*p + 0*p - p**2)*(-2 - 1 + 5) - 1 + 1 + p**2 + 5 - 5 + 2*p**2 + (3 - 5 + 1)*(-2 + 2 + p**2) + p**2 - 3 + 3.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -110087.39 and -574.9?\nAnswer: 109512.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*n**4 - 2*n**2 - 10991863*n + 343643030.\nAnswer: 20*n**3 - 4*n - 10991863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/18)\/1*1311\/(-46))\/((-3)\/6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-25) + (-65601)\/(-925). Find the third derivative of 214*r**2 - 228*r**2 + z*r**3 + 110*r**2 wrt r.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7 = -5*k. Let l = k + -21. Let c = -61 + l. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 276, 479, 714, 981, 1280?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202607 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -3 - (-310)\/(-55). Let q = 25.2 + -23. Let r = q - 0.2. What is the nearest to b in 1, r, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -31b2?\nAnswer: 31c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*l + 118656 - 72656 = 0 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 10*x**2 + 16*x - 4. Calculate c(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -225, -444, -661, -876, -1089, -1300?\n\"Answer: b**2 - 222*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-1134))\/(26\/(-18))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 12*a)*(1 - 1 + 3)*(-2*a - a + 0*a)*(-1 + 1 + a**2) to n*a**3 + t + b*a**4 + d*a + r*a**2 and give b.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 35309775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*w + 650*w + 20 + 13 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 24*a - 1522. Let j be k(73). What is the greatest common factor of j and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 8*l = 4*l. Suppose l = v + 2*f - 12, -2*f + 1 = -9. Suppose 0 = 4*j + 35 - 87. Solve v + j = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*j + 50, -5*w - 42 + 7 = -2*j. Let g be 25\/(-20)*6\/w*-2. Calculate the common denominator of -63\/34 and (-2)\/8*((g - 14) + -6).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1342, -1448, -1540, -1612, -1658?\n\"Answer: i**3 + i**2 - 116*i - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753031769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -607149.80922 and 0.089.\nAnswer: -607149.72022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*-2 + 4. Suppose 17 = -s*z - 7. Let x be 1*(-4)\/8*z. Solve -x*m + 3*j = -25, -5*m - j + 11 = 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 9) in base 6?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.3 + -2.13. Let f = -0.17 + v. Let y = 2.97 + 0.03. What is the nearest to y in 0.3, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-15)\/(-39))*((-11782)\/258 + 50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*q + 50*q = 4121 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601615.\nAnswer: 5, 7, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2187 or -3\/2?\nAnswer: 1.2187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.62 - -30.38. Let a = -30.9966 + g. What is a rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p - 33. Give g(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 + 5*d + 1. Suppose -3*y - 25 = -8*y. Let v be j(y). Let s = v - 22. Solve -s + 0 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/563 - -1506\/53485. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 48)*(1 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4421562463 to the power of 1\/2, to the nearest integer?\nAnswer: 66495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9867572 divided by 23.\nAnswer: 9867572\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 4. Let q be d(-3). Let p = q - -11. What is the nearest to 2 in -1, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/5)\/((-582)\/4365). Let z(r) = 8*r - 4. Calculate z(i).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*g**3*s + 10*b*g**2*m - b*m*s + b*s + 16*g**3*m + 3025*g**3*s - 85*g**2*s wrt g.\nAnswer: 12*b*s + 96*m + 18150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 24, 2, -745 in increasing order.\nAnswer: -745, -2, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/4 and -61\/31798?\nAnswer: 63596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/51)\/v*v*v*v**17 assuming v is positive.\nAnswer: v**(968\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1497 in -4, -5, -41, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.025, -6, 0.5, 2\/7, -0.2, -33?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 20*k + 36 = 0. What is the greatest common divisor of k and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 - 191 = 2*v - 4*g, 0 = 2*v - 903*g + 919*g - 30 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/(17\/(102\/(-12))). Let q(d) be the third derivative of -1\/3*d**3 + 0 - 1\/24*d**4 - d**2 + p*d. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -3, 7, -2 in decreasing order.\nAnswer: 10, 7, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - 0 - 0) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 3378257?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-3)*n))\/n**(1\/15))**(-3\/5) assuming n is positive.\nAnswer: n**(-44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 - (-2)\/(8\/4)). Let b(v) = 10 - 644*v - v**3 + 10*v**2 + 645*v + 2*v**3. Let a be b(-10). Solve -2*t - i + 5 - 12 = a, q = -t + 5*i + 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 470*h**3*j**3 - 89*h**3 + 2*h*j**2 - 2*j wrt j.\nAnswer: 2820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2876 + 4398. List the prime factors of p.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*u + 4, -u + 4*j = -4*u - 6. Let o = 0 - u. Factor 12*h**2 - 8*h - 2*h**4 + o + 0 + 4*h**4 - 8*h**3.\nAnswer: 2*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 74*x - 4 - 75*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1451*y**2 - 1061 wrt y.\nAnswer: -2902*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 + -4) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (sqrt(425) + 0 + -3)**2 + (sqrt(425) + -1*(-2 + sqrt(425)))**2 + sqrt(425).\nAnswer: -25*sqrt(17) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, b: 2, m: 1, r: 1, f: 2, a: 4}. Give prob of sequence fbt.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*n - 8, 1 = n - 0. Solve 5*i - 14 - d = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let l(y) = -215*y. Determine l(p(j)).\nAnswer: 215*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231395 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzt when four letters picked without replacement from zztzztt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 81. Suppose 4*u - 20 = -2*b, -5*b + q + 1 = u. Suppose -2*h = b, r - 2*h - 152 = -15. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -416 - 3*z + 2300 - 1108 in the form f*z + v and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*w = 44, -2*w - 16 = 5*h + 39. Let l = -8 - h. Suppose -l*z + 56 = -100. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + z. Let l be f(3). Let y = l + 8. What is the derivative of 5 - y - 4*a + a wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwanjbwa. Give prob of picking 1 a and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -5. Let j = 7.1 + s. Which is bigger: j or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 + 2*k**2 + 5*k - 4*k**2 - 12 + 3*k**2. Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 18152924.\nAnswer: 5\/18152924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21793691, -43587383, -65381075, -87174767, -108968459, -130762151?\nAnswer: -152555843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(1563*n + 504*n + 3127*n - 623*n).\nAnswer: 4571*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -145, -140, -145, -166, -209, -280, -385, -530?\n\"Answer: -p**3 + p**2 + 9*p - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.67 - 14.5. What is b rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -599 and 2.\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*y + j, -5 = 5*y - 7*y - 3*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138527939.\nAnswer: 11, 73, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-10)*(-5)\/(-2). Let y be 2\/g*(-1206)\/12. Let s = y - -203\/3. Is -2\/7 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 + 1) + 2. Suppose 3*p - 3*x - 18 = 0, 2*p + p + q = -x. Let c(y) = y + 5. Let s be c(0). Solve 4*j - p = -s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -153*a**2. Let u(b) = 2163951*b - 2163951*b + 20*b**2. Give g(u(z)).\nAnswer: -61200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293301 by 10863.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/4 - 62801*h\/2 - 3943965601\/4 = 0?\nAnswer: -62801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6*l**2\/13 + 1171580*l\/13 - 390526\/13 = 0.\nAnswer: 1\/3, 195263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*w + 5*i = 261*w + 33, -2*w + 1 = i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - d**2 + 2*d**2 + 3)*(-154 + 81 + 77 - 3*d**2) as p + w*d**4 + t*d + i*d**2 + f*d**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(570)\/sqrt(250)*6)\/(sqrt(756)\/sqrt(7)*-1).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + -4 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 6*c**2 - 7*c - 1. Let k be n(-7). Let u = 14243\/20 + -712. Is k bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031120310 (base 4) in base 2?\nAnswer: 10001101011000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2.2. Let b = l + 0.8. Let z be 217\/(-155) - -1*(1 - 0). What is the nearest to -0.1 in b, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*m**3 - 5*m**3 + 8*m**3.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 9*q**2 - 9*q + 8. What is n(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 7*n + 9. Let a be y(6). Let h(f) = f**2 - f - 39. Let i be h(7). Calculate the highest common factor of a and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 281, 534, 787, 1040?\n\"Answer: 253*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118446069 and 37653.\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 470120503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*h - 90 - 16. Let i = 53 + -66.9. Let u = 13 + i. What is the nearest to -1\/3 in 0.2, u, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 6*g - g + 36 - 36 - 6*g + (5 - 4 + 1)*(-g + 3*g + 0*g) - g - g + 3*g + (10*g - 4*g - 21*g)*(5 - 4 + 1) to the form n + h*g and give h.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -23.5. Let a = v - 6. Let k = 0.5 - a. What is the nearest to k in -2, -3, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17367*s**2 + 3*s + s - 4*s.\nAnswer: -17367*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1539) - sqrt(57)\/sqrt(12))**2 - ((sqrt(19) + sqrt(1216) + sqrt(19) + sqrt(19) + -3)*3)**2)*-2.\nAnswer: -1188*sqrt(19) + 77597\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -59, -50, -9, 76, 217, 426?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 8. Calculate b(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o**3\/27 - 74*o**2\/9 - 2738*o\/9 - 127. Factor q(w).\nAnswer: -2*(w + 37)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13559?\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from worwrxhorww?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, 10, 29\/2 in descending order.\nAnswer: 29\/2, 10, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -5. Suppose 2*k = 4*i - 114, -3*i + 109 = 2*k + d. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 5. What is z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.93 - 143.93. Let t = c + 142.0000206. Round t to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a factor of 277887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x - 134784 = -24*x. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1030 + -476. Let a = 549 - r. Are -2 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*2\/(46\/(-23)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3283651ml?\nAnswer: 0.0003283651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.369 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9*4\/(-6))\/2. Let z be (-6)\/(-9) + (-17)\/30. Let h be (-64)\/(-110) - (-2)\/(-5). What is the nearest to f in h, z, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 381, 362, 337, 306, 269, 226?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmmzmmmmmmz. Give prob of picking 4 m.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14)\/7 + 673 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3129608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(23\/184).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -760 - -2114. List the prime factors of w.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463.47 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 10508186.\nAnswer: 346770138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1433421411 (base 5) to base 16\nAnswer: -3a2628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 5*f**3 + 0*f**2 - 3*f**2 + 2*f**2 in the form m*f**2 + k + i*f + g*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 179*v**2 - 31 + 10 to the form h + a*v + c*v**2 and give c.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqggtqpjxpgj. Give prob of sequence tx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/1982790 or 0?\nAnswer: -31\/1982790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*a + 4)*(a - 2*a - a) + 2*a**2 + 0*a**2 - a**2 + 0 + a**2 + 0 + (2*a + a - 2*a)*(0*a - a + 2*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1822270\/119 + -15313. Calculate the common denominator of 37\/170 and t.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462077516?\nAnswer: 2, 3, 1321, 92233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.5 + -11. Let i = f + -2. Let b = 17 + -16. Sort i, b, -2.\nAnswer: -2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11761467?\nAnswer: 3, 17, 103, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 - 320*j + 6. Let i(n) = -2*n**2 - 160*n + 2. Determine 5*i(q) - 2*k(q).\nAnswer: 2*q**2 - 160*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2056812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -300. What are the prime factors of h?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 - 24378*a**3 + 12241152*a**2 - 1995865158*a + 107783328387 = 0.\nAnswer: -8609, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 284 - 312 = -2*u, -c - 1777 = -6*u. Let o be (-1 + 2)\/1*37. What is the greatest common factor of o and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 0, 4*b + 4 = -4*i + b. Let y be 5 - (-1 + (-12)\/i). Solve 5*t + y*s = -18, 4*t - s - s = -10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = -2. Is (-10)\/((-228)\/(-58) - (5 + z)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 9*v + 19*v**3 + 3*v - 14*v**3 as j*v**2 + n + d*v + h*v**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 303. Let g be u(0). Calculate the common denominator of 42\/5 and (-3)\/(-3) + g\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23417*b**3 - 2684*b**3 - 134*b + 270*b - 136*b.\nAnswer: -26101*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/642328 and -59\/2947152.\nAnswer: 50101584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 2, 3, 12 in descending order.\nAnswer: 12, 3, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -51813976192 and 4846.\nAnswer: -51813971346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 2*a**4 - 2*a**2 + (-2 - 2*a + 2)*(3*a**3 + 3*a**3 - 4*a**3) + 182*a**4 + 20*a**4 + 935*a**4 to l*a**3 + b*a**4 + h*a + u*a**2 + k and give b.\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 + a**4\/8 + 23*a**3\/6 + 27*a**2. Let y be q(0). What is the highest common factor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123267055?\nAnswer: 5, 24653411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 10. Let u(o) = -4*o - 7. Let p(k) = -11*k - 20. Let v = -3 + 9. Give i*u(q) + v*p(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*u = 178*u - 16. Suppose -84 = -u*b - 20*b. Let p(s) = s**2 - 4. Give p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.9 and -304.\nAnswer: -1489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1 + 0*j + j - 8*j**2 + 3*j**2. Let k be o(1). Let i be ((-2)\/4)\/(1\/2). Sort -3, 2, k, i.\nAnswer: k, -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16\/44 - 2) + -2 and 4\/(-6) + 400\/(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from etttunut.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 5*j + 49, 2*m + 3*j + 1 = 0. Let h = m + 11. Suppose -6*l = -5*l - h*x - 16, -8 = 2*x. Solve 3*t - 4*t + l = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57970 - 28277. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14451*i**5 - 26*i**3 + 100973663*i wrt i?\nAnswer: -289020*i**3 - 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -920752.1 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 52840 divided by -1\nAnswer: -52840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -589*m - 6195. Determine w(-12).\nAnswer: 873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y + 53*y - 24*y + 11620.\nAnswer: 4*y + 11620","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001599650706 to seven decimal places.\nAnswer: 0.0015997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*c**2 - 13*c + 122 wrt c?\nAnswer: -70*c - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g. Let n(i) = -10981*i**2 - 17*i. What is z(n(x))?\nAnswer: 65886*x**2 + 102*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 - 158*j*o - 31*j - 2873*o + 144 wrt j.\nAnswer: 2*j - 158*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 526*u**3\/3 - 1264. Let m(g) = 2*g**2. Calculate p(m(c)).\nAnswer: 2104*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12*h - 43. Let v(j) = 6*j + 21. Let q(u) = 4*n(u) + 9*v(u). Let l(s) = -2*s - 6. Let t(x) = -8*l(x) - 3*q(x). Differentiate t(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22064*u - 1211 + 107 = 21926*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxcvvcxxxudvvvdvvx. What is prob of picking 1 u, 1 v, 1 d, and 1 c?\nAnswer: 8\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 1 + 776*l**4 - 6 + 786*l**4 - 1560*l**4 in the form o + i*l + c*l**2 + g*l**3 + d*l**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12*-2*(-4)\/12. Let r be (3 - -1)\/(h\/(-48)). Let s be (-207)\/4*3200\/r. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 226.9, -0.04, 1 in descending order.\nAnswer: 226.9, 1, -0.04, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57161.16 meters in millimeters?\nAnswer: 57161160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 80 = 23. Let l be (z\/(-38) + (-7)\/6)*12. Solve -10 = -2*n + 4*n + 5*t, -2*n - 10 = l*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 146, -11, 4, -8.\nAnswer: -11, -8, -4, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 + 12*z**2 - 6*z**2 + 49*z**3 - 6*z**2.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3500\/280 + 2\/(-4)*(28 - 6). Factor 39\/2*t - 18 - o*t**2.\nAnswer: -3*(t - 12)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956780 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -243?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135100 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 644, -22 in decreasing order.\nAnswer: 644, 5, 1, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6131878 is divided by 1532957?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2361667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*v - 45*v - 12 - 50*v + (-2 + 4 + 0)*(-16*v + 34*v - 15*v).\nAnswer: 4*v - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14206, -28641, -43284, -58129, -73170, -88401, -103816?\nAnswer: -119409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -6\/5 (c) 1.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -f + 3*f. Suppose f = 2*r - 4*r. What are the prime factors of (-6)\/r*22\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -139\/2. Let f(l) be the first derivative of -2*l - o*l**2 - 2 - 1\/3*l**3. Solve f(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2*q + 3. Let j be y(3). Suppose -3*p + j = -0. Suppose 4*x = 10 - p. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1355639862 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 15168.9661 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7079*v - 32 + 19265*v - 10.\nAnswer: 26344*v - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -392.5 and -24?\nAnswer: 9420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 991*d**2*r + 149*d**2 + d wrt r?\nAnswer: 991*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09236 and 133.588267.\nAnswer: 133.680627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*h + 156. Let m = h - 30. Suppose 0 = 2*r - s - 2, 2*r = 4*s - 2 - 2. Calculate the greatest common factor of m and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468238231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 183 + 230 = -115 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.4 less than -51?\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*3*4\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:01 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*d**2 - 864*d + 3\/4*d**4 + 12*d**3 + 0.\nAnswer: 3*d*(d - 8)*(d + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = 5*h. Let m(s) = s**2 + 10*s + 6. Let q be m(-9). Let p = h - q. Let a(n) = -3*n. Let c(z) = 16*z. Determine p*c(d) + 11*a(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-657)\/(-6) + 2\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t + 0*t - 4*t + 21*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**6\/30 + 15*w**2\/2 + 9*w. Find the first derivative of s(b) wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 + -171. Solve -u + 38 = w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b1a (base 12) to base 7\nAnswer: -4453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*s - 26, -q - 2*q = 4*s - 88. Let p = 5 + 19. Calculate the highest common divisor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.87 - 0.13. What is the closest to -2\/3 in 4, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 + 28*v**3\/3 - 13*v**2 + 42*v - 21. Does 55 divide y(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 7*o**4\/4 + 230155*o**3\/4 - 1233429*o**2\/2 - 888030*o = 0?\nAnswer: -32890, -9\/7, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -13*z**5\/4 - 49*z**2 + 45*z - 14. Let t(y) be the first derivative of c(y). What is the first derivative of t(u) wrt u?\nAnswer: -195*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*q, 3*q = -2*f + 6 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, e: 1}. What is prob of sequence re?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Let w be 9\/(-42) - (-4)\/(-14). Which is the third smallest value? (a) w (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-6) - (2\/60)\/(14\/1218). What is the biggest value in 47, u, 5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 1. Suppose h - 3*g - 2*g = w, 2*h = 3*g + 13. Let d be -3 + 4 + 1 + h. Solve -d*x + 0*y = y - 4, 3*x + 4*y = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 21, 0, -857, -3\/2, 4, 6 in descending order.\nAnswer: 21, 6, 4, 0, -1\/6, -3\/2, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4 - -3)*-4. Let a = -37 + 39. Suppose a*p = 4*p. Solve p = j*n - 5*g + g - 20, 3*g + 8 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.34 (b) -0.4 (c) 5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -400*s**2 - 5*s - 30. Let n be b(-8). What is n rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by -258813\nAnswer: -233\/258813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -34, -35, -36, -37, -38?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/6 - 4*b**3\/3 - 13*b**2\/2 + 3765*b - 2. Determine w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 0 - 5 - 5 + 4 - 3*r. What is o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 4*y - 2. Let u be p(3). List the prime factors of (-6)\/u + 39\/12 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s + 72. Let t be h(-4). Suppose -3*r - 198 = -5*x + 73, 0 = t*x + 2*r - 230. What is the smallest common multiple of 98 and x?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 - 1682 + 307 + 303 - 4*b**3 + 345 + 422.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 5*y - 40 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/20 - 2\/(-5). Suppose p + 26 = c*p. Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from nammanaaaama?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676442 is divided by 8351.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5495*o + 164860. What is m(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7856531 is divided by 130.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5465114981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 141715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/646 and 143\/6714762.\nAnswer: 127580478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.23 - -3.27. Let b = 1.8 - c. Let p = -2.2 - b. What is p rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161032090 is divided by 22026.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*i**2 - 2428*a**2 - 1635*a*i**3 + 4 with respect to i.\nAnswer: -4*a**2*i - 4905*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1008) + 2 + sqrt(1008))*6 + (sqrt(1008) - (-3*sqrt(1008) + -4)))**2*-6.\nAnswer: 110592*sqrt(7) + 4649472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = p + 6, p + 8*z - 9*z = -z + 5*z - 36 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 26*o**2 + 48*o - 11. Let r be v(24). Let w = 11 + r. Calculate the remainder when 32 is divided by 1 + w + -1 + -1 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1741 - -0.1741. Which is bigger: -3\/38 or i?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/6 + 53*l**3\/6 - 33*l**2 + 207*l. Calculate the remainder when 88 is divided by s(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38628 and 48285?\nAnswer: 193140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 - 2*g**2 + 2*g - 1. Let s(k) = -2*k**2 + 21*k + 13. Let f be s(11). What is w(f)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from wfccfhchhfhhciiccci?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/((b*b\/b**(-2))\/b))\/b*b)*(b*(b\/(b*b**(13\/5)\/b))\/b)\/b*b**2\/((b**(-10)*b)\/b*b) assuming b is positive.\nAnswer: b**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 468\/5? (a) 0.5 (b) 1\/5 (c) -1 (d) -2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5370180 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 0, -3, 4, -24 in decreasing order.\nAnswer: 4, 0, -1, -3, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 - -70. Suppose 2*x - d - 79 = 0. Are x and 41 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4017 and -4.179.\nAnswer: 16787.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 221\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 + 0 + 0)*(-2*l + 0*l + 0*l) + 73 - 73 - 69*l**3 + 24*l**3 + 78*l - 78*l in the form a*l**3 + z + w*l + d*l**2 and give a.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 72*y - 5. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000250679 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iij when three letters picked without replacement from {i: 11, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-8 - (-10 + 9)) + (1 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 9*b + 8. Suppose 15*r - 4179 = -54. Let p = r + -268. What is the remainder when a(-8) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 45, 59, 73, 87?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2 + 1. Let f(m) = 5*m**3 + 4*m**2 + 6*m + 6. Let w(r) = f(r) - 4*s(r). Let u be w(-7). Let i = -21 + 20. Put -4, u, i in decreasing order.\nAnswer: u, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (-2 - 3 + 3)*(-1 + 4 - 4) + 1 + 0 - 2)*(4*q**4 - 7*q**5 - 4*q**4).\nAnswer: -21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*u + 6, -6*u + 5*u - 14 = 3*v. Suppose 7 = -2*b + 1. Sort b, v, -4\/3 in ascending order.\nAnswer: v, b, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 69\/1 + -4 + 3. Suppose 731 = 41*v + 2*v. What is the greatest common divisor of y and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-3 + 4 + 4)) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o + 5. Let r be (1*7)\/(-2*(-2)\/4). Calculate a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/5 - 460*c - 53958\/5 = 0?\nAnswer: -23, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*w + 52*w - 84. Let p = -18 - w. What is the greatest common factor of p and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 + 254748*y + 4076992 = 0.\nAnswer: -16, 63703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110 - 10111000011111001100?\nAnswer: -10111000100000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:35 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7 - 1.7. Let d = 6 - 6.4. Which is the closest to -1? (a) x (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2469*w + 33*w**3 - 2 - 2469*w as t*w**3 + k + m*w**2 + c*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -1 + 6 - 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 + (8 - (-1 + 7)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 339076027 take away 87.45?\nAnswer: 339075939.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:21 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/180 + b**4\/24 + 8*b**2. Factor q(u).\nAnswer: u*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 4. Let q be p(-13). Let w = q + -13. Sort w, -0.2, -0.1 in ascending order.\nAnswer: -0.2, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + -12.85. Let v = -7.2 + q. Are 0.1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 50*o + 20. Let k(s) = 303*s + 119. What is 3*k(m) - 17*t(m)?\nAnswer: 59*m + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, -1.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-20) + (-5445)\/28. Let v = -195 - d. Sort 2, 3, v in increasing order.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33083186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 + -540 - (60 - 0) - (-11 + 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/((s\/s**(-1))\/s*s)*s)*s)**17\/(s\/s**(-2\/7))**(-19)*(s\/(s\/s**(-7))*s**(-2))\/(s**2*s**(-1)) assuming s is positive.\nAnswer: s**(458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34286 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 115.03. Which is the biggest value? (a) 2 (b) u (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {j: 6, h: 3, t: 3, m: 4, r: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-2*p - p + 0*p)*(118 + 2*p - 118).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418557 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + 7*a**3 + a**3)*(a + 2*a - a + (-2*a + 3*a - 3*a)*(-4 + 2 + 1) - 3*a + 4*a - 3*a + 2 - 2 + a + a + 0*a - 3*a + 4*a + 0*a - 2*a - 2 + 2 - 2*a).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2523)\/(-754) + (-4)\/(-26))*2. Suppose -7*p = q*p - 10*p. Solve 0 = -5*o + 15, p = 3*z + 2*z - o + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2662)\/sqrt(2))**2*3*1 + 5.\nAnswer: 198*sqrt(11) + 4025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u + 454. Let k be p(-33). Solve 4*s + k + 0 = r, r - 3*s = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z + 75. Let o = -14 + z. Solve -2*t + o = -d - 2*d, -t - 2 = d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-68)*34\/51*6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*f - 21590 = 1289*f for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = -1. Suppose x*r - 3 = 1. What is the second derivative of 1 + 3*b**5 - 4*b - r + 1 wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.421 times 0.06?\nAnswer: 2.96526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1689*b**4 + 1681*b**4 - 43 + 9 wrt b?\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 941*v**2 - 8*v. Let l(z) = 2*z**2. Give p(l(i)).\nAnswer: 3764*i**4 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 56. Solve -4*z - 2*q = -16, r*q - 2*q = 3*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, b: 5, a: 3, x: 1}. Give prob of sequence laal.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 0*o**3 - 23 + o**3 + 28 to the form d + b*o**2 + p*o**3 + n*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9.26993 (b) 8 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/((-256)\/(-78)))\/(30\/(-4)) and -95\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31348, -62691, -94034?\n\"Answer: -31343*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 508841 divided by -508841\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*c + 6 = -6*c, -c = 0. Solve 3*g + 4*v + b = 0, -g + v = -0*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/33 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8749*d**3*t + 3806*d**3 + 625*d**2*t + 2823*d**2 + 17*t - 2 wrt d?\nAnswer: -52494*t + 22836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/36145 and 49\/28916?\nAnswer: 144580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from jjrllajpplu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8876, -35519, -79920, -142079, -221996?\n\"Answer: -8879*r**2 - 6*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {y: 4, s: 3, h: 1, e: 2, c: 1, k: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/6, 0.03, 4\/3, -1.61?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -30, -7 in decreasing order.\nAnswer: -7, -22, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let t(h) = 130719*h. Determine u(t(v)).\nAnswer: -17087456961*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 17810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 16*y**2 - 55*y + 38. Let x be a(-19). Sort -4, -53, -17, x.\nAnswer: -53, -17, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(2*2\/(-178)). Is (-1)\/(((-3)\/u)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -3*u. Sort -1, 1, u in descending order.\nAnswer: u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (53 - 2) + -2 + (-24 + -4 + 53 - 27)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*t = 3*s - 274, 5*s - 266 = 4*t. Let v be 12\/16 - (-537)\/4. Calculate the highest common divisor of v and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-660)\/(-30))\/(-11) + (-36542 - -2)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 388\/24 + (-2)\/12. Suppose 2*i - 4*a = j, 4 + 0 = -a. What are the prime factors of (-3 - -12)*(i - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*10\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h - 39. Let i(l) = -11*l - 40. Let t = 20 + -15. Let p(z) = t*g(z) - 4*i(z). What is the first derivative of p(m) wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 4, q: 1, s: 2, p: 2}. Give prob of picking 2 s, 1 q, and 1 v.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a773 (base 12) in base 7?\nAnswer: 104400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f + 14. Let q(l) = 2*l + 1. Calculate -h(m) + 3*q(m).\nAnswer: -6*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -123, -264, -419, -588?\n\"Answer: -7*i**2 - 120*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 471940 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-15)*4*-5. Let t be 2 - 1 - n\/(-4). Let l(h) = 1 + 0*h + t + h. Give l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546103367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + sqrt(125) + (sqrt(125) - (sqrt(125) - (sqrt(125) + 1 + sqrt(125)))*4) + sqrt(125) - (5 + -3*sqrt(125))) + 5)**2.\nAnswer: 440*sqrt(5) + 15141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = -0*l. What is the third derivative of z**4 - 3*z**l - 68*z**2 + 74*z**2 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 5)*(-2*i + 2*i + i) + 2*i + 4 - 4 - 4*i + 4*i + 3*i + (-2*i - 2 + 2)*(-1 + 1 + 1) + 2 + i - 2 to the form s*i + x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 24. Let t = -96 - -87. Let w be c(t). Solve 8 = 5*o + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12998000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 79*l - 5. Let x be u(-1). Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.153 and 76982.\nAnswer: 76982.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 79222.352828?\nAnswer: -79223.052828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/15*k + 32\/15 + 2\/15*k**2.\nAnswer: 2*(k + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 5, h: 4, l: 6}. Give prob of sequence zhfl.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 1344.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*f - 74589 = -651*f for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109605 by 3.\nAnswer: 36535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 521 and 264222024.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t - 9*t + 3*t - 33*t to the form f*t + y and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a445 (base 11) to base 13\nAnswer: -63bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-3))\/((-1)\/3). Let y = c - 39. Let d(p) = p**3 + 27*p**2 + 48*p - 5. Does 5 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*s + 10 + 2, -s = -2*c + 1. Solve 0 = -2*o + 5 + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-56)*(-2 - 56\/(-21))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4 - (0 + 6). Let p(v) = -v + 1. Let q(s) = -3*s + 4. Let m(o) = f*q(o) + 8*p(o). Differentiate m(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 157. Give l(-9).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67593 < 67592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502749889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -2926291342.\nAnswer: -2926291342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/43 in 1, -5, 88, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*((sqrt(275) + 1*sqrt(275) + -4 + sqrt(275) + -4 - (0 + 1*sqrt(275) + 5)) + -5).\nAnswer: -35 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176 times 27.6?\nAnswer: -4.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -13\/91058 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = 2*a. Suppose -a*p + 0*r - 1538 = 2*r, 3*p + 5*r + 1164 = 0. Let w = -3443\/9 - p. What is the third smallest value in 3, w, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {y: 1, q: 1, d: 1, w: 4, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406694 and 25800?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -33. Let n be (-13)\/b*(11\/3 + -1). Let 2\/3*x**2 + 2\/3 - n*x = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1724 + 869 - 4703*j + 855)*(0*j**3 - 4*j**3 + 2*j**3).\nAnswer: 9406*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*z + 15 = 0, 0 = 5*g - 3*z - 2*z + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 + 6 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = -2*u. Suppose u*h = 10*h - 123. Let n = -23 + h. Solve 5*t = -3 + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39857 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 x(f) = f**3 - f**2 + 1. Let a(d) = 4*d**2 + 1. Let c be a(-1). Suppose 2*v - c*h = 31, 0 = -3*v + 4*v - h - 8. What is the units digit of x(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/10 + 791201*c + 7912012\/5.\nAnswer: -(c - 7912012)*(c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = 0. Suppose 2*j = -4*g + 6, -5 = -b*j + 5*j. Suppose 0 = 3*u - g*u - 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 5*z**4 - 4*z**4 + (-1 - 2*z + 1)*(-z**2 - z**3 + z**2) + 51*z**3 - 51*z**3 + 13*z**4 + (-3 - 3 + 5)*(0*z**4 - z**4 - z**4).\nAnswer: 19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Let u(z) = -z**3 + z - 8. Let v be u(0). What is g(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ef4d4 (base 16) to base 14.\nAnswer: 1b72cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 204643 - -216?\nAnswer: 205061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1022142 + 10?\nAnswer: -1022132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -0*i + i. Let f = 513\/7 + i. Let x be 6\/4*(-4)\/(-6). Which is the nearest to x? (a) 3 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 84. Let d be (85 + 3)*22\/v. Let x = 69 - d. Find the common denominator of x and -47\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/981?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**3 - 3*h**3 + h**3)*(h - 1 + 5 - 3) in the form f*h**4 + v*h**2 + c*h**3 + d + y*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1202388 divided by -3\nAnswer: -400796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-22)*119\/(-527). Let c = 11991\/1364 - g. Find the common denominator of 81\/2 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 14. Let o be u(9). Let g(x) = 25 - 3*x - o - 6 - 5. Give g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*x**2 + 288*m**2*x + 4*m**2 - 919*m + 5*x**2 wrt m.\nAnswer: -2*x**2 + 576*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 245931, 245927, 245923, 245919?\n\"Answer: -4*k + 245935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 - -2.7. Which is the third biggest value? (a) -2\/5 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16429859 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 5*o + 4*d - 21, 0 = -o + d + 1. Suppose o*h - 2*i = i + 1, -7 = h + 3*i. Sort 2, 3, h in decreasing order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u + 3270. Let t be u\/(-6) + (-10)\/15. Suppose -m - t = -2*n, 2*m = -5*n - m + 458. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5, -16, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2405 + 214?\nAnswer: -2151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 - 13*w + 11. Let u be r(6). Let q = u + 83. Suppose -2*f + 5 - 1 = 0. What is the greatest common factor of q and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54811651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21649, 3, 3\/601?\nAnswer: -2\/21649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125421 is divided by 527.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569327829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 27. Suppose -6*d + 3*d - 4*j = -16, d = 3*j + w. What is the units digit of (-160)\/60*(-9)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) 4 (c) -4 (d) -10\/23 (e) -13 (f) 3 (g) 0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 7*c - 6. Let l be a(5). Suppose -2*d = 3*k + 20, -k - l*d - 36 = 4*k. Is k > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/27 > -4532.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 4527053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43060, -86116, -129182, -172264, -215368, -258500, -301666?\n\"Answer: -u**3 + u**2 - 43052*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5221 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3566498 and 17832490.\nAnswer: 17832490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-193)\/8 - 5\/(-40). What is the remainder when (s\/30)\/(4\/(-70)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 0*z - 4404 - 1327 - z - 381.\nAnswer: -2*z - 6112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s = -17*s - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111001010010101011000 + -10?\nAnswer: 10101111001010010101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*-3*1756\/(-18). Let f = p + 77283\/22. What is the common denominator of f and (-1 - 1) + (-106)\/12?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242512 = 10*c + 21*c - 47*c. Is c a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 t, and 1 c when four letters picked without replacement from {c: 2, o: 4, t: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10667 (b) -1\/211 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 57, 147, 271, 429, 621?\n\"Answer: 17*u**2 + 5*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40, -56, -94, -166, -284?\n\"Answer: -2*t**3 + t**2 - 5*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2. Let i(s) be the third derivative of -s**5\/20 + s**4\/12 - 286*s**2. Give d(i(l)).\nAnswer: -45*l**4 + 60*l**3 - 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-14)*(-2)\/3. Let m = -5\/18 + 17\/126. Let s = 0.2 + 0.8. Put s, l, m in increasing order.\nAnswer: l, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16017 and 14.\nAnswer: 224238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/((54\/(-336))\/((-102)\/119))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1245*q + 7. Let y be h(4). Let l = -29965\/6 - y. Find the common denominator of 10\/11 + (-4)\/(-22) and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a**2 - 796*a**3 + 165*a**3 - 5 + a + 13*a**2. Let z be x(5). What is z rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-16)\/((-2176)\/(-1530))) - (-2)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*j - 296 + 234. Let q(n) = n + 1. Let u(s) = -3*s**2 - 1. Give j*u(b) + 3*q(b).\nAnswer: -3*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -682 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y - 4. Let m(p) = 10*p + 7. Let r(a) = -9*m(a) - 6*v(a). Determine r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*l*s - 4156782*f*l + 50234017*l*s wrt f.\nAnswer: -l*s - 4156782*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3 - 3*m - 21*m + 2*m**2 + 0*m**2 - 5*m. Let u(h) = -h**2 + 14*h - 2. Let b(c) = 2*n(c) + 5*u(c). Is b(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5425017 kilograms in grams?\nAnswer: 542.5017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 13*q = 8*q + 148, 4*u = -3*q + 113 - 41 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 553*q - 75117. Calculate p(313).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*q = 284, 8*q = -g + 5*q + 73. Let l(u) = -u**3 - 4*u**2 + 3*u - 2. Let b be l(-5). What is the highest common factor of b and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -3.03. Let w be 1\/(9\/2 - 3). Let x = 0.1 + 4.9. Which is the biggest value? (a) w (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - (-10)\/8. Let p = b + 7. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9167.\nAnswer: 89, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5347542\/325 + -16454. Find the common denominator of v and -56\/429.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16))**12 assuming t is positive.\nAnswer: t**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380058057?\nAnswer: 3, 389, 108557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from ththtvtthh?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, 41.7, -0.2, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Suppose -8*k + 4 = -m*k. Let z(r) = r**3 - 2*r**2 + 2*r. Let o be z(2). Solve -f = k - o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 1598 - 1598)*(-1 + 2*i + 1).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*h - 6*h = 1785 + 905 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166\/1*((-14)\/35)\/(-17 + (-1246)\/(-70)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + -1) - (32 - 36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -38. Let h = w - 16. Suppose -2*l = 3*t - 111, 2*l - 90 = -2*t + h*l. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 170\/4*-4. Suppose 0 = 5*j + 6 - w. Is 4 a factor of (j - 1 - 3) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -580755*c + 580755*c - 2*c**5 + 1497*c**3 - 2*c**4 - 2842*c**2 wrt c.\nAnswer: -120*c**2 - 48*c + 8982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 24)\/(0 + 1). Suppose -5*w + 45 = q + 3*q, 0 = -3*q + 4*w + v. Differentiate -2 + 10*x**3 - x**4 - q*x**3 with respect to x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*j + 643 = -j, -4*p - 5*j = -527. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 14, 55, 134, 263, 454?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20106 and 315.\nAnswer: 703710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.3 (b) 5 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let x(n) = 32*n + 64. Let g(m) = 4*q(m) - x(m). Factor g(l).\nAnswer: -4*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.199 - 5.\nAnswer: 17.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*i - 5*h - 26 = 0, 0 = -2*h - 13 + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 39*x + 4*x = -308. Let c(y) = y**3 + 8*y**2 - 2*y - 6. Let f be c(-8). Let l = f + -5. Calculate the smallest common multiple of l and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -385220\/2457?\nAnswer: -385220\/2457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1031 times -71\nAnswer: -73201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 13*z + 17. Let n be r(0). Solve 7*l - 7*l = -n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10587*n + 0 + 0 - 10866*n)*(35 + 11*n - 35).\nAnswer: -3069*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 1633*n**2\/2 + 293080*n - 33808502.\nAnswer: (n - 91)*(n + 862)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1960562*s - 1774599 with respect to s.\nAnswer: 1960562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -466, 2\/15, 0.12, -2, 84, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 23*q - 9. Let i(d) = d**2 - 12*d + 4. Let x(m) = -5*i(m) - 3*l(m). Calculate the least common multiple of x(9) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(8\/11)*q**(-4)\/q*q*q**(2\/15)\/q*q assuming q is positive.\nAnswer: q**(-878\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7917 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*(504\/24)\/63.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 7)*(-2 - 3\/9). Solve 0 = -x*l - 7 + 49 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.33 + 0.33. Let k = 559 - 559.3. Does m = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 10. Let f be l(-8). Let s be 23\/2 - (-1)\/f. Suppose -3*c - 4*t = -4*c + 11, s = 5*c + 2*t. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1193800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzffzzf. What is prob of picking 2 z and 2 f?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-14)*x*x\/x**(-26) assuming x is positive.\nAnswer: x**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:58 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -0.28051204\nAnswer: 2.28051204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxp when three letters picked without replacement from lxjzjxjzpzxlzu.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1057*h**5 + 2*h**4 - 270*h**2 + h - 15.\nAnswer: -63420*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.2 - -6.944. Let g = b + 1.286. Let m = -1.02957 + g. Round m to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 194 - 201 - 2*l**2 + 594.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006773049 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 2*k, 0 = -3*g - 16*k + 20*k + 11. Let r(z) = z**3 - 5*z**2 - z + 11. Determine r(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -485.996657 and -3?\nAnswer: 1457.989971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/2*(-1 + 468\/(-8)).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*c**2*t**3 + 2*c**2*t - 350*c**2 - 64*c*t**5 + 17*c*t - 2*c wrt t?\nAnswer: 246*c**2*t - 1280*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**7\/840 + 11*y**6\/120 + 121*y**5\/40 + 1331*y**4\/24 + 14641*y**3\/24 - 37*y**2. Find f such that c(f) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*h + 12, -4*x - 2*h + h - 1 = 0. Let u be (142\/(-4899))\/(x\/12). Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8072127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - 8) + -3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-6)\/(9\/3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**5 + 0 + 0)*(-6 + 0 + 3) + (5322*l - 2407*l - 2477*l)*(-2*l - 3*l**4 + 2*l) + 0*l**2 + 0*l**2 + l**5.\nAnswer: -1307*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2 + 4. Let c = -6 + 6. Let k(l) = 7*l**2 + c*l + 0*l. Calculate k(p(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 188*w - 7302. Give l(133).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*h + 43 = 31, -66 = -u + 25*h for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 13. Let x(i) = -2*i + 6. Suppose 6*s - 3*s - 12 = 0. Calculate s*g(m) + 9*x(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 15*o = 3*x - 2535, o - 1690 = -2*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 3. Let d(n) = -i*n - 26*n + 48*n. Let f(g) be the first derivative of g**2 - 1. Calculate f(d(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1982 + 782 = 60*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + k - 412377 + 412377 - k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.19 + 1.5. Let v = 3.19 - h. Sort -74, 0.4, v.\nAnswer: -74, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 733*u + 14 = 740*u. Sort -5, 12, u in descending order.\nAnswer: 12, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 14*k**2 - 2 - 6 to u*k + n*k**2 + b and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.053 from 17534851.4.\nAnswer: 17534851.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 462807.1 minutes?\nAnswer: 27768426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 2\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - sqrt(34)*-3*-3)\/(sqrt(16)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01788843 to four dps.\nAnswer: -0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -686.\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121307, 121293, 121269, 121235?\nAnswer: 121191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 25. Suppose -3*r = 2*r + b - 58, r - b = 14. Calculate the remainder when r is divided by f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165636347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 427436.8722 to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 198.92+-0.75\nAnswer: 198.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 1. Suppose -g = -3*b + 61. What is the remainder when 2 - (1 - (b - -3)) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(104)\/sqrt(2) - -6*(3 + sqrt(52)\/sqrt(4)).\nAnswer: 16 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950.73256 + -89.\nAnswer: -1039.73256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-24))\/((-3)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9878*y**4 + 3*y**3 - 12*y**2 - 7*y + 1261 wrt y.\nAnswer: -237072*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by 27938?\nAnswer: 140\/13969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16\/5, -1\/106 in decreasing order.\nAnswer: 16\/5, 2, -1\/106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12535 and 138?\nAnswer: 75210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*g**2 + 19*g**3 + 50*g - 6*g**5 + 52*g**4 - 4*g**5 - 91*g**3 + 14*g.\nAnswer: -2*g*(g - 2)**3*(5*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 41280\/90 + 14 - (-24)\/(-9)?\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = l - 97, 0 = -5*l + 6*l + 5*k - 70. Let f = -81 + l. Suppose 2 = -4*r - 2*o, 2*o + 2*o + f = 5*r. Solve 4*p = -3*g - r*p - 26, p = g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182605174 less than 11?\nAnswer: -182605163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2993054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3713)\/188 - -24 - 107\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/27)\/(67\/(-402)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11426759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + 415. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14 - 4*n - 2*n - 14. Let w(l) = l - 4. Let g be w(5). Let d(u) = -u - 1. Let q(o) = 2*o + 3. Let k(b) = g*q(b) + 3*d(b). Give k(s(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose 568 + 191 = 3*m. Suppose g - o - 38 = x*o, m = 5*g - 4*o. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/15 + 2849*m**2. Let h(s) = 816*s**2. What is h(u(v))?\nAnswer: 13056*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33774814 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 8*h - 2. Calculate m(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(108)\/((sqrt(90)\/sqrt(2))\/sqrt(5)) - -3*2*(sqrt(12)*-1)**2).\nAnswer: 2*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31703016 divided by 4?\nAnswer: 7925754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10*c - 1954 = 12*c, -4*o - 5*c - 3911 = 0. Is -972 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.026 (b) 483 (c) 1\/2 (d) -4\/67 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(1\/6)*p**(2\/5))\/(p**(-5)\/(p**(-3\/17)*p)) assuming p is positive.\nAnswer: p**(4109\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19681 divided by -10?\nAnswer: 19681\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -572?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + q - 29 = 0, 168*v + 3*q = 173*v + 47 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -327 - -331. Suppose u*v = -27 + 47. Sort -5, v, 1 in ascending order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*p = -2*h + 28, 3*h + 14 = 4*p. Suppose -5*q + h*k + 144 = -2*q, -4*q + 5*k = -192. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(1\/(-10))*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68345 divided by -13669?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -13*c**2. Let h(v) be the first derivative of -8*v**3\/3 - 113. Give h(k(q)).\nAnswer: -1352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 860*y**3 + 5*y**2. Let z(h) = -2*h**3 - h**2. Calculate l(q) + 6*z(q).\nAnswer: 848*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 4*r**3 - 23 + 23.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66 and 5.2119033333.\nAnswer: -60.7880966667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j - 4. Let o = -7 - -10.82. Let l = o + -0.82. Which is the nearest to 0? (a) -2\/5 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1537 + -1044. Let y be ((-4421)\/(-2))\/((-9)\/(-2)). Let j = y - n. Is -2 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 0)\/((-6)\/75). Calculate the greatest common factor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31407757*h - 34349901.\nAnswer: -31407757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**2\/2 + 7*j + 268. Suppose -g = -2*z + 8, g + 4 = 2*z - z. What is the lowest common multiple of 21 and u(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*v = 34, 0 = -0*m - 2*m + 5*v + 29. Let g = 0 + m. Differentiate -g - 12 + 22*j**2 + 0*j**2 wrt j.\nAnswer: 44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -551433 + 34?\nAnswer: -551366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464707.\nAnswer: 19, 182353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:29 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1148971 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 9*g)*(-2*g**2 + 0*g + 0*g).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - n**5)*(-9 + 9 - 4).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8418862 is divided by 51?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 30. Suppose -s*q = q - 25. Solve -q*b = 7 + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 10*s**2 - 9*s - 2. What is q(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 16687449*j - 16687446.\nAnswer: -3*(j + 1)*(j + 5562482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 139014512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -610 + -25?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = x + 58. Suppose x*s = 4*s + 15. Solve 2*r - 1 = -5*i, 3*r + r = s*i + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9 = 16. Suppose 4*t = 3*h + 11, -10 = 5*h - r. Suppose -2*w - 2*k = -60010, 5 = t*k - k. What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*1)\/((-1)\/(-2)). Suppose 5*i + 5 = -2*l, -l - 7 = 2*i - 4. What is the tens digit of 90\/12*d\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*p - p = 5, 0 = -3*p + 15. Solve 0 = -5*j + z*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395753 a multiple of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 53*n**7\/30 - n**6\/120 - 139*n**3\/2 - 206*n**2. Differentiate s(y) wrt y.\nAnswer: 1484*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86948053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (171\/(-228))\/((-8)\/80*(-6)\/(-20))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 10, 9 = v + 5*n - 9. Suppose 0 = 9*f - v - 371. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82080 and 92340.\nAnswer: 738720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 247\/(-7). Suppose -m + 0*m + l = 0. Suppose -5*q + 35 = -2*f, -3*f = -3*q - q + m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92.2731 millilitres?\nAnswer: 0.0922731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (1 + 1*sqrt(200))) + -5 + 1*(4 + (sqrt(200)*-2 - sqrt(200) - sqrt(200))))**2.\nAnswer: 160*sqrt(2) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 16*k**2 + 15*k - 13. Determine f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001067 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o\/((((o\/(o**4*o))\/o)\/o)\/o))*o*o*o)\/(o**(-2\/53)*o*o))**(-3\/2) assuming o is positive.\nAnswer: o**(315\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 770 - 430. List the prime factors of q.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14975 = -6581. Suppose -2*m + 12210 = -c - x, -35213 = -4*m - 3*c. Is (0 - -1)\/(13\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1401 and 58.5677.\nAnswer: -1342.4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4)\/((-25)\/(-10))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {o: 2, r: 1, j: 1, q: 3, k: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/21, 386, -2, 0.1, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1020 and 309400?\nAnswer: 928200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 8. Let o(s) = 4*s + 22. Let g be o(-8). Determine i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1063788 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 53416*u**3 + 178329316*u**2.\nAnswer: 4*u**2*(u + 6677)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3626\nAnswer: -362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84)*-3 + sqrt(84)) + (-2*sqrt(84) - sqrt(84))*-6)\/((1*-2*sqrt(132))\/(1*sqrt(1331))).\nAnswer: -66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-5 - -1 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5085, 5114, 5145, 5178, 5213, 5250?\nAnswer: 5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 723*d**2 - 33*d**3 - 42*d**3 - 8*d.\nAnswer: -75*d**3 - 723*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130309377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -3292?\nAnswer: -3292.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2\/43, 1\/4, 6.\nAnswer: -2\/43, 1\/4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = -2*a - 16, 2*x = 2*a + 10. What is the fourth biggest value in 0.3, 0.1, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -267, -415, -631, -921?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let b(z) = d*z**2 + 0*z**2 - z**2. Let n(j) = -699*j - 28. Let c(w) = 50*w + 2. Let m(y) = 14*c(y) + n(y). What is m(b(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 703, 1573, 2781, 4321?\nAnswer: 6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (31 - 16) - (-12 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s*z - 22*s - z + 12 wrt s?\nAnswer: 3*z - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {o: 1, t: 1, k: 2, d: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 - 241. Let g = r + 45. Let k(m) = m**3 + 5*m**2 + m + 3. Give k(g).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 24 - 43 + 18)*(-2*f - f + f).\nAnswer: 6*f**2 + 98*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 6*k = -18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-2 - 4) + (-6 - -28)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66986796 divided by 33493398?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -5 + 0*i**2 + 2\/3*i**3 + 0*i. Let g(k) = 19*k. Calculate g(y(p)).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-124)\/((-29016)\/45)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 17, 3 in decreasing order.\nAnswer: 17, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2402162, -9608666, -21619512, -38434700, -60054230, -86478102?\n\"Answer: -2402171*j**2 + 9*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4 - ((-95095)\/(-14))\/(-5). What is g rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 616, 732, 848?\n\"Answer: 116*k + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137 - 70 - 67 - 1243*g**2 to q + c*g + d*g**2 and give d.\nAnswer: -1243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/16)\/(7\/28)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232*z**5 + 139*z**2 - 289*z**2 + z**3 + 17 + 150*z**2 - 2*z + z**3 wrt z.\nAnswer: 4640*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -13*d**4\/24 + d**2. Let a(p) be the third derivative of -11*p**2 + 1\/30*p**5 + 0 + 0*p**4 + 0*p**3 - p. Calculate a(u(i)).\nAnswer: 338*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11617787 is divided by 2390?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -220112011021021002?\nAnswer: 220112011021020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-28) + (0\/1 - -2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 11*z**2 - 180. Let k(c) = -8*c. Give v(k(o)).\nAnswer: -176*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-240)\/84 + (2\/3)\/((-28)\/6). Let f(l) = -32*l - 2. Calculate f(z).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/72*-99 - 1\/2. Which is the closest to o? (a) -1\/2 (b) 1 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161612896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - s - s + 2*s - 13*s - s + (5*s - 4*s - 3*s)*(1 + 0 - 2) - s + 3*s - s + 35684 + 139*s - 35684 to the form w + f*s and give f.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*z - 31, -z + 3 = -565*y + 563*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36234 and 74481.\nAnswer: 1340658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 983.56 and 3.4.\nAnswer: 3344.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c + 3*w + 12, 2*c + w - 4 = 0. Solve -c*z + 8*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/((sqrt(5) - -4*sqrt(30)\/sqrt(6) - sqrt(5)) + sqrt(5)) + -3*sqrt(684) + -2)**2.\nAnswer: 356*sqrt(19)\/5 + 150599\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*h**2*i**2 + 217*d**2*h**2 + 4*d*h**2 - 5*d*h*i**2 + 36*d*h - 2*h**2 wrt d.\nAnswer: -4*h**2*i**2 + 434*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10035, 20078, 30117, 40152?\nAnswer: 50183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/9 - 1804*g**2\/3 - 814205*g - 14634050\/9.\nAnswer: -(g + 2)*(g + 2705)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + 306\/(-27) - 12\/(-9). Let n(f) = -f - 1. Let i(c) = -6*c - 1. What is a*i(t) + 5*n(t)?\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26)\/(-1) - 33\/(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 8*i - 11. Let p be q(-9). Let o = -9 + -8. Let s = p - o. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, -4\/3 in increasing order.\nAnswer: -3\/2, -4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + f)*(7 + 2 + 3)*(1 + 2 - 6).\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 = 4*b + 2, x = 4*b + 14. Suppose 2*u - 3*f - 7 = 0, -3*u - 6*f + 19 = -x*f. Solve 4 + u = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 242*o - 6289. Let u be g(26). Solve 10 = 2*q, 0*h - u*h + 5*q = 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2302848 = -9*k. Suppose d - 5*d = -5*x + 2, 2*d + 4 = 4*x. Suppose -k = d*b - 591904. What is b rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 1:55 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 11. Suppose -13*u = -9*u - 16, 4*u + 4 = 2*w. Determine v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125581?\nAnswer: 31, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88107845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:25 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 9*k**3 - 1 + 0*k**3.\nAnswer: 5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3 - 4\/(-6). Let g = -2 - -3. What is the first derivative of -u*f - 3 + g + 0*f wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.33. What is the third smallest value in 1\/5, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/324*51\/34\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -4, -2\/17, 417?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18660 = 4*t + 6*t. What are the prime factors of t\/4*4\/6?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 134. Let n(b) = -38*b + 176. Let j be n(5). Is 5 a factor of w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 1, l: 1, x: 5}. What is prob of sequence xz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 + 89*a**3 + 100*a**2 + 19*a**2 - 161*a**2 + 20*a**2 + 2.\nAnswer: 89*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(256)*5 - sqrt(16))\/(sqrt(128)*1 - sqrt(128) - sqrt(128)).\nAnswer: -19*sqrt(2)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 7882?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.04063mm in kilometers?\nAnswer: 0.00003304063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5807, 6269, 7511, 9923, 13895, 19817?\n\"Answer: 65*d**3 + 7*d + 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396) + -1)**2 + sqrt(396)*2 + 5.\nAnswer: 36*sqrt(11) + 1590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7))**2*-4*-6 + (sqrt(112) + -2 + sqrt(112))**2*5.\nAnswer: -208*sqrt(7) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/3 + 5104\/12*1?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**6\/6 + 3*b**5\/2 - 15*b**4\/4 + 47*b + 44. Let g(o) be the first derivative of s(o). Suppose g(r) = 0. What is r?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let z(w) = -2*w - 2*w + 0*w + 0*w + 2. Calculate 2*x(f) - z(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122*i**2\/5 + 283888*i - 69810.\nAnswer: 2*(i + 11635)*(61*i - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*q + 80*q - 19*q in the form z + a*q and give a.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*c - 12*c - 615 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.999896 - -28. Round n to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/9, 3\/44 in ascending order.\nAnswer: -3, 3\/44, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-72) + 616\/18. Solve -t - 29 = -d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c + 5*c - 13*c + 5*c. Let k(g) be the second derivative of -g**3\/3 - 3*g. What is k(o(w))?\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) 3.4 (d) 2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8*g. Suppose g = 12*t - 17005 - 10943. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + -2 + 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2 - g - 2. Let q(r) be the first derivative of 5*r**3 + 3*r**2\/2 + 7*r - 537. Give 7*o(b) + 2*q(b).\nAnswer: -5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:31 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116584612 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/4, -1\/4, -31 in descending order.\nAnswer: 3\/4, -1\/4, -0.4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**2\/3 + 2450*b\/3 + 300125\/3 = 0.\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-1 - 2) + 29. Solve -2*b + 3*r - 15 = -2*r, r = -5*b + h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let c(t) = -2*t**2 - 984*t. Determine c(z(k)).\nAnswer: -8*k**4 + 1968*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1214244?\nAnswer: -1214251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -13. Let y be (-6 + m)*(-2 + 1). Which is the second biggest value? (a) -1\/3 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3593201?\nAnswer: 3593201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 268513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 1 + b + 2*b)*(3*b - 4*b + 3*b)*(4 - 3*b**2 - 4) in the form i*b + q + d*b**2 + u*b**4 + a*b**3 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*i - 2*j = -230*i + 1, 0 = -3*i - 5*j - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-50))\/(((-33)\/(-11))\/15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8315 is divided by 2257.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. Suppose -4*q + a + 13 = 0. What is the lowest common multiple of (-63)\/(-12) + (-1)\/q and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2\/2 - 255555*c\/2 - 255565 = 0.\nAnswer: -2, 51113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 908 + -905. Let v(g) = -27*g + 5. Calculate v(p).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjp when three letters picked without replacement from vexsspj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682063651?\nAnswer: 523, 1304137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -230e?\nAnswer: 22e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2172\/18 + -1 + 4\/(-6). Suppose 3*p + 107 = r. Suppose -4*d + 2*d = 6, -p*c = 3*d - 63. Calculate the greatest common factor of 72 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35877 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844 is divided by 62.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4848 and 365324.\nAnswer: 442772688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/20 + -4)\/((-6)\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/2 + 13*y\/2 + 15 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-14) - (-32)\/7. Suppose h + 3*v = 124, 424 = -2*h + s*h - 4*v. Calculate the highest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 4*u + 1. Let i be n(-4). Let k be 1*(0 + i)*0. Solve 0 = -k*d + 3*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7211 + -7303. Suppose -2*b + 458 = -0*b. Let o = b + x. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4\/67 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*r - 0*r. Suppose 0*f + r*f = 4. Solve 0 = -u - f - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -40. Suppose -2*o - 2*o + 28 = 0. Suppose 5*q - 3*t = 2611, o*q - 1567 = 4*q + n*t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8 + 2*p + p**2 + 0*p**2 - 4*p**2 + 4*p**2. Is u(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.1. Let j = 72.43 + 1.57. Let f = j - 70. What is the second smallest value in 5, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + c - 1. Let q be u(1). Is q less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 - -118 - (-13 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.968605 micrograms in tonnes?\nAnswer: 0.000000000000968605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**8\/96 - 43*z**7\/35 - 2323*z**6\/240 - 531*z**5\/20 - 205*z**4\/12 + 46*z**3 + 2474*z**2. Determine s, given that u(s) = 0.\nAnswer: -69, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.81 - 0.29. Let n = g - -1. What is the nearest to n in 2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/2 (b) 0 (c) -3\/8 (d) -11 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 3. Let i(y) = 2*y - 10. Let b be i(7). Let q(w) = 37*w - 32*w + 1 + b. Calculate 5*m(j) - 3*q(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxxt. Give prob of picking 2 t and 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-22 - (15 + -23)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-6 + 15) - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 15*r**5 - 10*r**4 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117*i*s*v - i*s - 375*i*v**2 - 186*s*v**2 + 25*s - v wrt i?\nAnswer: 117*s*v - s - 375*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -268c - -765a?\nAnswer: 4c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 + 1 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(1323\/36) - 46\/7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let y(n) be the first derivative of n**2 + 67 + 38\/3*n**3 + 0*n. Calculate y(p(i)).\nAnswer: 152*i**4 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33396\/(16\/4)*1 - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13815 or -2?\nAnswer: -13815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200212010221111 - -10?\nAnswer: 200212010221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ee8 - -258?\nAnswer: -1c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597968133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 183027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/35)\/((-1)\/10). Let m be 86\/r - 10\/30. What is the highest common divisor of m and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**12)\/c**6)\/(c**9*c*c)**(1\/6) assuming c is positive.\nAnswer: c**(-113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 - 144. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = 3*o, -8*o - 6 = -5*o - 3*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 2079244*z**2 - 270154606860*z - 12701859987708.\nAnswer: -4*(z - 259929)**2*(z + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21795\/4 - -16312\/3. Let n = 10 + -18. Calculate the common denominator of j and ((-53)\/n + 2)*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*q + q + 5*s, -q + 9 = 2*s. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*g + 27 = 2*g, -5*h + 4*g + 137 = 0. Let f = h - 26. Solve f + 7 = -3*k - z, -k + 3*z = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 12*i + 16. Let q be f(11). Suppose -15*t + q = -6*t. Calculate the least common multiple of 7 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 28*g**3 - 5*g**2\/2 + 2*g - 110. Let w be n(-1). What is the highest common divisor of w and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10449, -83769, -282813, -670443, -1309521, -2262909, -3593469?\n\"Answer: -10477*n**3 + 19*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 14*b - 5*t - 40, 32 = 5*b + 3*t. Solve 10 = b*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))**(-2\/59))**(-22)\/(g**(1\/7)*g*g\/g**2*((g*(g\/(g\/g**(-3)))\/g)\/g)\/g*g*g*g**5*g*g*g) assuming g is positive.\nAnswer: g**(-1508\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 1. Suppose -h - 2*o - 11 - 21 = 0, -3 = 3*o. Let v = -24 - h. Let u be (v\/4)\/((-6)\/(-8)). Determine a(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/7 - 1. Let i = 2.06 - 0.06. Let q be 4*1\/((-4)\/(-3)). What is the second biggest value in f, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*k - 15, 102*k + 20 = 106*k - 2*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929*-0.35125.\nAnswer: 326.31125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -167.28865 and 26303?\nAnswer: 26470.28865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 914984758 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-150)\/1*18\/27. Let x be 2\/13 + l\/(-26). Find the second derivative of 0*d + d**2 - x*d**3 - 6*d - d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + -0.6. Let t = r + 0.51. Put -4, 3, 0.4, t in descending order.\nAnswer: 3, 0.4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 3*y**5 + 0*y**5 + (9 - 4*y**4 - 9)*(3*y - y - 3*y) - 2*y**5 - y + y + 8*y + 6*y**5 - 8*y.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 16*q**5\/5 - 8*q**4 + 20*q**3\/3 - 2*q**2 + 1. Factor x(i).\nAnswer: 4*i*(i - 1)*(2*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40320 (base 5) in base 9?\nAnswer: 3482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4 + 3 - 3 - 4 + (3 - 6 + 4)*(-3 - 2 + 3))*(-3*q**4 - 3*q**4 + 4*q**4) in the form g*q**2 + f*q**3 + m*q**4 + z + a*q and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932193 divided by -48?\nAnswer: -1932193\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47765\/6 - 7978. Calculate the common denominator of a and -95\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 924 * 7.\nAnswer: 6468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -308 (base 15) to base 7\nAnswer: -1664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1237*m + 5122. Give c(4).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -36, -96, -212, -402?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-687)\/9 - 10\/15. Let u = -75 - q. Solve 3*d + u*d - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.97 - -0.03. Let x = v - 17. Let u = x - 5. Put u, -2, 0 in ascending order.\nAnswer: -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29018707 is divided by 3224299?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b4 + -252?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 3. Let n(q) be the first derivative of -q**2\/2 + q + 5. Let i = 7 - 4. Give i*n(x) + t(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-21) - (-7200)\/336)*-1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 138\/181?\nAnswer: 138\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + -5 + 11 - 8\/(-40). Which is the closest to 1? (a) h (b) -41 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314628 by -10.\nAnswer: -157314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 2231, 7642, 18199, 35618, 61615, 97906?\nAnswer: 146207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22126967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74389, 74390, 74391, 74392, 74393, 74394?\nAnswer: 74395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(108) + 0 + -3 - (sqrt(108) - sqrt(108)*1)*5 - 4*(-4 + sqrt(108) + -1 + sqrt(108) + sqrt(108)))**2*2.\nAnswer: -13464*sqrt(3) + 80137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -30944977 and 1.\nAnswer: -30944976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 8. Which is the third smallest value? (a) -0.2 (b) 1\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**24\/(i**(5\/9)\/i*i) assuming i is positive.\nAnswer: i**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306477 is divided by 61225.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 11*o = -3*v - 663, o - 3*v = 177. Let u be 3*9\/(o\/24). Is u\/6 + 4542\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 56\/5, 0.76, 15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.33*11\nAnswer: -3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2\/15 - 44306*w\/15 + 7384\/5 = 0. Calculate w.\nAnswer: 1\/2, 11076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 29*t - 73. What is f(32)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349337*g**2*y**6 + g**2*y + g**2 + 3*g*y**2 - 5079*y wrt y.\nAnswer: -41920440*g**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 1, d: 6, w: 1, j: 1, p: 6}. Give prob of sequence wvqj.\nAnswer: 1\/43680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2338520 to the nearest ten thousand.\nAnswer: 2340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 5*m**2 + 2*m - 3. Let j(d) = -d**3 + 4*d + 2. Calculate the remainder when t(-4) is divided by j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6122*-1013\nAnswer: -6201586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-3) - 13\/5. Suppose -47*m + 48*m = 10. Let o be 55\/m*(-8)\/(-22). Which is the smallest value? (a) o (b) -0.1 (c) -1\/8 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 5526*t - 5536*t - 42 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 903120 and 8?\nAnswer: 903120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 14 - 47 = 0. Let p = 54 - 23. What is the remainder when p is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2716*j**2 - 25*j - 2708*j**2 + 27*j - j**3 - 1 + 2. Give r(7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*f + 34 = 0, -f - 7 = v - 5*f. Suppose v*a - 7 = 3. What is the second derivative of -4*t + 5*t**2 + a*t - 4*t**2 wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Let q be 6 - z - 3*-1. Suppose -4*m = -q - 17. Solve -4*s = -5*j - 20 + 5, 2*j + m*s - 27 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-793)\/14274)\/(34\/(-108))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 1 + -50 + 19 + 6 + 27\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 805585506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/28)\/((-3)\/6). Which is smaller: q or -14\/111?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/168*7\/(-98)*-4*75.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-24 - (-65 - -22)) + -16) - -118?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 132, 128 in descending order.\nAnswer: 132, 128, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -16957 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1201200 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 24. Let x(a) = -a**2. Determine x(h(m)).\nAnswer: -m**4 + 48*m**2 - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6543 or -6544?\nAnswer: -6543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 444980 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - c + 96 = 3, 4*j - 4*c - 108 = 0. Let y = 47 - 31. Calculate the remainder when j is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3810 - 3804. Sort -2, -1, n, 19 in descending order.\nAnswer: 19, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609387 is divided by 223?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.216 + -3.216. Which is the closest to v? (a) 1079 (b) 0.3 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10820 = 4*b, 3*b + 6*i - 2*i = 8115. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3090 - 6*h**2 - 3090 + 6*h**2 - 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17206 - 17212. Let q(i) = -i**2 - 13*i - 44. Determine q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51976 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8982075 by -123.\nAnswer: -73025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 701350267 to the power of 1\/2, to the nearest integer?\nAnswer: 26483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 1. Let j be ((-7)\/28)\/((-1)\/4). Let v(l) = 6*l - 2. Let h(u) = j*v(u) + 3*m(u). What is h(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) -2 (c) 0.1 (d) 3 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3*n**2 - 3*n - 3. What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -77*o + 67. Let x be r(15). Let b = x - -14162\/13. What is the smallest value in -0.3, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.3 + -63.33461. What is y rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3, -87*s + 65 = -92*s - 5*d for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -861*d**3 + 9*d**2 + 3*d - 2. Determine v(-1).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*r - 2407, 807 = -3*c + 2*r - 638. Let s = c + 488. Solve 5*k - 22 = -2*f, -4*f + 0*f + 24 = s*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -361326, -722636, -1083946, -1445256, -1806566, -2167876?\n\"Answer: -361310*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let l(u) = -16*u + 18. Calculate -4*l(y) + 72*x(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 11, 6, -1, -10, -21, -34?\n\"Answer: -n**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2964*l**2 + 5944*l**2 - 2964*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -36*a + 33*a. Let w = -19 + a. Calculate the smallest common multiple of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4437*k - 4437*k - 12 + k**2 + 68.\nAnswer: k**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14521033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16491*v + 5551*v + 5*v**2 + 5579*v + 5361*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a factor of 401691745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 19, 23, 27, 31?\n\"Answer: 4*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 17}. What is prob of picking 2 o?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 417165.\nAnswer: 4\/417165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 30*m**2 + 31*m + 41. Let o be w(-31). What is the highest common divisor of 205 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 0 + 9 + 3*d**2 + 4 to the form v + u*d + r*d**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 14.439, 3, 238?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 3*t**2 - 2*t - 1. Let g be 1\/((-2)\/((-144)\/3)). Let q = g - 36. Let k be 3*q\/9 + 1. What is a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 154574443 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1098\nAnswer: 109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*t + 21941 + 9536, -5*j + 3*t = -31447. Calculate the highest common factor of 609 and j.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -845a2c?\nAnswer: -845a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60911.48071 rounded to the nearest integer?\nAnswer: 60911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13546 is divided by 6757?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - 17*h**3 + 18*h**3 - 31.\nAnswer: 8*h**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 + 151 = 2*q + 2*t, -3*q + t = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2219156852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = v - 13, -23*v = -22*v - 2*i - 18. Solve v*t - 4*t - 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 6942.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -579?\nAnswer: 3\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 6*a - 5. Let c(l) be the second derivative of l**4\/4 - 5*l**3\/6 - 2*l**2 - 7*l. Determine -6*c(u) + 5*d(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2. Let s be -21 - -14 - -9*1. Let g(h) = -4416*h**2 + 4413*h**2 + 4*h**3 + 2 - 1. Give s*n(a) + g(a).\nAnswer: 2*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86778200 rounded to the nearest one hundred thousand?\nAnswer: 86800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 64638?\nAnswer: 258552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 73*i**2 - 75*i - 155. What is the remainder when 146 is divided by z(-72)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, t: 3, j: 2, o: 5, l: 3}. What is prob of picking 3 o and 1 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42320 and 52900.\nAnswer: 211600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 1. Let x(l) = 10*l - 22. Calculate -c(w) - x(w).\nAnswer: -8*w + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*u - 4*y - 208, 0 = -u + 5*y + 86. Suppose 2 = 2*c - 36. Calculate the remainder when u is divided by c - (-1 + -1 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 216*l**2 + 18*l**3 - 16*l**3 - 209*l**2 + 1 + 9*l + l**3 - 2 + 2 + (2*l**2 - 4*l**2 + 4*l**2)*(l - 2*l + 2*l).\nAnswer: 5*l**3 + 7*l**2 + 9*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 10*n + 5*q, -2*q = -3*n - 12 + 29 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6437897 divided by 4?\nAnswer: -6437897\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 + 166*a**3 + 4782*a**2 + 53650*a + 168200 = 0. What is a?\nAnswer: -29, -20, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*x - n - 9 = 316*x, x - n - 6 = 0. Sort 1222, 2, x in descending order.\nAnswer: 1222, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 87\/4 + 4\/16 - 2. Let d(b) = b**2 + 5*b + 4. Let j be d(-5). Suppose 16 + m = j*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f + 1. Let c = 0 + f. Let n = -3 - c. What is the nearest to -1 in n, 0.2, 2\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -45. Let o(p) = 216*p**2 - 2*p + 1. What is the tens digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62081812?\nAnswer: 2, 13, 91837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (112 + 46*a - 53 - 60)*(-3*a**3 + 3*a**3 + 2*a**3) to the form u*a + c + z*a**4 + r*a**3 + y*a**2 and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124\/9? (a) 2 (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.08 - -27. Let f = -0.18 - m. What is the smallest value in -1\/4, 0.1, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (sqrt(98) - 5*(sqrt(98) + 3) - ((sqrt(98) - (3*sqrt(98) - sqrt(98))*-2)**2 + sqrt(98))) + 0).\nAnswer: -7389 - 105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xvssnqswxxnqnnssnsss.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30b9 (base 13) in base 9?\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*1 + 0)*-2)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 9*i = 15990. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 703521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 + -836\/5. Calculate the common denominator of 30\/7 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from larlrlaal.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1 (c) 0.4 (d) -2\/7 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/((16\/10)\/(-4)). Suppose -15*q = -10*q + s. Let h(z) = z**3 + 5*z**2 - 6*z - 1. Calculate h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a factor of 2966313839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4. Let x(v) = 2*v - 18. Let g(q) = 11*i(q) - 3*x(q). Calculate g(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -206, -454, -790, -1208, -1702, -2266?\n\"Answer: j**3 - 53*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 156?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.251050502 to four decimal places.\nAnswer: -0.2511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10\/3))**(-25))**(-2\/37) assuming q is positive.\nAnswer: q**(-500\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26392\/3 in -4, 1\/2, 4, 2\/3, 1\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106775*c + 106673*c - 213316*c.\nAnswer: 132*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341 - -347. Let s be (-4 + (-85)\/(-10))\/(m\/4). Let j(z) = 2*z**2 - 5*z + 3. What is j(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-70)\/(-5))*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(162)*1 + 4)**2 + 4 + 3).\nAnswer: 144*sqrt(2) + 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by -593173.\nAnswer: 57\/84739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 7, m: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*j - 1 - 3)*(-30 + 8*j + 30).\nAnswer: -16*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 14, i: 4}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1503)\/(-835)*-1*(-5)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:59 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 3223668190*h - 4*h**2 - 3223668190*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127.17 + -174.17. Which is the biggest value? (a) 2 (b) 3\/5 (c) 5 (d) r (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0*a - 7*a - 2*a + 218686 - 218686. Let k(r) = 58*r**2. Determine o(k(g)).\nAnswer: -522*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 42 = -g, -5*g + 215*f = 214*f + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 15*g**2 - 15*g + 3. Let i be z(-14). Suppose -6*k + i = -1. Suppose 3*s + 6 = -f, f + s - k*s = 9. Solve -f*u - 20 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 0*a)*(8*a**2 - 6*a + 20*a - a**2).\nAnswer: 14*a**3 + 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2464 - 1431 = 4*w, 3*i - 5*w = -2300. Let f = i - -5441. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4166 - -4235. What is the greatest common divisor of l and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(2\/(-45)) - -3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122196 divided by -7161?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.018 - -2.982. What is the biggest value in -3\/7, d, 4\/9, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p + 1584 = 203*p - 27*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/20 - l**4\/2 - l**3\/6 - 5*l**2\/2 - l. Let f be t(-6). Differentiate f + 1 - 2 - v**2 - 1 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 166053944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (3 - -1 - 3). Suppose n*o = 13*o. Sort 1, -5, o in decreasing order.\nAnswer: 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -992*k*q**3 - k*q**2 + k*q - 475*q**3 - 45 with respect to k.\nAnswer: -992*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -841 + 843. What is the fourth biggest value in 2\/5, f, 5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10271 - 425875.232.\nAnswer: -425875.33471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 2*x - 130 = 0, -63*k + 15*x - 22*x - 55 = -65*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4046401.84 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 9*k = 437 + 11542. Which is smaller: k or 1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/42 + p**3\/7 - 2*p**2\/7 + 6*p. Factor u(j).\nAnswer: -2*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let m = 15.2 - 15. Let l(q) = q**3 - q**2 - 4*q + 3. Let v be l(2). Which is the closest to j? (a) 1\/2 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*c = -12, 20 = -5*k + k + 5*c. Let d be (-4)\/(-3 + k + 1). What is the highest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -127518*j + 765083. Determine n(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-6)*(-236)\/252343*-47?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9729378.\nAnswer: 2, 3, 61, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4239335 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 4*u + 32. Give q(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0511 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*i**2 - 18*i**2 + 2*i**2)*(0*i - 3*i + i)*(-5 + 1 - 2)*(1 + 2 - 5) to the form n*i**3 + k*i + x + f*i**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p - 1. Let u = 37 + -38. Determine l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2501264*n**3 + 14*n - 61926 wrt n.\nAnswer: 15007584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0987305635 to four dps.\nAnswer: 0.0987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 862311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-g + g - g)*(5*g**3 + 2*g**3 - g**3)*(-1 - 2 + 4).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153*j + j**3 - 9*j**3 + 149*j + 4*j**2 to the form r + t*j**3 + l*j + n*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757223 (base 10) to base 4.\nAnswer: 2320313213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25724313.243 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -42. Let m(x) = 2*x**2 - 3*x + 3. What are the prime factors of m(g)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 89, -4, 2\/49, -1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - t + 5 = 0, -3 = -2*g - 3*t + 12. Find the second derivative of 2 - 2 - 16*b + 6*b**3 + g*b wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -6. Let y be ((-10)\/(-25))\/((-1)\/(-15)). What is the third derivative of -25*g**y + 11*g**6 + 5*g**a + 16*g**6 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 2, r: 2}. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = j + 2*r + 30, -r = -j - 84. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*b**4 + 59 with respect to b.\nAnswer: 852*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149071546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -269*o**2. Let d(s) = 4*s. Calculate d(w(x)).\nAnswer: -1076*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, 194, -3, -4 in ascending order.\nAnswer: -4, -3, 0, 1, 3, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -14, -69, -178, -359?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*h**3 + 6*g*h - 127*h**6 + 57*h**2 wrt h?\nAnswer: -6*g - 15240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1700) + sqrt(272)*-2 - -5*((-2*(sqrt(17)*-1 - sqrt(17)))**2 + 0).\nAnswer: 22*sqrt(17) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -2. Suppose g = -0*h + 2*h + p, -3*g + 2*h = -72. Let m be (-16)\/6*30\/(-20). What is the greatest common factor of g and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1294 and 46?\nAnswer: -5.9524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -9. Suppose 2*t + 5 = s - 1, 2*t = -4*s + 34. Suppose 6 = -2*h, h - 2*h = 5*d + s. Which is the closest to 1? (a) -2 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(360)\/sqrt(6)*-3)\/(sqrt(1728) + sqrt(1728)*-3))**2.\nAnswer: -5*sqrt(5)\/4 + 1605\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/4 + (-11)\/(-4). Let c = 0 + b. Let -2*g**4 + 6*g + 3*g - 12*g**c + 8*g**3 - 2 - g = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 140. What is the highest common factor of y and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 132. Let r be k(-34). Suppose -i + r = 4*h, -6*i = -3*i + h - 90. Solve 5*y - i = -3*s, 5*s - 34 = -3*y - 0*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -361, -536, -699, -844?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -194\/1156395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 - -1549\/9. Find the common denominator of 1\/36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -41074.2595.\nAnswer: -41073.2595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16190 - 550503\/34. Let n = b - -2051\/170. Calculate the common denominator of n and (-436)\/(-126) + (-99)\/(-231).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2 - 2*l**2 + 6*l + l**2 + 0. Let n be x(6). Let c = -178 - -168. Put c, n, -2 in descending order.\nAnswer: n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cc2 (base 15) to base 2\nAnswer: -101101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 13 = 2*y, -22*q = -5*y - 24*q - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**4 + m**3 + m**2 + m - 1. Suppose -4 = -3*z - 1. Let u(p) = 9*p**4 + 12*p**3 + 9*p**2 + 6*p - 6. Let b(y) = z*u(y) - 6*w(y). Factor b(x).\nAnswer: 3*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*b + 277*b = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -818? (a) 0 (b) -1 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 21. Calculate the greatest common factor of l and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2016)*4 - sqrt(2016))*-1)\/((-1*sqrt(56))\/sqrt(8) - (sqrt(49)\/(sqrt(7)*4) - sqrt(7))).\nAnswer: -864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/2663 and -75\/4?\nAnswer: 10652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 2150640 = -66*a. Round a to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 52 - 157. Find the common denominator of (-17)\/((-3)\/h + -3) and -97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:41 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 462 or 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 8 - 0. Let p be 5\/(10\/(-6)) + 20094\/34. Is 21 a factor of v*(p\/(-20))\/((-4)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31745.\nAnswer: 5, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1013, 1015, 1017, 1019, 1021, 1023?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-3)\/1503). Suppose 13*s - 2 = u. Suppose 0 = -5*h - t + 25, 0 = 4*h - s*t + 17*t - 36. Solve 0 = -h*n + 8 + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -4.8967431?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11784 divided by 6?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 8, 19, 26, 29, 28, 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -72.5.\nAnswer: -362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 - -206. Put -2, -16, n, 2 in descending order.\nAnswer: 2, n, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let r(s) = -52*s + 5. Let a be r(-1). Let f = -39 + a. Let p(o) = -480 - f*o + 480. Determine b(p(d)).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -31 + -25 + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 500828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3232 and 179780.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1034.1 times 9\nAnswer: -9306.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*j + 40 = 0, -13*k + 4*j = -9*k. Let i(x) = x**2 + 4*x - 1. What is i(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*g + 3869*g + 29 - 29 + 1127*g as w*g + o and give w.\nAnswer: 4745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 * 102.\nAnswer: 10914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5736178 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/35 - (-2)\/(-7). Suppose q - w*l - 7 = 0, -3*q - 2*l + 11 = -4*l. Let c = 4 - q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3526 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/10 - (-6)\/(-15). Let a be (-16)\/24 + 22\/6. Solve b + 6 = -q*x - 3, -a*x = b + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 88726801?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 343*i**2 + 21483*i + 21141.\nAnswer: (i + 1)*(i + 81)*(i + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 106 in ascending order.\nAnswer: -2, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - v - 1. Let c(h) = h**2 + h. Let l(z) = 8*z**2 + 7*z + 2. Let r(a) = -5*c(a) + l(a). What is 10*i(u) + 6*r(u)?\nAnswer: -2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 11, 8593, 1, 0 in ascending order.\nAnswer: -6, 0, 1, 11, 8593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1556, 4 in ascending order.\nAnswer: 2, 4, 1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204312\/23 + 408739\/46. Factor -g*j + 1 + j**2.\nAnswer: (j - 2)*(2*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjkkkkk. Give prob of picking 2 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a - 2*v - 8 = 0, 0 = -4*a - 5*v + 13. What is the third derivative of 7*g**2 - 4*g**a - 14*g**3 + 5*g**2 wrt g?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/10 of a day?\nAnswer: 2736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a**2*g*n + 2*a**2*n - 68*a*g + 11629*a*n + 3*g**2*n wrt g.\nAnswer: -7*a**2*n - 68*a + 6*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.4, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 5*o**9\/504 + 7*o**6\/120 + o**5\/30 + o**4\/24 - 61*o**2. What is the third derivative of n(a) wrt a?\nAnswer: 600*a**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -181, -266, -347, -424?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6436247.055+-2\nAnswer: -6436249.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.032 + 0.678. Let a = s + -0.48. What is a rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/21424 and 109\/171392.\nAnswer: 171392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/4*(-12)\/15. What is the units digit of (-2)\/(-2*(-2)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79816, -79812, -79806, -79798, -79788, -79776, -79762?\nAnswer: -79746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) 0.2 (c) -975 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s**2 + s + (-3 - 1 + 3)*(-3*s**2 - s**2 + 3*s**2) - s**2 + 303*s - 303*s - 2 + 11*s**2 + 9*s - 17*s**2 - 5*s.\nAnswer: -4*s**2 + 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-36)\/(-144)*16\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/445 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 40 = 28*c. Let v(u) be the first derivative of 7\/6*u**3 + 1\/2*u**c + 9\/8*u**4 + 1\/12*u**6 + 0*u + 1\/2*u**2 - 8. Factor v(b).\nAnswer: b*(b + 1)**3*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*h + 10. Suppose h*u + 44 = -0*u. Let k = 32 + u. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 1, e: 7, b: 1, y: 3, u: 1}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**(-10)*c*c*c)\/c)\/c)\/c)\/c*c**6)**10\/(((c\/c**(-2))\/c)**26\/(c**(2\/5))**(-9)) assuming c is positive.\nAnswer: c**(522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r - 16. Suppose 4*n + 34 = -3*b + 2*b, -2*b - r*n - 52 = 0. Let g = 1081 - b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -13 (c) 1\/7 (d) 1\/4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/375672 and -91\/484.\nAnswer: 4132392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-3))\/6*4. Let h(y) = -3*y + 6. Let j be h(m). Solve -2*a - 3*t = -0 + 5, -4*a + t - 17 = j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22015*v - 91710*v - 476409*v.\nAnswer: -590134*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-15) - 5)*(-6)\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -48. Let r be (-12)\/t - (-372)\/27. Calculate the greatest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, 1, 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 827 - 6381\/7. Let i = 629\/7 + u. Find the common denominator of 35\/207 and i.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2666*s + 3079*s - 9912 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*h + 140 = 158, -4*h = 2*l - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/18 + -13\/126. Let i = -10.1 + 10. What is the closest to 0 in h, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 2249 = -6*t. Let d = 25 - t. Calculate the remainder when d is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-2))\/((-93)\/(-1116)))\/((-30)\/(-105)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/3)\/r*r**(-3)*(r*r*r*r*r\/r**(-6))\/r**(-2\/5) assuming r is positive.\nAnswer: r**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*a - 86*a + 162 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 11*x - 31. Let i be f(-7). Let t = 15 + -11. Let h = 0.04 + -4.04. What is the nearest to -0.1 in t, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m - 19. Let h be q(3). Suppose 2*c - p - 298 = 0, -p - 2*p = -h*c + 744. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + t - 11, -2*p + 14 = 5*t - 5. Let r(f) = f**p + 3 - 1 + 9*f + 5 - 5. Let c be r(-9). Solve -d - u = -c*d + 1, -d + 2*u + 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133095, -266190, -399285, -532380?\nAnswer: -665475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-14) - (-6 + (-3041109)\/63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 3*w - 4. Let i be k(3). Sort 1, -14, i, 4 in descending order.\nAnswer: 4, 1, i, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r - 2*r + 30*r - 16*r - 6*r - 8.\nAnswer: -4*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 63. Suppose -3*h = 3*q - i, -12 = -2*q + q + 2*h. Calculate the least common multiple of q and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l = 51*l - 348. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 134*h + 91*h.\nAnswer: -43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*((j\/(j*j**(-3)))\/j)\/j)\/(j*j**(2\/9)*j**(-2\/13))*j\/(j\/j**(-3\/4)*j)*j*j**1*j*(j*j**4)\/j**(1\/5) assuming j is positive.\nAnswer: j**(4637\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**7\/21 - 2*i**6\/3 + 13*i**5\/10 + 10*i**4 + 12*i**3 + 1143*i. Factor w(x).\nAnswer: 2*x*(x - 6)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -461, -448, -435, -422, -409?\n\"Answer: 13*j - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 293 = -14*g + 351, 4*i - g = -1 - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - be2?\nAnswer: -be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1694)*6)\/(6*1*sqrt(288)).\nAnswer: 11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 500\/120 + ((-6)\/(-5))\/(-6) and 3\/33*8\/6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.94. Let j = -0.09 - y. Let f = j + -0.07. What is the second biggest value in f, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-16)\/4 - -349998. Round s to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/24)\/(6\/33))\/(39\/(-52)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -8) + -7 - -67. Suppose 0 = -u + 4, y = j + 2*u + 6. Calculate the smallest common multiple of j and 120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4013 divide 76888026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 7)\/(1\/((-2)\/(-10))). Suppose -5*w - j = 8, -3*w - 2*j = j. Is w bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -44 - 31. Put -75, -1\/2, i in decreasing order.\nAnswer: i, -1\/2, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 18*c - 114. Suppose 55 = 2*x + y - 2*y, 5*x - 5*y - 145 = 0. What is the remainder when r(32) is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**4*x**2 - 2*h**3*x**2 + 39*h**2 - h*x**2 - 2*x**2 wrt h.\nAnswer: 96*h*x**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 2, 2\/5, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 44. Let x be h(-11). Suppose -8*q + 952 = -x*q. What is the greatest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2529245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2567954 centuries?\nAnswer: 25.67954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n**2 - 98*n - 842. What is the thousands digit of y(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 20 = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(2 + sqrt(13))*1 + 3.\nAnswer: 27 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(10\/9)\/(((s**(2\/41)\/s)\/s)\/s)*(s\/((s*s\/(s*s*s**(1\/3)\/s*s*s))\/s))\/((s**11*s)\/s) assuming s is positive.\nAnswer: s**(-1330\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i*i\/(i**8*i))*i)**(1\/11)*(i**(1\/15)*i)\/(i*i\/(i\/(i*i**(2\/61)*i))*i))**(-20) assuming i is positive.\nAnswer: i**(86476\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:32 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793792 a multiple of 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 + 855*l - 852 = 0.\nAnswer: 1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - q + 76 = -5*q, -q = 4*u - 65. Solve -3*r - 4*f - u = 0, r + 3*f - 2 + 9 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x**3 - 11*x**3 + 23*x - 23*x + 14 + 12*x**3 - 9*x**2 to a + z*x + k*x**3 + g*x**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218610103 a multiple of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - y + 3514 = 0, 5*k + 5*y + 1172 = 5587. What is the remainder when k is divided by 231?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -328 + 15?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121300\/3 or 40432?\nAnswer: 121300\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**4 - 165*t**3 + 24*t + 10 wrt t.\nAnswer: 48*t**2 - 990*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1068*b**2*p*s + 2*b*p*s + 7*b*s**3 + 5006*p*s**2 + p + s**3 wrt b.\nAnswer: 2136*b*p*s + 2*p*s + 7*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3 + 4491980*a**2 + 1261115524032*a - 1261120016016 = 0.\nAnswer: -561498, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 25*x**2 + 2. Let z be i(-6). Let t = z - 796. Is 320\/3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154*166\/(-4565)*1*2\/4?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.449366148 rounded to two dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 - 6*o - 3. Let t be d(5). Let f = t + 19. Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.0921, 0.04, 1, 6\/5 in descending order.\nAnswer: 6\/5, 1, 1\/4, 0.04, -0.0921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*l + 6*r + 79, -2*l - 3*r = -24. Let n be (10 + 0)*114\/(-12). Let c = -65 - n. Calculate the greatest common factor of c and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 80249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - 0 - (4 + -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4100045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyootooctooq. Give prob of sequence tq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 + 642 - 210 + 70*m**2 - 226.\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 12*r**3 + 12*r**3 + 86*r**2 + 9687*r**4 + 0*r + 48*r - 9685*r**4 - 160 = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 963.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from {q: 9, e: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -1, -5.1, -0.0086, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/3 + -5. Which is the nearest to -3\/5? (a) -4 (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 - 15*v - 3. Let s(a) = a**2 - a + 1. Let i(p) = -l(p) + 5*s(p). Let u be i(-7). Let t = -4 - u. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -69. What is the remainder when x is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829038 to the power of 1\/2, to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 8. Let k be l(-6). Suppose 5 = n - k. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163141 - 5479?\nAnswer: -168620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and 1\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 6:59 AM?\nAnswer: 278","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377900 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -1\/336*p**8 - 1\/70*p**7 + 0 - 1\/120*p**6 + 0*p + 1\/12*p**4 + 1\/20*p**5 - 18*p**2 + 0*p**3. Factor m(b).\nAnswer: -b*(b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88.3 and -0.5203.\nAnswer: -45.94249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -7*s - 78, 5*s - 4*d + 31 + 54 - 26 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*w - 7499, 0 = -15*w + 20*w + 5*c - 12540. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from azadodzq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = 2*g, -2*g - 6 = -g + 5*j. Suppose 0 = -5*l - g*d + 2*d + 179, -4*d + 99 = 3*l. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 >= 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1286 - -1275. Let y(k) = -3*k**3 - 3*k - 3. Let s(t) = -14*t**3 - 16*t - 16. Determine v*y(w) + 2*s(w).\nAnswer: 5*w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/275)\/((-18)\/99)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/1485*(-33)\/(-30)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -76, -317430.\nAnswer: -317430, -76, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-4 + 2)\/8). Suppose z*u - 26 = -2. Calculate the lowest common multiple of 10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.054 + 0.12. Let h = q + 1.826. What is the smallest value in h, -0.14, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzazkazkwkkk. What is prob of picking 2 k and 2 a?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*m = -7*k + 46, 4 = m. Solve 0 = 2*o - 0*o - k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/14058132 and -143\/12?\nAnswer: 14058132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 5*g + 49. Suppose 0*t = -5*t - 5, -3*m + 173 = -2*t. Suppose 32 + 3 = 3*o + d, 2*d = -5*o + m. What is the hundreds digit of n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.5 - -23. Put -0.09, v, 0.1 in decreasing order.\nAnswer: v, 0.1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11.39, 7, 3\/7, 25?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 7 + 19. Let s be (c\/(-8))\/(4\/(-16)). Let p(l) = 5*l**2 - 3. Let o(h) = 5*h**2 - 4. Let w(k) = s*o(k) - 4*p(k). Let j(t) = 2*t. Give w(j(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5315384 by -2.\nAnswer: -2657692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 4 - (28 + -86 + 13)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21326*s**5 - 2761715*s**4\/2 - 85879543*s**3\/4 + 114716581*s**2\/4 - 23229393*s\/4 + 1089\/4 = 0. Calculate s.\nAnswer: -33, 1\/21326, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 89528 divided by 11191\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14718 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + 7. Suppose -d*h + 42 + 4 = -2*c, -2*h - 5*c + 17 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:35 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*b**3 + 328 - 328)*(-26 - 18 - 24 + 10 + 7) to r*b + d*b**3 + k + q*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/8 - 259*o**2\/4 + 695*o\/8 - 87\/4.\nAnswer: -(o - 1)*(o + 174)*(3*o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230369 = -3291*a - 1353*a - 107630 - 186773 for a.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/15*255\/(-6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -1\/21*d**7 + 0*d**4 + 0*d**3 - 3*d**2 + 0*d + 7\/60*d**6 + 0 - 1\/15*d**5. Factor f(g).\nAnswer: -2*g**2*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4899994627?\nAnswer: 11, 445454057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14885 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4216480, -8432952, -12649422, -16865890?\nAnswer: -21082356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448315?\nAnswer: 5, 11, 17, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.48 + -28.48. What is the closest to 1 in t, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3067 = -4*m - 287. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-206 + 2*q + 206)*(-1 + 2 - 3)*(37 - 12*q - 37).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1044)\/(-21) - (-4)\/14. Let m be ((-26)\/(-4) - -1)*(-48)\/(-18). What is the greatest common divisor of o and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r - 24*r + 12 + 34. Let j be a(6). Solve v - 1 + j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 59\/30*d**6 - 7\/3*d**5 + 3 - 74\/105*d**7 - 5*d**2 + 1\/12*d**8 + 0*d**3 + 0*d + d**4. Let u(t) = 0. Calculate t.\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.95089kg in nanograms?\nAnswer: 49950890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*c**5 - 15333*c**4 - 3596946*c**3 + 166689594*c**2 - 435983391*c - 93893013 = 0. Calculate c.\nAnswer: -531, -1\/5, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-38)*(-1140)\/120.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*s - 4*y, -2*s - 3*y + 20 - 4 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -2262.\nAnswer: -226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/27261?\nAnswer: -4\/27261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 4:02 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10355210 divided by 609130?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 - h**5\/60 + h**4\/3 + 7*h**3\/6 - h**2 + 25*h. Is 6 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 9\/4)\/(5\/120). Let w be r\/10 + 4\/(-10). Suppose -6 = 4*m + w*u - 3*u, -10 = -5*m + u. Calculate the lowest common multiple of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 196840914.\nAnswer: 196840914.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 28*p**2 + 27*p + 52. What are the prime factors of k(-10)?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2175*q + 2171*q = 8. Let p(v) = 2*v**3 - 2*v - 1. Let s be (-2)\/1 + (5 - 2). Let l(k) = k**2 + k - 1. Let o(g) = s*l(g) + p(g). Calculate o(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2620 and 1310.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(-2) assuming d is positive.\nAnswer: d**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, 2571 in descending order.\nAnswer: 2571, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12199267*o**4 - 13*o**2 - 12*o + 695.\nAnswer: 292782408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 14*v**2 + v + 1. Give l(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 48*j**3 - 156*j**2 - 144*j.\nAnswer: -3*j*(j + 2)**2*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 - 53*c**2 + 28*c**2 - 106*c.\nAnswer: c**2 - 106*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 5*m + 8. Let k be u(-6). Let v be (k\/(-3))\/(1*-5). What is the nearest to -0.1 in 5, v, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.0763 to 1 decimal place.\nAnswer: -133.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k = -4*h + 53*k + 143, 5*h = 4*k + 172. Let j(z) = 81*z - 1. Let m be j(1). Calculate the highest common divisor of m and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x + x**4 - 3*x**3 + 16*x - 4*x**3 as c*x + q*x**2 + d + b*x**3 + v*x**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyyblyyv. Give prob of picking 1 r and 1 y.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 0.011.\nAnswer: -11.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 + (1033750\/(-725))\/(-25))*(6 + -1)?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099.41 rounded to the nearest 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y**2 - 11*y + 21. Let n be i(2). Let z = 260 + n. Calculate the remainder when z is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151676 + -151676.60000002. Let r = s + 0.6. Round r to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 36 = -6*w. Let f(l) = -4*l + 8. Let z be f(w). Suppose -2*h = -5*j - 6*h + z, -5*j = -5*h - 20. Is j smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(240) + sqrt(60)) + sqrt(960)*-1)\/(5*1*(-2*sqrt(84))\/sqrt(7)) + 3.\nAnswer: -11*sqrt(5)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, w: 5, b: 4, o: 1}. Give prob of sequence tobw.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 4 + 2 + o**2 - 5. Let a be g(-4). Let r = a + -21. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 98?\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2698 divided by -82.\nAnswer: -1349\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6 - (-23)\/(-69)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 22 - 9*t - 71 - 8.\nAnswer: -9*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 11. Determine l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 6*j - j = -10, 0 = -3*j - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 48 = 4*d, -d = r + 15. Let l(b) = -b**2 - 13*b. Let h be l(d). Solve h = 2*g + 2*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 83032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-25 - -31) + (-3 - -3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2034*i + 232*i - 75*i - 84465 = 0 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35854 + 35858. Let j(t) be the second derivative of 0 - 26*t - 95\/2*t**2 + 0*t**3 - 1\/12*t**s. Let i(f) = -f. Determine i(j(q)).\nAnswer: q**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 650 and 30.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677 is divided by 2298.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-3 + 0 - 1)*(-2627*u - 837*u**3 + 2627*u).\nAnswer: 3348*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 8 = 4*d, 3*d = 0. Let q(n) = n**2 + 8*n - 45. Let o be q(5). Solve -4*c = -a + o, x*a = c + c + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 2. Let y be q(-11). Let u be (-1*4)\/((-6)\/y). Let j(n) = 2*n + u*n - 5*n. Let f(t) = -t. Calculate f(j(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 10. Sort 0, 6, q, -2 in descending order.\nAnswer: 6, q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0147 + 71.3853. Let v = 71 - s. What is the second smallest value in v, 10, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(80) + sqrt(80) + 5.\nAnswer: 5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + v - 97 = 5*v, 3*l = 5*v - 36. What is the remainder when 86 is divided by (l\/51)\/(633\/(-315) - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let i(f) = f + 32416 - 32416. What is r(i(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4 - 2*j**2 + 5*j**4 - 2*j**4 - 3*j**2 wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -0*n + 420. Sort -1, n, 4 in descending order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-73)\/15 + 18\/(-135). Let a = 108 + -865\/8. Let i = a - -7\/24. Sort 0.4, i, p in decreasing order.\nAnswer: 0.4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1642 + -1669. Suppose 19 = 3*a + 76. Is s smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i + 4*a + 31, 0 = -5*i + 5*a + 200. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*c - 9 = 2*c, p - c = 3. Let s(o) = 54*o**2 - 6*o - 5. Does 4 divide s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-9)*-1)\/((-1)\/3). Let d be (-19 - -17) + -1 + -1. Let q = o - d. Which is the second biggest value? (a) 0.2 (b) 1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 115 = 2*v - 27, 0 = -4*y - 3*v + 68. Let s(q) = -4*q**2 + 80*q + 4. Let i be s(y). Solve i = 4*g - 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -580\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19948.681 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30.7 * 3\nAnswer: 92.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 + 0*d**2 + (2*d**2 + 2*d**2 - 2*d**2)*(13928 - 6988 - 7175))*(5*d + 4 - 4).\nAnswer: -2340*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2092 - 2094. What is the nearest to 1 in 0.2, -0.026, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.773*74.2.\nAnswer: 57.3566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -608 + 517. Which is the closest to 0? (a) 1\/5 (b) 1\/3 (c) s (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -9 - (31 + 0 + 3 + 4)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t - 47*t + 1290 = 16*t. Solve 23 = -11*x - t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 0*o + 1\/4*o**2 - 5 + 1\/18*o**3. Suppose w(d) = 0. What is d?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 27*w + 1. Let c be n(3). Let i = 58 + -37. What is the highest common divisor of i and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 138*h**2 - 9*h + 53. Determine t(69).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2374 divided by -220277\nAnswer: 2374\/220277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*t - 600 = 0, 0 = -4*j + 9*j - 2*t - 750. Suppose s + 12*i - 75 = 15*i, 0 = -2*s + 2*i + j. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 793.985 meters?\nAnswer: 793985000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581814 is divided by 18825.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -51. Suppose -z*r - 110 = -5*r. What is the tens digit of (-1 + 4)\/((-5)\/r*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(133)\/sqrt(7) + 1*sqrt(19)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1181572\/45 + -26256. Calculate the common denominator of u and ((-231)\/(-60) + -4)\/((-27)\/(-912)*-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9885888 is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3286*o**2 - 256*o + 20. Let r be x(-30). What is r rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 - -166. Let f = t - -7. Let w = f + -66. Which is greater: w or 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1203, -88, 764 in increasing order.\nAnswer: -88, 764, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/36 + 37*s**3\/3 + 7. Let d(r) be the third derivative of k(r). Let z(j) = 5*j - 5*j - 2*j. Determine d(z(g)).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/540 + 43*m**5\/270 + 83*m**4\/108 + 41*m**3\/27 - 17*m**2 + 2. Determine o, given that h(o) = 0.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171052.\nAnswer: 2, 7, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 9\/4, -1\/1094?\nAnswer: -1\/1094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12 = -0*u. Let q(k) = k**3 - k**2 - 2*k + 1. Let d be q(u). Solve d = -g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 563 + 5?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 171, 167, 163, 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3420650\/31 and 110345 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -15 - -6) + (-29 + 9 - -36) + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 192 + 192)*(2 - 12 - 6) + (x + x - 3*x)*((1 - 2 - 1)*(5 - 4 - 3) - 1 + 3 + 1) as m*x + j and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/(-4))\/7 + 3\/2. Let u be (g - (-2 - -4))*(1 - -2). Suppose -m - u*m = -152. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**7\/105 + g**4\/8 - 11*g**3\/6 + g. Let b(p) be the second derivative of i(p). What is the derivative of b(r) wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 - 5370.\nAnswer: -5188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 - 1101038*z + 22021560 = 0. What is z?\nAnswer: -550539, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-35) - 9\/(-5)) + 0. Let y(h) = 0*h**l + 2*h + 3*h**2 - 4*h**2 - 6*h. What is the least common multiple of 7 and y(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 0*t + 2*t - 6 - 9*t. Let k be r(-5). Let d(l) = -l**2 + 4*l - 1. What is d(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/12*1 + 1710\/(-1368).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d7283 + 3c8?\nAnswer: d765b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34190?\nAnswer: 2, 5, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3947, 10333, 20973, 35867?\nAnswer: 55015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Suppose -10 = n + 4*v + v, 2*n + 15 = -o*v. Let j = n - -12. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 45015.\nAnswer: 135045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + p**2 + (-3*p**2 - 3*p**2 + 2*p**2)*(-994 - 1038 + 649).\nAnswer: 5533*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2 (c) 0 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2 + 5500000*g - 14. Let a(b) = -b**3 - b**2 + b. Let x be a(0). Let z be y(x). Round z to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 13, 0.1, -8 in ascending order.\nAnswer: -8, 0.1, 4, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 1166*x - 2338. What is k(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 - -1 - (-3 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6058 - -6063. Let k = -0.4 - -0.4. Let d = 0.2 - 1.2. What is the closest to k in d, -2, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.017 + 0.078. Round w to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 71*h + 68*h + 33, -5*h = 2*s + 23 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-9)*(675\/(-54) - -12). Factor -1\/9*r**2 - 4\/9*r + z.\nAnswer: -(r - 1)*(r + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11848712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/9 + 55*y**2 - 6192*y + 202176 = 0.\nAnswer: 72, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 2:15 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 241*n - 97*n - 317808. What is the remainder when n is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 55 - 5. Solve 6 = 2*x + h, 0 = -o + 2*x - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15279 * 5\nAnswer: 76395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1\/31, -0.2, 2, 2\/27, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 4*z = 14, -2*z + 2 = -3*o. Suppose 2*d - 5 = -1. Suppose -68 = -o*p - d*p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 6. Let y(j) = 17*j + 10. Let m(s) = -5*c(s) - 3*y(s). Let o(l) = -l**2 - 5*l - 4. Determine -2*m(z) + o(z).\nAnswer: -z**2 - 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57*-0.12\nAnswer: 6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -694, -676, -640, -580?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8676160 greater than -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 149, 432, 869, 1484, 2301?\nAnswer: 3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (19 - (5 + -4)) - -5 - -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 460, 523, 352, -143, -1052?\nAnswer: -2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q. Let b be t(2). Suppose -g = 3, u - b = -g + 6. Suppose -n - 4*n + u = -3*d, 5*n - 38 = -2*d. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and -115.\nAnswer: -114.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*-6*(-1 - 4)\/50. Solve -d*n + 2 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 - -4.1. Let o = -9.3 - -17.1. Let r = o + h. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**2 - 6*s + 20. What is k(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3655 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5712, 5806, 5874, 5904, 5884, 5802, 5646?\n\"Answer: -2*s**3 - s**2 + 111*s + 5604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2 + 2)*4. Suppose -z = h + 8, 46 = -5*h + i*z + 6. What is h rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 1030. Let u(c) = c - 231. Let t(o) = -2*p(o) - 9*u(o). Let s(k) = 2*k + 3. Let q(h) = -h - 2. Let m(v) = -3*q(v) - 2*s(v). What is t(m(i))?\nAnswer: -i + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 9. Let n(i) = 39*i - 68. Let z(q) = 31*q - 54. Let j(r) = -11*n(r) + 14*z(r). Determine 3*b(u) - 2*j(u).\nAnswer: 2*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-185)\/74)\/((-4)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let l(s) = s + 5. Let c(r) = -3*a(r) - l(r). Let b(k) = k - 1. Suppose 2*z + 4*w + 158 - 176 = 0, -3*z + 2*w + 11 = 0. Give z*b(i) - c(i).\nAnswer: 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51463 is divided by 1118.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4474*n - 2253 with respect to n.\nAnswer: -4474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-90)\/(-4))\/(-8 + 1912\/240). Let m = -238 - t. Is 53 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 4, k: 7, h: 4, x: 1, r: 1}. Give prob of sequence xgf.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 7. Let y be ((-40)\/(-6))\/((-1)\/l). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -0.39, 5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 836737 + -480188. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15340777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 48*n**2 - 240*n - 31. Let q be s(5). Solve 17*c + 9 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:13 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2403066 and 7242.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 2}. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 139 = -3*a + t, -4*t = a - 55. Let x(q) = q**2 + q + 8*q + q - 16 - q. Calculate the remainder when a is divided by x(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t - 34. Let l be k(10). Suppose m - 11 = 24. Let s = l - m. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccccccbcbcc.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from ojefjoo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 - 107. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - -0.13. Let w = 323 - 323.01015. Let p = w + d. Round p to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10741 by 40.\nAnswer: 10741\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002083 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 451 + -191. Let v be 2\/((-1)\/k*-5). Suppose 2*m - 13 = 5*p + 8, 0 = 3*m - p - 38. Calculate the highest common divisor of m and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.89 * 6.\nAnswer: -23.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/22 - 5*m**3\/33 + 2*m**2\/11 - 13*m. Let w(s) = 0. Calculate s.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 3, h: 1, c: 5}. What is prob of sequence jhs?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 577, -1, 0.3, -0.2, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuvu when four letters picked without replacement from vuuuvvvvvvvvuvvuvv.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10022022 - 21?\nAnswer: 10022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - 2*sqrt(252)) + sqrt(252) + (sqrt(7623) - (sqrt(7623) + sqrt(7623)*2)))\/(-2*sqrt(9)*2*-1*5).\nAnswer: -11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025033462 is divided by 2782.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/144 and -61\/168.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -763 + -3153?\nAnswer: -38b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.1644945 to 2 dps.\nAnswer: 287.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-27)\/2) - 9849\/(-27). Let r be (-92)\/(-6)*(-9)\/(-3). Let c = m - r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**3 + 6*a. Let p = -8420 - -8426. Let b(y) = -8*y**3 - 5*y. What is p*b(d) + 5*h(d)?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from eccececccec.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-64)*2*2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 take away -0.9?\nAnswer: 266.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27307 + 27312. Solve 6055 - 6065 = a*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/6*-2 - 2. Suppose -11 = -o*a - 2. Let b(k) = -9*k - 1. Let q be b(-1). What is the highest common divisor of a and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.02 (c) 2\/9 (d) -3\/1165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3\/5 + 108*y**2\/5 - 201*y + 180 = 0 for y.\nAnswer: 1, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 324*p**2 - 209*p + 1517. What are the prime factors of h(7)?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 + 25140*d + 201328. Determine o(-8).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 + z - 12. What is n(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31656620*o**6 + 12471343*o**2 - 2*o wrt o.\nAnswer: 3798794400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 26430640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2787, 0, 1, -208.\nAnswer: -2787, -208, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 take away 202.53241152?\nAnswer: -202.46741152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0235 - -164.0235. Which is the third biggest value? (a) 2\/17 (b) 0 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 34*k - 2*z = -4, 5*k + z = -12. What is the smallest value in 1\/6, k, 125?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Let v = -20 + 41. Suppose -m*r + v = -r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, 5, 3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 1367 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.455 rounded to two decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 3156340?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*r - r - 1671779. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8067362*k**2 - 10146284 wrt k?\nAnswer: 16134724*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -132*q + 22. Let z(h) = -23 - 3*h + 49 - 26. Let o(i) = -u(i) + 33*z(i). Find the first derivative of o(r) wrt r.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/16 and 7\/17354.\nAnswer: 138832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*f**3*y**2 - 304142*c*f**2*y + f**3*y - 173479*f*y**2 wrt y?\nAnswer: 6*c*f**3 - 346958*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -15*m + 5\/3*m**3 - 6 + 5*m**2. Factor u(q).\nAnswer: 5*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -1.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001200022 - 120011?\nAnswer: -1002020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 1, s: 3, n: 1, r: 1}. What is prob of sequence ssro?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18371, 73652, 165781, 294758, 460583, 663256, 902777?\n\"Answer: 18424*t**2 + 9*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 24042.52 hours?\nAnswer: 86553072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + (4 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 - -283.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + 26*m**2 + 3*m - 13. Let v(o) = -2*o**3 - 9*o**2 - o + 4. Let c(a) = -3*t(a) - 8*v(a). Let q = -2 - -8. What is c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-96)\/(-80))\/((-3)\/(-10)). Solve 2*m - 4 = 2*a - 0*a, a = d*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from gwgwegwaeggiwew.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 - 79. Suppose 11*r = u*r - 60. Calculate the remainder when 44 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381096 (base 11) to base 8\nAnswer: -2227165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*z + o - 3 = 371*z - 6, 5*o + 7 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15513397667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -137?\nAnswer: -9\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*f - 55*f + 175*f - 47*f - 45*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -307.92?\nAnswer: -307.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36157 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46303414877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4170, -8991, -13818, -18657, -23514?\n\"Answer: -a**3 + 3*a**2 - 4823*a + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**4 - 2*m**3 + 4*m**3 + 2*m**2 - 12*m + 14*m + 2*m to v*m**3 + k + z*m**4 + i*m**2 + y*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26817986 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23040461 - b**3 + 23040461.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 7. Let t be l(0). What is the second derivative of -t*m - 9*m**2 + 8*m**2 + 0*m**2 wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 9*h + 4. Let f(z) = 2*z**2 + 3*z + 1. What is -7*f(t) + 2*x(t)?\nAnswer: -2*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 11 (b) 2 (c) 43 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 46 - 134 = 0. Let w(o) = o**2 - o - 1. Let i(g) be the first derivative of g**4\/4 + 5*g**3\/3 - 5*g**2\/2 - 5*g + 2. What is p*w(v) + 3*i(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10\/3)*(l*l\/(l\/((l\/l**(1\/29))\/l)))\/l*l**(-29)*((((l**(-39)*l)\/l)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(-6470\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1710146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 4, 86, 18.\nAnswer: -84, 4, 18, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/86190 and -107\/491640?\nAnswer: 83087160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*f**3 - 2*f + 631*f**3 - 122*f**3 - 114*f**3 - 138*f**3 + 2*f.\nAnswer: 75*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0 in ascending order.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2 + 4*d - 2. Suppose 0 = 4*u + 3*i + 26, 0 = 3*u + 5*i - 6*i + 13. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (41\/7 - 6) + 400\/7 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -21*u + 20. Let s = 50 - 54. Is 31 a factor of t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 17636729?\nAnswer: 4\/17636729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -71. Let y(b) = -b**2 + 4*b - 8. Let x be y(8). Let j = x + d. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398 + 290 = 12*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 10*t + 13. What is a(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11875, -11848, -11821, -11794, -11767, -11740?\n\"Answer: 27*o - 11902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*f + 452*f**4 + 558*f**4 - 230*f**4 + 1 wrt f?\nAnswer: 9360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3039447, 3039445, 3039443, 3039441?\n\"Answer: -2*p + 3039449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -9. Suppose -2*f = -n*f + 215. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252058 is divided by 4843?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let t(d) = 2*d**2 + 3*d - 1. Let i be t(y). Suppose 4*c = -3*r - c - i, r + 4 = -2*c. Solve 0*g + r*g = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 42698 = 2*q, 3043 - 37203 = 4*w - 2*q. Is (6\/4)\/((-9)\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -1\/829, 4\/3, 12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1121*t**4 + 2850.\nAnswer: 4484*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 - 27*w - 15. Let k be c(16). Suppose 17*m - k = -119. What is the least common multiple of 30 and m?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-554192)\/(-136752) - 4*1. Let j = c - 2\/407. Let b = 150719\/18 + -8376. Calculate the common denominator of b and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 149*q**2. Let m(g) = 4*g**2. What is m(k(n))?\nAnswer: 88804*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -43. Suppose b - 3 = 3*d + d, -9 = -3*b + d. Suppose b*c - 26 - 1 = 0. Calculate the highest common divisor of c and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {v: 1, i: 9, a: 4, c: 1, t: 5}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 227?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2180748 (base 9) to base 12.\nAnswer: 487bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/1504085 and -107\/7053640.\nAnswer: 204555560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i**2 - 16*i + 6. Let c(u) = -9*u**2 - 15*u + 5. Calculate -5*c(d) + 4*z(d).\nAnswer: 5*d**2 + 11*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 4:24 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = h. Let d be 36\/30*(0 + h). Suppose 10*t - d*t = 4. What is the nearest to t in -0.2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*i, i - 7 = -2*m - 1. Sort -23, m, 35, 0 in descending order.\nAnswer: 35, m, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*d + 3)*(-2*d**3 - d**3 + 2*d**3) - 6 + 3*d**4 + 6 + 80*d**4 - 17*d**4 + 78*d**4.\nAnswer: 147*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 6 - (1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j = 117*j - 145*j + 322. Suppose 44\/5*u - 24\/5 - 16\/5*u**j - 4\/5*u**3 = 0. Calculate u.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2. Let u = 3192 - 3190. What is the biggest value in y, -5, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 124144105?\nAnswer: -124144101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u + 14*u + 9*u - 5 + 883*u**4 - 20*u wrt u.\nAnswer: 10596*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226538 and 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (2 + sqrt(1900)*-2 + sqrt(1900))**2.\nAnswer: -40*sqrt(19) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2187403.8 months to years.\nAnswer: 182283.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175\/1587 or 0.1?\nAnswer: -175\/1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*a + 196, -120 = -0*a + 3*a - 3*b. Let w be (-7)\/224*-4*-306. Which is bigger: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14950*x**3 - x**2 - 2 - 6*x + 2 + 14941*x**3 + 2 + 0*x in the form s + q*x + n*x**3 + i*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:38 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d)**(-3\/2)\/(d**1*d)**(-16))**14 assuming d is positive.\nAnswer: d**385","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Suppose i*y + 11 = 50. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 360133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 16*y = 0. Let j be (y - 0) + 2*68\/8. Find the third derivative of -17*l**2 - j*l**3 - 12*l**3 + 29*l**3 + 19*l**4 wrt l.\nAnswer: 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 591281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13999 + 1)*(-1320)\/22. What is t rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from qqmemmqqqqqqqqq.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8159.\nAnswer: 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 4*j - 20. Let w(u) = 3*u**2 + 3*u + 19. Let t(a) = -2*h(a) - 3*w(a). Suppose 5 = -o - 5*n, 13*o + 5 = 15*o - 5*n. Give t(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**11*m)\/(m**(-1)*m) assuming m is positive.\nAnswer: m**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b6 (base 13) in base 16?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4105*h**2 - 17*h**2 - 3563*h**2 + 5049*h**2 + 5488*h**2 to the form i*h**2 + y + n*h and give i.\nAnswer: 11062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -75 - 65. Suppose u*r + 165 = 31*r. Suppose -12*i + 13*i = 5*j + 19, 0 = 4*j + 5*i + 21. Put j, 5, r in increasing order.\nAnswer: j, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73\/27 - -1\/27. Let z = 62\/21 + r. Let b = -0.042 + -0.958. What is the closest to z in -5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 5*t - 8 + 11*t + 27*t.\nAnswer: 43*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 13*k + 2. Let f be i(6). Is 48 a factor of (-3352)\/(-20) + f\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1365 and 66430?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -221, -227, -237, -251, -269, -291, -317?\n\"Answer: -2*i**2 - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**5 + 2*s**4 + s**3 - 4*s**2 - 2*s + 2. Let w(q) = 2*q**5 + 2*q**4 - 4*q**2 - 2*q + 2. Let u(p) = 4*r(p) - 3*w(p). Factor u(k).\nAnswer: -2*(k - 1)**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 5*o + 2*o)*(-3*o**2 - 4 + 4)*(0*o + 4*o + 7*o) as s*o**2 + j*o**4 + q*o**3 + p + g*o and give j.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2868 - 61.68649?\nAnswer: -2929.68649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/11232 and -103\/10.\nAnswer: 56160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = -2*y. Does 15 divide (-5)\/(-5)*15\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.51794 years to millennia.\nAnswer: 0.01451794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6) + -2)*36. Let a be (-1)\/(-2) + (-99)\/b. Suppose a*v = v. Solve v*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 6*o**2 + o - 2*o**2)*(-6*o + 0*o + 5 - 3).\nAnswer: -12*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*m**2 + 42*m**2 - 8*m + 8*m - 37*m**2 + (-191 - 266 + 1441)*(1 - 1 - 2*m**2) to a*m + t + y*m**2 and give y.\nAnswer: -1896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**7\/210 - s**5\/60 + 9*s**2. What is l in t(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 216*x - 753. Determine g(0).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*k + 42*k - 18*k)*(3*k**3 - k - k + 27*k**3) to v*k**4 + h + p*k**3 + a*k + d*k**2 and give d.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4\/3 - 596*a**3\/3 - 2435*a**2\/3 - 662*a - 153 = 0.\nAnswer: -3, -1\/2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.4 (c) 2\/3 (d) -4 (e) -0.778\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5670*h + 29 = 5667*h, -8*h - 77 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 42*l - 14. Let p be b(3). Let c = 142 - p. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000198926718 rounded to 6 dps?\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-4))\/z)\/z)\/(z\/(z*(z**(-2)\/z)\/z*z)))\/((z\/(z\/z**(-1\/7)*z))\/z*z**(-3)*z) assuming z is positive.\nAnswer: z**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -786\/11, 0.5, -0.2, 1.\nAnswer: -786\/11, -0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*k - 2*k + 9 = 0, -3*m - k - 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110001100011000100 (base 2) to base 4.\nAnswer: -120301203010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 598, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9 = 2*u. Let j = u + -3. Let r(b) = -b**2 - 9*b - 6. Let y be r(j). What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 457226824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 9\/28, -4.9, -1\/5?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*v + 3442679 = -8276473. Does 136 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87105470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83 or -84?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 73392*i + 336649104.\nAnswer: 4*(i + 9174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/2 + -3)*-3. Let x = -5 - -2. Sort u, x, -0.5 in descending order.\nAnswer: u, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -256 and -0.4.\nAnswer: 102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9887, -2 in ascending order.\nAnswer: -2, -1, 9887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-3\/7)\/p)\/p*p)\/(p\/p**(-1\/6)))\/(p*p**3*p*(p\/((p\/(((p*p**(-2))\/p)\/p)*p)\/p))\/p) assuming p is positive.\nAnswer: p**(-109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 - 1 = 0. Let i be (-2)\/d + (-10)\/(-3). Suppose 2*t + i*g + 0*g - 121 = 0, 5*t + 3*g = 280. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100264231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -24. Let n be -1 + 0 + 2 + z. What is the remainder when n\/((-1*2)\/2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4020912 divided by -7978.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -300.49 from -169.\nAnswer: 131.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 12*h**2 + 7*h**2 + 1. Let n(m) = -6*m**2 + 3*m - 2. What is -4*l(s) - n(s)?\nAnswer: 2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 468*h**2. Let j(f) = 2*f**2 + 8*f - 440. What is j(c(o))?\nAnswer: 438048*o**4 + 3744*o**2 - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*r + 2*r - r)*(2 - 1 + 2)*(-r - 3*r + 2*r).\nAnswer: 12*r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -89, -88, -87?\n\"Answer: j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11623\/9 + -1289. Let h = 467\/8 - 52. What is the common denominator of h and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 + 849*s + 275594. Calculate m(476).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21216 is divided by 4917.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/210 - 4513*a**6\/120 + 1147*a**3\/3 - 8*a**2 - 257. What is the first derivative of c(h) wrt h?\nAnswer: -4*h**3 - 13539*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141368.\nAnswer: 2, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 40*b + 3)*((5 + 0 - 3)*(-5*b - 2*b + 4*b) + 11*b - 26*b + 39*b) to the form q*b**2 + r*b + f and give q.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -101\nAnswer: -50.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 29 + 31 + 40 + -57\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*v - 30 = -20, 3*v + 3 = 0. Is 11 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045998387 to five dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 224*i**2 - 13*i - 12. Let z(d) = 225*d**2 - 11*d - 10. Determine -5*p(m) + 6*z(m).\nAnswer: 230*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41589390.\nAnswer: 2, 3, 5, 1386313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 7*c - 3*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose -138 = -4*m - j*a, m - 3*m + 54 = -4*a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2005048.157 from 1.\nAnswer: -2005047.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*y - 16*y + 33320 = -311*y for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87181673\/305 + -285842. Let x = r - -3\/61. Sort -0.5, 9, x in descending order.\nAnswer: 9, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111000001000010110011 (base 2) to base 9\nAnswer: -3413017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 933, 2132, 3799, 5928?\nAnswer: 8513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21*y + 1. Suppose -6 = -16*q + 10*q. Calculate n(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 - 46 = 17*s - 97 + 96 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 334 - 341 - (4 + -15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 1\/2 (c) 0.013 (d) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32453 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*s - 120, -4*u - 32 = 3*s + 127. Let t = u + -48. Does 33 divide t\/(-12)*48\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-252579987)\/(-1) + (-143)\/(-11). What is j rounded to the nearest 1000000?\nAnswer: 253000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 1\/4 (c) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccnccncc. What is prob of picking 3 n and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3293309 to the nearest integer?\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -6, -8, -22, -54, -110, -196?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**3 + 6*w**2 + 6*w - 7. Let o(f) = 8*f**3 - 7*f**2 - 7*f + 8. Let l(y) = -6*o(y) - 7*p(y). What is the derivative of l(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1098, 14 in ascending order.\nAnswer: -2, 14, 1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 0.2 (c) -1\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00144848799 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 90*z - 88*z. Let u be 86\/(-4)*(-3 - (z - 2)). Is 44 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 56. Let z be (-1)\/((-2)\/(-3)*(-4)\/j). Find the common denominator of (-13)\/(-29) - z\/(6\/(-4)) and 42\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-8)*(-57)\/4. Let j be r\/(-21) - 4\/(-14). Suppose -y + g - 1 = 0, 2*g - j*g = -4. Solve 12 = 5*o + y*q, -9 + 25 = -3*o + 4*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/185 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -5\/4, 1\/88, -6, -0.2.\nAnswer: -6, -5, -5\/4, -0.2, 1\/88, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/507 and -143\/366.\nAnswer: 61854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -485.2 + 556. Let m = p - 71. What is the nearest to 0 in m, 2\/7, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 78. Let r(q) = 9*q + 10 + z - 5. Is r(15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10523003 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 - -2) - (2 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 482?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818 = -9*v + 289. Suppose -a + v = -2*l - 56, -l - 4 = 0. What is the remainder when a is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82)\/328)\/(10\/8 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101110010001111 - -101?\nAnswer: 11101110010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9 - 3) + (-147 + 170 - (40 + -1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/3 + 20*g**3\/3 + 50*g**2 + 7*g. Factor v(b).\nAnswer: 4*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3587 - -3589. Let t = -4 - -4. Suppose 0 = 3*j + 2*q + 2, t*j = 2*j - 2*q - 2. Solve j = -5*m + 3*h - 3 - s, 3*m = -2*h - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.179 rounded to 2 decimal places?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*g - 3*q, -15*g + 6*q + 77 = -10*g. Let n = 305 - 214. What is the remainder when n is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let i(l) = -l**2 + 13*l + 39. Let x(r) = 6*a(r) - i(r). Let g be x(11). Solve 0 = h - g*h - c, 4*h + 8 = c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 - 2456*c**3 + 7392*c**2 - 7400*c + 2468 = 0. What is c?\nAnswer: -617, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 29*r + 44. What is the smallest common multiple of s(28) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553.6976 hours to milliseconds.\nAnswer: 1993311360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from garshfgsshgss. What is prob of sequence sgf?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 6)*-6 + 147. Suppose j*i - 11220 = 126*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 96 (b) 1 (c) 19 (d) 0.6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*x - 3*x**2 + 4*x**2 + 0*x**2 as v*x + m*x**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/1339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4598541717.\nAnswer: 3, 7, 11, 67, 27011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 1, g: 4, y: 2, m: 2, x: 1}. Give prob of picking 1 g and 1 p.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 31*l - 35*l + 28, -8 = -t - 2*l. What is the third derivative of 6*a**4 - 6*a**5 - 10*a**4 - 3*a**6 + t*a**4 + 250*a**2 wrt a?\nAnswer: -360*a**3 - 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1839, -4, 3803, -2 in descending order.\nAnswer: 3803, -2, -4, -1839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 4*q + 2. Let d be v(-2). Let o(p) = p - 2. Let j be o(d). Suppose 14 - 106 = -j*m. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-342)\/(26 + 321\/(-12)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Suppose 3*s - b - 4 - 13 = p, 29 = 3*s + 2*b. Let n(y) = y**2 + 8*y - 6. Let o be n(-10). What is the highest common factor of o and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2922178.\nAnswer: 11688712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4)**36*(c**(-1))**(2\/49) assuming c is positive.\nAnswer: c**(7054\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 8. Let f(s) = -4*s**3 - 4*s - 4. Let r be f(d). Suppose 2*u - 80 = 4*l, 4*u + 2*l = r + 44. What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, -2.4, 0.1, 5, 0.5?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/o**(-3\/37))\/o))**(-1\/14)\/(o**(-36)\/(o\/o**(-2\/47))) assuming o is positive.\nAnswer: o**(450120\/12173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uaadyudyayra.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -65*j**4\/2 + 91*j**3\/6 + 91*j**2\/2 + 3*j + 49. Let g(o) = 17*o**2 - 4*o - 4. Determine -91*g(q) - 4*m(q).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 32. Determine h(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 3, k = -u - 11. Let v = 2 + u. Let g = v + 17. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 17*l - 6. Let r(v) = -6*v + 2. Let s(y) = 7*r(y) + 2*z(y). Suppose 25 = -5*g + 5*h, -5*h + 26 = -2*g + 4. What are the prime factors of s(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (7 - 8) - -16) + (4 - -10 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*(-858)\/(-18). Suppose -3 = 2*o - q. What is the remainder when o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-198) - 122\/(-12))*(-21 - -31).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddii when four letters picked without replacement from {i: 7, d: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 + 333342*l**2 - 333342*l**2 + 2*l**3 in the form i*l**3 + x + u*l + d*l**2 and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/10)*c*c*c*c**(-3)*c*c)**35\/((c\/c**1)**(-1\/8)\/(c**(-1\/2))**(-5\/13)) assuming c is positive.\nAnswer: c**(1413\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 85*p**3 + 13*p**2 + 20*p - 1145. Let v(x) = -41*x**3 - 6*x**2 - 9*x + 573. Let l(r) = -6*t(r) - 13*v(r). What is the derivative of l(b) wrt b?\nAnswer: 69*b**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/559? (a) 6644\/5 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w - 13*w + 20 + 6*w. Let i(a) = a - 21. Let j(q) = 3*h(q) + 2*i(q). Find the first derivative of j(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -40. Let m(c) = 5*c**2 - 1. Let t be m(-1). Suppose 3*b - t - 7 = 5*j, -3*b = -2*j - 8. Calculate the smallest common multiple of s and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.384998 litres to millilitres.\nAnswer: 3384.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)*c\/(c**(-4\/11)*c*c))\/(c**18\/(c\/((c\/(c*c**(-22)*c))\/c))) assuming c is positive.\nAnswer: c**(-568\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -774*y + 147. Does 13 divide b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 359364775.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -57?\nAnswer: 37\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 3)*3\/2. Suppose -3*q = -4*a + 14 - 79, 4*q = -2*a + 72. Solve -5*z = 2*t - 2*z - q, n*t + 5*z = 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 36530?\nAnswer: 255710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41\/(3690\/(-3564))*-15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + i + 25 - 6, -5*a + 49 = -4*i. Let u(g) = -18642*g**2 + g - 7. Let h be u(a). What is h rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + r + 10 = 0, 6 = 3*v - 2*r - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 15 = 5*v. Suppose j - 238 = -2*h - 4*j, -4*h + v*j = -424. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**5 + 555945*m**4 + 25751510976*m**3 - 437891885868*m**2 + 2060841429696*m - 1648701610752 = 0.\nAnswer: -92666, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -97. Let c(g) = g**2 + 3*g - 5. Let v be c(-5). Suppose -v*d + 3*r + 7 + 13 = 0, -3*d + 5*r = -x. Solve -2*o - a + 3*a = d, 4*a = -3*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 + 96522681*o\/2 - 3105542649142587\/4.\nAnswer: -3*(o - 32174227)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30075276139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 + 4*p**3\/3 - p**2\/2 + 21*p - 47. Let a be m(-5). Which is greater: 7.83 or a?\nAnswer: 7.83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6*1 - -3) + 445. Suppose -j - j = n. Let p = -120 - j. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2187 (base 14) to base 5\nAnswer: 141203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1344339 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**4 + 479*b - 2763. Let a(q) = -2*q**4 - q + 1. Let r(p) = -a(p) - l(p). Differentiate r(t) with respect to t.\nAnswer: -4*t**3 - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12035025 (base 7) to base 3\nAnswer: 2000020201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**3*x*z**2 + 12*v**3*x*z + v*x*z + 2*v*x + v*z**2 - 2*x wrt v.\nAnswer: -30*v*x*z**2 + 72*v*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 4*t**3 - 9*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*b**2 + 778*b**2 - 2450*b**2 + 837*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-4) - 122\/8*-1. Solve -217 = a*c - 175 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 10 (c) 0.037 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 7\/3*s**3 + 5*s - 5\/2*s**2 - 1. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 + 2*u**4\/3 - 2*u**3 - 13*u**2\/2 + 114*u. Give g(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + 3*w**5 - w**5 + (3*w**2 - 3*w**2 - 3*w**4)*(w - 2*w + 4*w) + w**5 - 3*w**5 + 0*w**5.\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 210231 = 35*t. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24744.9 and 1673.\nAnswer: 26417.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3721 + 2817*t**2 + 122*t - 5626*t**2 + 2808*t**2 = 0.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.5, 12, 3, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - -10 - (0 - 4 - (-25 + 22))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1024\/15 - -1687\/24. What is the common denominator of -9\/16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**3*o*z - 4*c**3*o - c**3*z - 684*c**3 + 2*c**2*o*z + 10*c**2*o + 33*c*z - 3*o*z + 2*o wrt c.\nAnswer: -30*o*z - 24*o - 6*z - 4104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11316223 - -13?\nAnswer: 11316236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52233.\nAnswer: 3, 23, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2423206\/9 - 269244. Factor 2\/9*c**3 + m*c + 0 - 4\/3*c**2.\nAnswer: 2*c*(c - 5)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2945*m - 1487*m - 1461*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 13. Let w be y + -1 + 3 + 3. Let k(b) = -9*b**3 + 0 + 10*b**3 - w + 3*b**2. Calculate k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d + 9*d + 2*d**3 + 13*d**3 - 10*d**3 wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47454508.8 to the nearest ten thousand.\nAnswer: -47450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 - 12*r + 6. Determine a(7).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (0 - -28 - -4) - (79 - -1)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - n + 1. Let o be g(-1). Let f = 13\/15 + -6\/5. Which is the closest to f? (a) 4\/9 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -181*z**2 + 450*z - 64. Determine j(5).\nAnswer: -2339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**10 assuming h is positive.\nAnswer: h**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.837 + -4.8369981063. What is d rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(-70) + 1\/2. Suppose -2*n = -4*p - 2, -n + 4*p - p = 0. Let u = -2 + 4. Which is the second smallest value? (a) f (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96172 + 112742 + 90451 = 8359*c - 168739 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -50.\nAnswer: -16\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 - (3 + -2)). Suppose 0 = -w*l - 2*l + 45. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44175100 is divided by 681?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -107091577254\nAnswer: -107091577253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a**7 - 11\/336*a**8 - 1\/15*a**5 + 10*a**2 + 0*a**6 + 0 + 0*a**3 + 0*a**4 + 0*a. Find the third derivative of v(y) wrt y.\nAnswer: -660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000507162 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-168) + (-1760)\/(-42). What is the remainder when (312\/i)\/((-4)\/(-14)) is divided by -1*1*27\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 3. Calculate m(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 762, -283, -2062, -4605, -7942?\n\"Answer: -5*d**3 - 337*d**2 + d + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/14)\/(2\/14). Let t = -13 - l. Suppose -t*k = -3*k - 8. Do 0.1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) -12 (b) -3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*z, h + 5 = 3*z - 1. Suppose -4*o + 51 = -o + h*u, -2*u + 4 = 0. Calculate the highest common divisor of o and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1073 by 7294.\nAnswer: -1073\/7294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -233005?\nAnswer: -233004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2482 and 2686.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*l + 15. Let d = l - 11. Suppose -2*o + 55 = d*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 90, -171 in increasing order.\nAnswer: -171, 0, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azayyeayyyk. Give prob of sequence akaz.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 149983.5 * 3\nAnswer: 449950.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 52210261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -33, -64, -115, -192, -301, -448, -639?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 1, a: 3, q: 7, i: 1}. What is prob of sequence qbpa?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21652679011 + -11504\nAnswer: 21652667507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 16 = -9*l. Suppose 39 = m + l. What is the remainder when m is divided by 2 + 0\/1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72767 + 3460. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 28. Let u(j) = 8*j - 7. Let s(t) = -9*t + 8. Give r*s(q) - 7*u(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5899164 and 28.\nAnswer: 41294148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.99578 grams to nanograms.\nAnswer: 95995780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 88403 in decreasing order.\nAnswer: 88403, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m + 25. Let x be k(6). What is the least common multiple of 76 and (23 + 3 - x) + (-50)\/10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*d = -125, 5*p + 3*d - 191 = 4*d. Let q(y) = -28*y - 4. What is the least common multiple of q(-4) and p?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 9*n\/2 + 18.\nAnswer: -(n - 3)*(n + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 43*v**2 - 2*v - 1. Calculate the remainder when k(-1) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtpxmmpmpmtvvvvvpk. What is prob of picking 2 t and 1 v?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*x - 26, -2*s + 4*x + 9 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*t**2 - 100*t**4 - 22*t**4 - 43*t**4 - 16*t**2 - 5*t**2 wrt t.\nAnswer: -3960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c - 4*t, 0*t + t - 2 = -5*c. Let b(x) = -x. Let v(p) = 8*p**2 + 4*p + 2. Determine c*v(z) + 6*b(z).\nAnswer: 8*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 9. Let l(b) = -b**3 + 16*b**2 + 33*b + 46. Let c be l(18). Determine h(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25729*g**3 + 3*g**2 + 7*g + 415 wrt g.\nAnswer: 154374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 13*n**2 - 8*n + 8*n)*(2*n**2 - 2*n**2 - 2*n**2).\nAnswer: -4*n**5 - 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 492\/(-42) + 3 - (-17 + (-5 - -13)). Let y = 1 + -1. Which is the nearest to -3? (a) l (b) y (c) 1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:22 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327311541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 40.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22677 + 0.4.\nAnswer: -22676.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.071, 0.2, 4\/5, -3\/4 in descending order.\nAnswer: 4\/5, 1\/2, 0.2, 0.071, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(2\/23)\/r)\/r*r)\/r)\/r**(-5))\/(r**(2\/7))**36 assuming r is positive.\nAnswer: r**(-998\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-16) - 12\/64*-2. Suppose -3*v = -5*m - 23 - 3, -2*v + 5*m + 24 = z. Solve v*q + 2*g = -3*q + 16, 3*g + 14 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.966423 milligrams in grams?\nAnswer: 0.000966423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3*s**2 - 25*s**2)*(71*s - 115*s - 4*s**3 + 3*s**3).\nAnswer: 26*s**5 + 1144*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + 14. Let u = -698\/5 + m. What is the third smallest value in -2\/21, u, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 76760, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*w - 5*u - 1, 0 = -w + 4*u - 6. Let k(x) = -2*x + 9*x - 2*x + w*x. Let f(s) = s. Calculate k(f(g)).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 1. Let d be (-23)\/92*(0 + -12). Let k(q) = 4 - 28*q + 1 + 4*q - 1. Give d*k(a) + 14*h(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17392577 rounded to 5 dps?\nAnswer: 0.17393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 - p + 9. Let r be k(7). Let x be 150\/35 + r\/(-7). Let s(g) = -g**2 + 3. Let u be s(0). Solve u*o = -l - o + 19, -20 = -x*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**3 - 35 + 35.\nAnswer: -26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/660*3\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -32. Let y be 4 + 1 - (g - -4). Is (-35317)\/(-7) - y\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702552 - 46792 + 36*y - 2*y**2 - 36*y.\nAnswer: -2*y**2 + 655760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 16. Let l = w - 8. Factor f**4 + f - 3*f + l*f**2 - 23*f**3 + 19*f**3.\nAnswer: f*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 171?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 1397882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1470\/23 - 40815\/644. Calculate the common denominator of 37\/136 and f.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiirikrrririrkrk. What is prob of picking 2 r and 1 k?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7785072*t**3*x**2 - 2*t**2*x**2 - 4*t*x**2 - 3*t*x + 164*t + 2*x**2 wrt t?\nAnswer: 46710432*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3765, -3724, -3683, -3642, -3601?\n\"Answer: 41*u - 3806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -52. Suppose 9*f = 7*f + g. Let h(i) = -i**3 - 13*i**2 - 8*i - 48. Let b be h(-13). What is the highest common factor of b and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01498426793 rounded to five decimal places?\nAnswer: 0.01498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + (-7)\/(-4). Let d be (-1 - g)*1*-1. Factor -2*i**2 + d*i**3 + 4*i + 2*i**2 + 8*i**2.\nAnswer: i*(i + 2)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 557*l - 651. Is r(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1688*x - 1526?\nAnswer: -1688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75, -140, -205, -270, -335?\n\"Answer: -65*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.993126g?\nAnswer: 7993126000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dvdkn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -4, -1\/6, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 - 15937339556.\nAnswer: -15937339796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/112760?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-14))\/(12\/(-20))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (-3 - -3 - -3) + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47450512*k**3 + 51527485*k.\nAnswer: 284703072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 bigger than -318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-806)\/39 - -17)*(-34 + -1 - -2). Which is bigger: b or 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6574, 51, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.4 - 13.1. Put -3, f, 4\/11, 2\/11 in increasing order.\nAnswer: -3, 2\/11, f, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 1398. Is (6 + -4)*y\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -625, -624, -623, -622?\n\"Answer: s - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/60 and 41\/162?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgqg. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2\/2 - 2*w + 1. Let d be z(-4). Let j be d\/9*6\/(-2). What is the closest to 0 in -0.1, j, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = -5*k - 3*a, 15*k - 4*a = 11*k + 432. Solve -24*n - 7 - k = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 571*q**2 + 9*q + 16. Let x be l(-2). Suppose x - 2276 = 2*y. Solve -4*f - 6 = j, -5*j - 2*f + y + 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12639, 12638, 12637, 12636, 12635, 12634?\n\"Answer: -o + 12640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**2*x**4 - 171*i**2*x**3 - i**2 + 44*i*x**2 + 3*x**4 + 31 wrt x.\nAnswer: -120*i**2*x - 1026*i**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 0.03\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 370*r**3 - 1960*r**2 - 1230*r + 3555.\nAnswer: 5*(r - 79)*(r - 1)*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 5939?\nAnswer: -36\/5939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n**3 - 3*n**2 + 3*n + 1109. Let i(z) = -3*z**3 + z**2 - z - 1. What is -3*i(j) - k(j)?\nAnswer: -4*j**3 - 1106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -103a?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, 3325, 11306, 26899, 52654, 91121?\nAnswer: 144850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - (-2)\/8. Let h = 0.3 + -2.3. Let x be ((-9)\/(-15))\/((-3)\/(-1)). What is the nearest to h in j, -2\/11, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3002 - 486*s**5 - 2977 - 426*s**5 - 18*s**2 wrt s.\nAnswer: -54720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43\/5 in 0.5, -270, 1.305, 0?\nAnswer: 1.305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/2 - 67728*u**3 - 948306*u**2 + 2167520*u = 0.\nAnswer: -16, 0, 2, 135470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4311?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g + 3. Suppose 2*h - 4*b - 4 = 0, -2 = h + 4*b - 4. Let l be o(h). Factor -l + 10*a**4 + 5 + 10*a**3 - 4*a**4 - 4*a**2.\nAnswer: 2*a**2*(a + 2)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99305 or 99306?\nAnswer: 99306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/72? (a) -10 (b) 16 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 50. Let d be k(-14). Suppose -2*j = d*j - 50. Solve -t + j*t = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-322)*14)\/((-6)\/8*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 367328198 or 367328197?\nAnswer: 367328197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -4 - (sqrt(6)\/sqrt(2) + -4).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-24)\/(-16)*(6\/(-279))\/((-31)\/(-31)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose 10 + o = 3*c. Solve -c = 5*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 2*s**5 + 0*s**5 + (2*s**3 + 0*s**3 + 0*s**3)*(-s**2 - 3*s**2 + 5*s**2) + (-111*s**4 + 2*s**4 + 220*s**4)*(2*s + 0 + 0).\nAnswer: 225*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:28 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4*-2*-6. Suppose 0*c = u*g + c + 3, 4*g - 9 = 3*c. Solve -2*i + 3 + 3 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/(-2)*(-3)\/(-3). Let f = c + -28. Suppose 14*n - 16*n = -166. What is the remainder when n is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20983205 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2. Let j be 18\/(-15) + (-1)\/(-5). Let m be b(j). Let h = -2 + m. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 2, c: 4, l: 1, o: 2}. What is prob of sequence ol?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-6))\/w**(-1\/3)*w**(2\/5)\/(w*w*w*w*w**7*w))**44 assuming w is positive.\nAnswer: w**(-2156\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9895975?\nAnswer: 5, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150010 and 1120?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136850*s**6 + 154734*s**2?\nAnswer: 16422000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2. Let i(m) be the third derivative of -m**6\/30 + m**5\/20 + m**2. Calculate 3*f(l) + i(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.03. Let g = -290 + 164. Let c = g + 125. What is the nearest to c in l, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1950, -1908, -1838, -1740?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 + 100. Suppose y*p + 13 = 137. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 3*a**2 + 3. Let u be n(3). Let y be (2\/u)\/(8\/32). Suppose 0 = -x - 0*x - 1. What is the closest to x in 4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6544296 divided by 396.\nAnswer: -16526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a factor of 6935982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227296.\nAnswer: 2, 3, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 - 139. Solve -b = -3*j + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:45 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 247, 492, 737?\n\"Answer: 245*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -75, -132, -221, -354, -543, -800, -1137?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + -3)*(-62)\/5 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11085 divided by 6\nAnswer: 3695\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 7*p + 41. Calculate b(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 51\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -51\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -9.8 (c) 2\/9 (d) -360 (e) -3\/5 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 - x**4\/4 - x**3\/6 + x**2 - 3*x. Suppose 2 = -4*v + 14. Give w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 7. Let k(q) = 2*q + 19 - 1 + q + 2. What is 6*k(i) + 17*x(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100001011001110011110 - 101?\nAnswer: -100100001011001110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9823432 minus 0.2?\nAnswer: -9823432.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let k(b) = -45*b + 24. Let u(z) = -18*z + 10. Let q(s) = 5*k(s) - 12*u(s). What is l(q(v))?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000100862155 to 7 dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/80 and 47\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-22 + 27 - (2 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 c when three letters picked without replacement from {u: 2, w: 1, v: 1, e: 1, c: 1, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-323)\/(-114)*28\/119*(-174)\/4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*h**2*i**3 - 94*h**2*i**2 + 1547*h**2 - 2*h - 1 wrt i.\nAnswer: -60*h**2*i**2 - 188*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 13. Let o be j(6). Suppose 0 = -2*s + o*s - 10. Suppose -d = 3*d. Solve d = 3*h - 4*v + 16 + 3, -s*v + 7 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2\/4 + 45*c - 93 = 0.\nAnswer: -62, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-7)\/(-2))*-2. Which is smaller: 3\/10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-243)\/(-54)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19995, -80209, -180561, -321051?\n\"Answer: -20069*g**2 - 7*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3393 and 1071?\nAnswer: 403767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 637.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 88. Sort d, 3, -4, -0.4 in decreasing order.\nAnswer: 3, -0.4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 78\/113, -33.71, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86144521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 6*s - 3. Let q be x(-7). Suppose 3*f = -3*m + m + q, 3*m - 5*f - 25 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.000605ms in seconds?\nAnswer: 0.001000605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 60, 97, 138, 183?\n\"Answer: 2*c**2 + 27*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*3)\/((sqrt(63) - sqrt(7))*3).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 - ((-23)\/(-6) - 4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**5 - 10*r**2 + 24*r**5 + r**2 - 9*r**5 wrt r?\nAnswer: 1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-7)\/((-21)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - 3*i**3 + 83*i**2 + 656*i**2 + 3*i**3 + 73*i - i**3 - 74*i as w*i + s*i**4 + m + f*i**3 + r*i**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 45 = 5*d, -2*x = -0*d + d - 13. Suppose t + 7 = -2*a, a + 2*a = -x*t - 8. Is 1.9 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/6)\/(2\/(-42)). Solve -8*r = a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/5 - 2*d**2 - 7*d. Let c(m) = m**3. Let h(i) = -5*c(i) + k(i). Differentiate h(r) with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*k + 7143 + 879 = 95*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 - 2*r + 25. Let n(v) = -2*v**2 - v - 5. Let u(x) = -5*n(x) - w(x). Factor u(g).\nAnswer: g*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13011462 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -5) + (-6)\/(-3). Let q(v) = -1 - 2 + 1 + v + m. Let l be q(10). Solve 6*z - 2*z + l = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-30)*5\/2. Suppose i + 2 = -2. Sort b, 2, i in ascending order.\nAnswer: i, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 5 - 28 - (1 + 13)) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 10:50 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22606 or -27436?\nAnswer: -22606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04984270942 rounded to four dps?\nAnswer: -0.0498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-44))\/(33\/48*12)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14925514 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 298.\nAnswer: -6\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -14, -18, -22?\n\"Answer: -4*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + 4*l - l, -5 = 5*f + 5*l. Which is smaller: f or -15\/13?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 8*p + 10. Let r = -626 - -659. Calculate the remainder when r is divided by v(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c + 2. Let x(n) = n**3 - 6*n**2 - 14*n + 29. Let w be x(c). What is the greatest common divisor of w and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -391 and -395 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 54*d**2 - 16*d - 4. Let b(j) = 18*j**2 - 5*j - 1. Determine -10*b(u) + 3*q(u).\nAnswer: -18*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4 - 6. Suppose p*r = 3 + 1. Let k(f) = f**2 + 2*f**2 - r*f**2. Let d(v) = -2*v. What is d(k(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(-7 + 7 - 6*d**4) + 0*d**5 + 3*d**5 + d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.83597kg to grams.\nAnswer: 64835.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1a5b1a7a?\nAnswer: 1a5b1a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (5 - 1) - (7 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 72, 156, 268, 408?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -50*z**2 + 70*z - 260. Does 18 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3 - 3566*i**2 - 301784*i = 0. Calculate i.\nAnswer: -238\/3, 0, 1268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287*n**2*p**3 + 61*n**2*p**2 - 5*n**2*p + p**3 wrt p.\nAnswer: -1722*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 3257884569820945 + 3257884569820945.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t = 45*t - 5. Suppose 7*u + t + 6 = 0. Does 11 divide 30\/(-2)*u + (-10 - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5\/3 + 136*x**4\/3 + 52*x**3 - 544*x**2\/3 - 560*x\/3 = 0. What is x?\nAnswer: -2, -1, 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (202\/9)\/(-14 + (-900)\/27). Let k = -10\/71 - s. Determine v so that 0 + 0*v + 1\/3*v**4 - 2\/3*v**2 - k*v**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-123))\/(66464\/(-40672))\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 323 + 146. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-9)\/(-84))\/(9\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*y - 435744, p - 21836 = 16*y + 196053. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26307117 * 0.4\nAnswer: 10522846.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:15 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, t: 11}. Give prob of picking 1 t and 2 y.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let h(o) = -32*o**2. What is h(d(b))?\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -25*t**2 - 25374*t + 9. Calculate w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216395 and 46443?\nAnswer: 88938345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23039582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 102.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 262, 8, -2\/17, 26\/11 in descending order.\nAnswer: 262, 8, 26\/11, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (484\/(-22))\/132*9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9721316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*q - 197*q + 11*q**2)*(-2 - 3 + 4 + (-3 + 0 + 5)*(0 + 2 + 0)).\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -3, 4.6, 202, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19743799 to the power of 1\/2, to the nearest integer?\nAnswer: 4443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - 9*x + 1. Let q be c(4). Let h = q - 12. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1279 - -4261. Does 72 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.17 + 0.17. Let n = q - -13. Which is the second smallest value? (a) 1 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/3 - 22*v - 64\/3 = 0.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -28, -75, -162, -301, -504, -783, -1150?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 946147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 45*f**2 - 7*f - 6. Let y be a(-1). Suppose -y = -2*r + 4*p, -4*r - 54 = -7*r + p. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 276*g**2 - 4.\nAnswer: 276*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.283546 decades in millennia?\nAnswer: 0.08283546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-1*1*-6*-4)\/((-2*sqrt(960) - sqrt(960))\/((sqrt(42)\/sqrt(2))\/sqrt(7))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u. Let g be (2 + -2)\/4 + u. Suppose 2\/7*i**3 + g*i**2 + 0 - 2\/7*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 313*x**2\/2 - x\/4 + 313\/2.\nAnswer: (x - 626)*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/9))\/(q*q**(-14)*q*q)*q\/((q**(1\/14)*q)\/q)*q*q**(-1\/14)*q assuming q is positive.\nAnswer: q**(929\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -28*o - 115 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 23. Let m = 5 + o. Suppose -5*p + 30 = -m*p. Let j(c) = -c**3 - 7*c**2 - 5*c - 5. Give j(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264.8181 - 264.6. Round j to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((6\/(-14))\/(-3))\/1. Let a = 2 - 4. What is the second biggest value in 4, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 5*d + 16*x - 5, -9 = 2*d + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2. Let j(o) be the first derivative of 11*o**2 + 6*o + 755. Give f(j(w)).\nAnswer: 968*w**2 + 528*w + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678654 (base 10) to base 13.\nAnswer: 1a9b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 1. Let r(o) = -28*o**2 + 4*o - 2. Let m(c) = 3*f(c) + r(c). Suppose 53 = -28*s - 14*s + 11. Determine m(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**5 + 268*a**4 - 380*a**3 - 140*a**2 + 388*a - 128 = 0. What is a?\nAnswer: -1, 1\/2, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6284*o + 67753 + 215772 = -3574*o + 8631*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**4*s**2 + 30*l**3*s + l**2*s**2 - 2*l**2 + l*s**2 wrt l?\nAnswer: -48*l*s**2 + 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 16*u = 2, -22 = 9*x - 12*x - u for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92274\/2231 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2599*j**2\/2 - 367. Let t(h) = h. What is w(t(g))?\nAnswer: 2599*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*n**4 - 14945*n**3 + 283970*n**2 - 111720*n - 794880 = 0. Calculate n.\nAnswer: -36\/25, 2, 23, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 12, l - 3 = -4*z - 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -69 + -3 + -4 + 2. Let c = 16 - w. Let l = 166 - c. What is the least common multiple of 20 and l?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*l - 473*l**3 - 287*l.\nAnswer: -473*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 105 = -26*g. Let w be -5*((-54)\/g + 2) + -4. Solve 0*n - 5*n - w*j + 13 = 0, -n - j + 2 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 42*m**2 - 95*m + 53. Determine n(-44).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908273650.\nAnswer: 2, 5, 31, 373, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**5 + 4*g**4 - 1916*g**3 + 2124*g**2 + 163080*g + 302400 = 0.\nAnswer: -21, -8, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let l(k) = -k + 1. Let r be l(w). Suppose u - 148 = -r*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-102))\/(((-102)\/(-8))\/((21\/(-3))\/(-14))).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36804, 73357, 109910?\n\"Answer: 36553*v + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620461921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.5 (c) -1057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8166 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 3, -525 in ascending order.\nAnswer: -525, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/105*(2 + -19 + 18).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10079, -20123, -30167, -40211, -50255, -60299?\n\"Answer: -10044*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/7 + 12*d**4\/7 + 2*d**3\/7 - 48*d**2\/7 + 32*d\/7.\nAnswer: 2*d*(d - 1)**2*(d + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 2\/5, -6118, 2\/53, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 32346570?\nAnswer: 226425990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46088, 184383, 414876, 737561, 1152432, 1659483, 2258708?\nAnswer: 2950101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0146 + -22.7146. What is y rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1062, 56, -156, -11 in decreasing order.\nAnswer: 56, -11, -156, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21487 is divided by 748.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1992110087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340826 is divided by 1557?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62151*q**4 - 26*q**3 + 9*q**2 - 9*q + 1565239.\nAnswer: -745812*q**2 - 156*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c27b + -1?\nAnswer: 1c27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318734 is divided by 79660?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + y - 4*y + 3*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*c = -2524, -2*g + g + 621 = 4*c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/12 + 1)*-66. Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (3 - 3)\/(-4)*-1. Suppose 3*v + 50 = -x*v. Let a = v - -28\/3. Which is greater: 11\/4 or a?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.5, -2, -0.3, -3\/2 in descending order.\nAnswer: 20, 0.5, -0.3, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + n)*(-2033*n**3 + 5*n + 1987*n**3 - n).\nAnswer: 92*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 96*o**2 + 207*o - 171. Determine p(-98).\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 - 77 + 3*i**2 + 77 - 34*i**3 in the form o*i**3 + d*i + n*i**2 + m and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1872)*1.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132613 and 121301?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**6\/18 - 5*a**5\/12 - 25*a**4\/18 + 50*a**3\/9 + 20*a**2 - 129*a. Let v(k) = 0. What is k?\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.74 + 8.64. Let i = x - -5.1. Is i less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/(w*w**(-12))))*w**(-23))\/((w*w**17*w)\/((w\/w**(-1\/74))\/w)) assuming w is positive.\nAnswer: w**(-2293\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z - 9*z**3 - 17\/2*z**2 + 5. Find the second derivative of o(h) wrt h.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -3\/7 (b) 2 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 459?\nAnswer: -137.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -12. Let o be ((-6)\/(-36))\/(j\/6). What is the nearest to 0.2 in -2\/3, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.1 + 0.9. Let y = g - 9.9997. Round y to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/102 and -76\/375.\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -944*c**4*u**3 - 366*c**3*u + 2*c**2*u - c**2 - 10085*c*u**3 + 3*u**2 wrt c?\nAnswer: -22656*c*u**3 - 2196*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 7. Let q be p(-6). Let t be (-3)\/(-2)*6*(-10)\/(-45). Suppose t*x - 10 = 0, 5*x - 21 = -5*w + 6*w. What is the closest to q in w, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13812*p - 112*p**3 + 13812*p.\nAnswer: -112*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.544 + -0.156. Which is bigger: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1437.\nAnswer: -1\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(((x*x**(2\/9)\/x*x)\/x)\/x*x))\/x))**(-9\/2)\/(x\/(x\/(x**(-1\/6)*x)*x)*x)**(-10) assuming x is positive.\nAnswer: x**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*q + 16, -16*q = -13*q - 3. What is the third derivative of -14*x**2 + 87 - 71*x**l - 12*x**2 + 24*x**2 + 12 wrt x?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 303*j + 3200. Give m(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90631359 divided by -1\nAnswer: -90631359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 269*y**3 + 4*y**2 + 4*y - 86. Let u(o) = -1075*o**3 - 15*o**2 - 15*o + 345. Let l(r) = 15*a(r) + 4*u(r). Differentiate l(f) wrt f.\nAnswer: -795*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and 1.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 + 2*s - 1. What is the remainder when 10 is divided by a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06582 - -0.065. What is m rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 4*p**4 + p**4 + (-9*p**4 - 47*p**2 + 47*p**2)*(11 - 23 - 7).\nAnswer: 169*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 6*l**2 - l. Let h(j) = -2*j**2 - j. Let v be h(-2). Let b be t(v). Solve 0 = 3*n - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89177, 89204, 89249, 89312, 89393, 89492?\nAnswer: 89609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-11)))\/(d*d**(2\/17)\/d))**31 assuming d is positive.\nAnswer: d**(-5859\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p = 4*b - 6, 0 = -2*p - 3*b + 16. Let w be ((-1296)\/(-180))\/(12\/10 - 1). Let k(i) = -3 - 16*i + w*i - 16*i. Calculate k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u**2 - 118*u - 18. What is s(-5)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3 + 2*t**2 - t - t**2 - 2. Let q(u) = 5*u**2 - 7*u + 3. Let w(s) = -q(s) + 4*v(s). Suppose -66*h = -72*h + 12. What is w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 5264?\nAnswer: -5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from nneenhxpephevnhvp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -27*g - 2. Let x be o(-4). Let m = 741\/7 - x. Suppose -5*z = -2*i + 13, 5*z - 1 + 19 = -3*i. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 6*x**2 - 4*x - 4. Let g be y(5). Put g, -4, 3 in descending order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 2*h - h + 1499.\nAnswer: -4*h + 1499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48976*q - 14 - 15 + 29 - 49186*q.\nAnswer: -210*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v + 8. Let h be d(-6). Let n = -39 + h. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**2 + 8*p. Let q(s) = 3*s**2 - 3*s. Suppose x - 1174 = -1182. Let l be 5\/(-2) + 1\/(-2). Calculate l*b(y) + x*q(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5404556552?\nAnswer: 2, 37, 18258637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 48*z. Let p(i) = 34*i + 6848. Determine q(p(o)).\nAnswer: 1632*o + 328704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*50 + (-63554428)\/(-1270896).\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + -12)\/(2\/2). Let i(o) = -o**2 + 235. Is i(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2987 and 1.19.\nAnswer: -2985.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)\/((-3)\/21). What is the second derivative of 3*b - b - q*b**3 + b + 4*b wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 33584?\nAnswer: 33611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 2 - -1)*4. Let v(j) be the second derivative of -5\/2*j**2 - 8*j + 1\/4*j**4 - 5\/6*j**3 + 0 + 1\/20*j**5. Calculate v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let y(b) = 13*b - 11*b - 8 - 13*b. Let k(q) = -4*q - 3. Let c = -12 + 20. Let h(i) = c*k(i) - 3*y(i). Determine f(h(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -32*k - 9422. Let j = 813 + k. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/3))**24\/((q\/q**2)\/(q\/q**(-6))))\/(((q*q*q**(-1))\/(q**(-3)\/q))\/(((q\/(q\/q**(1\/2)))\/q)\/q**(-2\/13))) assuming q is positive.\nAnswer: q**(1109\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*m**4*v**2 + 64272*m**3*v**3 - 27*m**2*v**3 - 32808*m**2*v**2 - 3*m**2 + 2*m wrt m?\nAnswer: -2040*m*v**2 + 385632*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 7*q**2 + q + 5. Is 6 a factor of w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 + 3*-1. Let p be (r\/(-5))\/((-6)\/(-5)). Let h = 440\/339 - -4\/113. Which is the closest to p? (a) -1\/5 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 410 + -219. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 424*a + 4*a**2 - 213*a - 208*a + (5 - 2*a**2 - 5)*(2 + 4 + 7).\nAnswer: -22*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36396839 - 3\nAnswer: -36396842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46366, 92907, 139554, 186361, 233382, 280671, 328282, 376269?\n\"Answer: 9*p**3 - p**2 + 46481*p - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4) + 2 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 12 = 0. Suppose -5*u + 0*m = 3*m + g, 5*u - 4*m + 19 = 0. Is -12 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:00 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -32. What is the second smallest value in -2, h, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-60918.8.\nAnswer: 30459.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + 25. Let v = 276 - x. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/16658 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -1, -28\/13, -2\/3, -0.01?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3355731, 3355805, 3356009, 3356409, 3357071, 3358061, 3359445, 3361289?\nAnswer: 3363659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(2 + 0 - 1)*(-n**5 - 6 + 6) + (-2*n**3 + 0*n**3 + 4*n**3)*(4*n - 2*n**2 - 4*n).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1770\/(-6)*((-9)\/15 + 1). Let x = -89 - n. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 1857 = 625. Calculate the highest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23705.13 litres in millilitres?\nAnswer: 23705130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 12*z - 3*z**2 + 3*z**2. Suppose -2*g + 35*g - 70 = -37*g. Let x(h) = h. Let o(w) = g*c(w) + 6*x(w). Suppose o(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-1\/4))\/t*t*t*t*t*t*(t\/(t\/(t\/t**(-4\/7)*t)*t))\/t*(t*t**(-2\/5)\/t)**(-3\/5))\/((t*t**(2\/7))**(-42)*(t\/t**(7\/3))\/t*t**(1\/3)) assuming t is positive.\nAnswer: t**(43793\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let b = -0.7 - 0.3. Let n = -114 - -119. Put b, n, m in increasing order.\nAnswer: b, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 - 8*p**2 + 3*p**2 - p**2. Let m be 7\/((-21)\/(-2))*6. Let t(i) = 3*i + 3*i - m*i. Calculate t(c(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 565, -45 in ascending order.\nAnswer: -45, 123, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 98, 376, 844, 1502, 2350, 3388?\n\"Answer: 95*d**2 - 7*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/22 and -95\/49832.\nAnswer: 548152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038745 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-9)\/(-3) + -4). Suppose q = -4*a - 5*g, -a + 4*g = 2*a. Suppose 4*w + a*w = 264. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - x**3 - 186 + 4*x**3 - 3*x**3 - 20*x.\nAnswer: -2*x**3 - 20*x - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80472 and 7443660?\nAnswer: 14887320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4*n\/((n*n**(-2\/19))\/n) assuming n is positive.\nAnswer: n**(97\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5003984, 5003983, 5003982, 5003981?\nAnswer: 5003980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*x**3 - 11*a*x**2 + 75*a + 1691*x**5 + 5*x**2 wrt x.\nAnswer: -6*a + 101460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 7317*s\/2 + 7316.\nAnswer: (s + 2)*(s + 14632)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.03621.\nAnswer: 0.07242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let a(v) = 3*v**2. Let c(k) = -6*a(k) - 22*t(k). Let f(b) = -390*b. Determine f(c(r)).\nAnswer: -1560*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 0 (c) 4\/1059 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 14*s - 22. Determine l(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 3635\/(-905))*8\/(-20). Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51893*j*p + 37*j + p - 197 wrt p?\nAnswer: 51893*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570720 and 21808.\nAnswer: 26823840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*y - d - 2, -y + d + 2 = 0. Suppose y = -4*c + c + 6. Does 21 divide (-57)\/c*(5\/(-3) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1728624 and -89\/4033456.\nAnswer: 12100368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 8*s + 3. Let k be d(8). Suppose -k*h - 5*a + 941 = 0, 0 = -a - 1 + 5. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2610 and 40936110.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/5))**(-22\/7)\/((f\/(f*f**(3\/5)))\/f**6) assuming f is positive.\nAnswer: f**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**2*v**3 + 7*l*v**3 - 3*l + 2*v wrt l?\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4 + 204*d**3 - 10606*d**2 + 20604*d - 10201 = 0.\nAnswer: 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*n + 49 = 0, 4*w + 2*n = 3*n + 58. Let b be -6*10\/w*-9. Let m = b + -39. Sort -4, m, 4.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 63, 106, 151?\n\"Answer: v**2 + 38*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*r**2 + 253*r**3 + 234*r**3 + 2*r**4 - 475*r**3.\nAnswer: 2*r**2*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.5 - -32.5. Let g = -0.1187 - 39.0513. Let p = g + o. Round p to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 134 + 8 + 4*z**2.\nAnswer: 4*z**2 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 + 2*v - 16*v**4 + v**2 + 8*v**4 + 4*v**2 - v**3 + 1 to o + n*v + h*v**3 + q*v**4 + r*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100083940 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 753.7 - 753.72. What is the third biggest value in 5, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Let o be (k\/(-10))\/((-4)\/(-20)). What is the remainder when 12 is divided by (3 - (-4)\/o)*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -19. Let h(f) = f**2 - 16*f - 13. Let q be h(17). Suppose q*s - s = b. Solve -s*y - 4 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/245*15)\/((-45)\/(-280)*4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*c - 2, -2*c - 1 = 4*k - 5*c. Suppose k*d - 17 = -1. Suppose m - 36 = -d*m. Solve 0 = g - m, -4*g - 2 = 5*h - 2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*t, -l + 4*t = 4*l. Suppose l = 6*p + 5*p - 88. Calculate the smallest common multiple of 9 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + (-44 - -43) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5.463 (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k + 49. What is the tens digit of t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = -1. Let z(m) = m**2 - 2. Let u be z(2). Let q be 1 + 1 + u + o. Which is the third biggest value? (a) q (b) 2 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1681.\nAnswer: -336.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by -2.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 424 = -375. What is the remainder when o is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48488 (base 12) to base 3.\nAnswer: -11221200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82940*q + 82948*q + 12*q**2 - 248834*q + 82946*q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1254\/(-15) + 6\/10. Let y be (-1)\/2*(1 - 1)\/3. Is (10 - d) + (y - 0) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4436 and 95\/204056.\nAnswer: 204056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 871298 by 871298.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:29 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 29. Suppose c + 14 = b. Calculate the remainder when 40 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + -14003605?\nAnswer: -14003523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**3 + 7*a**3 - 8*a**3 - 8*a**3 + a as z*a**3 + h + v*a**2 + k*a and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507 - 507 - 112114*h**2 - 70402*h**2 + 23460*h**2.\nAnswer: -159056*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.04709 + 0.04709. What is the third smallest value in f, 2, 5.4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(-9*(-2)\/135)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1259*s - 1254*s - 3675. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 15*r**2 - r + 19. Let q be u(15). What is the common denominator of (1 - q) + (-195)\/26 and 3\/6*(-13)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -607 - -757 - (-32 - -286)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 13*t**2 - t - 13. Let u be w(-13). Let b = 153 + -148. Suppose 8 - b = 3*o. Solve -h - o + 0 = u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 10, -3*y + 961 = 5*b - 5574. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15935763 is divided by 2042.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3567 is divided by 2415\/147 - 8\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 2*s**4 + 5*s**4 + (3*s + s - 2*s)*(12*s**2 - 12*s**2 - 7*s**3).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + -3 + 7 + -21 + 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.97045 - -0.01255. Let f = d - -0.017. Let a = -2 + 2.5. What is the nearest to 0 in a, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450 - -13?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2306 + -1718. Calculate the greatest common divisor of 105 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in months?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - -14) + (-5 - 15) + 32.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3654 by -6.\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46.988 - 47.2. Let u = -0.088 + f. Which is the biggest value? (a) 0 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 14*m + 29. What is y(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.9. Let z = 3571.6 + -3569.6. What is the closest to j in 3, 1\/10, z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -87532 and -3.\nAnswer: -87535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - 0) - 13 - (731 - 697)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uurtotuwttoooff. Give prob of sequence uoo.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.4 (b) -2 (c) 7.91 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*q + 89 = 0, 5*l + 0*l - 4*q = 143. Suppose -b + l - 24 = 0. Suppose b*c - 3*z = 9, 3*z = 3*c + 7*z - 16. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 975581, 1951137, 2926693, 3902249?\n\"Answer: 975556*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c**5\/5 - 2523*c**4\/5 + 83142*c**3\/5 - 442746*c**2\/5 + 675621*c\/5 - 87723\/5 = 0. Calculate c.\nAnswer: 1\/7, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 30*l**2\/7 - 64*l\/7 + 96\/7.\nAnswer: -2*(l - 1)*(l + 4)*(l + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:27 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 + 39*s**5 + (1 - 1 + 2*s**3)*(8*s**2 + 3 - 3).\nAnswer: 55*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15060, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 17 + 134\/102 - (6059\/(-219) + 28)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/14 + 8*j**3\/21 + 5*j**2\/7 + 4*j\/7 - 2. Factor g(f).\nAnswer: 2*(f + 1)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -1919\/30. Let a(k) be the second derivative of 0 - k + 1\/3*k**2 - p*k**5 - 1\/18*k**4 + 1\/9*k**3. Suppose a(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 2)*(0 - -3). Suppose -7*g + o = -3. Suppose 5*u + g*b - 390 = 1612, -3*b = 3. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190609 or -190608?\nAnswer: -190608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1316*y**2 + 22. Let r(g) = 263*g**2 - 4. Determine -2*p(f) - 11*r(f).\nAnswer: -261*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/11 + 8*m**3\/11 - 570*m**2\/11 = 0. What is m?\nAnswer: -19, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u - 5*u - 9*u - 3*u + 29*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 10}. Give prob of picking 4 j.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 47*z + 9. Let u(m) = 4*m. Calculate b(u(r)).\nAnswer: 188*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from nnnnpnnnpnnnn.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4686 divided by 6\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -285b5 - 8?\nAnswer: -285c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371849?\nAnswer: 19, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 129443 - 12?\nAnswer: 129431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*h + 4 = -3*l + 4*l + l + 35, 2*l + 36 = -4*h for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7501569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.332 millilitres to litres.\nAnswer: 0.517332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 0*i**2 - 7*i**2 - 3 + i**3 + i**2. Let p(m) = -m**2 - 11*m + 214. Let z be p(10). Suppose -2*k - 3*d = 0, z*k + d - 10 = -0*k. Give j(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q + 10*q. Let g(i) = 2*i + 4. Calculate g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112122 times 0.09?\nAnswer: -1000090.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g**3 + g**3 - 2*g**3 + 12*g**2 - 7*g**2 + g. Give t(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((33\/((-3300)\/16))\/(3\/15))\/((-8)\/(-700)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 1 d when three letters picked without replacement from {w: 2, d: 2, c: 2, g: 1, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 305, 469, 651, 857, 1093?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 12*n - 25. Suppose -4*t - t = 2*z - 79, -214 = -n*z + 4*t. Is z*(0 + 0 + 2\/6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -328*b**2 + 10169*b - 106. Determine f(31).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81\/2 - 3241\/80. Let f be 4\/6*363\/(-160). Let q = b - f. Sort q, -1, -2\/7.\nAnswer: -1, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123300.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185961.2 years in centuries?\nAnswer: 1859.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 12 = -3*d, -2*d - 2 = 2*v. Which is the closest to 1? (a) 2 (b) 12 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*y - 11. Suppose -i = y*i + 18. Sort i, 3, -22.\nAnswer: -22, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39241942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(-y + y + y) + 3*y - 3*y - y)*(0 + 5 - 3).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*3746\/(-6). Let m = -1083 - -187. Let j = p + m. Find the common denominator of 27\/32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 1, 23, 15 in decreasing order.\nAnswer: 23, 15, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 5. Let g = -5 + 2. Which is the nearest to -2\/7? (a) g (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54525.34 minus 107037038?\nAnswer: -106982512.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 5. Let y(f) = -6. What is -7*c(q) + 6*y(q)?\nAnswer: -7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k*k*k**(2\/79)*k*k))*k*k*k\/(k**(13\/2)*k) assuming k is positive.\nAnswer: k**(83\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 21. Suppose 5*a - 2 = 28. Are a and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 - 2*z - 8. Let q be r(-7). Let i be q\/(-16)*4\/(-6). Let y = -2 + 0. Which is the third smallest value? (a) y (b) -1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1164*j + 20. Let m(p) = 1165*p - 13. Calculate -2*a(u) - 3*m(u).\nAnswer: -1167*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76169, 152339, 228509, 304679?\n\"Answer: 76170*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3162*f = -6164*f + 3092*f + 8460 for f.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**13\/((c*c*c**(-12)*c*c*c)\/(c*c*c\/(c\/(c*c**(-4\/11))))) assuming c is positive.\nAnswer: c**(106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 91.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.56. Let p = o - -5.6. Let y = 0 + p. Put 0.5, y, 0 in descending order.\nAnswer: y, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-6 - -8) + -3) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 2\/3, 9\/217351, 5?\nAnswer: 9\/217351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = j - 15, 0*a = -5*a + 4*j + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418226 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 7) to base 13\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let f be 3*1 - (3 + -3). Let n be f*(1 + (-2)\/(-6)). Solve -n*t - q = -10, 0 = 2*t - 0*t - k*q - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 7 - 2*v + 11*v + 10*v + 2*v. Let l be ((-7)\/((-7)\/26))\/2. What is the units digit of m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 8:06 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-391)\/(-1173))\/(1*(-6)\/(-45)*6\/(-60)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5565 + 5567. Which is the closest to -38\/5? (a) i (b) 1 (c) 1\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:26 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 5*c - 6. Let j be p(4). Let a = 305 + -140. Let w = a + j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let o be -2 + (t - 1\/(-2)). What is the second smallest value in 0.3, o, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:48 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 4 + 2 - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000503 rounded to 5 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 24 = -25*q. Let s be (-34)\/(-6) - (-8)\/q. Is s less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 + 15136*z**2\/3 + 90712*z\/3 - 241984\/3 = 0. Calculate z.\nAnswer: -7562, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -142600949.\nAnswer: 5\/142600949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -27. Let z(n) = -4*n + 10. Let v be (28\/10)\/(2\/(-10)). Let d(l) = l - 2. Determine u*z(t) + v*d(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u - 30 = -54*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2540 and -0.5.\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -705335 (base 8) in base 7?\nAnswer: -1654562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460418 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (26 - (13 - 17)) - 12) + -68?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6 - 4. Let d(m) = m**2 + 57*m + 72. Let z be d(-56). Solve g = -4*r + z, n*r = -r - 3*g + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 6*t + 4. Let g be a(6). Let l(j) = -9 + 3 + g*j - 3*j. What is l(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74425\/16 + 4653. Calculate the common denominator of a and (3195\/(-120))\/((-15)\/2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s + 252. Let c(z) = -210*z + 2295. Let w be c(11). Calculate j(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 38*z**2 + 25*z - 340. Let n be h(-39). What is the greatest common factor of n and 14626?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*u + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p = 9*p. Let w = -0.46 - -0.29. Let u = -0.07 - w. Which is the nearest to p? (a) 4 (b) -0.02 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*z - 2*b + 6 = 172*z, 2*z - 12 = -4*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21688, -43372, -65046, -86704, -108340?\nAnswer: -129948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 3752?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296749\/75 + 3956. Find the common denominator of -41\/30 and p.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/91)*q\/((q*q**22\/q)\/q) assuming q is positive.\nAnswer: q**(-1818\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-27) + (1 - 1). Let d = -885\/7 - -126. Let l = 642 + -641.9. Which is the second smallest value? (a) j (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -0.3, 410\/19, 13, 6, -2?\nAnswer: 410\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o + 8. Let s be r(-4). Let v = 108 - s. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.178 greater than -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 - 170. Let r(v) = -44*v - 76. What is the units digit of r(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21012121 (base 5) to base 10\nAnswer: 172786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 times -6?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3) - (-20)\/(-18). What is the second smallest value in 1\/4, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*w**4 - 35*w**3 + 169900 wrt w?\nAnswer: 100*w**3 - 105*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10174, -17873, -25570, -33265?\nAnswer: -40958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8691, 17372, 26049, 34722, 43391, 52056, 60717?\nAnswer: 69374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259666 = -12*k - 25*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 544 + -544.8. What is the nearest to 1 in -0.5, f, -5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 22*r + 8. Let y(f) = 7*f + 3. What is 3*t(n) - 10*y(n)?\nAnswer: -4*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -2 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 3:53 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 3*y**2 - 4*y - 5. Give l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 3390, 7983, 14438, 22767, 32982?\nAnswer: 45095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = f - 19, m + 49 = -f + 5*f. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.3 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360*q**3 - 29835 + 10775 - 355*q**3 + 521*q**2 - 19571*q**2 - 5915*q - 32200*q.\nAnswer: 5*(q - 3812)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14121989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 166492100*b. Let l(s) = -s**2. Give l(c(a)).\nAnswer: -27719619362410000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 12. Let l be b(-2). Let m be l\/105*7*50. Solve -g - 4*g = -m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92963, 92967, 92973, 92981, 92991, 93003, 93017?\n\"Answer: s**2 + s + 92961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/60 + 5*n**4\/24 - 79*n**3\/6 - 27*n**2 + 1. Differentiate i(c) with respect to c.\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:37 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930957313 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 989430324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 767399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -12*n**5 - 2968*n**4 - 42164*n**3 + 1902008*n**2 + 4687296*n - 3957120 = 0.\nAnswer: -229, -36, -3, 2\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.36 decades in millennia?\nAnswer: 4.2236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1148 - -1162. Let s be 4\/f + 9 + (-763)\/98. Solve -s*q + 0 + 5\/2*q**2 - 1\/2*q**3 - 1\/2*q**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**6\/10 + 21*b**5\/20 - 41*b**4\/4 + 33*b**3\/2 - 2*b - 576. Factor s(t).\nAnswer: 3*t*(t - 3)*(t - 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360048 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 3*l - 2. Give f(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 8*g - 7)*(-8 - 5 + 3)*(0 + 0 - 2*g) to h*g + l + c*g**2 and give c.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-2)\/(-128)). Let z = s - 21. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 638 and 3?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8060\/38 + (-1 - (-391)\/437). Let y(i) = -34*i + 5. Let p be y(-4). Let k = p - 88. Calculate the greatest common factor of o and k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*x + 14790, f - 5*x - 7389 = -3*x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208400843.\nAnswer: 7, 2269, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 303a7?\nAnswer: 303ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 2145, 1\/18, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*w + 3*d, 5*w - 26*d - 23 = -25*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 495, 885, 1337, 1851?\n\"Answer: 31*g**2 + 297*g + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3898774 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -15 + 34 + -82.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Let t = 16 - 31. Let d = t + 21. What is the highest common factor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12201 * 12\nAnswer: -146412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6442 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 38. Suppose 49191 - 5476 = z*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 3105 = 38*m. Calculate the remainder when m is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*m - 453997, -5*m = 28*y - 27*y - 454051. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2 + 2. Let a = -2 - -5. Let w be ((-6)\/a - 0) + -2. Sort z, 6, w in ascending order.\nAnswer: w, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4177*y**2. Let n(z) = -6*z**2. Give j(n(c)).\nAnswer: -150372*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 - 2*r - 2. Let c be j(-1). Let w be 4\/(-5)*((-9)\/c - -2). Solve w*z + 6 = -2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9740 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 641 + 278. Suppose -l = -d - 251. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562814293 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: Simplify ((x**(-28)*x\/x**(-11)*x)\/(((x*x*x\/(x\/(x\/x**(-1))))\/x)\/x**(-14\/9)))**44 assuming x is positive.\nAnswer: x**(-7744\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 5, 655, 2 in increasing order.\nAnswer: -5, 1, 2, 5, 655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2363 - 32705?\nAnswer: -35270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x - 11. Let l(z) = -z + 1. Let v(f) = g(f) + 6*l(f). Let u be v(8). Solve 2 = -t + u*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121.53 - 0.47. Let y = f + 121.6. What is the third smallest value in y, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 17. Let u be q(10). Let b = u + 8. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52400, -2\/17, -14?\nAnswer: -52400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 - 8.023. Let t = 8 + -7.928. Let l = u + t. What is l rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-843417)\/(-270) - (-2)\/(-3). Let b = 3135 - y. Let u = -108\/29 + -752\/203. What is the common denominator of u and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 6*b**2 - 4*b - 8. Let i = 30 - 23. Let f be g(i). What is the tens digit of (1 - f)*21\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4092 = -3*f + 2656, -3*f + 3*l + 6780 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 12*f**2 - 13*f**2 - 6*f - 73 as o*f + p + d*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03133270703 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 5, y: 3}. What is prob of sequence byyb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*c - 0*c - 1108, 4*n + 859 = 3*c. Let p = -157 + c. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*j**3 + 656*j**3 - 346*j**3 + (2*j - 3 + 3)*(-3*j**2 - 10*j + 10*j) + 0*j**2 + j**3 + 0*j**2 to the form u + r*j**3 + z*j + a*j**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247397550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) -957 (c) -9 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1068 (base 15) to base 3.\nAnswer: 11202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from hekccxf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**3*m*r**3 + 2*i**2*m - 699*i**2*r**2 - 348*i*m*r - 7*m*r**3 - m*r - 22*r**3 wrt i?\nAnswer: 60*i*m*r**3 + 4*m - 1398*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(((p*p*p\/(p**(-4\/7)\/p)*p)\/p)\/p)\/p)*p**(-3\/5))\/((p\/((p\/(p\/(p**(-4\/5)*p)))\/p))\/p**(3\/10)) assuming p is positive.\nAnswer: p**(-327\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -888, -1 in descending order.\nAnswer: 3, 1, -1, -4, -888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 21. Let v = 11 - 11. Suppose 5*i + 0 + 20 = 0, v = 2*l + 5*i + 16. Let z(m) = 5*m**2 - 17*m**l + 5*m**2 + 5*m**2. Give z(j(n)).\nAnswer: -2*n**2 + 84*n - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 12 = 0. Suppose -5*s = -h*s - 18. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2 + 13 - 8*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134a05 (base 12) to base 11.\nAnswer: -1a8a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2598 + -2613. Let o(m) = -m**3 - 15*m**2 - 3*m - 11. Calculate o(y).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4277*o + 125255. Let n(a) = -a + 41. Determine 9165*n(w) - 3*u(w).\nAnswer: 3666*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*w - 5 = 0, 36*t + 5*w = 32*t - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155229\/10 + -15523. Sort -0.2, 4, 2\/5, s in increasing order.\nAnswer: -0.2, s, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/(-3))\/(5\/15). Let f = 21 + o. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7394 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -276, -616, -1118, -1800, -2680, -3776?\nAnswer: -5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -14985257\nAnswer: -11\/14985257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -2\/11 (c) 1 (d) -1.4 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*g**4 + 2 + 7*g**2 + g**3 + 158*g**4 + 2*g - 79*g**4 to l*g**4 + m*g + o*g**2 + z + d*g**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 97*c**3 - 22*c**2 + 11*c - 4. Let f(q) = -49*q**3 + 12*q**2 - 6*q + 2. Calculate -11*f(t) - 6*p(t).\nAnswer: -43*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-3*3\/(-48)). Let g be ((-24)\/h)\/(2\/(-4)). Solve 0 = x + g*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -142, -290, -484, -724?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 33*u**2 + 2*u + 63*u**2 + 7 - 33*u**2. Let r be v(-4). Let c = -77 + r. Solve 2 = n - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2318, 6, 3, 4 in ascending order.\nAnswer: 3, 4, 6, 2318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(468) + 1 + sqrt(468))**2 + sqrt(468)\/(sqrt(9)*-2).\nAnswer: 47*sqrt(13) + 3746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 913.6935kg?\nAnswer: 0.9136935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 10 + 70 = 0. Let w(z) = 2*z - 7. Calculate w(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964974750.\nAnswer: 2, 3, 5, 1286633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 86\/(-7) + (-2)\/(-7). Let x be (-2)\/3*t\/20. What is the nearest to -1 in 3, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/4191 and 89\/14236.\nAnswer: 59663076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3159164 by 4.\nAnswer: 789791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 11 = -2*t. Let p = 260 - 265. Let s(d) = d - 3. Let f be s(-8). Put t, f, p in descending order.\nAnswer: t, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 224357254*h**3 + 224357224*h**3 + 1.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 0*f - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4408*n + 63 = -4417*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and (230\/(-138))\/(10\/(-816)).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792798 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 36 + (0 - -3 - 4) + 20\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 16, 13 = -2*x + 3*x - 3*x + 3*f + 1 + 2 + 2 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-295)\/(-531)*(-8)\/10\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 7 - 23 - 54 + 2*b + b + 3*b.\nAnswer: 6*b - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7293368 - 7?\nAnswer: -7293375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1088 (b) -3\/2 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + -4*(sqrt(1872)*6)**2 + -4.\nAnswer: -269569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109977 and 2163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/858*22)\/(1*2\/(-18)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -0.5, 1111, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 255221, 255219, 255217?\n\"Answer: -2*j + 255223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129426611589.5 - 12?\nAnswer: 129426611577.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35*(2\/(-2))\/7. Suppose -57*z + 58*z - 16 = 0. Solve -z = -f*x + x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 89*a + 527. Calculate z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -o - 5*p, -4*o + 56 = 20*p - 16*p. Let r be 4\/(-10) + 12\/5. Let i(q) = 3*q**r - 13*q**2 + o*q**2. Let d(u) = -34*u**2. Calculate d(i(b)).\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 361710 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and 5\/417?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143854.00076453 - 143854. Round z to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2 - 4, -4*l - v = -23. Let m = -4 + l. Solve -w + m + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-14295)\/(-6))\/5)\/(6*13\/936).\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -713, -5 in descending order.\nAnswer: 0, -5, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 + 211. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2 + 15 - 5 - 2 + 5*v**2. Let g be (-19)\/(-4) - 16\/(-64). Give m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*c + 17 - 27 + 90 - 11*c - 5*c**2.\nAnswer: -5*(c - 1)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10701132 and 195.\nAnswer: 53505660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*g + 48, 0 = -4*b - g - 0*g + 41. Let r = -30 - b. Let h = r - -36. Is h <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4274, 8547, 12818, 17087, 21354, 25619, 29882?\nAnswer: 34143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*o - 38, 4*o - 22 = a + o. Let s = -11 - a. Let w(b) = -b**2 + 2*b - 4. Determine w(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/27 and 49\/7029.\nAnswer: 21087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942123 is divided by 77.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 1 - 1 + (-u - u + 0*u)*(u**3 - 2*u**3 + 3*u**3) + (-6*u**3 + 3*u**3 + 4*u**3)*(-4*u - u + 3*u).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = c - 5*b, 18 = -5*c + 4*c - 5*b. Solve -c*s - 17 = 25 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 - d**3 + d**2 + 5. Let l be a(1). Solve l = 10*r - 7*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 3*m**4 - 27 + (-3*m - 32*m - 25*m)*(-m**3 + 6*m**3 - 3*m**3).\nAnswer: -117*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-4)*(-124)\/155. Let u = 1 - -3. Differentiate 6*c - x*c + c**u - 3 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 444, 448, 452?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(-22 - 2). Suppose 4*j = -2*n + 2, -4*n + 2*n = -3*j + r. Suppose 0*z - z + 8 = j*s, -3*s + 11 = z. Solve a = -z*a - 3, 3*l + 5*a = -11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 - 1.4. Let i = -0.1 - s. Let o = i - -0.6. Put o, -4\/3, 2 in ascending order.\nAnswer: -4\/3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12183 is divided by 1919?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52931627 + -52931618.9999982. Let f = -8 + q. Round f to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -5 + 47. Let o(j) = 2*j - 10. Let m be o(v). Let x(u) = 3*u - 5. Let z be x(m). Solve -z = i - 0*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011 + 100?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11184 + -11181. Which is the second biggest value? (a) 1\/4 (b) -3 (c) z (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171\/(-15) - (12\/70 - 924\/1617)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*v + 352, v - c = 2*c + 186. Let m be v\/54 - (-5)\/((-90)\/4). Solve g = -m*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88)*6)\/(sqrt(16)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 15. Let y = 44 - s. Let o(z) = z**3 - 2*z**2 - z - 4. Let b be o(y). Solve b*n + 4 = 2*w, 2*w = -n - n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - z + 0*z)*(-4612 - 5992 - 1388 - 5 + 0 + 3 - 2 + 3 + 1 + 1 + 2 - 1 + 0 - 1 + 0 + 1 - 2 + 3 + (2 - 2 - 2)*(5 - 1 - 3)) to f + r*z and give r.\nAnswer: 23982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 5*s - 7. Suppose -4 = -4*x + 24. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:19 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3\/(12\/(-50))*576\/(-720))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let m(u) = -1 + 5*u + 1 - 3*u. Calculate m(c(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1215*m**2 - 12*m - 6. Let u(n) = 29161*n**2 + 286*n + 143. What is -6*u(b) - 143*z(b)?\nAnswer: -1221*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.994 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1700))*-3 - (1 + -1*sqrt(1700) + sqrt(1700)).\nAnswer: -30*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23068 + 23070. Solve 0*j - 4 = y*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/6 - 2*t. Let m(b) = 0 + 28*b**2 - 29*b**2 + 0. What is m(r(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*b + 93. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose 5*v = 2*g + 62, -v - v - 4*g + 20 = k. Let p = v + -9. Solve 12 = -2*d + r, p*d = 2*r - 12 - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44051.1 - 105485?\nAnswer: -61433.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04531 rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)\/sqrt(300) - 3*(sqrt(17)*-1 + sqrt(17))) + (sqrt(17) + sqrt(272)*-5 - sqrt(17)) + (sqrt(17) - (sqrt(1088) + -1*sqrt(1088))))*-4)**2.\nAnswer: 2403392\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k - 7. Let u be p(-8). Let m = -22 + 13. Let o(f) = -f**3 - 8*f**2 - 6*f + 1. Let b be o(m). Calculate the greatest common divisor of u and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c1 (base 13) in base 6?\nAnswer: -15403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.5988?\nAnswer: -0.5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/7 + 12*j**4\/7 + 7*j**3 + 90*j**2\/7 + 76*j\/7 + 24\/7 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1597768788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36085, -72172, -108259, -144346, -180433?\nAnswer: -216520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-42)*(-4)\/(2\/2). Let n(d) be the first derivative of 2\/7*d - 1\/7*d**2 + 1\/14*d**4 - r*d**3 - 1. Factor n(m).\nAnswer: 2*(m - 1)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 21*o + 26 = 0. What are the prime factors of (-101565)\/(-195) - (-4)\/o?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -584 - -581. What are the prime factors of (-4 + 0)*(6677\/(-44) + a)?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v - 15 = 0. Suppose -v*h - 2*d - 6 - 29 = 0, -h - 7 = 2*d. Let y = h + 18. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -13494?\nAnswer: -13496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 - 156. Let u be (-2)\/(-6) - (-16)\/(-3). Which is the closest to -0.1? (a) q (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 4*d + 12. Let l = 44 + -20. What is the least common multiple of d and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -71985.97\nAnswer: 863831.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c + 5. Let u be i(4). Let r = 186 + -148. Let z = u + r. Solve z*x - 10 = -4*t - 5, -4*x = 3*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*j. Suppose 0 = -l + 3*k + 8, 3*l + 0*l + j*k = 0. Solve 3*q = q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 15 = 5*i, 3*j + 28*i = 52*i - 28*i + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(0 - (-6)\/(-4)). Let h = 24.2 - 25. Let l = 1.3 + h. Which is the closest to 0? (a) x (b) 4\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92.5 - -78. Let g = d + 19.5. What is the nearest to -4\/3 in g, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2718 - 2706 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.611 + 9.611. Which is the nearest to -11? (a) 0.2 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 1, 7, 15, 25, 37?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.5 and -10.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 337150 and 0.5.\nAnswer: 337150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**5 - v**5 + 3*v**5)*((-1 + 6 - 3)*(-4 + 2 + 0) + 42 + 46 + 30).\nAnswer: 114*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 215410306 to the power of 1\/2, to the nearest integer?\nAnswer: 14677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 3*t**2 + t - 13. Let r(l) = -2*l**3 + 2*l**2 + l - 7. Let a(v) = -5*r(v) + 3*w(v). What is the remainder when 21 is divided by a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39114 * -4\nAnswer: 156456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Let j be (2\/12)\/(t\/(-20)). Is j at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (6\/213)\/((-6)\/1284). Suppose 24*d - 15*d = -18. Is d less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 24*c**3 + 973*c**2 + 26*c**3 - 845*c**2 - 2.\nAnswer: 2*c**3 + 128*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 11. Calculate the common denominator of w + ((-266)\/32 - -3) and -5\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674 or 2\/8573?\nAnswer: -674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353871165 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 188826363948818.\nAnswer: 188826363948820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 + 501503272?\nAnswer: 501503271.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3066.060515 rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(42\/26)*-3. Let n(a) = -4 - 4*a**2 + 2*a - 4 - 6 + j. Let o(q) = 12*q**2 - 7*q + 4. Determine -7*n(g) - 2*o(g).\nAnswer: 4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6168\/37 or 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 - (-183 + 195)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**4 + 24*x**3 + 64*x - 24. Let m(u) = -3*u**4 - 5*u**3 - 13*u + 5. Let s(r) = 5*f(r) + 24*m(r). Find the second derivative of s(k) wrt k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36602 and 433.\nAnswer: 15848666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 20*k. Suppose k*u + 4*u + 12 = -4*r, r + 3*u + 13 = 0. Let w be 60\/(-36) + r*1. Which is the smallest value? (a) w (b) -0.01 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*b = 20, -5*b - 12 + 34 = a. Let s(u) = -u**2 + 6*u + 11. What is s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22469*z. Let q(n) = -463*n. Give r(q(i)).\nAnswer: 10403147*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 4. Let m(n) = -n - 2. Let r(a) = -9*m(a) - 4*q(a). Let z(v) = -2*v - 5. Let k(p) = 5*r(p) + 2*z(p). Let s(u) = -4*u + 4*u - 6*u. Give s(k(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 766674*b - 7. Let z(n) = -766675*n + 7. Let u(v) = 6*k(v) + 5*z(v). Let c be u(3). What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -480372*t**4 + 199869.\nAnswer: -1921488*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z. Let c be d(-4). Suppose -3*g = c*y - 43, 2*g = -2*y + 34 - 6. Let s be g - 6*(-3)\/(-6). Solve s = i + 5*r - 2*r, i - 3*r + 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*v - 32, -2*v = -3*x + 7 + 15. Let y(g) = 6*g - 7. Let u be y(6). Let t = u + v. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85221518 rounded to four dps?\nAnswer: -0.8522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3719 divided by -1004\nAnswer: -3719\/1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 18*q - 44 - 36. Solve 143 = q*z + 103 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2 - (30 - 435\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 8, y: 6, h: 2}. Give prob of sequence xyyx.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, 0.4, 2, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131005447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from miycv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 3*y + 0*y)*(-312 - 258*y**3 + 530 - 235) to c*y**2 + g*y**4 + k*y + a + s*y**3 and give g.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -23. Suppose 3*m + w = 6*m. Suppose 0 = 12*r - m*r - 21. What is the remainder when 25 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56269*a - 56264*a + 112544*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*g, -795*v + 20 = -2*g - 799*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**7\/1155 + i**6\/132 + 7*i**5\/330 + i**4\/44 + 5*i**2 - 6. Find a such that b(a) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knqnk. What is prob of picking 2 n and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17612 = -1450*o - 1066*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 474 = -156. Suppose 0 = 4*f + k - 190. Let j = 223 + -123. Calculate the remainder when j is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -20*d + 9*d. Solve 0 = -5*j - d*x + 4*x - 11, -j = 5*x - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2943 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 - b - 3. Let r(x) = x**2 - 2*x - 11. Let n be r(5). Let s(c) = 2 + 2*c**2 - 2*c**3 - 6 + c**3 - 2*c. What is n*j(w) - 3*s(w)?\nAnswer: -w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.463 - 3.463. Is l bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3\/2, -16465, 0, -2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (80 - 95 - (-9 - 2) - (45 - -2))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/26? (a) 0.01 (b) -0.5 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55131743711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**2 - 1031*o - 460.\nAnswer: (o - 115)*(9*o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 106*j**3 + 1224*j**2 - 5152*j - 6272.\nAnswer: 2*(j - 4)*(j + 1)*(j + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkkskk. Give prob of picking 1 k and 1 s.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 39 - 5*x**2 + 0*x + 48 - x**3. Let n be u(-6). Let s = n + 4. Is 2\/7 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 56. Let z be k(26). Let l(m) = m**3 - 5*m**2 - m - 6. Let w be l(6). Let p be 14\/z*w\/(-42). Solve 0*v = v - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111001110 (base 2) to base 7\nAnswer: -2561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**3 - 13 + 2*f**3 - f + 2*f**2 - 10 - 4*f**3 + f**4 + 20 as o*f**2 + v*f**3 + m*f + q + n*f**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387327 is divided by 284.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -733.4 - -733. Which is the second smallest value? (a) i (b) 0.73 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*f - 271, 0 = -4*f - 2*o - 3*o + 224. Suppose -6*y + f = -3. Find the first derivative of 2*s**4 - 5 - y + 1 wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447*f - 692.\nAnswer: -447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10123 is divided by 58?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -16 - (144 + (-107 - -71))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1074 - 371. List the prime factors of a.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76068\/30 + 1\/((-15)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/20 + 9*a**2 - a. Let p = -2 - -2. What is the remainder when u(p) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182 is divided by 110.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 5*c**3\/9 + 560*c**2 + 3355*c\/3 + 3154. Factor r(w).\nAnswer: 5*(w + 1)*(w + 671)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160747*1\nAnswer: -160747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27847?\nAnswer: 27847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*n - 19 + 68, 2*i - 27 = 3*n. Let f(d) = d**2 - 3*d - 21. Let s be f(i). List the prime factors of (s - 2) + 3 - -96.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 591 - 3a?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 7.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**4)*y\/(y\/(y*y*(y**6\/y)\/y*y*y*y))*(y**1)**(30\/7)*(y**(-1)\/(y*y*y**2*y))\/((y*y**2)\/y*y**(-3)) assuming y is positive.\nAnswer: y**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and 2\/(-6) - (-102)\/48*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-205632)\/(-5292) + 24\/(-12) + (-30)\/(-14).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0.027, 398?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 12 + 24. What is the remainder when (6 - 0)\/((-5)\/(-20)) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.2. Let t = 0.05 + -0.05. Let y = 0.5 + t. Which is the third smallest value? (a) m (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-14))\/(-1) - (-66)\/14. Suppose z*o + u = 5, 5*o + 3*u = 1 + 14. Solve o - 2 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**7\/70 - l**6\/20 + l**4\/4 - l**3\/2 - 7*l**2\/2 - 7*l. Let v(b) be the first derivative of g(b). Factor v(d).\nAnswer: 3*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2719557625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -167, -154, -133, -104?\n\"Answer: 4*a**2 + a - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4 (b) -5 (c) 1 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12142255 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130801 and 16544.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/d**7)\/d)*d**6\/d*(d\/((d*d**1)\/d))**10 assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 5\/2*l**2 + 0 + 1\/6*l**4 + 4*l + 0*l**3. What is the derivative of z(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -362.999999168. What is t rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 12. Let c(b) = -5 - 1 - 10*b - 4*b**3 - 11*b**2 + 2 + 5*b**3. What is the units digit of c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (2 - (-7 + (3 - 13)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((95\/380)\/((-19)\/(-2)))?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) + -2*sqrt(105))\/sqrt(7))\/(sqrt(21)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*w**2 + 522*w**2 + 5621*w + 274*w**3 - 175*w**2 + 33*w**3 - 180*w**2 wrt w?\nAnswer: 1842*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 4 (c) 2 (d) -2 (e) 62994\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:38 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*t + 3, 17*l - 13*l = 3*t + 2. Solve 3 - 1 = -l*a + 2*j, 2*a - 5*j = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1300497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*w + 94*l - 96*l, 0 = 3*w - l - 47. Let b(q) = 8*q - 38. Calculate the least common multiple of b(6) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/((-58625)\/4824))\/(24\/(-90))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2. Let l(w) = -110*w - 114*w - 44*w + 466*w - 136*w - 2. Calculate l(r(p)).\nAnswer: -248*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 672\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4 - (2\/30 - (-15)\/((-21600)\/(-57144)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -8. Solve 5*n = 3*h + 12, n = 2*h + 3*n + t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 9}. Give prob of picking 1 i and 2 x.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -913 and -136.\nAnswer: 124168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + -4 + sqrt(21)\/sqrt(3))*-1 + 4 + ((2*sqrt(70))\/sqrt(5))\/sqrt(2)*-3.\nAnswer: -9*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 4*r + 9. Let k(t) = 2*t**2 + 2*t - 8. Let w(p) = 3*d(p) + 4*k(p). Give w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51983*z**4 + z**2 + 93*z + 87 wrt z?\nAnswer: -623796*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -325 in 3\/5, 18, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5578 + 5593 = 0, -28*a + 331 = -b for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -119 + -554?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1053 + 240 + 81)*(-w**2 - 2*w**2 + 5*w**2) + w**2 + w**2 + 0*w**2 + (2 + 4 - 5)*(0*w**2 + 0*w**2 + w**2).\nAnswer: -1461*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*r + 21, -10*r = 104*h - 109*h - 45 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 386 = 4*a, 4*j + a - 6*a - 785 = 0. Let i = 256 - j. Calculate the remainder when i is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -z - 23, 0 = -2*z + 4*z + 5*s + 61. Let p be (-6)\/3 - 64\/z. Is -2\/7 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 h when three letters picked without replacement from ypypmhyvy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 2*l + 12 = 4*k, -4*k - 3*l + 237 + 222 = 490 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, 5164, -132 in decreasing order.\nAnswer: 5164, -132, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 65\/2762?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*f - 931, 3*j - 5*f - 540 = -0*j. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s - 4, 0 = -4*f + s + 30. Is 4 - 1 - (f - 412)\/1 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j + 30. Let l(t) = -t**3 - 7*t**2 - 5*t + 4. Let h be l(j). Let u(n) = -3*n + 1. Calculate u(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) - 3844832\/(-159). Let s = -2176343\/90 + m. Calculate the common denominator of s and -113\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 + 111360*d**3 - 2674368*d**2 = 0.\nAnswer: -37144, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -78*c**2. Let n(b) = 4*b. Give t(n(v)).\nAnswer: -1248*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 - 7*l - 100. Give w(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -i + 7*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - m - 1 + 2*m**2 - 2*m**3 - 2*m**2. Suppose 8*p = -77 + 213. What is the remainder when w(-3) is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3834553220?\nAnswer: 2, 5, 757, 253273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 10*y + 11. Let p be x(9). Let u = 4 + 0. Suppose -2*g = -p*f - 24, 5*g = u*f - 5*f + 54. What is the remainder when 31 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-11 - (17 - 21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6175 is divided by 6106.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1148, -4, 2, 4, -3 in decreasing order.\nAnswer: 4, 2, -3, -4, -1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 6*s. Let g(r) = 2*r**2 - 5. Let m(y) = 2*y**2 - 6. Let p(l) = 6*g(l) - 5*m(l). Give p(w(b)).\nAnswer: 50*b**4 + 120*b**3 + 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -109513.7815 to the nearest one thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -y + 6, 15 = p - 4*y - 0. Let x = p - -2. Suppose 39 = 3*s + 2*q, 2*q = x*q - 9. Solve -3*a - s - 1 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 2 - 2 + 13*i - 3*i**2 + 8*i**2. Is r(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12244129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 598399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005995887.\nAnswer: 7, 53, 79, 68443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403 + 738. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 5*q - 7. What is u(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 22011010?\nAnswer: -22011014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(396)*-5 + (-2 + sqrt(396))*-5 + -2.\nAnswer: -90*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)\/z*z\/(z\/(z\/(z*z*z**(5\/4)\/z)*z*z)))**(-48)\/(z**(-1\/2)*z**5)**(-12\/7) assuming z is positive.\nAnswer: z**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 = -3*a - 2*x - 678, -5 = 5*a - 5*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - -14012?\nAnswer: 13731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 - (8 + -38).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17*u**3 + 2*u**2 - 4*u + 5. What is f(2)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.999 times 0.3?\nAnswer: -0.8997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46790 and 7740.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb6 + -2?\nAnswer: -bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjjjjjgjjjjjjjj. Give prob of sequence gg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from eccfeccccfcccce.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -353, -720, -1085, -1448?\n\"Answer: z**2 - 370*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103, -111, -119, -127, -135?\n\"Answer: -8*l - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 3, a: 4, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 2608*m + 4*m**4 + 880*m**3 + 585 + 2616*m**2 + 275 = 0 for m.\nAnswer: -217, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10034 + 16837. Suppose 10*d = 12*d + 3*g - 2716, 5*d - w = -g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -0.2, -5, -8 in descending order.\nAnswer: -1\/11, -0.2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -194*p*q*v**2 - p*q*v + 4*p*v**2 + 4*q*v**2 - 2*q - 28*v**2 - v wrt p.\nAnswer: -194*q*v**2 - q*v + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5216330 and 88 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 6, r: 1, q: 3, x: 1}. Give prob of picking 2 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820488477?\nAnswer: 3, 3761, 72719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*p + 13 + 11 = 0, -2*m - p = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by -1576?\nAnswer: 201\/788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/4207 and 49\/3?\nAnswer: 12621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 4965394?\nAnswer: 4965394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -14239*p**6\/30 - 7*p**4\/6 - 93*p**2\/2 - 9702*p. What is the third derivative of y(x) wrt x?\nAnswer: -341736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooeeoeooo. What is prob of picking 1 e and 2 o?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqi. What is prob of picking 1 i and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27340 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042376 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 - -173. Which is smaller: k or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -620170 smaller than -2512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 9. Let s(n) = 2*n**2 - 3. Let z(h) = -h**2 + 1. Let d(m) = 2*s(m) + 6*z(m). Determine d(l(b)).\nAnswer: -32*b**4 + 144*b**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -33*a + 25*a. Let z = 11 - 8. Suppose -z*i + 119 = i + m, -i - a*m = -26. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 55. Let u be s(-40). Sort 1, -39, u, -1 in ascending order.\nAnswer: -39, -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5\/7 + 10*h**4\/7 + 186*h**3\/7 - 594*h**2\/7 = 0.\nAnswer: -9, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 204709775 a multiple of 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -352160.\nAnswer: 176080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*j**4\/9 + 30*j**3 + 512*j**2\/9 - 56*j\/3 = 0. What is j?\nAnswer: -2, 0, 2\/7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/4 - 2247*p**3\/4 - 4503*p**2\/4 - 2253*p\/4.\nAnswer: 3*p*(p - 751)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: b\"What is the cth term of 3026631, 3026738, 3026845, 3026952?\n\"Answer: 107*c + 3026524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 16. Let q(y) = -3 - 5*y - y**k + 0*y + 6*y**2 + 3*y. Let t(z) = -z**2 + z. Determine q(l) + 4*t(l).\nAnswer: l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 4. Let c(m) = 2*m. Let i(q) = q + 5. Let w(n) = -c(n) + i(n). Calculate 2*t(k) - 3*w(k).\nAnswer: -k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038206901 to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Let h(p) = -p**3 + p**2 + 6*p + 7. Let x be h(s). Which is greater: x or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 25 = -o + 6, 3*o - 5*c - 101 = 0. Let q = 19 - 19. Solve -5*i + 2*j - 19 = -q*i, 4*j = -4*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:45 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**2 + 7*j + 8. Let x be t(-2). Suppose 79 = 7*f - x. Suppose -f*v + 18*v + 26 = 0. What is the greatest common divisor of 104 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 64. Let o be g(11). Let x be 14\/35*o\/7. Sort 2\/7, 4, x in increasing order.\nAnswer: 2\/7, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 306 = -7*n + 153 + 159, 4*n + 8 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = -5*f, -f + 3*f + i = 6. Let m be (-2)\/3 + (-4)\/f. Is (26\/4)\/(m\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*y = -13, -43*y - 57 = -4*p + 43*y - 77*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = -4*d, 5*x + 9 = 3*d + d. Let l(w) = w**3 - 5*w**2 + 4*w - 5. Let t(m) = m**2 - m - 1. Let z = 4 + -8. Let q(o) = x*l(o) + z*t(o). Give q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-5))\/((-36)\/(-18180)). Find the second derivative of 146*n**2 + 4*n - 48 + 24*n + r - 53 wrt n.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 - 6*u. Let h be p(-6). Suppose 4*g - 203 = -3*j, 5*j - 2*g - 347 = -0*g. Let r = j - h. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245724 = 2446*i + 6016 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/4)\/(r*r**8))\/(r**(3\/5)\/r**(-7)) assuming r is positive.\nAnswer: r**(-357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744264 and 108?\nAnswer: 2232792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from eelleeeeele?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15 = -v. Let r = 0 + 9. Let m = r + -7. Solve -5 = -2*x + 2*f + v, -m*f + 12 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 5*i**5 - 2*i**5 + (0*i**2 - i**2 + 2*i**2)*(0 - 2*i**3 + 0).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235490645*h**2 + 212170666*h?\nAnswer: -470981290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 82199 divided by -4\nAnswer: -82199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + -2*(-5 + 3 + (sqrt(147) - (sqrt(147) + -3)**2) + -4) + 4.\nAnswer: -98*sqrt(3) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 - (2 - 0)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(1300) + -4 + (5 + -2 + sqrt(1300) + -3 + sqrt(1300) + sqrt(1300))**2)*-1.\nAnswer: -11699 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 - 18 = -5*u, -2*u = -3*i - 19. Suppose 5*v - 20 = -5*t, -t - 10 = -u*v - 2. What is the least common multiple of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 237*n**4 - 10*n**5 + 479*n**4 - 244*n**4)*(1 + 5 + 0).\nAnswer: -60*n**5 - 12*n**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18532, 1, 2, -410, 3 in ascending order.\nAnswer: -410, 1, 2, 3, 18532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 > -668\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 36. Determine f(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643 - 644. What is the nearest to 0.1 in k, 29\/4, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314*8461.\nAnswer: -2656754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4*2.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/10)\/((-5)\/10). Let l(j) = -j**2 + 2*j - 2. Let t = 6 + -4. Let m be l(t). What is the second smallest value in -5\/6, m, p?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -216, -222, -246, -294, -372, -486?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6441*q - 55. Let g(w) = -6112509*w + 52206. Calculate 5*g(s) + 4746*h(s).\nAnswer: 6441*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = -17 - 79 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6342070.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -6. Which is bigger: -2\/17 or c?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 + 8)*30\/54)\/((-5)\/6) - -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**3 - 2*z + 1. Let r be n(1). Suppose 3*v + r = 6*v. Solve 15 = v*u - 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 3:28 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11543, -46237, -104075, -185051, -289159, -416393, -566747, -740215?\nAnswer: -936791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 912, 1840, 2760, 3666, 4552, 5412, 6240, 7030?\n\"Answer: -u**3 + 2*u**2 + 929*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 19730765\nAnswer: -1\/3946153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maolttgol. What is prob of sequence lmoa?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 59. Let s(a) = 0*a**2 - 7*a**2 - 2*a + 5*a**2 - v*a**2 - 2. Let y(q) = -9*q**2 - 5*q - 5. Give 10*s(n) - 4*y(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 4. Let k be w(-8). Solve -k*c = f - 11, 17 = 5*f + c - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-42))\/(2\/(-102)*1) - -7.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/20 - f**4\/4 + 4*f**3\/3 - f**2\/2 - 2*f. Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 11*c**2 - 11*c + 2681. Let g(u) = -u**3 + 4*u**2 + 4*u - 893. What is -11*g(v) - 4*k(v)?\nAnswer: -v**3 - 901","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.22 + 28.22. What is the closest to -3\/8 in v, 5, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 8846.5.\nAnswer: 8851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (13205\/(-627) - -21)*788\/8?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 - 11 = -3*y. Let r = y + -114. Solve r = 3*s + 2*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 76 = -7*a + h, 4*h = 5*a - 64. Solve 1 = 3*v + a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven quarters of a millennium?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -50303\nAnswer: 704242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 - -0.04. Let s = -7933 - -7930.7. Let v = s + y. Which is the third biggest value? (a) 1 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -807 at least as big as -1180000\/1463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 2\/5 (c) 0.61 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 = -1. Let j(f) = -f + 10. Let u(v) = -v**2 + 7*v - 5. Let y be u(7). Let m be j(y). Solve -3 + m = -h*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28525685?\nAnswer: 5, 5705137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 18. Let d be (-3)\/((-3)\/(-7)) - -2. Put d, 1, t in ascending order.\nAnswer: d, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 4*c + 2375 = -5*r, -4*r - 3*c + 3176 = 0. Let g = 14 + r. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 145 - 99 + l to r + m*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let i be y*2\/(-1) + -3. Suppose 0 = 3*m + i*f - 45, m + 2*f - 1 = 5*f. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 - 3*j**2 - 3. Let w be (-2)\/(-4)*2 + -23. Let b(o) = 15*o**3 - 11*o**2 - 11. Let u be (13\/2*-2)\/1. Let t = u - -19. Calculate t*b(n) + w*k(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t - 2. Determine b(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51414.1 - -51416.100001. Let s = k - 2. What is s rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 - -231. What is the smallest common multiple of 1350 and u?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Suppose -8*d = 14*d - 44. Let m(p) = 163*p**2 - 2*p. Let y(w) = -24123*w**2 + 297*w. Let c(g) = d*y(g) + 297*m(g). Calculate t(c(s)).\nAnswer: 54450*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c. Let s be v(0). Suppose 3*r + s*r - 15 = 0. Solve -4*b + 4 = q - b, 0 = -r*q - 2*b - 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q + 44*q + 4 - 4 to v*q + h and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**11*x\/x**(-9\/2) assuming x is positive.\nAnswer: x**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g = 326*g - 1600. Let o(d) be the first derivative of 4*d**3 - 8*d**2 - 16*d - 8 + g*d**4 + 4\/5*d**5. Solve o(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404426 - 404424.119746. Let o = l - 1.88. What is o rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2327*x**3 + 19*x**2 + 8050*x + 1.\nAnswer: 13962*x + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.849 in 2, -6\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.16671 nanoseconds in milliseconds?\nAnswer: 0.00000616671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 720 = -4*j - 784, 0 = 2*h - 4*j + 14 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -10533 (c) -2\/15 (d) 4 (e) -16\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 687 + 20 = -19*c. Let a(h) be the third derivative of -1\/10*h**6 + c*h**2 + 0*h**3 + 1\/12*h**4 + 0*h + 1\/20*h**5 + 0 + 1\/30*h**7. Factor a(z).\nAnswer: z*(z - 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 - 11*k + 3. Let b be f(-6). Let u = b + -177. Solve u = -d - 2*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.109*1579615\nAnswer: -172178.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 + -0.01. Let y be (0 + 46\/23)*1\/(-2). Which is the closest to 4\/7? (a) -3 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 7. Let g = q + -2. Which is the biggest value? (a) g (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + (5 + 4 + -1*sqrt(1900))*6)*2)**2.\nAnswer: -967680*sqrt(19) + 10301184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 6*z + 26.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 7622\nAnswer: -125\/7622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*d - 4 + 0*d**3 - d**3 + 5*d**4 - 4*d**4 to the form m*d**3 + n + w*d + u*d**2 + b*d**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.97 times -3?\nAnswer: 74.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3245 - 107.\nAnswer: -107.3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -288, -917, -2140, -4155, -7160, -11353?\nAnswer: -16932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m**3 + 5*m**2 + 41*m + 30. Is f(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8816.\nAnswer: 3\/8816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.5 + -8.63. Sort f, -3\/2, -0.2, 0.3 in decreasing order.\nAnswer: 0.3, f, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.529 + -0.171. Let a = p - -49.7. Let l = a + -3. Which is smaller: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626467042 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6252952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -5, -1, -33, -181 in decreasing order.\nAnswer: 4, -1, -5, -7, -33, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9586?\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - w + 2193 = 0, -5*w - 2572 = -5*j + 188. Solve -143 + j = -58*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -10.89. Let l be (-4 + 1)*2\/6. Let k = -597.9 + 598.9. Which is the second biggest value? (a) k (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853346.\nAnswer: 2, 13, 23, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g**2 + 3*g**2 - 2 + 14*g**5 + 2*g**2 + 5*g**2 wrt g?\nAnswer: 840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 2*c**2 - 1 + 308*c**3 - 368*c**3 - 3*c as a + x*c**3 + o*c + n*c**2 and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.29. Let x = -0.14 + i. Let g = x + -2.6. Round g to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88 - -2?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 17. Let j(y) = 9 - 10*y + 8*y + 0*y + 3*y. Let u(c) = -5*j(c) + 2*v(c). Suppose 2*t - 15 - 3 = 0. Give u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1\/24*w**4 + 1\/120*w**6 - 2\/3*w**3 + 0*w + 2\/15*w**5 + 0 + 2*w**2. Let m be c(-8). Is 5 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p**3 + 3420*p**2 - 3409*p - 759. Determine t(379).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*x + 24, -h + 3*x = -0*h + 1. Suppose 48 = -2*k + h*k. What is the remainder when 61 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3968616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.65 + 3.4. Let s = 0.35 - v. Let m = 1.3 - 1. What is the second smallest value in m, s, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 4*b + 2*b**4 + 1 - 369*b**2 + b - 369*b**2 + 743*b**2 to u*b**3 + a*b**2 + z + o*b**4 + n*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -3\/5 (b) -0.078 (c) -5 (d) -0.7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215 - -370. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489074445 divided by 20623.\nAnswer: 23715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*a - 4*j - 208, -2*j - 80 = -2*a. Suppose 0 = -2*s - 2*s + 3*i + 53, -3*s - 2*i + a = 0. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1007*a*p**2 - 278*a*p - a wrt p?\nAnswer: -2014*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**3\/3 - 3*a**2\/2 - 2*a + 2. Let f be v(-2). Calculate the highest common factor of 132 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 6*y + 3. Let z be x(4). What is the greatest common divisor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.2 minus -406741166?\nAnswer: 406741084.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558.67 - 232.\nAnswer: 326.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2266056 and 38736.\nAnswer: 4532112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 20. Suppose -4*y + 3*h + h = -68, -5*y + 4*h = -83. Calculate the remainder when y is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (627\/(-72) - (-231)\/616 - -8)*69.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - 81*n - 233. Give i(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*v - 3*v + 1298 = 0, 2*x - 4*v = 506. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90098.\nAnswer: 2, 19, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f - 30. Let q be s(-2). Which is smaller: q or -4\/269?\nAnswer: -4\/269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17877, 35748, 53619, 71490?\nAnswer: 89361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216) - sqrt(171)*-5 - (sqrt(1216) + 1 + 5))**2.\nAnswer: -276*sqrt(19) + 10087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Suppose 0 = -x - 3*d, 0*x + 14 = 3*x - 5*d. Let b(n) = 5*n**2 + x*n - 3*n. Calculate g(b(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468537 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4))\/((-1)\/(-2)). Suppose -x = z + 12 - u, 2*x = 5*z + 14. Which is the biggest value? (a) 1 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 5 = -12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbqaqqbabgga. Give prob of picking 1 a and 1 q.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 271, 274, 277, 280, 283?\n\"Answer: 3*j + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:10 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1120.2714 in 1, 92, 0.3?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*2*-1 + (1*(sqrt(304)*-1 + sqrt(304) + sqrt(304)))**2 + -3 + sqrt(304) + 3 + -2.\nAnswer: -4*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3108 and -45\/6202.\nAnswer: 1376844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255 - 151. What is the common denominator of 43\/4 and 14\/1*8*q\/5632?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*f = 217*f - 896 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -70, -1, 1, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l + 3. Let i(y) = -8*y + 3. Let j(k) = 130*k - 1176. Let p be j(9). What is p*t(n) + 5*i(n)?\nAnswer: 8*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -0*t + t. Suppose 5*a - p - 578 = t, a = -2*p - p + 106. Calculate the remainder when a is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -904 + 909. Solve -p*f - 11 = a, 2*a = 4*f - 1 + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 30*h, -193*z - 3*h = -196*z - 3 + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 1097, 4, -2 in descending order.\nAnswer: 1097, 4, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7109*m**2 - 9630?\nAnswer: -14218*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**3)\/f)**(2\/109))**43*((f**6*f)\/f)\/f**(-5)*(f*f**(-3\/2))\/(((f\/((f*(f\/f**(-1\/3)*f)\/f)\/f))\/f)\/f) assuming f is positive.\nAnswer: f**(6845\/654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*a**3 + 501*a**3 - 232*a**3 - 5997*a**2 + 5996*a**2.\nAnswer: 66*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26647\/6 - -4459. Calculate the common denominator of w and (290\/(-40))\/((-5)\/3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -720 divided by -120.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Suppose -136 = -6*o + 218. Let t(l) = -11*l + o - 11*l - 59. Calculate w(t(p)).\nAnswer: 484*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**6*j)\/j)\/(j\/(((j\/j**(2\/11))\/j)\/j)))**(-11))**(-41) assuming j is positive.\nAnswer: j**1722","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvrrrtttrrrs. What is prob of picking 1 r and 1 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 2 - -6 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1129.\nAnswer: -112.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2057) - (sqrt(2057) + 0 + sqrt(2057)))*3 + -5)**2*6.\nAnswer: 1980*sqrt(17) + 111226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 17*c**3 - 9*c**2 + 30*c + 21. Let z(l) = 4*l**3 - 2*l**2 + 7*l + 5. Let d(v) = -2*w(v) + 9*z(v). Determine d(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223 + 225. Let h = 5 - 8. Let r be (8\/(-12))\/(16\/(-6)). Which is the closest to h? (a) 1 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 5*b**2 - 6*b + 6. Let d be u(3). Suppose -60 = 9*l - d*l. Let y = -12 - l. Solve 3*i + i + y = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from oqoooqqqqooqqoqooqo.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-355 - -349)\/(1 - (-106)\/(-108)). What is s rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**2 + 3*r**4 + 7*r**2 + 2*r + 7*r**4 + 7*r**4 + 24*r**4 + (2*r**3 + 3*r - 3*r)*(r + 2*r - 4*r) + r**4 - 3*r**4 + 3*r**4 - 5*r**4 + r**4 - r**4.\nAnswer: 35*r**4 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and 2361368?\nAnswer: 2361350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaj when three letters picked without replacement from afftjaff.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 19*q. Suppose q = 4*k + 7 + 37. Is 128 - 0 - (k + 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5562 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.96 - -23.251. Let u = t - 21.5. What is u rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 62.8613.\nAnswer: -25.14452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 817587 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.27 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 56*t - 14. Let d(m) = 19*m - 5. Let y = 894 + -908. What is y*d(i) + 5*o(i)?\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0699 + 0.0801. Sort y, 1, -11, 5, -3.\nAnswer: -11, -3, y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 0. Let v = -1.2 + l. Round v to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64405 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/4 + 14*s**3\/3 - 18*s + 1396. Calculate b(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 14*w - 80 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(44)\/((sqrt(72) - sqrt(72)*-5) + sqrt(72)))\/(-3*-4*sqrt(1584)).\nAnswer: -sqrt(2)\/1512 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by 256490?\nAnswer: 51\/51298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25 - ((-4)\/(-4) + -4). Let t(o) = 29*o + 5*o**3 - 22 - q*o**2 - 4*o**3 - 15. What are the prime factors of t(27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124020 and 14183?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 39 = 171*o - 168*o, 5*x - o = 25. Put -3, x, 95 in descending order.\nAnswer: 95, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -9. Calculate the remainder when ((-10)\/l)\/((-1)\/(-21)) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101101000101100010010 (base 2) to base 14\nAnswer: a78d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 66352*s + 66354.\nAnswer: -2*(s - 1)*(s + 33177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 100*i + 45. Let h be b(0). Solve -35 = h*r + 145 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*r - 20, 11*u + 125 - 25 = 3*r for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 10. What is the tens digit of p(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -95*v + 101*v - 1. Solve -4*a = -75*o + 78*o + 16, v*o - 5*a = 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1018 - 1025. Let b(q) = -3*q - 25. Calculate b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 18. Let k(o) = 4. Let p(r) = 2*h(r) + 9*k(r). Let z(f) = -f. Calculate p(t) - 4*z(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*b - 804 - 426, -714 = -3*g - 3*b. Let s be -5 - (-1)\/(45\/g). Let 8\/5*y**2 + 4\/5 + s*y**3 + 2*y = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.171 - 51. Let h = 0.171079 - v. Round h to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((sqrt(60)*-1)\/sqrt(3))\/sqrt(4) - ((-2 + 0 + sqrt(5) - (sqrt(405) + -1)) + 4)) + -5)**2.\nAnswer: -140*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26140 + -26107. Solve -49 = k*b + 149 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-8 + -10)) + (4 - 5 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010100011 (base 2) to base 11.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(10)*-5)\/sqrt(5).\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 2 = 13*o. Let z(i) = -13*i**3 + 6*i**2 + 3*i - 4. Let p be z(-4). Suppose 0 = -5*d + 2*k + p + 1331, 3*d - 1350 = -o*k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2312)\/(-119) + -10)\/((-1)\/(-7)). Is 66 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*h**3*r**2*x + 2*h**3*x + 4*h*r*x - 2*h*x + 106*r**2*x - 1386*r wrt r.\nAnswer: -178*h**3*x + 212*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 237\/(-158)*-14*2\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (392\/(-12103))\/((-26)\/169)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 251 - 20*l.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126205, -126202, -126197, -126190, -126181, -126170?\nAnswer: -126157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 8. Let o be d(6). Find the second derivative of i - 5*i**4 + o*i**4 + 7*i wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(1\/86) assuming l is positive.\nAnswer: l**(-1\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 164 in ascending order.\nAnswer: -4, 7, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1610 and 170690590?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + k + 271 = -0*k, 4*k + 112 = -2*r. Let p = -33 - r. Suppose -7 = 9*u - 61. Calculate the smallest common multiple of u and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -27\/4 in decreasing order.\nAnswer: 3, -0.1, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 3*k**3 - 10 - k**2 - k**4 - 2*k**2 + 12*k**3 + 3*k**3 to the form w*k**3 + r*k**4 + z*k**2 + y*k + s and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**3 - 2*b**2 - 2*b - 1. Suppose -61 = 4*k - 5*k. Let t = k - 62. Determine c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189131037 is divided by 870.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = 3*c, -w - c = -6*w + 15. Suppose -w = 17*f - 18*f. Suppose f*m - 167 = 2*m. List the prime factors of m.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004482 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 79*u**2 - 4*u - 7. Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4725.91 + 4753. Round n to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:46 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/360 - i**3\/6 + i**2. Let f(z) be the first derivative of p(z). What is t in f(t) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 2196.8.\nAnswer: 6590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/15 (b) 1\/5 (c) 11\/20 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 113. Let c be 11\/(o\/49) - -7. Solve -4*y + 14 + 2 = c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5\/6, 0.5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 8*z - 4. Let b be m(-9). Suppose 0 = -2*g + 13 + b. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92158 + -3594161\/39. Suppose 0 = 2*g - 2 - 4. Let m = 3 - g. Which is greater: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 8885569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 142*t - 269. Let h be p(44). Let j = h - 2333. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 2, q: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 45. Let j = 28 - x. Let c = j + -2. What is the remainder when 32 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93984 divided by 6?\nAnswer: 15664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 + -308. Suppose 4*r - 34 = 38. Calculate the smallest common multiple of r and f\/7 - ((-20)\/(-35))\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1 + 5*(-49764)\/24940.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 1b0?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138767.\nAnswer: 193, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - h - 3909 = 1073, -2498 = -p + 4*h. Calculate the remainder when p is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2474, 5210, 7946, 10682, 13418?\n\"Answer: 2736*d - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -49*z**2 + 7*z + 1. Let r(n) = -73*n**2 + 10*n + 2. What is -5*r(i) + 8*u(i)?\nAnswer: -27*i**2 + 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4961.23 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 838 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*l - 5*n - 29 = 220*l, -10 = 2*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let d(p) = p. Let v(i) = -d(i) + 2*t(i). Suppose -2*x - 2*m + 7*m = -21, 4*x - 5*m = 27. Suppose -3*a = 4*k + 21 - 0, x*k = -9. What is v(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 216*a + a**2 + 0*a**2 - 192 + 96 to the form v*a**2 + n*a + o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 1615 - 1594 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828*r + 824*r + 224 = 0. Suppose 12*x = 5*x + r. Let v(y) = 2*y - 21. Determine v(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let f(i) = 44*i**2 - 5*i + 5. Let p(b) = -66*b**2 + 8*b - 8. Let x(o) = -8*f(o) - 5*p(o). Calculate x(r(j)).\nAnswer: -198*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60235 + -51?\nAnswer: 60154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -102. Let w be -4 - j - (0 - 0). Calculate the greatest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14649 (base 10) in base 12?\nAnswer: -8589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:03 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) - sqrt(5000)*1)\/(5*sqrt(10)*4 + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7815162 take away 11265?\nAnswer: 7803897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 5*z - 36 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24318.8 - -24326. Let i = 7.4 + -0.1. Let n = u - i. Which is the biggest value? (a) 4 (b) -5\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -11. Suppose 145 = 5*o - 3*d, -2*d + 16 = 3*o - 2*o. Calculate the remainder when o is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 752\/(-144) + 2\/(-36)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 78*w**2 - 5*w + 1. Let k(y) = -234*y**2 + 15*y - 3. Let m(v) = -8*d(v) - 3*k(v). What is the second derivative of m(z) wrt z?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5165375 is divided by 3290.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m - 692 = 0. Let t(i) be the first derivative of 173*i - 9 - 7*i**2 - m*i. Let b(g) = -2*g. Determine b(t(r)).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 20. List the prime factors of 8 + (4 - t)*-2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*b + 3*b**2 + 22*b + (0 - 1 - 6)*(b**2 + 3*b**2 + b**2) + 0*b**2 - 4*b**2 + 5*b**2.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 29 = -5*p, 4*s + p + 3*p - 36 = 0. Let t be (6 + s)*2\/2. Solve -t*w = -12*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10 = 2*r, 2 = -165*r + 163*r - 5*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66997*c + 30782*c + 32101*c + 1 - 1.\nAnswer: -4114*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*a + 18 = 685*a. Put -0.1, a, 32 in descending order.\nAnswer: 32, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.3734ml to litres.\nAnswer: 0.0863734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = -2*w, -i + 10 = 4*w + i. Solve 0 = -0*z - w*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-5992)\/224 - -26). Determine d so that -9\/4*d**2 + 0*d + k*d**3 + 3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 - 72*k**2 + 78*k - 20.\nAnswer: -2*(k + 10)*(2*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, -3, -10, -4 in decreasing order.\nAnswer: 26, 4, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkekdekkdkddkedk. What is prob of picking 2 k?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1529446 + -22895.9.\nAnswer: -1552341.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*-3*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-794)\/(-4367)*22*8. Solve 0 = 36*h - y*h - 5*b + 9, 4*h = -3*b + 31 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 353, 1343, 3317, 6605, 11537, 18443, 27653?\nAnswer: 39497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*j + 140 = -693*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -z - 5, 2*z + 3 = -l. Which is the closest to l? (a) -4 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4422 + 2357. Calculate the remainder when 409 is divided by (2\/(-10))\/(7\/c).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 26*t**2 + 260*t - 437. Let n(r) = -14*r**3 - 184*r**2 + 1822*r - 3058. Let a(l) = 10*n(l) - 68*w(l). Suppose a(j) = 0. What is j?\nAnswer: -24, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(242)*5 + sqrt(242))**2 + -2 - ((sqrt(2) - (-5 + sqrt(2) + (sqrt(8) - sqrt(2))))**2 - sqrt(2) - sqrt(32)*-1).\nAnswer: 7*sqrt(2) + 3843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110023, 220235, 330447, 440659, 550871?\nAnswer: 661083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 612.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20 and -719.29?\nAnswer: 699.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -5228*w**7\/7 - 1082*w**3 - 8045. What is the third derivative of c(m) wrt m?\nAnswer: -627360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*87.71.\nAnswer: -26.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466225 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124331 (base 5) to base 7.\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22297 and 89188.\nAnswer: 89188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = 0, -3*p + 24 = 4*r. Let k = -325 - -346. Calculate the remainder when k is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. Suppose 3*o + 3*l = 6, 5*l = 2*o + o - q. Suppose 2*u - o = d - 17, -3*d - 3*u = 0. Solve 0 = d*c - 3*p + 15, -p - 3*p = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 4*v - 2. Let u(m) = -m. Calculate the remainder when r(-1) is divided by u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19985*d**2*f + 330867*d**2*g**2 + 13*f*g**2 wrt f?\nAnswer: -19985*d**2 + 13*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thxccaar. Give prob of sequence rx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + -14 + 0 + (-10 - (-21 + (-47 - -43)))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q - 5*a, 2*q + a = -2*q - 4. Suppose -26 = -4*u + 10. Let x = u + q. Solve 4*c + 3*d + 15 = 0, 0 = 3*c - x*c + 5*d - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130) + (sqrt(130) - -2*sqrt(130)) + sqrt(130)) + sqrt(130) - sqrt(130)*2*-3)\/(sqrt(20)\/(sqrt(2) + sqrt(16)\/sqrt(32))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9367\/2443 + -8\/349. Calculate the common denominator of 157\/30 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13215047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(48\/(-47)) - 8\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 23 + 6*k - 6*k - k**2. Let r be w(0). Suppose -32 = -4*x + u + 29, 0 = -2*x - u + r. What is the remainder when 41 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*1*-5.\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7565 and 930920?\nAnswer: 82851880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/2*(-31)\/(-4))\/(-3). Let v = 23\/6 + w. Calculate the common denominator of v and 59\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/195, -0.05, -4, 234\/29 in increasing order.\nAnswer: -4, -0.05, -2\/195, 234\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*1*sqrt(119))\/((sqrt(7) + (sqrt(7) + (sqrt(63) - sqrt(7)) - sqrt(7)))*-4))**2.\nAnswer: 85\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyw when three letters picked without replacement from {y: 1, f: 1, w: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -875057*j**2 + 4121323*j wrt j.\nAnswer: -1750114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1674)\/418 + 4). Let v = j + 145. Let x = 130 + v. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 1, p: 3, b: 3, m: 3, x: 3}. Give prob of picking 2 b and 1 p.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 99.6. Which is the closest to -0.1? (a) 1\/5 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 35\/4*g**4 + 25*g + 2 + 25\/2*g**2 + 25\/3*g**3. Let f(c) = 3*c**3 + 2*c**2 + 2*c + 2. Calculate 25*f(j) - 2*s(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + x**2 - 25*x**2 - 8*x**2 as p + o*x + k*x**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.6, 3, -0.2, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {r: 1, x: 2, v: 2, y: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(0 - 1 + 3)*(2*t**3 + 170*t**3 - t**3) to the form m*t + n*t**3 + j + h*t**2 and give n.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 302 + -2?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1061 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014310 at least 1014290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2471887*z**5 + z**2 - 1022740*z?\nAnswer: -148313220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p - 744*p + 321 = -391*p + 14188 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/8 (b) 0.2 (c) 4 (d) 0.1 (e) -0.016 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -2328) + (-4)\/((-16)\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 9*z + 4. Let c be t(-10). Suppose -a = -2*v - c, -3*a = -8*a + 3*v + 70. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5305.21677ms?\nAnswer: 0.000008771853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -985 - -975 - (-2 + -1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*b - 16, -3 = 2*b - q - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3 + 0 + 2 - 1 + (-1 + 4 - 1)*(-1 - 1 + 1) + 15 - 9 + 7)*(3*h - 4*h + 7*h) to v*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 27*a**2 - 51*a + 16. Give i(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -282234 divided by 8301?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -2) + 1 + 1 + -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -216 times 0.13\nAnswer: -28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -420\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -171 - 4*v**4 + 89 + 4*v + 85 - 2*v**2 in the form q + z*v**4 + x*v**2 + g*v + w*v**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*v + 234 - 96 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -583*j**4 - 9*j**2 - 37*j wrt j?\nAnswer: -13992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311554 + -4569.\nAnswer: 306985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/8 of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:35 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -12*w**4 + 2*w**5 + 48*w**3 - 24 + 12*w + 30*w**2 - w**5 - 4*w**5 - 51*w**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 8:55 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**7\/140 + 7*m**6\/360 - m**5\/40 - m**4\/8 + 8*m**3 - 2. Let z(r) be the third derivative of i(r). Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*z = -70, -3*z - 12 = d + 2. Is d at least -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 154, -1\/9, -6\/1255?\nAnswer: -6\/1255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 814*i - 35. Let g(s) = -s**2 - 272*s - 13. What is 8*g(p) - 3*j(p)?\nAnswer: p**2 + 266*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120201010 (base 3) to base 8.\nAnswer: -326452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m**3*v + 2*m**3 - 21*m**2 + 68*m - 1895*v**4 wrt v?\nAnswer: 5*m**3 - 7580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70.62 - 173.38. Which is the closest to -3\/8? (a) x (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 16 = 4*n, 0 = 6*v - v - 20. Suppose 7*d + n - 387 = 0. Calculate the lowest common multiple of 42 and d.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*k + 47 - 5, 5*k = 3*q + 103. Suppose -c = 2*c, 3*s - 4*c = 30. Calculate the remainder when k is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433511.\nAnswer: 13, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 1 - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7 = 3. Suppose k - 3*k = 4. Let z be ((-2 - k) + m)\/(-3). What is the second biggest value in 2\/3, z, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18690 * -0.5\nAnswer: -9345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccsssc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqvi when four letters picked without replacement from iqvifqqwwifwffz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 0*g**2 - 2*g**2)*(-1 + 5 - 2) + (-5 + 2*g**2 + 5)*(-1 - 4 + 4) + 91 + 2*g - 50*g**2 - 61 - 62.\nAnswer: -48*g**2 + 2*g - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 1 = -3*h, 8*h - 8*u + 4*u - 40 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -53 + 8. Let j be 1\/2*(9 - a). Let n be -2*1\/(-1) - 2. Is j bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50450450 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-12)\/8)\/(12\/(-728)). Suppose 4*f = c + 562, 4*f - c - c = 564. Let w = f - m. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 845*0.23687.\nAnswer: 200.15515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 - 5*o**3 + 1 + 3*o**3 - 22*o to the form w*o**2 + g + t*o**3 + c*o and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -224, -375, -556, -779, -1056, -1399, -1820?\n\"Answer: -2*m**3 - 3*m**2 - 128*m - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 4. Let b be k(3). What is the remainder when 6\/4*-1*b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/20 + a**4\/12 - a**3\/3 + 4*a. Let g be (-55)\/(-2) + (20\/(-8) - -4). Let t = g + -27. What is d(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-8)\/(-4) - 0). Let h(t) = 1000*t**2 + 985*t**2 - 1975*t**n. Let o(q) = 0*q + q + 2*q. Give o(h(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40922320 and 15936.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 1245178. Let r(g) = -g. Give r(d(o)).\nAnswer: -2*o**2 - 1245178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a651 + -282?\nAnswer: 3a38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 29*w - 84. Let f be b(32). Do f and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-247)\/(-3) + ((-4)\/6)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10 - 17\/2. Let h = k - -13. Suppose -3*y - q = -76, 3*y - 84 = -h*q + 2*q. What is the remainder when 45 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**3 + 6*m**2 - 75*m - 150 = 0.\nAnswer: -5, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -5 - (0 - 6 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 56*t + 449. Let d be o(10). Suppose j - 3*j = -10. Let k be d\/33 - j\/6. Is k less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x = -21*x + 8, 2*d - 12 - 2 = 7*x - 9*x for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -4\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16518541 or 16518542?\nAnswer: 16518541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11021 (base 3) to base 12\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4113 times -117\nAnswer: -481221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13665249 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-512)\/(-224))\/(6\/(-12)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -72*d**2 - 63*d + 63. Let v(l) be the third derivative of -l**5\/60 - l**4\/24 + l**3\/6 + 165*l**2. Give 2*j(c) - 126*v(c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in -0.08896, 5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)*m*m**(-1\/8))\/(m**(-3\/5)\/m)**16 assuming m is positive.\nAnswer: m**(7373\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + n**2 + n. Let w(h) = 3*h**3 + 2*h**2 + 2*h. Suppose 12*m - 119 + 47 = 0. Let k be (m\/(-2))\/((-4 + 6)\/2). Determine k*w(p) + 6*y(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14631784, 29263582, 43895382, 58527184?\nAnswer: 73158988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2))\/(r\/r**(-4))*r\/(r*((r*r*r**1*r)\/r)\/r)*r*r\/(r*(r\/((r*r**(-3\/2))\/r))\/r))**41 assuming r is positive.\nAnswer: r**(-287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10\/(-4 + 9\/2) and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 4:15 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + q - 2*q)*(2*q + 6*q - 5*q)*(3*q**2 - 5*q**2 + 0*q**2) to c + v*q + l*q**4 + n*q**2 + o*q**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 13*h**7\/7 + 5*h**3\/3 + 13. What is the third derivative of k(l) wrt l?\nAnswer: 1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(133) - (sqrt(133)*3 + sqrt(133))))\/(sqrt(77)\/(sqrt(22)\/sqrt(2))) + -3.\nAnswer: -15*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Let m be ((-17)\/(-34))\/(x\/(-10)). Let z = 16\/21 - -4\/7. What is the biggest value in z, -0.5, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/288 and 125\/34668.\nAnswer: 277344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-5 + 2) + (-42)\/3. Let n(j) = j**3 + 15*j**2 - j - 12. Let o be n(c). Solve a = -o*k + 14, 3*a + k - 30 = -12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4804778, 4804782, 4804786, 4804790, 4804794?\n\"Answer: 4*j + 4804774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 68712, 0.1 in decreasing order.\nAnswer: 68712, 0.1, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12892, 13116, 13340, 13564?\nAnswer: 13788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22219.84 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930508.\nAnswer: 2, 482627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 355464 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272538947 and 723?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4.3 (b) 3\/4 (c) -1\/21 (d) 0 (e) -2\/19 (f) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)\/(-2 + 1). Let b be -1*((-16)\/4 - h). Suppose -b*l + 12 = -3*l. Calculate the remainder when 8 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 0*b)*(0*b**2 + b**2 - 2*b**2) - b - 15*b**3 + 17*b**3 + 0*b.\nAnswer: 4*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvdvdvvdvvvvdoovovo. Give prob of sequence odoo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.3 (c) 77302 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/3991610 and 3\/912368?\nAnswer: 31932880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 871.2814 millilitres in litres?\nAnswer: 0.8712814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 6636\/781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 527178 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by 65.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - v + v)*(82815 + 16*v + 8*v**2 - 82813 + 15*v**2).\nAnswer: 46*v**5 + 32*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -479 divided by 36.\nAnswer: -479\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1542 * 63.\nAnswer: -97146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -362, -714, -1064, -1412, -1758?\n\"Answer: j**2 - 355*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -21. Suppose m = -2*p + 13948 + 4390. Let d = -3731 - p. What is d rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 7:28 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.58 at most 16\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -942, -1412?\nAnswer: -1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -17 (c) -1.3 (d) 12 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -40, -75, -124, -187, -264, -355?\n\"Answer: -7*f**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3340*m - 2452 = -3344*m. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 118.8 - 119. Suppose -4*c - 6 - 6 = 0. Put c, -0.5, w in descending order.\nAnswer: w, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 6*h**5\/5 - 39*h**4\/5 - 267*h**3\/5 + 984*h**2\/5 - 684*h\/5 = 0.\nAnswer: -6, 0, 1, 2, 19\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = 4*y + 390 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5811 + 8517. What are the prime factors of j?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 v, and 1 r when four letters picked without replacement from irvzrvzrzzzzs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*h**(-2\/21)*h)\/h)\/(h\/(h*h**9*h)) assuming h is positive.\nAnswer: h**(271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -657 < -657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfrodfzzzz. Give prob of sequence ff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46066 + 0.46065967653. Round j to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooofoekekkerrofkmrre. What is prob of sequence kemk?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880442 is divided by 12947?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 23*b**2 + 40*b**2 + 5*b**3 - 13*b**2)*(-65 + 65 + 3*b) in the form s + c*b + l*b**2 + z*b**4 + y*b**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335359210?\nAnswer: 2, 5, 109, 307669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -0.2. Let j = 5 - 5.4. Let d be 1 + 9\/(-6) + 1. Which is the closest to g? (a) j (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 230 - 444 - 5*x + 214. Let a be 14\/8 - (-12)\/48. Let z(l) = l**a - l**2 - 6*l**2 + l**2. What is q(z(w))?\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g = 39*g + 2*y - 10, g - 5*y - 8 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*z**4 - 240867*z**3 - 271276407*z**2.\nAnswer: -4728*z - 1445202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2376602 - 2349006 = -116*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/11 - 48407*z\/11 + 48406\/11 = 0.\nAnswer: 1, 48406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Let q(u) be the third derivative of -u**6\/120 - u**5\/5 - u**4\/2 - 13*u**3\/6 + 7*u**2. Let z be q(-11). Sort d, -1, z in descending order.\nAnswer: d, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s**2 + s. Determine w(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - p**2 - p. Let m = -2 + 1. Let i be o(m). Let u = i - -16. What is the remainder when 49 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 31, 63, 95, 127?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*r - 12 = 0, -2*r + 3 = -h - 3*r. Suppose p - 5*p - 8 = h. Let k be (-3)\/p*(-8)\/(-6). Solve 4 = w - k*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 998, 1973, 2972, 4007, 5090?\n\"Answer: 2*v**3 + 961*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2824 + 2799 = 5*c, 0 = -2*c + 2*b - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a hour in minutes?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**2 + 8. Let m(q) = -5*q**2 + 4. Let w be ((-36)\/(-15))\/(1\/5). Let b be (w\/(-24))\/(((-3)\/(-8))\/3). Give b*k(x) + 9*m(x).\nAnswer: -x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 62*d**2 + 2*d - 194. Let z(j) = -42*j**2 - j + 138. Let w(b) = -5*f(b) - 7*z(b). Determine w(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 2*s**3 - 2*s**3)*(-s - 2*s + 2*s) + 4*s**4 - 11*s**3 + 11*s**3.\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13816313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8 - (-100)\/16. Suppose -m*k = -8*k + 3. Suppose -11 = 4*u - 0*g + k*g, -4*u + 4*g = -24. Solve -5 + u = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21298.\nAnswer: 2, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -3762 + 3788. Let n(s) = -s. Let k be n(11). Let l = k - -15. Which is the third smallest value? (a) -2\/3 (b) t (c) l (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132.7 + 125. Let s = v + 48.7. Let x = s + -41.000082. What is x rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 2. Let y be h(-2). Let s be y\/2 - 1\/1. What is the units digit of 36\/((-4)\/s*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0.5 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0 - 20*z - 1\/6*z**4 - 1\/2*z**3 - z**2. Determine w(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 - 1200*p - 2121. Let a(y) = 3*y**2 + 604*y + 1060. Let f(w) = 15*a(w) + 8*o(w). Factor f(r).\nAnswer: -3*(r + 2)*(r + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(-180) - 11\/55. Let l(g) be the second derivative of a*g**3 - g - 1\/15*g**5 + 0*g**2 + 0 - 1\/12*g**4. Solve l(w) = 0 for w.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**6\/33 - 2*i**5\/55 - i**4\/11 + 4*i**3\/33 + i**2\/11 - 2*i\/11 - 25. Factor s(k).\nAnswer: 2*(k - 1)**3*(k + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*f - 470 = -97*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 10) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9420433.361 rounded to the nearest ten thousand?\nAnswer: 9420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*-2*sqrt(272)*-5)**2 - (-2*3*sqrt(272)*-5*5)**2.\nAnswer: 18360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v)**(-1\/13)\/(v*v*v**(3\/2))**9 assuming v is positive.\nAnswer: v**(-1633\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40795 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from mvvmmv?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194550384104232 - 5?\nAnswer: 194550384104227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -4. Let u be 2 + (-4 + 1)\/(-3). Let y = -0.0333 + -3.9667. Which is the third smallest value? (a) r (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/7 and 2\/3333 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:56 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 0, -3\/4, -2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/((-96)\/14))\/(1\/20). Let a = p + 181\/15. Let t = 1 - 0. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051895 to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 175\/8976 and -139\/144?\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - f = 57, -3*q - 205*f + 200*f - 69 = 0. Sort 4, -2, -5, q, 0.\nAnswer: q, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24750 less than -1571853118?\nAnswer: -1571828368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3255\/2 + (-24)\/(-16) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3774)\/444)\/(2\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -7*i**6\/3 - 18*i**5\/5 + 5*i**4\/2 + 6*i**3 + 2*i**2 - 164. Determine c so that f(c) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-7))\/(-6)*(-3)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose -3*n + v*n = 0. Suppose n = -11*q + 8*q. Solve 3*g - 9 = -q*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/5)*b)\/b)**39)**(-2\/51)\/((b*b*b**(1\/2)*b)**(-24))**(-7) assuming b is positive.\nAnswer: b**(-50032\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/9708 and -115\/19674.\nAnswer: 31832532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 17935*k**2 - 929720*k + 7385140.\nAnswer: 5*(k - 3638)*(k - 7)*(k + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38256 by 297.\nAnswer: -12752\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 6*f**2 + 0*f**3 + f**3 + f - 6. Suppose -380*x + 2280 = -0. What is the smallest common multiple of v(-5) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppnpnpvnv. Give prob of sequence pn.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykzekkkzkyyzw. Give prob of picking 1 e and 2 y.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 29. Suppose -4*t = 5*c - 345, 3*t - 199 = q*c + 77. Suppose -4*w + 926 = -t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let y = -5 - -9. Let i = 63 + -565\/9. Sort i, q, y in increasing order.\nAnswer: i, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 4*d - 198 - 38 + 140.\nAnswer: -4*d - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20*-0.03\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d*d*d**4*d*(d*(d**(4\/11)\/d)\/d)\/d**(3\/10))\/(((d**(-4\/7)*d)\/d)**(-3\/38))**(-1) assuming d is positive.\nAnswer: d**(60111\/14630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8879 divided by -28.\nAnswer: 8879\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 - 7*c. Suppose -4*s + 24 - 4 = 0. Let m(w) = w**2 + 7*w + 5. Let p(a) = a + 1. Let g(z) = s*p(z) - m(z). Give -14*g(h) + 4*v(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.7, -1\/10, -2, 49.\nAnswer: -3, -2, -1\/10, 0.7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = 2*r - 2, 3*r - 3*l - 12 = 0. Let v be 10*((-2)\/5 + 0). Let t = 6 + v. Is r smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5106398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2330011323?\nAnswer: 2330011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -15*n + 10*n - h, -2*h = -n + 20. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + 23 + 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/9934 and -97\/16.\nAnswer: 79472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/25)\/(-3)*10\/6. Suppose n + 2*p - 3*p - 5 = 0, 25 = -3*n - 5*p. Find r such that 0*r**2 - a*r**3 + 0*r + n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkaa when four letters picked without replacement from {k: 7, y: 1, e: 2, u: 4, a: 6}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 860\/(-25)*(-10)\/8*2. Let z = 82 - i. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10)*2*(-6)\/9.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 686\nAnswer: -5\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.3, -0.2835, 165\/293, -1?\nAnswer: -0.2835","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2120*b**3 + 2*b - 813. Let f(z) = 2120*z**3 - 3*z + 813. Let c(n) = -3*a(n) - 2*f(n). Differentiate c(y) wrt y.\nAnswer: 6360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 8*t = 0. Solve -2*o + 0 - 2 = t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/51 - (-1)\/1. Let p = -93.1 - -93. Let k = 0.9 - p. Sort 1\/3, u, k, 0.05 in descending order.\nAnswer: k, 1\/3, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953\/76 at most as big as -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 3. Suppose -3*g = -3, 0 = o + o + g - 11. What is the units digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r - 122. Let p be c(7). Put -7, 5, p in descending order.\nAnswer: p, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 48454 - 2611 = 0. Suppose 9*t - 4*t = 6300. Suppose q + 2*m - 1713 = 0, 5*q + 5*m - t = d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 10. Let g = q + 5.1. What is the closest to 0.4 in -0.4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 15*g - 2. Calculate t(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/2, 79\/4 in ascending order.\nAnswer: -5, -1\/2, 79\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16911929\/8 + -2110857. Let a = i + -3142. What is the common denominator of a and 25\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3363*r + 361*r = -84056 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2911, 6075, 9477, 13129, 17043, 21231, 25705?\nAnswer: 30477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2330, -412, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c**2 - 1139*c - 16774. Calculate f(-15).\nAnswer: -2389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 76*c**3 - 720*c**2 + 76*c + 722.\nAnswer: -2*(c - 1)*(c + 1)*(c + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -12. Let i(h) = -h**3 + 2*h + 0*h**3 - 69 + 0*h + 32 + 40 + 3*h**2. Determine i(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*d - 164*d - 3022*d**2 as h + y*d + t*d**2 and give t.\nAnswer: -3022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-16))\/(9\/36).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, i: 4}. What is prob of sequence siss?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3586400.\nAnswer: 2, 5, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 38*a**2 + 37*a**2 - 84*a**2 - 6 - 28*a**2 to the form p*a**2 + y*a + i and give p.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7139?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 - 330*c + 1336. Give x(4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1. Let i(s) = -25*s**2 - 166. Determine -i(j) - 2*l(j).\nAnswer: 25*j**2 + 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 = p, p = -4*i + 3 + 18. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1100\/(-36)) + (-24)\/(-54). Solve 3*n = -5*z - 5, -25*n = -s*n + z + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*y - 4, -5*t + 4*y = -3 - 9. Let n(a) = a**3 + 1. Let b be n(-1). Sort -5, b, t in ascending order.\nAnswer: -5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -9) + 20 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 153330*t - 10. Let j(l) = 153329*l - 11. Let r(c) = -4*j(c) + 5*z(c). Let n = -22 - -31. Let x be r(n). Round x to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -480 - -485. Solve -8 = -t*j - 4*w, -j - 2*j = -3*w + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -25. Suppose 3*m - q = -4*q + 432, -n = 5*q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o + 229. Let l(v) = -9*v - 108. Give 5*l(m) + 2*z(m).\nAnswer: -9*m - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:02 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 56. Let j = i + -1. What is the second derivative of -j*c**4 + 20*c**4 + 4*c**5 - 13*c**4 - 2*c wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-4)\/(-24)*(-27 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10987 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 1.1. Let p be (2\/(-16))\/((-1)\/2). Which is the closest to l? (a) p (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 1805?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14 and -47\/2507972.\nAnswer: 17555804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 29 = -2*n. Suppose -7*s - 3*k = -10*s + 9, 0 = -5*s + k + n. Suppose -2*o = -s*j - 390, j - 808 + 14 = -4*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbbbkkkkddkbqddl. Give prob of picking 1 k, 2 q, and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002617147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/33)\/i**(-6\/13)*i\/(i**(-10)*i)*(i\/(i*i\/((i\/(i\/i**(-4)))\/i)))\/i)**(6\/11) assuming i is positive.\nAnswer: i**(3022\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 52*k + 1. Let x = -9 + 10. Does 14 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 860307 by -860307.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 4. Let v be n(4). Suppose v = -3*s + 25 + 5. Let w(t) = 6*t - 4. Is 20 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785080.9 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 96 = -2*z. Let a = 487 - z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/4)*z*z\/z**(1\/2))\/((z**(-9)*z*z*z*z)\/z*z**(-15)))**(-35) assuming z is positive.\nAnswer: z**(-3325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116542374847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (100 - 31 - -17)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.23 - -10.13. What is the nearest to v in -1, 2\/7, -3.4, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 932 - 933. Let f be ((-1)\/8)\/((-2)\/(-28)). Which is greater: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.568 - 0.568. Which is the nearest to m? (a) -2 (b) 0 (c) 66 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, -26, 1 in descending order.\nAnswer: 1, 1\/15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -1.62. Let y = m + 0.18. Let r be ((-5)\/6)\/5*-2. What is the closest to r in 3, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4961)\/(-7) + 4\/14.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639442 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + 0 + sqrt(3))*-3.\nAnswer: -27 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -45 + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*w + 20, 2*g + 3*g + 3*w - 28 = 0. Suppose -3*m + 15 = g*u, 4*m - 18 + 3 = -5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 11*b + 7. Suppose -4*g + 13 = -7. Let f be 4*1\/(-4)*g. Is d(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11816 = 6119. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226596\/17 greater than 13329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*y - 29 = -2*y, 2*y + 16 = 3*h. Let t = 13137 - 9348. Suppose -h*c - 1079 = -t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*o**5 + 832*o**3 + 573*o - 63?\nAnswer: 400*o**3 + 4992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*t = 0, 75*t + 10 = 5*o + 78*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/143)\/(1 - (-2)\/(-4)). Which is the fourth biggest value? (a) k (b) -2\/13 (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -8*p**5\/5 + 187*p**3\/3 + 4320*p**2 - 4603. Find the second derivative of o(g) wrt g.\nAnswer: -96*g**2 + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 2064 = -480. Suppose i + t - d = -0*t, -5 = -5*t. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 - 201. What is the hundreds digit of 380 - p - (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*76*(-8 - -7)*7. What is g rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36 (b) -2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, 7, -3 in decreasing order.\nAnswer: 35, 7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/11 + 12\/66. Suppose i = -5*o + 1 + 24. Let l(t) = -t + 4. What is l(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/5 - 3501*c - 1078968\/5.\nAnswer: 3*(c - 5896)*(c + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 235 + -1a55?\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*t**3 - 19*t - 25*t + 39*t**3 + 40*t + 34*t**3 + 4*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*s = 143*s - 1995. What is the greatest common factor of 28 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/72? (a) 0.4 (b) -1\/11 (c) -2\/31 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 24. Let x = g - -37. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-42)*146 + (-70)\/(-490)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 12*x**2 + 26*x - 4. Calculate the remainder when 93 is divided by k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 93719677?\nAnswer: 93719681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 11*m + 20. Let n be a(12). Let w = 35 - n. Calculate the remainder when 53 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 11*v = -17*v, v + 4 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6565389, -6565390, -6565391?\nAnswer: -6565392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -31, -47, -69, -97, -131?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**8\/560 - 13*b**7\/175 + 11*b**6\/100 + 4*b**5\/5 - 127*b**4\/40 + 5*b**3 + 556*b**2. Suppose i(p) = 0. Calculate p.\nAnswer: -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*b - 30*b + 38. Let r = b + -379\/20. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5 - -5) + (43 - 53)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nas when three letters picked without replacement from caeaesaannwc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.052288 millilitres to litres.\nAnswer: 0.006052288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16010 is divided by 1458.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170763*l**2 + 23815*l.\nAnswer: 341526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 5*j**2 + 40*j + 297. What is the remainder when a(-10) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14175 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192 = -9*d + 1219. Solve d*s + 6*s - 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5\/15 + w**4\/6 - w**3\/3 - 76. What is r in c(r) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssj when three letters picked without replacement from {j: 3, h: 1, s: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 663.99971 - 664. What is x rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m - 5*r + 4, -4*m + 5*r - 91 = 0. Let b = 44 + m. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 7239410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -13022 (c) -1 (d) 64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5 - 391664*n**4 + 10*n**3 + 3916640*n**2 - 9*n - 3524976 = 0. Calculate n.\nAnswer: -391664, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 371.4 and 0.5.\nAnswer: 185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 186*q. Let d(c) = -c - 3. Let m(a) = 8*a + 18. Let u(k) = 6*d(k) + m(k). Determine u(t(b)).\nAnswer: 4*b**2 - 372*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 1)*(-285*v**2 - 96*v**2 - 19*v**2).\nAnswer: 2800*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2294213*m**2 + 4588421*m**2 - 2294204*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9190 is divided by 701.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-1)\/(-24)). Let b(a) be the first derivative of -3*a**2\/2 + 12*a + 8. Let o be b(-16). What is the greatest common divisor of x and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = v + 476. Let n = v - 14. Is 6 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 159 - 124 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(99\/(-51)) + (-110)\/330?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 394080 and 1325094?\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -51. Let a = f - 22. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/5797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*((-3 - y + 3)*(y**3 + y**3 - y**3) + 106*y**3 - 68*y**4 - 106*y**3).\nAnswer: 138*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z - 48. Let r = z + -20. Let j be r\/(-1) + 12\/3. Solve 0 = j*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/3 - 4*q**3\/3 - 6*q**2 - 17*q - 2. Solve a(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381680 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -290238*d**2 - 5*d - 12. Let q be w(-4). Round q to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29108279134 and -38.2.\nAnswer: 29108279095.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o + 47*o - 8 = 0. Suppose o*y - 5*r - 177 = y, 2*y - 131 = -r. What is the remainder when y is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:58 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n**3 + n**2 - n + 1. Let q be h(1). Suppose 5 = -2*p - q. Let b = -1 - p. Solve 3*v + 3 = -2*f + 17, 5*f = 5*v + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29080 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (68\/6)\/((-3)\/54*2). Let i be (-2 + 20)\/(-2)*4\/o. Solve 0*f - i*f**2 + 2\/17*f**3 + 8\/17 = 0 for f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2 = -3*w - 0*w, -w - 4*b + 18 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**3 - 6*d**2 - 6*d**2 - 14*d**3 wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11291 and 119?\nAnswer: 191947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 257352 and -0.06?\nAnswer: -15441.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4395 and 88215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3989*u - 2396*u = 2538*u + 23625 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48, 4\/3, -4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -47 (b) 3\/1921 (c) -2\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547473?\nAnswer: 3, 41, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100110313 - 13310?\nAnswer: 100031003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-36)\/(-16))*(-6)\/9\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*o**2 + 3*l**2 + 4*l*o**2 - 75683*l*o - 27424 wrt o.\nAnswer: -2*l**2*o + 8*l*o - 75683*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 20654?\nAnswer: 413.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1854 is divided by 141?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15195249 is divided by 337672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 2*i**3 + 3*i**3 - 1 + 3*i**2 - 2*i**2. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 621.8615 grams?\nAnswer: 0.6218615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*q*z**3 - 2*q*z**2 + 3*q*z + q + 161*z**3 + 14*z**2 - 13809249*z + 2 wrt z.\nAnswer: 426*q*z - 4*q + 966*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 0 - (-5 + 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:41 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 17 - 6 - (-2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 17.5. Put j, -3, 2\/77 in increasing order.\nAnswer: -3, j, 2\/77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 b when three letters picked without replacement from {f: 1, g: 3, b: 4, d: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3469, -3518, -3567, -3616?\nAnswer: -3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.10541 times 171?\nAnswer: 189.02511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304315606.\nAnswer: 2, 7, 17, 1278637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11395395 by -18.\nAnswer: -1266155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-13 + (1 - (3 + -1)) - 26).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 599 + 548 - 4*f + 51 + 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 93. Suppose 5*v - 2 = -2*u + v, -v - d = -3*u. What is the derivative of 9 + 33*r**3 + 6 + 2*r**u wrt r?\nAnswer: 105*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 28*i = 0. Suppose -3*g + 2982 = -4*u, g - 6*g + u + 4953 = i. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -658\/9. Which is the nearest to 0? (a) 5 (b) d (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 7*o + 114*o + 224818. Is o smaller than -1857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288288 - 0.008\nAnswer: 288287.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 605130 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/6705 and -19\/15.\nAnswer: 6705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafcqgicaqcccii. Give prob of picking 1 g, 1 q, 1 c, and 1 f.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -2, 0.3, 11\/2 in descending order.\nAnswer: 11\/2, 0.3, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitiditrbibt. What is prob of sequence db?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*d + d = -2151, 5*q - 2715 = 4*d. What is the highest common divisor of 98 and q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/9 + 8*k\/9 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -118130448 and 1.\nAnswer: -118130447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 5}. Give prob of picking 1 a and 1 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 - 2 - 1043302*z.\nAnswer: -1043302*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 5 + 1 + 6 + p - p**3 - 1. Let z be b(2). Let n(x) = 66*x**2 + 4*x + 2. Does 19 divide n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/40)\/((-10)\/(-32))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 1, a: 2, q: 1, m: 1, z: 1}. Give prob of sequence mfq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 6. Let r be a(3). Is 174\/8 - r\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12912*v - 12881*v + 26057*v in the form g*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by -5\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:58 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -7752, 5, 0.\nAnswer: -7752, -3, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 667*j**2 + j. Let x(h) = -95*h**2 + 60*h - 360. Let r(n) = -3*n**2 + 2*n - 12. Let s(u) = 30*r(u) - x(u). What is m(s(v))?\nAnswer: 16675*v**4 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 15 - 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -70*u - 555. Give l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 < 235620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 2:47 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291\/(-39) + ((-4)\/(-42) - (-9500)\/25935).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8796, -8892, -9156, -9672, -10524, -11796?\nAnswer: -13572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 9.77. Let h = r - -0.23000016. What is h rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -2333, -822?\nAnswer: -822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*p - 16, 0 = -2*a - 3*p - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2) - 1\/(-2). Let r = 226 + -226. Solve -a*x + 12 = -r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - ((-345)\/(-12))\/(-5). Is (23\/(-2))\/(c\/(-12)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 44*q**2 + 1. What is the remainder when l(-1) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 + 33*n**2 - n + 4. Let i be p(5). Which is smaller: 197 or i?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247297.9727617 + 247298. What is j rounded to 4 decimal places?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 77*f + 1414. Let c be i(30). Solve 0 = w - k - 3, -3*w - c*k - 1 = -5*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(2*g - 4*g + 6*g + (0 + 1 - 2)*(-g + 2*g + g) + g - 4*g + 4*g + 5*g + 0*g - 3*g)*(-2*g - 3*g**2 + 2*g).\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/115 and -21\/4462.\nAnswer: 22310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + (-97)\/(-4). Suppose -2*p = -5*c - 31, 4*p - c + 2*c - 29 = 0. Suppose -p*z = -12*z + j. Calculate the remainder when 33 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, t: 3}. What is prob of sequence tdd?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 1 u when three letters picked without replacement from xxhcxorxuxxrr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-11)\/(-9306)). Suppose 290 = 8*g + k. Solve y - g = -4*u - 0*u, u = 4*y - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22908 + 22915. Suppose 0*m + 4 = 2*m. Solve -1 = -m*t - c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 8*i - 9. Give h(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/7 - 16530*f\/7 + 16544 = 0. What is f?\nAnswer: -8272, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -133\/18 (b) 2 (c) -2 (d) -3248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*22416192.\nAnswer: -179329536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97272823 + 25679987639\/264. Let w be 2306*(-1)\/(-16) - 3. Let h = t + w. What is the common denominator of h and 31\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, a: 2, h: 3, m: 4, f: 1}. What is prob of picking 2 s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 1. Let u(a) = -3*a**2 + 4. Let b(x) = -7*i(x) + 2*u(x). Let t be b(-3). Suppose -t = -k + 2. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1641409839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:04 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333021033 - -2?\nAnswer: 1333021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253\/4 + 751\/12. Let m = 0.96 - -0.04. Let t = m + 0. What is the closest to y in 0.2, t, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 565 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19769\/7320 - -1\/1464. Let o = 9846 - 216525\/22. What is the common denominator of m and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.158438 and 18.4?\nAnswer: 18.241562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/170 - (1 - 523598\/17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/13, -22, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 3*u + 2*u**2 - 13*u + 9*u + (-2 + 1 + 2)*(u**2 + 0*u**2 + u**2) + 27*u**2 + 49*u**2 - 112*u**2 in the form a + g*u + v*u**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m - 4. Let q be o(4). Let f = -131 - -131. Factor 0*t**2 + q*t**4 + 3\/5*t**5 + 0*t**3 + 0*t + f.\nAnswer: 3*t**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4887371 is divided by 180998?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**15\/((s\/(s*s*s*s**(-2\/9)*s))\/s)*s**(1\/13)\/(s**(2\/11)\/s*s*s*s) assuming s is positive.\nAnswer: s**(21458\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 - 7*z - 2. Let r be a(-6). Suppose -r*p = -2*p + 32. Let u be 449\/4 + 4\/p. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 - 137*k**3 + 370752*k**2 - 41894398*k - 3 wrt k.\nAnswer: -24*k**2 - 822*k + 741504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, -40\/7, 1687, 0.12 in descending order.\nAnswer: 1687, 3\/2, 0.12, -4, -40\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -22. Let s be (-82)\/(-16) - k - 4. What is the third biggest value in -3, -0.3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + r - 2 + 4 = 4, -3*r = 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7092.9 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -783*q**2 + 392*q**2 + 396*q**2. Let h be 0 + -1 + 7 - 0. Let c(u) = -2*u + h*u + u. Give c(s(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeeereezrrgrez. What is prob of sequence rer?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 + 3753*a = 0. Calculate a.\nAnswer: 0, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1893 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(475) - -3*1*sqrt(475)) - (3 + (sqrt(475) + -1 + sqrt(475) - sqrt(475))*2))**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -138, -271, -416, -549, -646?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + (-1700)\/(-28). Let v = f + -43. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5 + 18225*i**4\/7 + 38202*i**3 + 1090974*i**2\/7 + 102339*i - 17913 = 0.\nAnswer: -853, -7, -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.511 rounded to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/11, 3\/8, 581, 2, 3, 3\/5 in decreasing order.\nAnswer: 581, 3, 2, 3\/5, 3\/8, 2\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12074873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11 - 4*d - 5 - 3. Let k be a(-5). Solve -j - 1 - k = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2810.615 + 1775.71. Let r = c - -1045. Let n = r - 10. Round n to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -1831, -2652?\nAnswer: -3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:26 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68633 is divided by 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166272 and 166272.\nAnswer: 166272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**3 + y**2 + 134*y - 133. Let i be j(1). Suppose -s - 13 = -10*m + 5*m, 5*s - 4*m = -2. Sort -23, i, s in descending order.\nAnswer: s, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 6:03 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -51, -3, -0.134, 119?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3241*j**3 - 9*j + 1638*j**3 + 9*j + 1600*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -2*d + 8, 0 = -d + 5*q + 4. Suppose -b = -d*b - 30. Let h(v) = v**3 + 11*v**2 + 10*v + 20. Let z be h(b). Solve 0*m - z = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77185 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 + 12*x + 15. Let n be t(-7). Let m be (-434)\/n*(7 - 8). Let g = m + 96\/5. Is -4 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 270 = -4*t. Let k = t + 27. Let h = -23 - k. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/30 and -19\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22 = -4*n, 1 = 2*r - 3*r - n. Let l be r\/(-12)*(0 - -3). Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 39 = -12. Suppose 0 = -5*k - 20, q + 6*k = 2*k + f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10011 - -12331310?\nAnswer: 12321233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a60a7 (base 12) to base 3.\nAnswer: 1100100111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l - 29 = 0, -4*o + 72 = -6*l + 2*l. Let k be 1\/(-2) - (-33)\/(-6). Let g(t) = -3*t + 6. What is the remainder when g(k) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13357 + -3581. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.036 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 188, 370, 550, 728?\n\"Answer: -q**2 + 185*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*k + 3, 5*t - 1 = -221*k + 222*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 389598 (b) -0.4 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, 1, 4 in decreasing order.\nAnswer: 4, 1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 146975 and -6.\nAnswer: -881850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5.5. Let u = -0.6 + l. What is the closest to 2 in -1, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*j = 523 - 600 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 2*t**3 - 17 + 17.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7972974211058 and -3.\nAnswer: -2.2027025788942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19ae2c - 2?\nAnswer: -19ae2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/6 - -1\/42. What is the fourth biggest value in b, 0.4, -4\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 - -124. Let y be 725\/z*(-4)\/(-10). What are the prime factors of (4 - y\/15)\/(6\/45)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 22*k - 44. Give y(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 51*l - 181. Let d be 0 + (-96)\/(-120) + (-76)\/(-5). Is 39 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 28 - 20 = n, 2*n - k - 15 + 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 - 237 = 39*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9072 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002140794294 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/81 and 11\/729?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0)*(-4)\/6. Which is smaller: p or -5\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/22 and (-43)\/8*(7929\/(-1593) - -5)?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = -5. Suppose -m*o + 52 = -o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12555025 and 537425?\nAnswer: 6475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by 4?\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 - -10?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*k + 4*k = 12, 0 = 4*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 14. Suppose 6*i = 4*i. Suppose i = -14*o + r*o - 750000. What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*v - 8 = 0, 11*v = 5*w + 16*v - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(325)*-4)**2 + sqrt(325) - (-2 + sqrt(1053))**2*5.\nAnswer: -87 + 185*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4707?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/116 and 1729\/(-936) + (-2)\/(-16).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*p - 31, 3*p + v + 5*v = 3*v + 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from kkdkkkkkkkkkkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.024 + -0.024. Which is the nearest to w? (a) 0.8 (b) 7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545 divided by 939184.\nAnswer: 545\/939184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Let f(i) be the third derivative of -17*i**4\/12 + 4*i**3 + 6*i**2 - 19. List the prime factors of f(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (42\/(-5))\/((-6)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/70 + w**6\/10 + w**5\/60 - 817*w**3\/6 - 7*w**2 + 253*w. What is the first derivative of p(i) wrt i?\nAnswer: -12*i**3 + 36*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 + 5 + (-1 - (3 - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 144*u**2 + 2472*u + 5504.\nAnswer: -2*(u - 16)*(u + 2)*(u + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*v + 6 = 4*v, -4*j - 28 = -4*v. Let d be (-150000)\/3*(j - 18). Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(0*d + 2*d - 3*d) + 2*d - 4 + 4 + 7466137 - 7466137 + 1567*d + (-3 + 2 + 3)*(-2 - 2 + 2)*(d - 1 + 1) + 4*d - 3*d - 2*d.\nAnswer: 1566*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127582 is divided by 567.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-512)\/(-1540)) + -12. Let k(j) be the third derivative of -2*j**2 - 1\/80*j**5 + 0*j + 0*j**3 + s*j**4 + 0. Factor k(i).\nAnswer: -3*i*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19875, 75194, 225349, 517758, 999839, 1719010, 2722689?\nAnswer: 4058294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2. Let p(g) = g - 2651. Calculate t(p(o)).\nAnswer: 3*o**2 - 15906*o + 21083403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 17. Let z be o(-13). Suppose 5*p - 73 = -3*g - g, -z*g + 47 = 3*p. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000732313 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16110)\/(-8592)*78\/65.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*m + 8*m. Suppose 10 = 7*n - m*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287782.\nAnswer: 2, 19, 33889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315706 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*d**4 + 143*d**4 + 118 - 2*d**4 wrt d.\nAnswer: 484*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 65501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/((-392)\/(-12)))\/(6\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-15)\/(-5) + -9). What is the fourth biggest value in 2, -2\/9, 2\/7, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2. Let l(b) = 7*b**2 - 6*b. Let z(t) be the third derivative of -t**5\/10 + 5*t**4\/24 - 3*t**2. Let u(w) = 5*l(w) + 6*z(w). What is i(u(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3458573059.\nAnswer: 3458573062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -89, -198, -341, -518, -729, -974?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 214, 5 in decreasing order.\nAnswer: 214, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631.049 years in decades?\nAnswer: 263.1049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*(-2)\/3)\/2)\/(2940\/(-116424)).\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 61 = -24*x + 38, -5*y - 3*x = -17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 + h**2 + 8*h - 872. Determine c(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615 a factor of 67654725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(3\/(-252)*2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, -1.3, -1.5, 1, 0.2, 2\/5, -47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {h: 1, a: 1, s: 3, e: 5, y: 4, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:26 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 11}. Give prob of sequence gcc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 2. Let p = 0.3 + -0.9. Let j = p - 3.4. Which is the nearest to g? (a) -5\/4 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38059 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 8, j: 2, r: 8}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 - 3*r**4\/8 + 11*r**3\/6 - 430*r**2. Give m(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4082*p - 58495 = 2150*p + 413*p + 220595 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -192*f**2 + 9*f\/2 = 0.\nAnswer: 0, 3\/128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492446.\nAnswer: 2, 3, 251, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78631474*w - 85860348 wrt w.\nAnswer: 78631474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.57, 0.5, 1\/5, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14899438933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 13114?\nAnswer: -13151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30453*d**5 + 1145*d - 6.\nAnswer: 609060*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.72 + 12.18. Let j = v - 14. What is the closest to j in -0.3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(((m\/m**(-11\/3))\/m*m)\/m))*m)\/((m\/m**(-2\/53))\/m))**(-25) assuming m is positive.\nAnswer: m**(-14425\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-648)\/45)\/12)\/(((-858)\/(-20))\/13)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00803288831 rounded to 5 decimal places?\nAnswer: 0.00803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -78. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*z - 1, 5*z - y + 2 = 2*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*l - 5*k, l - 2*k = -l + 14. Let q(o) = -o + 3. Let v be q(l). Solve -u + 30 = -5*z, 5*u + 3*z - 10 = -v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 9*b**3 + 2*b**3 - 7*b**4 - b**2 - b**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -36, -46, -44, -24, 20?\n\"Answer: p**3 - 3*p**2 - 14*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Suppose 0 = -5*l + 5, -2*y = l - 0*l - p. Let g(c) = c**2 - c + 2. Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 24 = -0*h + 3*h, -1 = 2*h + 3*q. Suppose -g = h*g + 5. Is (335\/(-10))\/(g\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*n**2 + 3 - 4.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4 - 3\/2*d**3 + 3\/2*d**2 - 17*d + 0. Let f(n) = 0. What is n?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*a + 30. Let o = -10 - a. Is ((-249)\/6)\/(o\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from naxnddddndaanxndd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/3 (c) 11\/40 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 505962 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153.6 - 154. Let r = -3\/67 - -82\/335. Suppose -3 = -s, -f = -2*f - 4*s + 16. Which is the second biggest value? (a) t (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 746.65165 - 0.05165. Let f = c + -690. Round f to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 + -1708\/9. Let a = 46 + -46.3. Put i, -3, a in decreasing order.\nAnswer: i, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*a - 11, -5*v - 4*a - 33 = -8. Let w(p) = p**2 + 7*p - 8. Let k(z) = z - 3. Calculate the remainder when w(v) is divided by k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4013 - 4819 + 9945 = -9*l + 30*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -291\/8 + 9069\/248. What is the smallest value in x, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let s be (9\/(-12))\/(g\/8). Suppose 5*u - 5 = 0, -5*t - s*u + 15 = -u. Let n(j) = -j - 1. Give n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 - 12. Let t(v) = 32*v + 11. Let c(g) = 12*g + 4. Let n(h) = 11*c(h) - 4*t(h). Calculate n(l(s)).\nAnswer: 24*s**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 9.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*u + 4*q, -3*u - u - q = 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 + 10*z**3\/3 - 4*z**2 - 4*z + 11. Calculate the remainder when x(7) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -346, -361, -392, -445, -526, -641, -796?\n\"Answer: -w**3 - 2*w**2 - 2*w - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-13) - (-7 - (-14 - 0))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/12 + 472\/(-59).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.917 rounded to one decimal place?\nAnswer: 59.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -22402 and 0.2.\nAnswer: -22401.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.24 - 6.24. Let m be 3\/(-6) - 7\/(-2). Suppose 0 = -m*g - 2*g. Which is the second smallest value? (a) 2\/13 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -9738a06?\nAnswer: -9738a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 17*p**3 + 11*p**2 - 4*p. Let n(w) = 8*w**3 + 7*w**2 - 2*w. Let c(d) = -7*n(d) + 3*x(d). Find the third derivative of c(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + -1110202011022?\nAnswer: -1110202012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 37 - 5 = 0. Calculate the greatest common factor of 98 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12489*j. Let i(m) = 4004*m. Calculate a(i(v)).\nAnswer: 50005956*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 - 235 = 9*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90*1\/4)\/((-1)\/2). Let y(k) = -4*k**2 - k - 2. Let p be y(3). Let c = v + p. Solve c*o + o = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14235*m - 2 - 14236*m + 7 + 0.\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.327554432 to five decimal places.\nAnswer: 0.32755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -10*h**3 - 6*h**2 - 11. Let a(g) = g**2 - 11*g + 20. Let o be a(9). Let k(z) = -2*z**3 - z**2 - 2. Give o*c(v) - 11*k(v).\nAnswer: 2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476.495711 rounded to 1 decimal place?\nAnswer: -1476.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141.00002 + -141. What is z rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*o + 209 = -27, -2*o = 3*g - 724. Suppose -2*y + i = -219 + 59, -g = -3*y - 2*i. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * 890368.\nAnswer: -302725.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 84 = 4*r. Calculate the smallest common multiple of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -13*u - 31. Suppose u*q - 19 = l + 68, 0 = -5*q - 5*l + 195. What is the greatest common divisor of 105 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 1)*(k**2 + 2*k**2 - 5*k**2)*(1 - 1 + k) to m*k + n*k**3 + v + d*k**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 534.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1012223 - 45?\nAnswer: -1012301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 12, s: 1}. What is prob of sequence sk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4732, -4731, -4730, -4729, -4728?\n\"Answer: h - 4733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-917190)\/(-105) + (-3)\/42*4\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3297650 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + (3 - 0) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-4)*v))**13\/((v**(2\/7)\/v*v*v)\/((v\/v**(1\/4))\/v)) assuming v is positive.\nAnswer: v**(-2227\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5525 + 1?\nAnswer: -5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/1008 + 8*f**7\/315 + 41*f**6\/180 + 8*f**5\/9 + 133*f**4\/72 + 20*f**3\/9 + 78*f**2 + 20*f. Factor o(m).\nAnswer: (m + 1)**3*(m + 5)*(m + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.4, 1, -7, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**5 - 2*m**5 - 5*m**5)*(8 + 6 - 3 + (2 - 2 - 1)*(-1 + 5 - 3) + 19 - 33 + 20).\nAnswer: -176*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-28)*h*h**(-15)*(h\/(h\/h**(-3\/7)))**(-45) assuming h is positive.\nAnswer: h**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8875\/20692 + -1\/2956. Suppose 2*z = 2*f + 6, 2*z = -3*z - 4*f + 15. Which is the third smallest value? (a) -0.5 (b) z (c) u (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-561)*(6\/(-39) - ((-180)\/(-351))\/1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 4*q + 22 = 0, 0 = 5*q - 20. Let d be c\/2*-1 - -7. Suppose t - 31 = d. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*3\/(15\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*s - 14*s - 12*s to the form q*s + v and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/910 - 837\/910. Which is the smallest value? (a) 1 (b) -16 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 10\/11 (c) 0 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5 = -60*u + 58*u, 0 = 5*u - 2*p - 41 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -10, 3, 1, 0 in increasing order.\nAnswer: -100, -10, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(17) + sqrt(17) + -4 + (sqrt(1377)*-2 - sqrt(1377))**2 + sqrt(1377) + -2 - (-1 + sqrt(17) + 0 + 1 - (sqrt(170)\/(sqrt(10)*1) + 1)).\nAnswer: 11*sqrt(17) + 12391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 3*q - 5. Let s(h) = h**2 + 5*h - 6. Let u be s(-6). Suppose 2*a - 5*a = -36. Suppose u = -7*t + 4*t - a. Calculate c(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - -245311?\nAnswer: 245225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 14. Let x(f) = 4*f + 13. Determine 5*j(p) + 4*x(p).\nAnswer: p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-16))\/(12\/(-160)). Suppose u*p + 75 = 335. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -34*t**3 + t**2 + 56*t - 55. What is c(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3177.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/26*8\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - -2 - (453 + -476 + 28 + 2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 6*x**2 - 2*x - 7. Let n be z(-6). Suppose -2*j = -2*b + 2*j + 110, 3*b - 121 = -n*j. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 + t**2 - t + 1. Let c be h(1). Let v(k) = c*k + 1 - 3*k + 1 - 3. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2543804342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*4*(sqrt(288) + sqrt(288)*-1 + sqrt(288)) + -5)**2*6 + 2.\nAnswer: 14400*sqrt(2) + 691347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138161702 + 4*p**2 + 1138161702.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-3) + (-2 - 0). Suppose -3*j - 18 = -n*m + 7, 3*m + 4*j = 50. Let q(a) = -a**2 - a + 10. What is the least common multiple of m and q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119.00057 + -119. Round c to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(343)*-2 + (sqrt(343) - (sqrt(343) + -1))*3)**2.\nAnswer: -1176*sqrt(7) + 8526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7867764 (base 10) in base 8?\nAnswer: 36006564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*r = 305 + 2156, 3*r + 6166 = 5*q. Is q a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*o = -795, 395 = 2*s + 4*o - 19. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 - -3. What is the second biggest value in 1, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1454 = 158*z - 1706. Suppose 3*x - 4*x + 4*n = 6, -52 = -4*x - 3*n. Let c(h) = 3*h - 14. Calculate the smallest common multiple of z and c(x).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1011, 2514, 4577, 7200, 10383, 14126?\nAnswer: 18429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5, -26, 3 in decreasing order.\nAnswer: 5, 3, 2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-120*(-74)\/(-1443))\/((-10)\/65)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 173*p - 72. What is the tens digit of d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 143 - 561. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 762951628 and 6212.\nAnswer: 6212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3384610 - 3?\nAnswer: -3384613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by (2 - 1) + -4 - (29 + -59)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 9:29 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-175))\/((-2)\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 94*j**2 - 2*j. Let p(g) = -16*g. Give o(p(i)).\nAnswer: 24064*i**2 + 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53960 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/(18\/1)*3*(-4)\/24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -62*c + 4280. Give f(69).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8317567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:48 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-16 - ((-378)\/49 - -7)*25).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**25\/a**(-2\/3) assuming a is positive.\nAnswer: a**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -662 in 3, 2\/3, 0.3, 0.2, -0.7, 2\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 3. Let d be n(4). Find the second derivative of 0*a**5 + 8*a - 6*a - a**5 - 6*a**d wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16043525 or 16043524?\nAnswer: 16043525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -216?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1663 + -944. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*v - 1. Let u be (9 - 3)*1 + -2. Let j = u - v. Solve -4*n - 18 = -y, -n - 5*y = j + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*v + 2 - 4 = 0, 0 = -u - 5*v + 19. Suppose -u*m + 6 = -6. Suppose 4*o = m*o + 15. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 6 - (-8 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*f**4 - 2235*f**3 + f**2 - 245818*f - 1?\nAnswer: -876*f**2 - 13410*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*x - 4605 + 3265 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 9, -1\/5, 14, 0.0352 in decreasing order.\nAnswer: 14, 9, 0.0352, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 25 + 89 - 254 - 2*q.\nAnswer: -2*q - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 199*s**2 - 7 - 29 - 1 - 49*s**2.\nAnswer: 150*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/33 + 81*p**2\/22 + 267. Factor q(c).\nAnswer: -c*(c - 81)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = -21. Sort r, 4, -3 in descending order.\nAnswer: 4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 53. Let q = -2 - u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466570 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 147 * -0.3\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q + 2*b = -601, -361 = -3*q + b. Suppose 0 = -3*k + t + 542, 5*t = 3*k - q - 441. Let d = k - 60. Round d to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:19 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from xloxoxlolxlloxqlll?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djdjjdj. What is prob of sequence jjjd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 11*m**3 + 3*m**3 - 15*m**3 - m - 13 to the form j*m + f*m**2 + b + n*m**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18230 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600633 and 14179.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:10 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*z + 1183 = 1278, 2*p + 57 = 3*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003592 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-22))\/((-21)\/140)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*z + 71*z - 91*z - 59*z + 3 - 5*z.\nAnswer: 281*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 25589*p + 102368. Give v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - 89. Let g be -2*(-4)\/28 + n\/(-7). Let x(w) = w**3 + 6*w**2 - 6*w - 9. Determine x(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rijw when four letters picked without replacement from rrnvijvjrjnwnvwr.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12199 times -254?\nAnswer: -3098546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2*n + n)*(-13 - 26 - 5)*(3*n + 3*n - 4*n) in the form b + z*n**2 + i*n and give z.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2\/7 - 2762624*t\/7 - 394660 = 0.\nAnswer: -690655, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)\/((-7)\/(-2)). What is the nearest to 0.1 in -3\/7, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j. Let p(s) = s**2 - 8*s + 8. Let l be p(7). Suppose -5*m + j*m - 5*v = -20, m - 2*v = l. Solve -5*u + 2*u - 2 = -f, 0 = -m*f + 4*u - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose v + 6 = 3*t - 1, v - 2*t + m = 0. Let i(a) = 0*a**3 - a**3 + 5*a + 2*a**2 - a - v*a**2. Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 - -125. Let o be t*(15\/3 - 4). Let j be (-264)\/143 - (o - (0 + 1)). Is -1 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 - i + 2. Let t be b(-2). Let -9 + t*r**2 - 6*r**3 + 9 = 0. Calculate r.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8890, -5533, -2176, 1181, 4538, 7895?\n\"Answer: 3357*h - 12247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 2924996?\nAnswer: 114074844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21453, -91674, -210661, -378414, -594933, -860218?\n\"Answer: -24383*y**2 + 2928*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Suppose 0 = -p*z + 5*i + 25, 4*z + i + 5 + 0 = 0. Suppose -4*r = -w + 3*w - 8, 3*r + 3*w - 9 = z. Sort -5, r, -3 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55400000 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56, 157, 346, 665, 1156?\n\"Answer: 7*q**3 + 2*q**2 + 46*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 8. Let x be g(-8). Suppose 5 = a - 0*a + 2*t, x = -t - 1. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:14 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609250681?\nAnswer: 13, 46865437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1247?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 3*c + 32754. Is t(0) a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 + 0.3145\nAnswer: -2.7855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 11\/2*o**2 - 1\/3*o**3 + 202 - 30*o. Factor i(q).\nAnswer: -(q - 6)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 27*a - 1. Let p(x) = -495*x - 54. Calculate 18*m(h) + p(h).\nAnswer: -9*h - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - z + 4. Let q be f(0). Suppose q*c - 5 = 3. Let j(x) = c*x - x + 4 - 5. Give j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-225) - 176\/30. Let r(h) = 5*h**3 + 2*h**2 - 4*h + 3. Let a(x) = -11*x**3 - 4*x**2 + 9*x - 7. Let j(u) = g*a(u) - 13*r(u). What is j(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.19 + 43.19. Sort p, 0.2, -9, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.2, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208 (base 13) to base 7.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4489, 18113, 40817, 72595, 113441, 163349, 222313, 290327?\nAnswer: 367385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002357029305 to seven dps.\nAnswer: 0.002357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((-6)\/(-2) + -6). Suppose 4*h - 4*m + 9*m = 21, -3*m = -4*h + 13. List the prime factors of h*-1*(-10)\/i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.38168 - 1.13877.\nAnswer: -15.52045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -310437 divided by -6?\nAnswer: 103479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 61*q + 1794. Let w be z(21). Calculate the greatest common factor of 1212 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1390 * 17.3\nAnswer: -24047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -58. What is the common denominator of (-3)\/c*(-690)\/8 and 41\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.14, 1\/2, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-25)*v\/((v*v\/v**16*v*v)\/v)*v)**26)**12 assuming v is positive.\nAnswer: v**12792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*m - 14 = 0, -5*k + 0*k = -2*m - 48. Let z = k - 5. Let h(o) = o**2 - 5*o + 6. Determine h(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 336789, 673588, 1010389, 1347192, 1683997, 2020804, 2357613?\n\"Answer: y**2 + 336796*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-1 + 34)*5\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73620 is divided by 6135.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u + 5. Let d(c) = -c**3 - 2*c**2 + 1. Let x be d(1). Let v be g(x). What is the units digit of (22\/4)\/(v\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzrrtttr. Give prob of sequence trzr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32418297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - z + 4 = 0, -4*z - 23 = 196*o - 199*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/7)\/(2\/(-7)). Let c(p) = y*p**2 - 20*p**2 + 12*p**2. Let j(a) = -3*a - 4. Give c(j(o)).\nAnswer: -18*o**2 - 48*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:13 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + t + 1 = 0, -11 = -2*n - 3*n + 3*t. List the prime factors of (3 + -2)\/(n\/134).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0042109 * -5\nAnswer: -0.0210545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 26*w**2 - 99*w + 3753. What is j(14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (849*q**2 - 896*q**2 - 1855*q**2)*(-3 - 3*q + 2*q + 4*q) as i*q + c + o*q**2 + x*q**3 and give o.\nAnswer: 5706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let q(f) = -f**2 - 28*f + 56. Let b be q(-30). Let l be r(b). Solve -3*a = -l*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 913 + 1827 = 0. Let j = -403 + x. List the prime factors of j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 10*f**2 - 5*f + 1. Let c be i(-7). Let s = c - -115. Solve 3*r - 9 = 5*r - 3*z, s*z = -4*r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2451 - 841 = -124*u + 446*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/14 + -47 + 4826\/133.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8d2 (base 15) in base 6?\nAnswer: -1531255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q**4\/5 + 71652*q**3\/5 + 231141*q**2\/5 + 47826*q\/5 = 0.\nAnswer: -3, -2\/9, 0, 2657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/244 and 49\/305.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (38\/57)\/(2\/24). What is the greatest common factor of 60 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*q = -7, -3*c + 15 = 2*q + 2*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -288, -1547, -3654, -6615, -10436, -15123, -20682?\n\"Answer: -d**3 - 418*d**2 + 2*d + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -32, 13, 2, -12 in descending order.\nAnswer: 13, 6, 3, 2, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s. Suppose h + 0 - 96 = s. Let y = h + 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 8*o = 2*y, 2*y - o = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.163319 and -0.12643.\nAnswer: -8.289749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t**3\/3 - 481868*t**2\/3 - 3334119*t + 777966 = 0. What is t?\nAnswer: -37046, -21, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*m + 62*m + 84*m + 63*m)*(0*m**3 + 0*m**3 - m**3) - 2*m**4 - 5*m**4 + 6*m**4.\nAnswer: -89*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -64*n**2. Let u(c) = -c - 538. Give u(q(f)).\nAnswer: 64*f**2 - 538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*s**3*u**2 - s**3 + s + 12*u**2 - 3*u wrt s.\nAnswer: -60*s*u**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 84 = -14*f. Let c = 12 + -9. Let h be 5 - (171\/63 + 4\/14). Solve c*b + f = h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5582.492 days in minutes?\nAnswer: 8038788.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 87 + ab?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 5*h - 82 = 33. Suppose 0 = -19*v + h*v - 8. What is the remainder when v is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 7. Let w be b(9). Let j = -11 - w. Suppose 0 = q - 3*t - 156, -421 = -j*q + t + 289. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4eea - 8?\nAnswer: 4ee2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r - 23*r - 30*r + 76*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -2*m**5\/5 + 13*m**3\/6 - 21*m**2. Find the first derivative of u(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-408)\/(-60))\/((-6)\/(-75))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + -1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 11284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -y + 20 - 0, -316 + 816 = 15*y + 19*y + 2*w for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 12*g**2 + 20. Let v be s(12). Suppose 41*i = 40*i + v. Calculate the highest common divisor of i and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdmz. What is prob of picking 1 d and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g**(1\/5)\/g)\/(g**0*g**(-6)*g))\/(((g\/(g*g*g*g**(-2\/5))*g*g)\/g)**48)**(-41) assuming g is positive.\nAnswer: g**(-5863\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvvddvnnvddn. Give prob of picking 1 n and 1 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1084795605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 4*c - c + (3*c + c - 3*c)*(-2 - 1 + 4) - 4 + 4 - 2*c - 10*c + 3*c - 3*c + 2*c + 0*c - c + (3 + 1 - 2)*(5*c + c - 4*c) + 5*c - c - 3*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from fabfffbgbfkjgfbg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 24*n = -18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110111101110000 - -11100?\nAnswer: 1100110111110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302*u + 59883 + 43651 = 2246 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c04 (base 15) in base 5?\nAnswer: -300304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -22*(-3)\/6 - 3 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-60))\/((-5)\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/30)\/(1\/5). Let s = 1 - -3. Suppose 0 = t*o - s*r - 66, 3*o - 3*r - 79 = -2*r. What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71207 (base 8) to base 10\nAnswer: -29319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245207.\nAnswer: 73, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -151. Suppose n*k - 24*k + 10 = 0. Which is the closest to k? (a) 4\/3 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 1, i: 1, v: 2, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/500*(-36)\/20)\/(3\/5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7422 - 7417. Let r = 595\/4 + -4763\/32. Let w = 113\/160 - r. What is the closest to -2 in 0.2, o, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - i + 0*i = 87, 5*b = -4*i + 102. Calculate the least common multiple of 70\/(-21)*6*-1 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187104936 to the power of 1\/2, to the nearest integer?\nAnswer: 13679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose -2*f - 3*t = 11, -x*f = t + 1 + 4. Let a be (-1 + 4 - f)\/2. Solve -y + a = -0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 - 15743*w**2 - 208 + 31487*w**2 - 15743*w**2 - 7*w as o*w + k + d*w**2 and give k.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 20 = 5*p - 4*r, 4*r + 16 = 4*p. Let f(t) = -79*t + 4 + 4 - 2. Let s be f(p). Round s to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3 and -53\/19740?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2, 0.2, -228.9, 3, -2\/3?\nAnswer: -228.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.122 - 127.878. Let a = z + 115.4. Let r = a - -12.60000067. What is r rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + -5 - 18) + 58\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 + 6*x**2 - 9*x**2 + (-2 + 0 + 1)*(-x**2 + 3*x**2 + 0*x**2) - x**2 - 3*x + 3*x + 2*x - x**2 - 2*x)*(3*x**2 + 7 - 8 - 2*x**2).\nAnswer: -13*x**4 + 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let i be w(2). Suppose -2*n - 3 = k, -i*n = -3*k - k + 21. Calculate the remainder when 7 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2850)\/357) + (-30 - (-1 + (4 - 29))).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -739 + 1567. Suppose -q + 287 = -5*a, 3*q - o = -2*a + 6*a. Is q a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 891 + -886. Let i(f) be the first derivative of -2\/33*f**3 - o + 4\/11*f - 1\/11*f**2. Factor i(z).\nAnswer: -2*(z - 1)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -145189\nAnswer: 1451890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 3:40 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30597 + -30600.4. Let t = 0 + 1. Which is the closest to t? (a) y (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0*f**3 - f**2 + 0*f**4 + 0 - 1\/10*f**5 + f. What is the derivative of q(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 766 and 1045207?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3941 + -3939. What is the closest to g in 0.1, 33, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 2096, 0.1, -3\/8, -1\/3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 22. What is the lowest common multiple of 156\/39 + -1 + 3 + -4 and 1*61 - (k + -3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u. Let c(y) be the third derivative of 0*y + 0*y**3 - y**2 - 1\/150*y**5 - 1\/60*y**4 + u. Solve c(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -48*p**2 - 2. Let f(x) = 8*x**2. Give o(f(k)).\nAnswer: -3072*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -1 - (26 + (-27 - -1))) + -8 + 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:03 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*c**2 - 53*c**2 - 11*c + 41*c - 16*c - 14*c.\nAnswer: -181*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 452 + 103 = 4*k, 2*a - 346 = 4*k. Let n = k + 121. Calculate the greatest common divisor of n and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17723*h + 84 = 17730*h. Put 5, 0, h, -8 in decreasing order.\nAnswer: h, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -1, 4.\nAnswer: -5, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 3653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298 + 3876\/13. Let l be (-1)\/5 - 0\/(-1). Which is the closest to -1? (a) q (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 7) in base 8?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 less than 450.06?\nAnswer: 490.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 276.94857 months?\nAnswer: 2.30790475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 89. Let t = -336988\/9 + 37548. Let l = -105 + t. Which is bigger: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7 - 7. What is the third derivative of 70*g**2 - 74*g**2 - 4*g**4 + m*g**4 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**2 + 1\/4*h**3 - 1\/4*h**5 + 0 + 0*h + 0*h**4.\nAnswer: -h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 37995039868.\nAnswer: -37995039867.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 11) to base 15\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022032 (base 5) to base 6.\nAnswer: -211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -350*r**2. Let v(h) = 6*h**2. Calculate v(o(u)).\nAnswer: 735000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 819353911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + 1 + 63 + (-51 - -15 - -25)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -303 + 372. Solve -13*h - l + 4 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14*x\/x**20*x*x)\/(x**(-10)*x*x*x**(-15)) assuming x is positive.\nAnswer: x**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410.2023 kilometers to millimeters.\nAnswer: 410202300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1476 - -2707. What are the prime factors of c?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/9 (b) -222 (c) 2 (d) -0.127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 7*u. Let f be p(-7). Suppose -2*o + 3*o - 77 = f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -13, 49, 149?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6784124 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -168 (b) -0.02 (c) 1\/3 (d) -3 (e) 0.1 (f) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7196923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964533481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 28*t + 46*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 2\/3, -19.9, -2.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 52. Suppose 4*o = p - 65. Which is bigger: -14 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 103*y = 104*y - 2643, -4*y = 3*i - 1596. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*u + z, 3*u + 25 = 4*z + z. Find the common denominator of -2 - u - 11\/12 and 47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34961 and 17.28.\nAnswer: -34943.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -l + 5*m, -8 = 5*l - m + 12. Which is the closest to 0.02? (a) l (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5282, -7489, -13478, -25139, -44362, -73037, -113054?\n\"Answer: -315*u**3 - u**2 + u - 4967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17582 - -38680?\nAnswer: 38677.82418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1662 (base 12) to base 14.\nAnswer: -d86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**3*u**3 + 13*t**3*u**2 - 3*t**3*u - t*u**2 - 8*u**4 wrt u.\nAnswer: 30*t**3 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, z: 2}. Give prob of picking 3 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60470 + -25693. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5974473858 and 48.\nAnswer: 5974473906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 11 = 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20479 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 61*s - s**2 - 55*s - 29*s + 149*s.\nAnswer: -s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8285813 is divided by 690461?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -184255 and -184257 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 7*b**4\/6 - 1166*b**3\/63 + 568*b**2\/7 + 120*b\/7 - 4722. Factor x(v).\nAnswer: 2*(v - 6)**2*(49*v + 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -547, -1, -2, 3 in decreasing order.\nAnswer: 3, -1, -2, -7, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6084, 12109, 18128, 24141, 30148, 36149?\nAnswer: 42144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-3)*(-9)\/(-6). Suppose 0*z = u + 4*z + 40, -u = z + 37. Let x = q - u. What is the closest to -2\/3 in -2, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 2. Let n = 4675\/3117 + 1\/6234. Let y = -436\/663 + -2\/221. What is the nearest to n in y, r, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 192*i - 718. What is t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -999205, -1998444, -2997683, -3996922?\nAnswer: -4996161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*f*n - 4*f - 18*n**3 + 715 wrt n.\nAnswer: 37*f - 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-52)\/8 + 7)*4. Suppose -2*w + n = -2520, -z*w + 1177 + 1335 = -3*n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7549 - -11023. List the prime factors of s.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-1)\/(-2) - 1. Let k be 0 - (g - -4) - -23. Suppose -5*d + 70 = 2*o + 25, d = -3*o + k. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28070 - -28039.022. Let a = l + -0.022. Let f = a + 22. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/24 - (-3 - 1228\/16). Let d be (5\/14)\/((-20)\/x). Suppose -4 = 2*q - 0. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/8 - 11*i**3\/4 - 157*i**2\/8 - 99*i\/2 - 81\/2 = 0. Calculate i.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000513538429 to 5 decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301 is divided by 161.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjccmjowjjjcmaajj. Give prob of picking 1 j, 1 a, and 1 c.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175195 is divided by 12468?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -4 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t**2 - 21*t + 93*t**2 + 21*t.\nAnswer: 186*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 + 16. Let g(x) = -14*x**2 - 47. Calculate -6*g(f) - 17*p(f).\nAnswer: -f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-7)\/((-21)\/3))\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 - 8 - 4*k**2 + 2*k**2 - 7 + 12*k = 0. What is k?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 2 (c) 1 (d) -5608 (e) 18\/19 (f) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253384254 is divided by 3507.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + j - 1. Let m(f) = f**2 + 1. Let c(b) = -i(b) - 3*m(b). Let n(a) = a**3 - 6*a**2 + 3*a + 1. Let h be n(6). Let q = h - 15. What is c(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 160. Let i be (6\/g)\/(15\/10). Let s = -1\/25 + 27\/50. Which is the nearest to 0.1? (a) s (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175274 divided by -6.\nAnswer: 87637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 - -340044022?\nAnswer: 340043331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641081 divided by 29?\nAnswer: 56589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 23. What is the greatest common factor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*a**4 - 15943*a**3 - 6*a**2 - 17258457 wrt a.\nAnswer: 60*a**3 - 47829*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 1323 - 38. Let m = 60 + s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*s - a, 0 - 2 = -s - a. Let -3\/4*u**4 + 9\/4*u**2 + 0 + 3\/2*u + 0*u**s = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -382, -1552, -3502, -6232, -9742?\n\"Answer: -390*x**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1359)\/(-39) + 4\/26. Suppose -5*b + 5 - u = 0. Suppose 3*i = -3*z + 24, 8*i + 20 = 2*z + 4. Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:26 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = u - 12. Calculate the remainder when 8 is divided by ((-1)\/4*-2)\/(u\/(-56)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 4. Let w be p(-4). Solve 0 = -y + 4 - w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37287421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -318 (base 15) to base 14\nAnswer: -37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*i**4 - 726 + i**3 + 405*i**4 + 0*i**3 wrt i.\nAnswer: 1560*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4123010789264 - 0.2\nAnswer: 4123010789263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 - 3 - 2 + 24*v**3.\nAnswer: 35*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, i: 1, s: 1, v: 2}. What is prob of sequence vuv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2169 + 2196. Suppose 56 = 4*f - 48. Let o = u - f. Solve 3*j - o = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10535471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let q = -89 - -83.5. Let m = 6 + q. Which is the third smallest value? (a) -4 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3966862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29997412.\nAnswer: 2, 2531, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 9858 + 6*a**2 + 9832 + a to s*a**2 + y*a + u and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 148688519*f*h - 49898936*h wrt f.\nAnswer: 148688519*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:43 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38797705 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 36. Let k(a) = -a**3 + 5*a + 3*a + z*a**2 + 4*a**3 + 10 - 2*a**3. Is 4 a factor of k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + p + 2. Let j(k) = 43*k**2 + 6*k - 149. Let z(s) = -j(s) + 5*t(s). Find the first derivative of z(d) wrt d.\nAnswer: -106*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -18*g. Let m(w) = -17*w + 33*w - 19*w. Calculate m(o(z)).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 173233605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -0*n + 30. Let r be ((-9)\/3)\/((-9)\/12). Let p(d) = r*d + 6*d + 2*d - 5*d + 1 - d**2. Calculate p(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4. Let k(z) be the second derivative of -z**3\/6 + 3*z**2\/2 + 6*z. Calculate -4*k(j) + 3*t(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 9\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229 + -746. Let k = o - -810. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 + -11?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 10*r + 0*r**2 - 21*r + r**2 to the form d*r**2 + n + o*r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6390?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 869b (base 15) in base 12?\nAnswer: 145a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 16*p - 958. Give f(46).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:48 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -0.4, 43, -3, -9\/83, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392436 is divided by 224?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by -9.\nAnswer: 118\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 46 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962688 divided by -3488.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 2*x - 3. Suppose 3*j - 3*c + 2 = -7, j - 4*c + 3 = 0. Let b be h(j). Let u(l) = 0*l - l + b*l. Let r(w) = -13*w. Calculate u(r(y)).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15798202?\nAnswer: 2, 7, 17, 41, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 106*b**3 + b**2 + b. Determine a(-1).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q + 3. Let u be q\/(-6)*24\/(-2). Let f be -48*((-21)\/u - 4). Calculate the highest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/17 (b) 7 (c) 1417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**2 - 6*r**2 + 3*r - r - 9*r**2 wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 53*v**2 - 9*v + 18. Let q be j(5). Find the third derivative of 42*k**3 - 1298 + q + 20*k**2 wrt k.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 1 o when three letters picked without replacement from {b: 1, o: 1, g: 6, s: 4, r: 2, k: 1}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. Let g be 30\/20*2\/v. Solve g = -u - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34002444 (base 5) to base 15.\nAnswer: 5d119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m - 2. Let c(a) = 34*a + 786. Let f(l) = 6*l + 121. Let s(p) = 2*c(p) - 13*f(p). Determine -6*o(v) + 13*s(v).\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 5886435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1187 = -368. Let i = 767 + v. Suppose -2*z + 168 = -i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*n + 12, 3*o + 1566 = -24*n + 1368 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 40 = 3*c + s, 2*c + 3*s - 22 = 0. What is the smallest common multiple of c and 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 2*b + 2*b. Let d(o) = o**3 + 8*o**2 - 9*o + 1. Let h be d(-9). Calculate the common denominator of b and h\/(-5) + (-102)\/(-110).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 220 and 0.15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let t = 9 + k. Suppose 3*m - 14 = -b + t, 46 = 5*m + 2*b. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/(-7))\/(108\/(-1008)). Let n be (-3)\/20 - (-32)\/b. What is the closest to 2 in n, -2\/21, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 437, 940, 1443, 1946?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 34 + 35 - a**2)*(14 + 18 - 15)*(4*a**2 - 4*a**2 - 2*a**2).\nAnswer: -34*a**4 - 34*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18374498 rounded to three dps?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/((-1)\/(-3)). Let j(h) = h**3 - h**2 + h + 1. Let m(q) = -6*q**3 + 3*q**2 - 2*q - 6. Let k(x) = 5*j(x) + m(x). Is 15 a factor of k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4173 + -4160. Calculate the remainder when 113 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138473 is divided by 11453.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28910616?\nAnswer: 2, 3, 7, 37, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 3*x**2 + 8281238*x**3 + 4*x**2.\nAnswer: 8281238*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/10 - 1491\/(-35). Let j(x) = 80*x + 3 - r*x - 36*x. Calculate the remainder when j(2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343590 and 12090?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -5800, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*r. Suppose -3*z - r*j = -2*z - 8, -2*j - 4 = -2*z. Suppose z*a - 13 = 11. Solve -5*f = -2*t + 10, 9 = -3*t - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17)\/y*(y\/(y\/(y*y\/y**(-2))))\/y*y)\/(y**(-1)\/y**(-2)))**(1\/25) assuming y is positive.\nAnswer: y**(32\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:47 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-20))\/7*2*10\/(-40).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/360 - j**3\/6 + 3*j**2. Let m(f) be the first derivative of g(f). Let z(l) = l. What is z(m(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4770 from 8.\nAnswer: -4762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 2\/5 (c) 107 (d) 2 (e) -0.1 (f) 36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 20 = 0. Factor -2*k**5 - 3*k**s + 3*k**5 - k - k + 4*k**3.\nAnswer: -2*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/6) - -1. Suppose -c*q = -4*q - 24. Let a be (15\/q)\/((-2)\/4). Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**3 - 5*g**3 + 30*g**2 + 0*g**3 - 35*g**2 + 6. Let a be 60\/27 + 4\/(-18). Let k = -1 + a. Let c(s) = s**3 + s**2 - 1. Give k*z(i) + 6*c(i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/(-6))\/(8\/(-24)). Let m = 21 + x. Let k(u) = -9*u**3 + u. Let z be k(m). Solve 4*n - z*n - 4*r = 36, 3*r = -12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*423\/(-940).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-10)*35\/(-14). Let h = -31 - -29. What is the biggest value in h, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25373088 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3005 - 20814\/7. Let n = 10912441\/35 + -311810. Let v = n + u. Calculate the common denominator of 101\/24 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 2. What is c(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(143) - 6*(-2*sqrt(143) + sqrt(143)))\/(sqrt(33)\/sqrt(48) + sqrt(11)) + -4)*-6.\nAnswer: -1008*sqrt(13)\/5 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2701432816 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -316 - -331. Sort 3, -1, b in decreasing order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 - 3 = 0, -o + 53 = -2*m. What is the remainder when o is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897679441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37.808 - 38. Let a = -0.187 - c. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = o - 14. Let z be (-495)\/o - 2\/10. Let b = -11 - z. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2 and -15\/9604.\nAnswer: 9604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -12. Let y(z) = 2 - 7*z**2 - 2*z + 3*z + 9*z**2. What is the tens digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:08 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 1300 = 6*g. What is the greatest common factor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3, 0.01, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37 - 2)*2*(-2)\/12. Let g(i) = k - 5 - 4 + 15*i - 5. Let x be g(2). Solve 2*f + 0 = 5*n - 7, -5*f - 3*n = -x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y + 4*y + 0*y + (-1 - 2 + 5)*(y + 0*y - 462 + 190).\nAnswer: 17*y - 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 take away 0.08755739?\nAnswer: -0.52755739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250770 by -75.\nAnswer: -16718\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16384925 and 14695?\nAnswer: 16384925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/5 - 34*l**3\/5 + 62*l**2\/5 - 6*l.\nAnswer: 2*l*(l - 15)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.4 (b) 9 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:53 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8*4)\/(2\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + 6899255962.\nAnswer: 6899255949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 - (-4 + -9) - (-7 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*h - 3 = 79, -33 = -q - 4*h. Let b = 3 + q. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128881\/295 + -2184\/5. Let s = 173\/649 - i. Solve -16\/11*a**3 - s*a**4 - 48\/11*a - 4*a**2 - 18\/11 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 6*t**2 - 4*t - 39. Give r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -165 in decreasing order.\nAnswer: 1, -1, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2)*(-5)\/2. Suppose -l = k - 64. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 9 - 5)*((5*k**2 - k**2 - 2*k**2)*(-3 - k + 3) - k**3 - 4*k**3 + 3*k**3) in the form h*k**2 + g*k**3 + u + m*k and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 7207\/14 (c) -0.3 (d) 0.5 (e) -5 (f) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3. Let n(w) = -12*w**3 - 3*w. Determine 9*i(c) + n(c).\nAnswer: -3*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -82. Let n = 4 - 3.9. Let l = 0.5 - n. Which is greater: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(312)\/sqrt(6))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4, -5*a + 2 = -3*k + 27. Solve 0 = 5*z - 6*z + 4*j + 7, 0 = 5*z + k*j - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3, 2, 63.9, -6, -1484\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**10\/1008 + b**6\/60 - b**3 - 5*b. Let n(k) be the second derivative of d(k). What is the third derivative of n(p) wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6278, 6284, 6292, 6302, 6314, 6328, 6344?\nAnswer: 6362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1683 - 28623\/17. Is -2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65983765 is divided by 49426.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (18 - 29) + 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/495365 and -47\/50?\nAnswer: 4953650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -32*p**2 - 4*p - 2. Give m(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -244*t + 6. Let g(q) = 243*q - 8. What is 3*g(h) + 4*l(h)?\nAnswer: -247*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 1150281564248.\nAnswer: 1150281564256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15258114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*q = -406*q + 1660 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -53)\/(-6) - 3555\/450\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 998\/10 + (-25)\/(-125).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14271, 30462, 46675, 62922, 79215, 95566, 111987, 128490?\n\"Answer: 2*o**3 - o**2 + 16180*o - 1910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8844 and 64687964?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12*t*(t*t**(3\/5))\/t*t assuming t is positive.\nAnswer: t**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69233 - -6092579\/88. Calculate the common denominator of n and (66\/(-64))\/((-24)\/(-20)).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8288 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b2 (base 15) in base 16?\nAnswer: -dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89170561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12263832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 92207100 to the nearest one hundred thousand.\nAnswer: 92200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(1\/(-11) - (-299)\/506). Let b(d) = 3*d - 3. Determine b(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7322*z + 856*z + 321006 + 207404 = -1792*z for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -169*(119\/(-7))\/((-6)\/(-102))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 - 4*s**3 + 8*s**2)*(-452*s + 839*s - 413*s).\nAnswer: 104*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 540*l + 778*l - 632*l + 934*l + 1104*l in the form r*l + o and give r.\nAnswer: 2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*q + 5, 0 = 4*u - 4*q + 38 + 18. What is the smallest value in u, 1, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 12 = 0. What is the remainder when (-6 + 1 + 98)\/3 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 347895 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 1. Let t(v) = -3*v - 4. Let i(w) = -w - 1. Let b(q) = 4*i(q) - t(q). Let j(l) = 3*b(l) + r(l). Determine j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*o = 1 + 41, 3*c - 4*o - 49 = 0. Which is bigger: c or 71\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 40*p + 2. Let u be g(-1). Let o = u + -5. Let c = o + 45. Is 9\/7 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 - 39. Let u = 264 - b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658067?\nAnswer: 3, 131, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8823, 8824, 8827, 8832?\n\"Answer: b**2 - 2*b + 8824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 4*y + 2*y)*(-2 - 3 - 1) + 5 - 5 - y to the form p*y + b and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254 by -1.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81779 is divided by 962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31540\/7 - -4513. Let j = -384647\/555 - -3467\/5. Find the common denominator of j and g.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-99 + (42 - 11))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/14 + 0)*0. Let q(l) be the third derivative of 1\/108*l**4 - 1\/90*l**5 + 0*l + 0*l**3 + 1\/180*l**6 + o - 1\/945*l**7 + 13*l**2. Factor q(i).\nAnswer: -2*i*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403443011 + 10?\nAnswer: -403443001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 9 + 15*p + 3 - 29. Is i(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859486.\nAnswer: 2, 17, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -707, -1064, -1423, -1784, -2147, -2512?\nAnswer: -2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 28*p**3 + 23*p**3 - 4*p + 4*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1561 = 11906. Suppose -5*d = -2*t - h, 5*d - 2*t = d + 1654. Let q = d - 289. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*h + 60 - 12 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:14 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 14*u**2 - 17*u - 24. Let w be j(-15). Let x(p) = p**3 - 6*p**2 + 5*p + 6. Let t(a) = 2*a**3 - 11*a**2 + 9*a + 11. What is w*t(h) - 11*x(h)?\nAnswer: h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 22*n**3 + 13*n**2 - 2*n - 4. Let f(w) = -21*w**3 - 14*w**2 + 3*w + 4. Determine 2*f(m) + 3*o(m).\nAnswer: 24*m**3 + 11*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 189 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 6*x**2 - x. Let f(t) = -t**2 - 2*t - 1. Let j be f(-1). Let h(w) = 23*w + 6 - 7*w - 6*w - 9*w. Let g be h(j). Determine y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*c - 931 = 494*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1412770862 and 11342?\nAnswer: 11342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36a47 (base 11) to base 13\nAnswer: -1b280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.773058355669 plus 0.1?\nAnswer: -0.673058355669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1781 - 8889\/5. Find v such that 0 - a*v + 56\/5*v**2 - 12*v**3 + 18\/5*v**4 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39475.4641 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1875*0.2.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:00 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -138 - -3392874?\nAnswer: 3392736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7114 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352412416?\nAnswer: 2, 149, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2243.5 + -2243. Which is the third biggest value? (a) -118 (b) -0.09 (c) 0.4 (d) 4 (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302*q + 2971*q + 23659 = 1268*q for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2*k**3 - 9.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 + 2*w + 1. Let l be g(-1). Let b(h) = -2*h**2 + 3*h**2 + 3*h**2 + 0*h**l. Let t(f) = 2*f**2. What is t(b(x))?\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -374, -748, -1124, -1502, -1882, -2264, -2648?\n\"Answer: -l**2 - 371*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8181\/2 + -49171\/12. What is the common denominator of -53\/6 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 3:47 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 47, 71, 95, 119, 143?\n\"Answer: 24*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 3*b + 4. What is p(-5)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*s + 605 - 605 + 372*s.\nAnswer: 441*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 30\/(-6) + -665. Let d = -665 - s. Solve -5*b + 23 = d*l, 3*b - 9 = -3*l + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*15*-2*(-34)\/48 - -7.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 101 = -181. Let h = -93\/2 - m. Let r be (-4)\/10 + (-7)\/(-5). Which is the closest to r? (a) 0.3 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.7 (c) 5 (d) -545367 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(196\/(-7)))\/(10\/360)*7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 1252 + 550. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214038 divided by 19458.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90793 (base 13) in base 15?\nAnswer: 51837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 34*r = 5*q - 438649, -5*q + 657956 = 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/((-12)\/18). Let d(v) = 6*v**3 - 3*v + 2 + 2*v - 1. Calculate the lowest common multiple of d(j) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1589822702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 776085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 20. Let p = u - -12. Suppose 0 = -p*v + 8*v - 215. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 246 = 81*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 36. Let d(y) = -6*y - 12. Is d(u) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -28c9?\nAnswer: 28d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/7)*p**(6\/5))\/(p*p\/(p\/(p**1*p))*p**(-11)))**(-43) assuming p is positive.\nAnswer: p**(-14491\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 79. Let x(a) = -a**3. Let u(d) be the third derivative of -d**6\/24 - 2*d**2. Determine t*x(i) + 2*u(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138848344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*h**4 + 8*h**4 + 12 - 3*h**4 wrt h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 + 3*n**4 - n**4)*(2 + 3*n - 2) + 129*n**5 - 21*n**5 + 0*n**5 + (2*n**3 - 4*n**2 + 4*n**2)*(n - n + n**2).\nAnswer: 107*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 16*i - 32. Let u be z(-9). Let p = 587 - u. What is the least common multiple of 110 and p?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 - 2950*k**4 - 2990*k**3 + 20680*k**2 + 2985*k - 17730 = 0.\nAnswer: -3, -1, 1, 2, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -3 (c) 4 (d) -2\/9 (e) 3.74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - c = -13, -4*p - 3*c + 32 = 2*c. Let b = -7 + p. Put b, -2, 1 in decreasing order.\nAnswer: 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1025 + 5127. Is 187 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. What are the prime factors of y*(-5)\/2*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -134, -271, -408?\n\"Answer: -137*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = t - 2057. Is t a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*-1)\/(sqrt(7)*-1*-5).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**3 + 618*u**2 - 461*u - 1428. Determine q(-89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 3682952.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263 + 266.3. Let p = -0.7 - l. Which is the closest to 11? (a) 4\/9 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 104*u**2 - 1 + 3.\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 127 = 12645. Suppose d - 51 = k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29324521690 rounded to the nearest 100000?\nAnswer: 29324500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-3))\/(60\/228)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 2, a: 2}. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + (-6)\/(-10). Let n = 27427 - 27384. What is the greatest common factor of v and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05665 and 0.2.\nAnswer: -0.01133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (78\/2457)\/(240\/(-810))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 + 1. Let c(i) = 4*i. What is z(c(w))?\nAnswer: 96*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231656 and 11322187?\nAnswer: 90577496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -236. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + -5)*(-1)\/2*2. Let p be -64 + 65 + 1\/l. Determine s so that 3\/2*s**2 - p*s**3 + 0*s - 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*g + 2*c**3 + 96*c**2*g**2 - 3*c*g**2 - 344*c*g wrt c?\nAnswer: -6*c*g + 12*c + 192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 2*u - 4*u)*(-1 - 5 + 4)*((0 + 3 - 1)*(0 + 2 - 5) + (0 + 3 - 1)*(-13 + 23 - 47)) as l + o*u and give o.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1861828, -3723671, -5585514, -7447357, -9309200?\n\"Answer: -1861843*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 657972045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 2\/39 (b) 68417 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 4 - 7)*(-2 + j + 2) + 4*j - 3*j + 0*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 28 = -16*k. Put 37, 1, k in ascending order.\nAnswer: 1, k, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1400 and -4?\nAnswer: -5600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.806 + 0.094. Let z = a - 0.900006. What is z rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 3*n + 31, 0 = -2*p + 3*n - 7*n - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 - (-40)\/(-30)*-1. Which is the smallest value? (a) -1\/4 (b) g (c) -0.4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 3854478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from odrydxy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 37 = -18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y)*(243*y - 50*y**4 - 243*y) + y**5 + 2*y**5 - 2*y**5.\nAnswer: -99*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 24. Let l be z(4). Suppose 10*m - 62 + 2 = l. What is the second derivative of -2 - 2*f**2 - 19*f + m - 4 wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145996974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -500*s**2 - 28*s - 84. Let d(v) = 56*v**2 + 3*v + 9. Let w(j) = -28*d(j) - 3*p(j). Let b(g) = 11*g**2. Calculate w(b(t)).\nAnswer: -8228*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/(-1 + 94\/93). Suppose 4*b = 2*t + 34, -2*b + 3*t + r - 8 = 0. Solve 2*q - a = -0*q - b, -5*a - 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - o**2 + 1. Let i be l(-1). Let j(a) be the second derivative of 0 - 2\/9*a**i + 1\/27*a**3 + 1\/54*a**4 + a. Factor j(k).\nAnswer: 2*(k - 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 802 - 33. Let y = -165 - p. Let w = 15 - 10. What is the lowest common multiple of y and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 81*b - 1. Let j be 3\/15 - 612\/10. Let y = j + 62. Does 16 divide u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1854122191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 68. Let r = 7 - 4. Let v = r - 3.06. What is the smallest value in d, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + p = 12643, -2*i + 1142 = 3*p - 5167. Suppose 2*g - 3*x = i, 2*x + 4742 = 3*g - 2*x. What are the prime factors of g?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2\/3 - 28*w\/3 + 104 = 0. Calculate w.\nAnswer: -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 + -43a57?\nAnswer: -43a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 953, 1073, 1231, 1439, 1709, 2053, 2483, 3011?\nAnswer: 3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 798746*g - 4792465. Calculate a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -14. Let t = -1120\/13 + 86. What is the second smallest value in f, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76156228 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/18 + 2*o**4\/9 - 11*o**3\/27 - 2*o**2\/3 - 439*o. Factor s(v).\nAnswer: 2*(v - 1)*(v + 3)*(5*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001183 rounded to seven decimal places?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 2, q: 2, v: 4}. Give prob of picking 1 m and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245*x + 445 - 445)*(-11 + 8 + 3*x + 5).\nAnswer: 735*x**2 + 490*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1 + -9)*(-10)\/20. Let a(t) = -t**3 + 3*t**2 + 10*t - 2. Let o be a(h). What is the nearest to o in 1\/3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + 6.5?\nAnswer: -84.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 3\/5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:28 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48482 - 22020. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = -2*n, 0*n = -4*q + 2*n + 4. Suppose q*p - 66 - 69 = 0. Solve -5*r - 3*d + 41 = -7*d, -p = -5*r + 5*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f = -18*f + 25*f - 270. Let p(y) = 2*y - 28. Let c be p(15). Sort c, 3, f, 77 in descending order.\nAnswer: 77, f, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7623\/(-27))\/(-7)*(0 - -6). Solve 0 = -d*s + 251*s - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.74 (b) -78 (c) 10267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 3*z - 5. Give h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h - 6. Let k be i(4). Suppose 3*j + j + 3*y - 15 = 0, -k*y = 2*j - 10. Let w = 1569 + -1559. Solve j = 5*x - 10 - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0 + 9 + 0*r**3 - 8*r**2 - 5*r - 5*r + r**3. Determine y(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -472, -993, -1514, -2035?\n\"Answer: -521*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 373?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(21)\/(sqrt(12)\/sqrt(4)*1)*5 + sqrt(343) + -5 + (sqrt(70)*1)\/sqrt(10).\nAnswer: -1 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 5 - (-78 - -86)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 4. Let w be 0\/(g - (-2 + 1)). Suppose -4*x + 52 = -w*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 46.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 21 + 11*m)*(-1 - 6 - 3)*(-55 + 15 + 18) as t*m + b and give t.\nAnswer: 2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45351920 divided by 9070384.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 19*q**2\/3 - 15*q + 21.\nAnswer: (q - 21)*(q - 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3456027, 3456025, 3456021, 3456015, 3456007?\n\"Answer: -f**2 + f + 3456027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6258426240 to the nearest integer?\nAnswer: 79110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 366550316 a multiple of 4706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*q + 14, -11*q + 9*q = 4*y - 16. Find the third derivative of -18*s**y + 556*s - 275*s - 281*s - 28*s**5 wrt s.\nAnswer: -1680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from emeebmekekeemebe.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.9 - -16.8. Let x = -9.636 + 0.036. Let i = x + 10. What is the closest to -2 in v, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - 5*j**2 + 3*j**2)*(3*j + j - 5*j)*(0 - 45 - 45) to n*j**2 + u + t*j**3 + z*j and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1001 + -999. Solve -89 = -i*b - 85 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-117)\/13)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -20 + 250. Let c = 20 - q. Put 0, 3, c in decreasing order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5907 in -2, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 64 - 27861*b + 55717*b + 200*b**2 - 27856*b as k + y*b**2 + s*b and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 163 + 104 = -4*z, 4*z - 84 = 4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27562237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46195 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/15)\/((192\/(-1760))\/(5\/(-110))).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.4845 nanograms in grams?\nAnswer: 0.0000007544845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*((-76)\/(-56) - 2\/(-14)). Solve -j = -3*y + 8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - 2*m**2 + 2*m**2 - 3*m**2 + 0*m**2 + 2*m**2 + (1 + m - 1)*(-1 - 2*m + 1) + 44*m**2 - 236 + 236 + m**2 + 2*m**2 - 4*m**2.\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1543\/2316 + 1\/2316. Let d = 548\/5773 + -2\/251. What is the fourth smallest value in -2\/7, x, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*u + u + 15, -2*u - 40 = -3*w. What is the common denominator of 21\/w + (-4)\/2 and -61\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672698 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*s - 1 + 118*s + 2766429*s**3 + 1013282*s**3.\nAnswer: 3779711*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppkapyv. Give prob of sequence vpy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u + 140. Calculate w(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**2 + 19*r + 8. Let j(z) = -5*z**2 + 10*z + 4. Give 5*j(i) - 3*w(i).\nAnswer: 2*i**2 - 7*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2135981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - x + 2. Calculate the remainder when g(2) is divided by 8 + -1 - 1\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 27*y. Let c(d) = 6*d**2 + 9*d - 701. Determine a(c(z)).\nAnswer: 162*z**2 + 243*z - 18927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*f**4 + 2*f**3 - f - 3*f**3 - 213*f**4 + 426*f**4 - 2*f**2 + 0*f**2 to p*f**4 + s*f + q + x*f**3 + z*f**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 b when three letters picked without replacement from tcttbtootopttc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 16. Let t be j(-15). Let m = -7 - -4. Sort m, t, -5 in ascending order.\nAnswer: -5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {o: 6, w: 5, b: 1, m: 2, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 18*x - 16. Let f(y) = y**3 + 6*y**2 - 8*y + 2. Let u = 9 + -16. Let r be f(u). Calculate the greatest common factor of x and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19210353 to 3 dps.\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 12, -97 = -l + 3*a + a. Let f be 159\/2 - (-1)\/2. Let t = l - f. Solve -3*n + t*r = -12, 5*r - 8 = -2*n + 3*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)**(-3)\/(l**(-2))**(2\/103)*((l**(-2\/35)\/l)\/(l**(-1\/4)\/l))**(2\/21) assuming l is positive.\nAnswer: l**(-148523\/50470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 3*f**4\/20 + f**3\/5 - 27*f**2\/10 - 27*f\/5 - 37. Determine v so that z(v) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275 is divided by 421.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5515182 by 25299.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5da4dbc + -1?\nAnswer: 5da4dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-170)\/40*1)\/((-2)\/(-8)). Sort a, 8, 2 in increasing order.\nAnswer: a, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.04 (c) 6\/8981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 15*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1266, 9891, 33204, 78531, 153198, 264531, 419856?\n\"Answer: 1221*r**3 + 18*r**2 + 24*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421389342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = a, 3*a + a = 2*t + 50. What is the second derivative of -12*f + 5*f**4 - 5*f**4 - a*f**5 + f wrt f?\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/12*25\/(-5))\/(4\/36).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2695493822.\nAnswer: 2, 7, 53, 349, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*v + 130, -4*v - 295 + 191 = -4*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -25. Suppose 5*q - w = -6. Suppose q*o - 269 = 339. Calculate the highest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 4 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13374 less than 49?\nAnswer: -13325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/20 - 2*f**4\/3 + 5*f**3\/3 + 5*f**2 + 27*f. Let k be -1 + ((-4)\/(-1) - -5). Does 18 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1094364242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1162*b + 154192 = -1154*b. Does 268 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1942523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 7*f**5\/60 - 11782*f**2. Let b(m) = 90*m. Let z(h) = -18*h. Let g(l) = -5*b(l) - 24*z(l). What is j(g(u))?\nAnswer: 2268*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 13*z + 18. Let s(f) = f + 11. Let o be s(-8). Calculate the highest common factor of z and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 z when four letters picked without replacement from {a: 2, k: 2, u: 1, o: 1, z: 3, n: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/10 + s**4 + 3*s**3 + 3*s. Determine h so that d(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51301, -205349, -462089, -821515, -1283621, -1848401?\n\"Answer: a**3 - 51352*a**2 + a + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.96 (b) -1\/5 (c) -3 (d) 1\/15 (e) -5 (f) -145\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 13) to base 2.\nAnswer: 10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -466039 (base 13) in base 7?\nAnswer: -20123062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.2786 + -3393836.\nAnswer: -3393823.7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8208009?\nAnswer: 3, 701, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*y + 975 + 87*y - 975 + 59*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395*z**3 - 27*z - 259*z**3 - 506*z**3 - 178*z**3.\nAnswer: 452*z**3 - 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 211, 175, 45, -179?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -7. Let p = 482 + -481. What is the closest to s in 0.2, p, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, q: 1}. What is prob of sequence tqt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.0146 + 0.0146. Let k = 0.229 + -0.029. Sort u, k, 3 in descending order.\nAnswer: 3, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17044 - 0.2\nAnswer: -17044.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 197*h**2 + 28*h**2.\nAnswer: -173*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.85075 decades in months?\nAnswer: 11862.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313559211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**3 + 28*i**3 - 12*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 18*d + 16. Let f = -9 + 11. Suppose 5*z - f*z - 42 = 0. Solve r = 5*t - d, r = 5*t + 2*r - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and -0.05463?\nAnswer: -0.114723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 348, 3, 14 in descending order.\nAnswer: 348, 14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011101101001 - -10010011?\nAnswer: -111011011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770864281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 2965 + 17903. Calculate the highest common factor of 235 and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -56*q + 343. Let t be r(6). Suppose 0 = -21*w + t*w + 490. Calculate the remainder when 241 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16431*a**3 - a**2 + 351*a - 285527264 wrt a.\nAnswer: 49293*a**2 - 2*a + 351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 40. Suppose v + 3 = 2*v. What is the highest common divisor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 5*t**3 - 6662*t + 3330*t + 3332*t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984 > 103145\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 52. Let h be (-4)\/y + 1\/((-168)\/(-330)). Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9148 - -9171. Solve 5*o + k = -20*a + 18*a, 0 = -o + 3*a + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5 = -2*a, -4*a = -d - 7*a - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-210))\/((-4)\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2685.47kg to nanograms.\nAnswer: 2685470000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 + 173. Put -2, 2, a, -21 in increasing order.\nAnswer: -21, a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*d**2 - 16*d + 1725 - 2*d**4 + 91*d**2 + 40*d + 2263 - 28*d wrt d?\nAnswer: -8*d**3 + 272*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13285 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5300.825 millennia to years.\nAnswer: 5300825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 11*b - 108. Let h be s(23). Calculate the highest common factor of h and 2856.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113869890.\nAnswer: 2, 3, 5, 691, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 55. Let q be (1 - 7)*b - (2 + -3). Let w(u) be the first derivative of -u**2\/2 - 2*u + 3. Calculate w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, -9, 4 in descending order.\nAnswer: 18, 4, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1 - 2659*v + 7974*v - 2659*v - 2655*v. Let l(h) = h**2 - 7*h - 9. Let f be l(8). Calculate w(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145*q + 46*q - 151*q - 212*q + 50*q - 539 with respect to q.\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 + 0.3. Which is the second biggest value? (a) -2\/7 (b) 2\/11 (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 110, 85, 36, -49, -182?\n\"Answer: -2*z**3 - 11*z + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4. Let t(c) = c**2 + 5. Let z(f) = 5*b(f) - 4*t(f). Let u(y) = -204*y. Give u(z(n)).\nAnswer: -204*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139648134 rounded to the nearest 10000?\nAnswer: 139650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46287 and 36.\nAnswer: 185148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 6*h - 9. Let v = -20 - -29. What is the least common multiple of 8 and q(v)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 8 - (-4)\/(8\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t**2 - t**3 + 7*t + 0*t + 18 + t. Let q be i(-7). Let o = q + 538. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o + 24. Let k be o\/(-4)*(-8)\/(-6). Find the second derivative of -g**2 - k*g - g**4 + g**2 wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2120)\/28080 - -4*(-10)\/(-1080).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 2 (c) 2\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.5517266 - -0.21.\nAnswer: 56.7617266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8887?\nAnswer: 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*w + 2*w - 8747, 2*p + w - 5840 = 0. Suppose p + 7840 = 3*h + 4*b, 14362 = 4*h - 3*b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 120.16. Let g = 0.14 + q. What is the second biggest value in 0.08, g, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 64 = -4*w, 4*g - 6*g - 93 = -5*w. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5230*a + 150*a**4 - 5230*a + (-5*a**2 + 6*a**2 - 3*a**2)*(-a**2 + a - a) as p + h*a**2 + i*a**4 + c*a + l*a**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**3\/6 + 3*o**2 + 3*o. Let x be q(-4). Solve x = 2*k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.03 - -1.0247. Round m to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*((4 - 1 - 1)*(2*w - w - 5*w) - w + 0*w + 0*w) + 30*w - 351*w - 16*w.\nAnswer: -346*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981.35 minutes to nanoseconds.\nAnswer: 58881000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -60. Let k(a) = -4*a + 1. Let m(p) = 7*p - 1. Determine c*k(v) + 6*m(v).\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:04 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 105254011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -2*sqrt(7)*-6*6 + (sqrt(21)\/sqrt(3) + -2 - (-1 + sqrt(21)\/sqrt(3))).\nAnswer: -5 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y. Suppose j - 2 - 6 = y. Find the second derivative of 0*l - j*l + 4*l**5 + 4*l wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*l**3 + 27*l**2 + 96*l - 20.\nAnswer: -(l - 2)*(5*l - 1)*(7*l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380449?\nAnswer: 137, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.51 - -0.31. Let u = 69 - 72. Put -1, -0.3, u, c in ascending order.\nAnswer: u, -1, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*d + 65*d - 1328 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*t**4 + 432*t**3 - 314*t**2 - 688595665 wrt t?\nAnswer: 164*t**3 + 1296*t**2 - 628*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15294341?\nAnswer: 15294341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43718, -42866, -42014, -41162?\n\"Answer: 852*l - 44570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 9:24 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000499272 rounded to 7 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03165 less than -1.15?\nAnswer: -1.18165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/81*60\/(-70))\/(1\/(-21)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 39*y + 77. Let n be d(-2). Is n > 449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/112659 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 313*h.\nAnswer: -313*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f**3)*(1 + 1 + 0) - 21*f**3 - 23*f**3 + 53*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -17.1574398.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + 18. Let a(t) = -t**2. Calculate -9*a(m) + b(m).\nAnswer: 3*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -45*(2 - (-122)\/(-10) - 0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -1 + (-130 - -127) + (-2 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**0))**40\/(l**(2\/13)\/l)**(2\/9))**39 assuming l is positive.\nAnswer: l**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155014 not equal to 155012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u**2 + 2*u - 3. Let n(b) = 1 - 2*b**2 - b + b**2 - 7*b**2 + b**2. Let d(q) = -7*n(q) - 3*w(q). What is the units digit of d(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(162) - (sqrt(32) + -1 + sqrt(32))) + sqrt(2) + 1 + -2 + -5))**2 + -4.\nAnswer: -320*sqrt(2) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*b = -6*b + 18, -5*b = -20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {u: 3, r: 3, n: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -160*r - 1288. Let w be z(-8). Which is the second smallest value? (a) -1 (b) -19 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259 - -269. Let h be (-15)\/9*(-12)\/10. Solve h*n + s = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 3. Let d be u(-3). What is the third derivative of 0*s**3 - 4*s**3 + 7*s**2 + d*s**3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - h. Let n be w(3). Let v be (49\/(-28))\/(1\/(-4)). Suppose 2*p - 3*o - v = 0, o = 4*p - 3*p - n. What is the highest common factor of 121 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(172*i + 5*i**5 - 172*i).\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 4*z + 2*z + z. Let f(y) = -5*y**2. Determine w(f(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -275533.3 - 2.125?\nAnswer: -275535.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -16\/85 (c) 0.1 (d) 0.5 (e) 3.59 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 43*j + 3. Let f be y(4). Suppose f = 3*m + 2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/265 and 33\/1183.\nAnswer: 313495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrungrnngrnnrmgnrn. Give prob of sequence gug.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*d + 2*n + 35 = 0, -5*d - 4*n - 35 = 0. Let a = -40447 + 40443. Put 5, d, a in ascending order.\nAnswer: d, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 34*m**2 + 24*m + 51. What is the first derivative of j(l) wrt l?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 25. Suppose 3 = -w + z. Are -2\/73 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 632366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 61 - 9 = 0. Solve 4*u = 2*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/6 and -49\/2074.\nAnswer: 6222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 1. Let x be c(1). Let g = x - 0. Let n = 813 + -805. Solve 0 = -4*z + 4*s - 4, -4*z + 3*s - n = -g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.9 (c) 2126433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131313097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 15 = 12*z. Calculate the remainder when 24 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24237524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.216975014 + 467486?\nAnswer: 467486.216975014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 514\/5 or 103?\nAnswer: 514\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**5 + 95*a**4\/2 - 365*a**3\/3 + 90*a**2 - 516. Factor k(o).\nAnswer: -5*o*(o - 36)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13033 + -12745. What is the remainder when k is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f + 8 = 0. Let r be 372\/(-15) - 3\/15. Let d = 20 + r. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let t = -1 - z. Solve 0 = -t*r + r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -584 + 1011. Let m = s + -226. What are the prime factors of m?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13709 is divided by 3427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 36 - 4*q - 24*q + 38 - 77. What are the prime factors of k(-12)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h)*(4*h**2 - h**2 + 2*h**2)*(-1 - 3 + 5).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (3 + -6) - 3. Is 82\/(7\/(21\/q)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2064 and 2838.\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 310693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1770060 and 3000.\nAnswer: 88503000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 - ((2 - -1) + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/3*v**3 - 2*v**2 + 8\/3*v + 8\/3 - 2\/3*v**4 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -l - 19 - 5, -2*n = -4*l - 24. Solve 4*r - 2 = -n*c + 2, 13 = 3*r - 2*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 24889946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -669232*c**2 + c + 251626.\nAnswer: -1338464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/1787 or 1?\nAnswer: -8\/1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 3*r + 2. Let f = -2150 + 2151. Let w(y) = y**2 + y + 1. Give f*w(i) - g(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 5*a**2 - 6*a + 3*a**2 + 66 + 5*a - 7*a**2 in the form j*a**2 + p*a + q and give q.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ab3362 (base 12) in base 2?\nAnswer: 1010011000100100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117061756 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5*(-5)\/125)*(2 + -3). Solve v*k = 5*j, 12*j + 8 = 7*j - 3*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389 - 400. Let k(n) = -n - 11. Let d(g) = 2. Let j = 3 + -5. Let z(s) = j*k(s) + v*d(s). Let p(q) = 53*q + 1. Determine z(p(x)).\nAnswer: 106*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 2453 - 2429 = 0. Let g(h) = h + 8. Let o be g(-6). Solve -r - u + 2 = 0, 4*r = o*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 189479, 378953, 568427?\n\"Answer: 189474*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + t + t + 6*t - 4*t + 2*t + t + 2*t - 2*t + (-t + t - t)*(1 - 3 + 1) + 5*t - 3*t - t in the form b*t + r and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 1060 = 78*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + 2*p + 2*b, 2 = -p - b. Let f(r) = 9*r + 342. What is the least common multiple of p\/(-20) - (-6)\/8 and f(-37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 - 636*n**3 + n**2 + 3461 wrt n.\nAnswer: 8*n**3 - 1908*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 68.6. Let x = m - -16. What is the closest to -3 in 1\/5, -2\/13, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (468\/325)\/(-18) + (-11054)\/(-50). What is the highest common factor of 31382 and z?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -22. Let q = v + -15. Let b be (-1)\/2 - 11\/q. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1014 + 1016. Solve 0 = -s*y - 5*h - 17, -2*y = 3*h - 5 + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(0 + (-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-6)*308745\/(-225) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 24*m - 75 = 0. Let h(z) = -z**2 + 14*z + 4. Let s be h(m). Does 5 divide (s\/(-3))\/(3\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6072)\/(-1265))\/((-2)\/20*-1)*(-3)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22212 (base 4) to base 13\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35516530267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Suppose 2*a - u - 26 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) -33\/2 (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/44)\/((-15)\/(-8)). Let f = -1525 + 1525. Let h = -42 + 43. What is the nearest to f in l, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u + 816 = -16 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -3258.\nAnswer: -1\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319949 is divided by 239?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-2)*10\/(-15). Let z = 2 + 1. What is the closest to -1 in g, z, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)*(-1)\/2. Let q(t) = 6*t + u*t + t - 5*t. Let l(f) = 4*f**2 + 2*f. Let k(c) = -c**2 - c. Let p(s) = -2*k(s) - l(s). What is p(q(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4587*v**3 + 9099*v**3 - 4502*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109371139 a multiple of 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -268.2 take away 0.02?\nAnswer: -268.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32454 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*l + 5, -5*l - 4*q + 5 = 16. Let s be l\/(-3)*-2 - 3. Which is the closest to -0.1? (a) 1\/6 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 19 - 3. Let o be q\/(-8) - (-18)\/(-24). Let m = -3.5 - -1.5. Which is the nearest to o? (a) 3 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -8, -174372 in descending order.\nAnswer: 4\/7, -8, -174372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1668586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/18 + ((-128)\/30 - (-12)\/(-30)). Let c = -3 + 2. Put 3, c, 77, p in decreasing order.\nAnswer: 77, 3, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(612) + 1)**2 + 4)*6 - (sqrt(68)*1*5 - sqrt(68))\/((sqrt(4) + sqrt(64))*-1)).\nAnswer: 364*sqrt(17)\/5 + 3702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/42 - (-3)\/(-9). Let n = 83 - 81.5. Let m = -1.9 + n. Which is the closest to 0.05? (a) x (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-395))\/(1\/(-143)). Let c = r - 3\/79. Is -0.1 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*c - 25, 5*y = -5*c + 3 + 67. Suppose 8*r - y = 5*r. Let z(x) = 4*x - 4*x + 0*x**2 - r*x**2. Let m(o) = 2*o. Give z(m(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.13473?\nAnswer: 0.013473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - z - 7 - 379 = 0, 5*q = -z + 487. Suppose -5*p + q = 2*s, 0 = -4*s + 3*p + 143 + 38. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679333*s - 1 + 5 + 3358673*s - 1679336*s - 4 + 0.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.04 and 44.\nAnswer: 133.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144612 is divided by 572306.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8*y - 30. Suppose -2*b = b - 6, y*b = -t + 1779. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3082)\/(-469))\/((-1)\/7*(-4)\/(-4))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**14*c\/c**7*c*(c**(-4))**15 assuming c is positive.\nAnswer: c**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -84678 less than -84794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1105*x + 1400*x - 1180. Let j be (-1)\/((-6)\/8) - 2. Let u = -7.1 + 0.1. Which is the fourth biggest value? (a) j (b) x (c) u (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6. Let j(y) = 2*y + 211. Determine -j(l) + 6*w(l).\nAnswer: -2*l - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -29*f - 2120. Let o be h(-73). Which is the nearest to -29? (a) 3 (b) 0.4 (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 1:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432587 is divided by 478?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -3*a + z, 3*a = -a - 5*z - 124. Let w be a\/(-168)*5\/((-10)\/(-4)). What is the smallest value in 26, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19776533 by 4.\nAnswer: -19776533\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4066 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let r be (30\/(-9))\/(s\/(-6)). List the prime factors of 25\/2*r\/(-25).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10994693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -3a2?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-10))\/a)\/(a\/(a**(-16\/5)\/a)) assuming a is positive.\nAnswer: a**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q - 12. Suppose 3*g = -n + 17, q*n - 3*g + 2 = 5. Solve 2*z - 23 = -n*i + 5*z, 5*i - 21 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83691 and 13185?\nAnswer: 122607315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6092100 by 175.\nAnswer: -34812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s + 40. Suppose -s = 3*h + h. Is (1 - h\/2) + 5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*(-2)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 131.7687 and -338.\nAnswer: -206.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21020 - -12021?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*6\/2025*5.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1309 - 1304. What is the highest common divisor of 13645 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.591974 months to years.\nAnswer: 1.6326645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (8 - -3) - (1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 3*t**3 + 4*t**3)*(81 - 76 - 161 - 61).\nAnswer: -217*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6837\/(-212)*(-14)\/5*(-220)\/462?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -3*o - 382150 + 382126, 0 = -o + 4 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 + 4*n + 2. Let a be m(-5). Let j(h) = 2 - 5 + 3 + a*h. What is the remainder when 13 is divided by j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.31382 rounded to two decimal places?\nAnswer: -5.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/35 + (-17)\/(-5). Let s(d) = -1 + 3*d + 0 + 4*d. Is 10 a factor of s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 3*n - 1. Let f be u(3). Let a(k) be the first derivative of -k - 3\/2*k**2 - 6. What is a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120739*p**3 - 241475*p**3 + 120737*p**3 + 640 - 640.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -8*z - 28, 69*z - 74*z - 3*v = 34 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 5 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*k - 8724, -4*k = -2*j + k - 3493. Let w = 8344 + j. Round w to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1885 (base 11) to base 6.\nAnswer: -15024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -64. Which is smaller: z or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-1 - -6 - 4)\/(-1). Suppose -4*o = 4*w - 108, -z*w + 24 + 54 = 3*o. List the prime factors of (428\/12)\/(o\/9 - 3).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -692 + 691. Which is the nearest to 0.2? (a) 1 (b) j (c) 2\/3 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*p - 3 = 6, p + 31 = 5*i. Suppose -i - 1 = -4*r. Factor g - 3*g + g + g**2 + r*g.\nAnswer: g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16 - 7 - 4*a**2 + 8*a + 3*a**2. Calculate the remainder when x(7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/4))**(1\/10)\/(((l*l*l*l*((l\/(l\/l**(-14)))\/l*l*l)\/l*l)\/l)\/(l\/(l*l**(1\/5)))))**(-1\/33) assuming l is positive.\nAnswer: l**(-389\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/42*16\/((-320)\/(-390))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135, 270, 405?\n\"Answer: 135*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:56 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2353*k + 3392*k - 558*k.\nAnswer: 5187*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 3 = -25*n, -4*i - n = -1851. Let a = i + -458. Solve -2 = -g + t, g - 19 = 5*g + a*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 + 16*n**4 + 5295*n**3\/4 + 4795*n**2\/2 - 14366*n - 15456 = 0.\nAnswer: -46, -4, -1, 3, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 15*c = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 17233.\nAnswer: -42\/17233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = 23. What is the smallest common multiple of 5 and v + 5 + -2 + -2?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 334*d - 2315*d**4 - 22*d**5 + 7*d**2 + 2315*d**4 + 180*d wrt d?\nAnswer: -440*d**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 2 + 0*j**3 - 88*j - 4*j**2 + 1\/12*j**4. Suppose 5*s = 4*s. Determine r(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*t - 8 = t, 16 = 4*t. Find the second derivative of 670*r**5 + 4*r - a*r - 684*r**5 wrt r.\nAnswer: -280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2580\/330 + -6 + -2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39773*b + 28223*b - 9230*b - 104496*b.\nAnswer: -125276*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.82 - -81. Let y = 3.92 - 4. Let q = l + y. Round q to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-15)*14*((-8)\/(-2))\/((-147)\/(-84))\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 549617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = -d - 0*d, m - 3*d = 1. Suppose 6*l - m = -37. Let o(n) = n**3 + 7*n**2 + 4*n - 7. Give o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -5224?\nAnswer: 5228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 != 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/88 and -79\/14?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 3*v**2 - 4*v + 159*v**3 + 4*v - 157*v**3 - 76 as q*v**2 + j + x*v + n*v**3 and give j.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 35 - 16 - 3*j)*(0*j**4 - 2*j**4 + j**4).\nAnswer: 3*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 280 - 565?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 6. Let j be l(4). Suppose 0 = -i - 5*w + 31, 67 + 9 = j*i + 3*w. Suppose -3*x = -i - 25. Calculate the least common multiple of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/((-28)\/24 + 1\/(-3)). Suppose -z + 60 = -v. Let m = z - 421\/6. What is the third smallest value in -3, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9*x = 200. Let k = x + 19. Let b = -19 - k. What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21043 (base 5) to base 10\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19147787.\nAnswer: 53, 361279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 4*m - 23 = 0, 6 = -2*m. Suppose -130 = 5*i + 5*a, i - 3*a + 7 + z = 0. Find the common denominator of (-1)\/(i\/194) - -1 and 29\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 + 1238.72685.\nAnswer: 1236.92685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, 18, -3.\nAnswer: -3, -2, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let t = 0.028 - 0.458. Let l = 0.33 + t. Which is the closest to l? (a) 4 (b) 1\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Suppose -68 = 5*l - 53. Let t(b) = 2*b**3 - 2*b**2 - 4*b - 3. What is l*v(p) + t(p)?\nAnswer: 2*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 9. Suppose 2*m - r = -h - 2*h, -m + 2 = 0. Suppose -2*u - h = 3*s - 0*u, 0 = 2*s + u. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 5. Let q be l(13). Suppose -q = -7*g - 27. Suppose -j + 11 = -g. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/7 - 13*i**3\/7 - 16*i**2\/7 - 5*i\/7 = 0.\nAnswer: -5, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5*l**2 + 4*l**2 - 11*l**2 - l)*(-93*l - 45*l - 128*l) + 5*l**3 + 0*l + 0*l in the form g*l + h + n*l**3 + c*l**2 and give g.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/9 + 200*s**2\/9 - 212*s\/9 - 16544\/9.\nAnswer: -4*(s - 47)*(s - 11)*(s + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2183099, 2183097, 2183085, 2183057, 2183007, 2182929, 2182817, 2182665?\nAnswer: 2182467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12125280 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 183039867 to the power of 1\/2, to the nearest integer?\nAnswer: 13529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -49. Suppose 325 = 10*j + 75. Let v = m - j. Calculate the remainder when 62 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:50 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1261130)\/(-450))\/(-13) + (-2)\/9. Let o = -216 - w. Sort 5, -0.03, -1\/7, o in increasing order.\nAnswer: o, -1\/7, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 5, l: 6}. What is prob of picking 2 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 92.9516. Let f = 0.9956 + k. Let p = -0.186 - f. Round p to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 3. Let s be r(-4). Suppose 6 - 22 = -b - 3*y, -5*b + 70 = s*y. Solve -2*c = 5 - b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**6\/72 - i**5\/120 + i**3 - 126. Let w(a) be the third derivative of f(a). Give w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3154, -3153, -3152, -3151, -3150?\nAnswer: -3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -276 in 8.4, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25103 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-12 - -24 - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -83*p + 9960. Determine c(120).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let m(y) = y**2 + 5*y - 5. Suppose -6 = 4*h + 2. Let t(s) = -2 + 1 + 3 - 2*s. Let k(o) = h*m(o) - 5*t(o). Calculate c(k(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 250, 3, -3, -8 in increasing order.\nAnswer: -8, -3, -1, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.199957 - -8.2. Round f to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let g be 16\/(-2) - r\/(-1). Let k = 3 - g. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 51*i**2 - 28*i + 101. Let m(z) = z**2 + z - 2. Let y(d) = -4*m(d) + w(d). List the prime factors of y(6).\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - -17) + -18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1260 + -4?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29292480 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -44*r + 1558. Determine j(33).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17780 - -29437. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -497 + 477. Let r be (-21524)\/u + (-42)\/35. Round r to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 10:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24322058891811 and 0.34.\nAnswer: 24322058891811.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 19*j - 10*j - 55.\nAnswer: -29*j - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*m - 28. Suppose m = 2*n - 4. Solve 2*t - 6*t - 4*a - 12 = 0, -2*t - n*a - 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2950 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/11 + 31\/44. Let n(i) be the first derivative of -1 + i - 1\/2*i**2 + s*i**4 - 1\/3*i**3. Solve n(r) = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (401*o - 90*o - 4*o)*((2 - 4 + 0)*(1 + 0 + 1) - 2 + 0 + 1).\nAnswer: -1535*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15562 + 15618. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 81795*s - 163610.\nAnswer: 5*(s - 16361)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 i when three letters picked without replacement from tceectcecicet.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.7425 to zero dps.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3 (c) 2\/15 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-4)\/48 + (-837)\/(-12). Let z = t + -63. Calculate the greatest common divisor of 91 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28640 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -15324.43 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -377*f + 3. Let j be s(-2). Suppose -3*c - 4*l = -1243 + 108, -3*l = 2*c - j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h*h*(h*h**21*h)\/h*h))*h**5*(h*h**2)**(1\/23) assuming h is positive.\nAnswer: h**(693\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -967, -975, -997, -1039, -1107, -1207, -1345?\n\"Answer: -l**3 - l**2 + 2*l - 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 + x - 1. Suppose -2*m - 3 = 4*w + 9, 5*m = -3*w - 23. Let l be (-3 + (-22)\/(-8))*m. Let d be z(l). Put 4, d, 2 in ascending order.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10121122122 (base 4) to base 5\nAnswer: 243341131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/8 - 1879*p**2\/4 + 22575*p\/8 - 8469\/2.\nAnswer: -(p - 3)**2*(p + 3764)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10369, 10493, 10701, 10993, 11369?\nAnswer: 11829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 1 + 225*j**3 - 230*j**3 + 2*j**2 - j**4 to the form k*j + p*j**2 + q + u*j**3 + x*j**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-92)\/20 + 4)\/(4\/2595). Let o = b - -389. Put 0.04, o, 0.2, 0.5 in increasing order.\nAnswer: o, 0.04, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -5674?\nAnswer: -5676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 20*w**3 - 24*w**2 - 20*w + 22.\nAnswer: 2*(w - 1)**2*(w + 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = -7*a - 12, 3*q = -15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4 + r - 2*r + r - 4*r + r + 1 - 1 - r + (3*r - r + 3*r)*(-2 - 3 + 6).\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -23. Let a = 15 + n. Suppose 3*d - 3360010 = -2*s, d - 6*s = -a*s + 1119990. What is d rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55440 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 + 33*q**3 + 19*q**2 - 6.\nAnswer: -24*q + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -702 times -2\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {e: 2, p: 4, f: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 + 39*j - j + 4 + 38*j - 23*j.\nAnswer: -23*j**2 + 53*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151 and 6363\/6 - 14\/(-196)*-49?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251972219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 12*g**2 - 6*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36691 is divided by 173.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 15*k - 2. Calculate the remainder when 172 is divided by s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48342 (base 9) to base 4\nAnswer: 13321211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 7*y**4\/12 - y**2 - 73*y. Let q = -10 + -1. Let r(g) = -36*g**2 + 10. Give q*f(d) - 2*r(d).\nAnswer: -5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from tuhgutig.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 365*q + 2583. Calculate t(-175).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21210111 (base 3) to base 15.\nAnswer: -1a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3 - 3)*(-30*g - 48*g + 120*g)*(-4*g + 2*g - g).\nAnswer: 252*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 0*s + 3*s - 1 + 1 + s + (-4 + 2 + 1)*(5*s + 0*s - 3*s) + 2*s + 4 - 4 + 2*s + 0 + 0 + 2*s + 0 + 0 + 4*s + 0*s - 3*s - 11*s - 2 - 2 + 14*s.\nAnswer: 11*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 33 = 2*i. Suppose 0 = -n + 6 - 3. Suppose i = n*x - 51. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572 (base 12) to base 6\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 + 5*p - 2. What is j(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18780542.\nAnswer: 2, 11, 41, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 0.2, -1\/17, 1, 4 in decreasing order.\nAnswer: 4, 1, 0.2, 0.11, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -107 + 116 - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*g**2 + 71*d**3*g + d**3 + 63*d**2*g*h - 183373*d*g**2*h + 7*d - 2*g*h - 1 wrt g?\nAnswer: 6*d**3 - 366746*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from rbbrrrbbbrv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240424412?\nAnswer: 2, 60106103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - q + 1. Let o be n(2). Let v = -5 + o. Suppose -2*i + 6 + v = 0. Solve -i = 4*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -144758973, -289517949, -434276925, -579035901, -723794877?\n\"Answer: -144758976*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-12) + (-7)\/(-2))*9. Suppose -c*o + 245 = -13*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 7*s - 264. Let c = s - 2. Let i = -14 + c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**2\/2 - 3*s - 6. Give v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 6*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21914, -20462, -19010, -17558, -16106?\nAnswer: -14654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 340\/3. What is the nearest to -2 in 4, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27474)\/288477)\/((-4)\/(-56)*-1*(-16)\/(-46))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -74*a - 939. List the prime factors of g(-39).\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707554073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + 7 + -11 - (-2 + 18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102621 (base 11) in base 6?\nAnswer: 3305222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmppmppm. What is prob of sequence pmmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - n**2 - 1. Let z(h) be the first derivative of 5\/3*h**3 + 3*h - 1 + 1\/4*h**4 - 1\/2*h**2. Let g = -28 - -31. Determine g*p(j) + z(j).\nAnswer: -2*j**3 + 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l**2 + l - 4. Let k be c(-4). Let s = k + -131. Let q = s - 47. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3540 and 1177168?\nAnswer: 17657520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 12*r - 128. Let m be c(7). Solve 4*t - 36 = -4*j, -m*j + t + t = -17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p + 14*p + p**2 - 2*p + 5 - 4*p. Suppose -2*i - 11 = -5*s, 2*i + s - 6 - 1 = 0. Suppose -i*h - 35 = -7*h. Determine c(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17094 is divided by 73.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b - 2*y - 40 = 0, 0 = -5*y - 25. What is the greatest common factor of 120 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8522.514 litres to millilitres.\nAnswer: 8522514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18721030 divided by -13705?\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 13 - 821*m - 30 + 83*m as o*m + u and give o.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165 less than 5311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113301779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1283703, 1283779, 1283857, 1283937, 1284019?\n\"Answer: k**2 + 73*k + 1283629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*b - 4*s + 8*s, -10 - 3 = -3*b + 5*s + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*-0.27.\nAnswer: -0.1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4922700 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 4563?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 - 7*j**2 + 7. Let q(l) = 4*l**3 + 4*l**2 - 4. Suppose 30 = 3*o + 3*y, -3*o = -5*y - 16 - 30. Suppose -65 = -o*f - f. What is f*q(b) + 3*n(b)?\nAnswer: -b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 18, -14.72, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299 - 299. Let m = 0.159 - 0.059. Which is the third smallest value? (a) -5 (b) l (c) 4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546157.\nAnswer: 29, 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000509752539 rounded to seven dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 21*h = 15. Which is the closest to 0? (a) 0.3 (b) h (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - (3 - (2 - -2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 7\/2*v**2 - 6*v - 1\/4*v**4 + 2*v**3 - 3. Give n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.15199 and -24.\nAnswer: -51.64776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91748309 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 3319 = -2*v - 3051, -3*m = -5*v - 95 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvjdhiph. Give prob of sequence iv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.274 and -3?\nAnswer: 3.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z + z + 2*z - 5*z + (-1 + 1 - 1)*(-7*z + 2*z - 4*z) - 2*z + z - z)*(-z**3 + z - z).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3302*s + 197224 = -1086*s for s.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660393 and 876339?\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 - -0.81.\nAnswer: 2.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17436.\nAnswer: 2, 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 12. Let h = g - -9. Suppose 0*s + r = -h*s - 2, -r - 8 = -4*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/7 + 47728*w**4\/7 - 5306976*w**3\/7 + 137249152*w**2\/7 + 614207936*w\/7 + 636199680\/7 = 0. What is w?\nAnswer: -2, 58, 11820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = 83*h - 168*h + 136 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 (base 9) in base 4?\nAnswer: 10203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -536*n**3 - 20*n**2 + 188*n - 104*n - 86*n to the form m*n + x*n**2 + h + o*n**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 1051?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 138 = -6. Let m = -10 - z. Solve 0 = 7*q - 2*q - 5*s + 10, -8 = 4*q + m*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -147, -324, -571?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 10*z**2 + z + 7. Suppose 55 = 5*c - t, -4*c = -3*c + 4*t + 10. Let i be o(c). What is the greatest common factor of i and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -19*y**3\/6 + 4*y**2 - 31*y. Let k(d) = -6*d + 3. Let w(u) = 3*f(u) - 8*k(u). Let t(a) = 5*a. What is w(t(c))?\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(950) - -1*sqrt(950)))\/((sqrt(80)\/sqrt(5))\/(sqrt(2) - 5*sqrt(4)\/sqrt(2))).\nAnswer: -500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35790366223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*d = 18, 3 = -4*j - 3*d - 2*d. Let q = -3 - j. Let s be (-2 - (4 - -2))\/(q\/9). Calculate the greatest common factor of 84 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q - 72. Let j be (-12)\/q + 8\/(-6). What is the remainder when 39 is divided by (4\/10)\/(j\/(-50))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-9))\/((-581)\/747*1\/(-7))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10108 + 2366 = -l - v, v = -2*l + 15484. What is the greatest common divisor of 316 and l?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1223211103 (base 4) to base 12\nAnswer: -193017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -18. Let z = n - -2. Let r = -33\/74 - 2\/37. What is the nearest to 1 in 0.5, z, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 10 = 0. Let o(h) = -h**2 + 5*h + 1. Let n be o(w). Solve 2*j - 4*j = y - n, 3*y + 3*j - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16223, 32444, 48665?\n\"Answer: 16221*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*3 - sqrt(132))\/sqrt(12) + -1 + (sqrt(66)\/sqrt(6) + -5)**2*-1.\nAnswer: -37 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14330 and 0.0909056.\nAnswer: -14329.9090944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 615 = 0. Suppose -2*p - 5*x + 84 = -15, -3*x + l = 4*p. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75, -599, -2031, -4827, -9443, -16335, -25959, -38771?\n\"Answer: -76*u**3 + 2*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*k + 15*k. Suppose -25 = 5*j, -j + 3*j - 1 = -r. Sort 0, r, k in ascending order.\nAnswer: 0, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 93*g - 3754 + 3725 - 73*g. Let b(n) = 7*n - 10. Let l(h) = -h**3 - 2*h**2 - 3*h. Let p be l(-2). Let c(s) = p*k(s) - 17*b(s). Calculate c(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -1203, -1807?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 11909262?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z - 232. Let a be r(-17). Let v = -3 - a. Which is greater: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/18 + 5*z**2\/12 + 2*z\/3 + 13. Factor l(n).\nAnswer: (n + 1)*(n + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - -11)\/((-2)\/662) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3 + 3 - -49) + (8 + -14 - -1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f - 83*p = -70*f - 34*p + 229, 0 = 5*p + 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/3 + 4*z**4\/3 - 4*z**2\/3 + 2*z\/3 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7810376352 take away 347?\nAnswer: 7810376005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 67*f**3\/6 + 18*f**2 + 2*f + 3. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -11, -0.1, -2\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 0.06?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 7 - 27 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/70)\/((-20)\/(-15)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**2 - 4*m + 5. Let j(z) = 2*z**2 - 22*z + 2. Let f be j(11). Calculate the smallest common multiple of 33 and n(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 4*o - 2. Let q be (-6)\/10 + 51\/(-15). Let n be m(q). Let r = 28 - n. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*w - 26, 4*w - 3*v = -0*w + 29. Suppose -52 + 7 = -w*r. Let b be ((-2)\/(-78))\/(3\/r). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f - 178*f - 257*f - 2*f**2.\nAnswer: -2*f**2 - 319*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*x**4 - 554*x**3 + x + 9944 wrt x?\nAnswer: 16*x**3 - 1662*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 90*p + 828. Calculate the remainder when 303 is divided by y(-11).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/7 + 918*c**3\/7 + 17190*c**2\/7 - 1652886*c\/7 - 20765160\/7 = 0 for c.\nAnswer: -435, -51, -12, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10*l*((l*l*l**(1\/2))\/l)\/l*l)\/(l\/(l\/(l\/((l**(-9\/4)*l*l)\/l)))*l\/(l*l*l**(-10))*l) assuming l is positive.\nAnswer: l**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -1.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21769 (base 10) to base 6\nAnswer: -244441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003778129 rounded to 6 dps?\nAnswer: -0.003778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -91, -78, -29?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 788919\/32 - 24651. Let x be (-3)\/(-4) - 7\/28*-429. Calculate the common denominator of q and (5313\/(-46))\/((-5)\/((-10)\/x)).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252037653.\nAnswer: 3, 7, 379, 31667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 93. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*w - 44135852 = 84296985. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 11*b - 19. Calculate k(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t + 4. Let z be m(0). Suppose 13 = 5*s - n, 4*s - z*n + n = 17. Suppose 2*x - 23 = 5*v + 15, -s*x + 4*v + 38 = 0. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1854 and 16377?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j + 1. Let k be d(3). Let r be ((-12)\/3)\/(-4)*-1. Let u = r - k. Solve u = -h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -0*q. Let y be 2 + -7 + q - -5. Factor 0 - 2\/5*f**y - 2\/5*f**3 + 2\/5*f + 2\/5*f**2.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 3. Let v be (30\/(-8))\/(4\/16). Let x = -16 - v. Is x equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -9*u**5\/10 - u**4\/24 + u**3\/2 + 896*u**2 + 4*u. Let r(v) = -53*v**2 - v + 2. What is 3*r(i) - 2*w(i)?\nAnswer: -51*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)*2 - -99. Let o = p - -94. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/3273 + -258559\/13092. Let x be (-3 - -1)*(-1)\/2. What is the common denominator of k and x\/2 - 262\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54093978 divided by 6.\nAnswer: 9015663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 239971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h - 34 + 34)*(314581*h - 1035*h**2 - 314581*h) in the form l*h**3 + b*h + t + d*h**2 and give l.\nAnswer: 7245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1012?\nAnswer: -1\/1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -752*c + 3522. Let z be w(6). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*d**3 - 87*d**3 - 129*d**2 - 114*d**3.\nAnswer: 2*d**3 - 129*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 135a59?\nAnswer: 135a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 4*j**2 - 3*j + 3. Let z be (3 - 9)\/54 - (-2075)\/45. Suppose 45*a + 3 = z*a. Calculate u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16532164 is divided by 483?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k. Let o(r) = 4*r**2. Determine a(o(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14552 divided by 1?\nAnswer: 14552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-4 + 3*((sqrt(128) - (sqrt(128) + 1)) + 3 + (sqrt(128)*2*-4 - sqrt(128)))) + -5)**2.\nAnswer: -1296*sqrt(2) + 93321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (5 + -26 + 10 - -12 - 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405769 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14040 (base 6) in base 7?\nAnswer: -6240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 6394809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.84195 take away -2.6597?\nAnswer: -140.18225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 14*d + 4. Let h be s(-14). Suppose 5*l + h*z - 115 = -z, -3 = -l + 3*z. Calculate the remainder when 161 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3387*r - 5*f = -3388*r + 17, -r + 11*f = 12*f + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -159*v - 800. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5848 and -103\/7310.\nAnswer: 29240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/21 + 4\/(-14). Let b(a) = 3*a**2 - 6*a + 1. What is the remainder when b(z) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 2 + 148\/4. Suppose l = 5*k - 0*k. Differentiate 4*x**2 - k + 2 - 1 with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 31*y = -231. Calculate the remainder when y is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148845815.\nAnswer: 5, 103, 289021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1.4 (b) -0.48 (c) -4\/3 (d) -3\/5 (e) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 7*p - 15. Determine l(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y. Let o(j) = -18*j + 2. Calculate u(o(w)).\nAnswer: -306*w + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 6*v - 3*v + v - 3*v + 3*v + (-4 - 2 + 5)*(2 - 2 + 2*v) + 5*v - 4*v - 3*v - 2*v + v - v + 14*v + 11*v + 8*v - 3*v in the form m + b*v and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 58185 (base 9) to base 12\nAnswer: 1a54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.17 + -66.92552. What is o rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(308\/2)*34*7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 + p + 4. Let h be v(-6). Let b(l) = -3*l + 3. Let n be b(h). Suppose 3*f - 4*f = -3*r - n, -3*r + 9 = f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/56)\/(19\/(-18088)*12).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 27. Let r be (-1 - 0)\/c + 1. Let i(a) = 10*a**3 - 2*a**2 + 3*a - 3. What is the tens digit of i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075745 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 441185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 452 or 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 - 1 = 2*k, 3*p - 5*k = 13. Solve 3*m - 4 + p = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 3*t**8\/56 - 8*t**7\/35 - 7*t**6\/30 + 8*t**5\/15 - t**4\/4 + 3*t**2 - 29. Determine h so that w(h) = 0.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**3\/3 + 7*d**2\/2 - 12*d + 141. Let x be f(-3). Solve 6*i - x*i = 3*q, -q = 3*i - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from cctctidcitjj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 23. Calculate f(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 + 1. Let m be 2 - (3 - 2) - -2. Suppose 4*z = m*p + 10, z - 1 + 8 = -4*p. What is the remainder when z is divided by y(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 7*s - 4*s - 37, 2*s + 22 = 4*k. Let b be 30\/65 + k\/(-28)*0. What is g in 16\/13*g + 10\/13*g**4 - 2\/13*g**5 - b*g**3 + 24\/13 - 2*g**2 = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26769936 to the nearest integer?\nAnswer: 5174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(2\/(-12))\/(8\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7533073 by -21.\nAnswer: 7533073\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -153*k - 918. Let g be w(-6). Let j = -0.01 - -5.01. Let q = 5.5 - j. Which is the closest to g? (a) q (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -160 and 0.2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23000333 (base 4) to base 12\nAnswer: -2213b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4419 by 377.\nAnswer: -4419\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = 152112 - 152328 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -49 times 24945\nAnswer: -1222305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/(-4 + (-41)\/(205\/(-18))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 + 10*r. Suppose -18 - 2 = 2*p. Let m be g(p). Solve -4*j - 3*c + 2*c + 13 = 0, m = -j - 2*c - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Calculate the remainder when 20 is divided by -2 - ((-3)\/t + -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((6 - (-4 + 0 - -15)) + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203887466?\nAnswer: 2, 79, 1290427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - (82 + 12)) + 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 2, 1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*b + 2, -x + 11 - 15 = -3*b. Suppose -2*g + 5 + 5 = 0. Suppose -g*n - 50 = -b*t - 2*t, -n = t. What is the nearest to 2 in -2, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47869, 191482, 430839, 765940, 1196785?\n\"Answer: 47872*s**2 - 3*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 7\/15*k**6 - 50*k - 5\/12*k**4 + 0*k**3 + 3\/2*k**2 + 1\/20*k**5 + 0. Find the third derivative of x(h) wrt h.\nAnswer: 336*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325000319*-0.05.\nAnswer: 16250015.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956744.82 rounded to the nearest 100?\nAnswer: 1956700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k - 19. Let v(f) = -9*f + 38. Let d(u) = -11*p(u) - 6*v(u). Let s be d(-13). Let g be 2\/9 - s\/(-27). Let a(y) = -y**2 + y + 3. Calculate a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/324 and -71\/30483.\nAnswer: 365796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5 + 5 + 7*x + 7*x as k + z*x and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 3:51 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4340 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**3 - 286*r**2 + 1210*r - 120. Give g(67).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 7*z**2 - 7*z + 4. Let s be f(-6). Let o be 52\/s - 4\/20. Let 5*d**3 + 3*d**3 - 12*d**o - 20*d**4 - 16*d**5 = 0. What is d?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0158? (a) 31 (b) -1 (c) 7200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53385991*d**3 + 133387600?\nAnswer: -160157973*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 6*t + 83, -276 + 326 = 8*b - 5*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11338 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4966882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1153516216 to the nearest integer?\nAnswer: 33963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297755.\nAnswer: 5, 17, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2927\/18941 + -1\/1457. Suppose 4*o = 2*o - 10. Sort 0.3, o, n.\nAnswer: o, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*r + 73*r + 375 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (1 - -42)\/((15 + -13)\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(133)\/(5*sqrt(14)\/sqrt(2)).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1) + 9 + (9 - 42) + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let z be (-4)\/5*(-10)\/4. Let c be z - ((1 - 2) + -4). Solve 2*o + 3*q = -8, k = o - 5*q + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121001022100101 + 12?\nAnswer: -121001022100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 15*w + 24. Let k be c(-19). Calculate the common denominator of 23\/345*k\/2 and (-724)\/(-240) + (-1)\/((-12)\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 17*i + 20*i - 24 = 0, 3*a - 5*i = -34 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11429 divided by -11?\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -18*j**2 + 3*j. Let r = 19161 + -19158. Let k(g) = 235*g**2 - 40*g. Give r*k(u) + 40*f(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqmqnnqqqnmn. What is prob of sequence qqmm?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -79. Sort 5, t, -5, 3 in descending order.\nAnswer: 5, 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 4*v**3 + 5*v**2 - 570 + 568 + 5*v - v**4 as d*v**4 + o*v**2 + f + l*v**3 + m*v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -14, -15, -18, -23, -30?\n\"Answer: -l**2 + 4*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(605).\nAnswer: -4 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Suppose 11 = -d*h + 66. Let o = h + -8. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8077, 1\/737, -4 in decreasing order.\nAnswer: 1\/737, -4, -8077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 336 in 7, -0.3, -3, 70\/57?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1.2, 0.7, -0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c + 35. Let t(l) = -l**3 + 7*l**2 + 3*l - 17. Let u be t(c). Let b be (82\/u)\/(10\/(-20)). Which is bigger: b or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*y + 25158 + 792 = 0, -3*j - 2*y = -15567. Suppose -10*k + j = 9*k. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from uuucuc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 868 and 5880.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 91*m**2 - 52*m - 229. Let r be q(-46). Calculate the greatest common factor of r and 9541.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84042146?\nAnswer: 2, 42021073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11942225 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70\/37 + 29\/74. What is the smallest value in 4, 97, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 25*f**2 + 48*f - 18. Calculate the smallest common multiple of 6 and r(23).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832151960.\nAnswer: 2, 3, 5, 83, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 - 43*u - 3129. Determine n(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*q - 9*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*i + 335637 = -2597*i + 47433 for i.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626207.\nAnswer: 626207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10023 - 290697\/29. Is f at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23543 divided by 13\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12297*s**3 - 2*s**2 + 2*s + 1599215 wrt s.\nAnswer: 36891*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133950 and 51935?\nAnswer: 29602950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 535. Which is smaller: d or -291?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(14) - (sqrt(14) + sqrt(224)))*-3 - sqrt(168)\/(sqrt(36)\/sqrt(3))))\/(sqrt(343)*-1 + sqrt(14)\/sqrt(2)*3).\nAnswer: 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4636 and 97\/13832?\nAnswer: 843752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*b + 118*b + 6*q + 83, -2*q = b + 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*k)*(0*k + 2*k - 3*k) + 4*k**2 - k**2 + 0*k**2 + 6*k**2 + 2*k**2 - 2*k**2 + k**2 - 5*k**2 + 10*k**2 to the form d*k + r*k**2 + c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3326 divided by -66.\nAnswer: -1663\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 26 = -10453*x + 10450*x, 15 = 4*f + 2*x + 2*x + 26 + 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 + 15*k**2 - 3*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3128 = 3*b, 3*u = -11*b + 3*b + 9392. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyii when four letters picked without replacement from xiixiixithihyhihi.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 = -23. Let v = -19 - -16. Let w = v + b. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(1100) - (-1 + sqrt(1100)))*-3 + 5 + (sqrt(1100) - sqrt(1100)*1)*2*-5 + -1)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 5. Let u = -1 - -3. Let t(g) = -32*g - 222. Let i be t(-7). Let l(p) = i - 1 - u + 0*p - p. Determine -c(j) - 3*l(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:16 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 1. Let g be 9 + 4\/(-2) + w. List the prime factors of ((-20)\/g)\/(4\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34384, 68902, 103422, 137944, 172468, 206994?\n\"Answer: f**2 + 34515*f - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/4 + (-47)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*i - i. Let u be 2\/(-8) + (-4190)\/40. Let q be 2\/5 + u\/75. Is i greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)\/(m*m**(-11\/3)))\/((m\/(m*m\/m**(-3)))\/m)**(-2\/17))**(-46) assuming m is positive.\nAnswer: m**(-3703\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/3 + 1504*o**2 + 36148*o\/3 + 18080 = 0.\nAnswer: -6, -2, 4520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*d**3 + 2*d - 64*d**3 + 10*d + 8*d**3 + d**3.\nAnswer: -109*d**3 + 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.021 + 1.721. Let d = 1.6 - r. Let i be (-4)\/(-6) - 5\/(-3). Which is the closest to 0.1? (a) d (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(132) + sqrt(132))*1 + -5*(sqrt(132)*4 - sqrt(132)))\/((sqrt(4800)*2 - sqrt(4800))\/(sqrt(144)\/sqrt(9))).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 19 - 31 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 8 + (-13 - 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 4*c - 9*c**4 + c**4 + 47*c**3 + 1 + 54*c**3 - 5*c - 94*c**3 in the form f + j*c**4 + y*c**3 + g*c**2 + k*c and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*q + 22 = 3*m, 4*q = -2*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 80 = -6*a. What is the lowest common multiple of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 3 - 59)*(-o**2 + o**2 + 2*o**5).\nAnswer: -154*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 - 20709*d\/2 + 31059 = 0. What is d?\nAnswer: 3, 20706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 25*b**2 - 3*b - 54. Let t be s(-25). Let v(g) = -t*g + 12*g + 7*g + 5*g. Let w(c) = -6*c - 9*c + 14*c. What is v(w(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 278*z**2 - 3864*z + 8856 = 0. Calculate z.\nAnswer: -123, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*a = 19, 3*a - 4*a - 1 = -3*v. Let n be (-14 + 2 + v)\/(-2). Find the third derivative of 3*h**5 - 14*h**n - 4*h**2 + 11*h**2 + 9*h**2 wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0908 rounded to three decimal places?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-12 - -9))\/((-2)\/74). Suppose 2*o - 3*v = o - 5, o - 13 = -3*v. Sort k, -1, o, -3 in decreasing order.\nAnswer: o, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3135 and 33155?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406906 by 31.\nAnswer: 13126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53542183, -53542181, -53542179?\n\"Answer: 2*j - 53542185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -20. Suppose 2*o - i = -r - 0*r, -r = -2*o + 8. Let g be (0 + o + -5)*-2. Let p(b) = 2*b**2 - 2. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293864 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: Does 151 divide 534789586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 434600 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 114, 394, 880, 1590, 2542, 3754, 5244?\n\"Answer: 3*x**3 + 85*x**2 + 4*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by 69\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.73 + 1.81. What is the biggest value in 1\/2, p, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2964?\nAnswer: 2962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, s: 4, j: 8}. Give prob of picking 2 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3546 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022784278 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(136)*2)\/sqrt(8) - sqrt(17) - sqrt(17)) - (-1 + sqrt(34)\/sqrt(2) + -4)) + ((sqrt(833)*1 - sqrt(833))*3 + sqrt(833) + 1 + 0)*1)**2.\nAnswer: 60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 505481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.19324mm to micrometers.\nAnswer: 76193.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -11, 8\/3, -0.4, -0.2?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1)*(-2)\/(-4). Let s(i) = 9*i**2 + 2*i - 1. Is s(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184093 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*h + 7*h. Find the common denominator of (6\/70)\/((-3)\/((-255)\/(-2))) and (h + -2)*(-214)\/(-48).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p + 22. Let x be r(9). Calculate the highest common factor of 37 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 238, 240?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e20d4 - 0?\nAnswer: -e20d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**3 - 1. Let x be o(1). Let n(q) = q**3 + 7*q**2 + 5*q - 4. Let m be n(-6). Let j(w) = 2 + m*w - 8*w + 5*w. Determine j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 180?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k - 3*g = 63*k + 11832, 0 = -2*k - 4*g + 11832. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -153250577 rounded to the nearest 1000000?\nAnswer: -153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*d = -101, -3*d + 85 = -4*q - 44. Let w be (-1)\/3 + 154\/q. Put w, -4, 1 in ascending order.\nAnswer: w, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -6*g**3\/5 + 273*g**2\/10 - 183*g + 8105. Factor k(r).\nAnswer: -3*(r - 5)*(6*r - 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195567 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14338.\nAnswer: 2, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 29454, -1\/4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 38*c**3 + 5*c**2 - 4*c + 4. Let k(a) = -a**3 + 2*a**2 - a + 2. Give -j(v) + 3*k(v).\nAnswer: -41*v**3 + v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14308 + -14282. Let l = 5 + -7. What is the closest to 1 in 1, a, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.89 + -0.11. Let y = -102 + 105. Let s = v + y. Which is the third smallest value? (a) -0.1 (b) -3\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/135822 and -49\/139770.\nAnswer: 3163973490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14897 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, -1, 1, 2\/25, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6267 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1102 by 551.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j + 146. Let f be c(19). Let i(u) = 4*u**2 + 15*u + 2. Let w(d) = 2*d**2 + 7*d + 1. Calculate f*i(p) + 13*w(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(5)*2)*5 + 5 + sqrt(19) + sqrt(1539)*1)**2.\nAnswer: 125*sqrt(19) + 11975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 11:59 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343767 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((sqrt(51)\/(sqrt(30)\/sqrt(10)))**2*3 - (0 + sqrt(153) + (sqrt(153) - (sqrt(153) + 1))**2)).\nAnswer: -152 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, 2, -403, 0 in descending order.\nAnswer: 2, 0, -165, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijecjsihsjs. Give prob of sequence iess.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfi when three letters picked without replacement from fzfzfiii.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3499 divide 331540747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 9*o = 0. Suppose -2*z = z + 348. Calculate the remainder when o + z\/(-2) + -2 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = q - 2*q, -4*q = 5*j + 1. Which is the closest to 3\/7? (a) 0.3 (b) j (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**3 - g**2 - 9*g + 35. Let b be q(-6). What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 6864 = -25*t + 5675 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/11914 and -51\/13732?\nAnswer: 81801524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440970 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436547841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 18. Let u = i - -2. Let c(r) = -4 - u*r + 5*r + 1 - 4*r**2 - 5*r. Let m(t) = -t**2 - t - 1. Calculate -c(w) + 3*m(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 70)\/(-1 - 22\/(-28)). Calculate the highest common divisor of 46 and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11949, -4, 26.5?\nAnswer: -2\/11949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62789 - -512793. Let y = 187816 - 97811. Suppose 5*f - 4*k = -q, f - y = 2*f - 5*k. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15838.8832?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q**4 - 3*q)*(2 - 2 + 3) + (q - 5*q + 6*q**2 - q**3 + 3*q)*(-4*q + 0*q - q).\nAnswer: 2*q**4 - 30*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713 and 263005?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 24, 22, 20, 18?\n\"Answer: -2*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v + 804 = 102*v - 27*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 + 0 - 1) + (-22 - -12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2129 + 153*z**2 + 2129)*(-3 - 2*z + 3)*(-8 - 16 + 2*z - 1) in the form d + b*z**2 + k*z + a*z**4 + g*z**3 and give g.\nAnswer: 7650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6740*k - 26879*k + 6723*k + 2 + 6745*k + 0 + 6736*k.\nAnswer: 65*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 378 + -372. Calculate the smallest common multiple of 41 and b.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541 divided by 5689\nAnswer: -541\/5689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 0*n + 2*n, 3*n + 6 = 0. Differentiate z + d + z - 1 with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - -1) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 796989.87 to the nearest one thousand.\nAnswer: 797000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51425*r + 51578*r + 2907 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 1. Let d(k) = 3*k**2 - k - 2. Determine 4*b(q) + 2*d(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 57740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 23819, 128 in increasing order.\nAnswer: -2, 4, 128, 23819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12191881310034?\nAnswer: 12191881310032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = 14*d. Suppose f + 2*w - 11 = 5*w, d = 3*w. Solve 0 = -2*x - 4*h - 2, -5*x + 0*x = 4*h + f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/((-4)\/(-16)). Solve 2*u + c*u - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 8. Let t be -3 - (-37)\/2*(-10)\/5. Let c = t - a. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 2231*b**3 + 887*b**2 + 256924333*b wrt b.\nAnswer: -24*b**2 - 13386*b + 1774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 2*m**2 - 15 - 9*m + 2*m**3 - 9 to v + c*m**2 + y*m**3 + j*m and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202110 + 2?\nAnswer: 11202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((-3)\/(-1) - 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*y + 115*y + 2869 + 4607 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394422 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14763020)\/(-28) - ((99\/21 - 7) + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 194962000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.390735 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 661513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (139*v - 12981 + 12981)*(14 - 14 - 11*v) in the form s*v**2 + m + n*v and give s.\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-4 + 7 + 6)*(-6*a - 5*a + 6*a).\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3 + (-6 - -11). Let o be 1 - f\/((-2)\/(-5)). Suppose 20 = -2*t - 3*t. Are o and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -406*z**2 + 17*z + 17. Let w(a) = 135*a**2 - 6*a - 6. Give -6*g(f) - 17*w(f).\nAnswer: 141*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {l: 11, i: 1, w: 4, j: 1, n: 2}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6915*i**3 + 6881*i**3 - 13788*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15765481*j**3 + 11*j**2 - 3604.\nAnswer: 94592886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*v**2 + 35*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 1302*t + 23004. Determine d(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 961358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 185 = -7*s. Let x = -50 + s. Let g(c) = -c**2 - 11*c + 28. Let r be g(x). Solve 0 = r*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 + o**3 + o**2\/2 - 2*o. Suppose 56*n - 8 = 58*n. Determine f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -434163*s + 336635 wrt s?\nAnswer: -434163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*l - 2*l - 40, 0 = -2*k - 5*l + 40. Calculate the highest common factor of k and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**4 + 8*i**3 - 30*i. Let n(u) = 12*u**4 - 8*u**3 + 31*u. Let k(x) = -3*n(x) - 4*t(x). Find the second derivative of k(h) wrt h.\nAnswer: 48*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwdddqdjqqqdwdq. Give prob of sequence wudj.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1)*(-3*a**3 - 2*a + 2*a + (0*a**2 - 3*a**2 + 5*a**2)*(-3*a - 17*a + 3*a)) as b + m*a**3 + j*a + r*a**2 and give m.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l, 5*m - l - 330 = 0. Let q = -21 + m. Let y = -73 + q. Put -3, y, -4 in ascending order.\nAnswer: y, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - t + 1. What is the remainder when x(2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 28. Let b be (6 - c)\/(2\/(-2)). Suppose -4\/7*x - 2\/7*x**b + 0 = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiu. What is prob of picking 1 u and 1 i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17568191 and 5?\nAnswer: 87840955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1853, 4, -31 in descending order.\nAnswer: 4, -31, -1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*y + 3*h - 1, 0 = y + 2*h - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -63 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -2\/3 (c) 14 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*d + 10 - 32 = 0, d = 3*v - 4. Let o(h) = -h**3 + 3*h**2 + 2*h + 4. What is o(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13201201 - -1120030?\nAnswer: 20321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 4. Let x be z(7). Suppose -m - 1 = -x. Let h = 880 + -872. Calculate the greatest common factor of m and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let d = -53 - -46. Let z(w) = 6*w - 4. Let c(g) = 12*g - 9. Let s(u) = d*z(u) + 4*c(u). Calculate s(f(o)).\nAnswer: 6*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**2 + 37*w + 5. What is t(2)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 30 = -0*c - 2*i, 48 = 2*c - i. Let k be (-3)\/(-24)*c + -3. Which is smaller: k or 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - 1 - (-253 + 111 - -40).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-34)\/(-153)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017146 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - s + 8. Let b be v(-6). Suppose 0 = -7*d + 2*d + 130. Let w = d - b. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669496691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 38. What are the prime factors of 626\/j*60\/(-12)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -1\/20 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Suppose -j - 2*j - 15 = 0. Let w(t) = 25*t - 67. Let z(k) = -19*k + 52. Let u(s) = 7*w(s) + 9*z(s). Determine j*x(v) - u(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.31 rounded to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*f - 110*f - 48*f - 1025. Let x(l) = -6*l - 2. Let r(n) = -11*n - 5. Determine f*x(v) + 3*r(v).\nAnswer: -3*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12780, -12781, -12782, -12783, -12784, -12785?\n\"Answer: -m - 12779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 - 83. Let o be (t\/6)\/((-11)\/(-33)). Suppose -o = -5*x + 3*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) - sqrt(50)) + -5 + sqrt(24)\/(sqrt(108)*-1).\nAnswer: -13*sqrt(2)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -24. Let j(x) = -10*x + 52. Calculate the remainder when j(5) is divided by 4\/(-10) - (-36)\/w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372435 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 30*o - 2. Let q(u) = 2*u - 1. Give h(b) - 3*q(b).\nAnswer: 24*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 8*o**2 + 9*o - 2. Let m be 5\/10 + (-15)\/(-2). Let g be l(m). Let h = -29 + g. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23313230 - -2?\nAnswer: 23313232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i + 0*i + 2 + 6*i. Determine p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 11*a**2 - 12*a - 15. Let v be f(-10). Suppose 0 = 2*i - v*d - 23, 4*d - 3 = -3*i + d. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j**2 - 3 + 3 - 33*j**2. Let d(l) = -2*l - 3*l - 3*l + 13*l - 7*l. Calculate d(q(h)).\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 165 = 4*s, -4*o = s - 3 - 27. Solve -4*l + 23 = f, -9 = -2*l - 3*f + s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2858, 2853, 2848, 2843, 2838?\n\"Answer: -5*o + 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.8. Let j(u) = u - 2. Let o be j(10). Suppose p = -p + o. Sort -0.1, p, c in descending order.\nAnswer: p, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3330 - -16566. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513\/38 - (-210)\/(-15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeesemjjws. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from {b: 1, r: 3, t: 2, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -74?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20401855*x**2 - 9401204*x.\nAnswer: 40803710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - 0.09. Let b = -8.16 - v. Let t = b + 13. What is the second smallest value in -0.4, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106459236 and 2448.\nAnswer: 425836944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -2, -1\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2054 or 1388?\nAnswer: 2054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1678 = 3*u - 2*c, c + 2*c = -2*u + 1097. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*o + 1280 - 1280. Let u = -85\/4 - -22. What is the nearest to o in 4, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 11) in base 3?\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 17*l - 14. Let k be (-5 + 2 + -12)*-15. Suppose -4*u = -6*n + 5*n - 441, 2*u = 5*n + k. Calculate the remainder when u is divided by m(14).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131365 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.97 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c + 5256 = 1032. Suppose -5*v - 120 = 180. Let j = v + c. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20594*q + 1025. Is r(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -55, 2\/3, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6 plus -0.3?\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 15, 94, 257, 534, 955, 1550?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23170 + -a8?\nAnswer: 23073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 13. Give v(-16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*c + 6*c. Suppose -4*f - 28 = -5*r, f - c = -3*r - r. Suppose -5*x + r = -1. Solve 4*p - 3 - x = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {j: 1, t: 2, y: 1, r: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from pvfpvpppzpbpzbpabp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let w(u) = u**2 + 4*u + 2. Let q be w(s). Let o(v) = -1. Let h(n) = n + 5. Determine q*h(t) - 3*o(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 + 2*w + 4. Let d be v(4). Let g be (-16 + -4)\/5 + -84. Let n = g - -2377\/27. Which is the biggest value? (a) n (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/7 - 32*y - 896 = 0?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*o + 70. What is the remainder when 43 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 88. Let q be p(25). Let t(d) = -q - 22*d + 21*d + 42. Give t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153 - -208) + (5 - 119).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-11))\/((-5)\/(-2) - 1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-195))\/((-7)\/(-42))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 7*w - 2*n + 34, 82 = -3*w + n. What is the units digit of w\/(-4) + -4 + (-9009)\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*h - 30 = 2*o - 904*h, -5*o + h - 75 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-seven quarters of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8779067 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -94, -78, -52, -16, 30?\n\"Answer: 5*v**2 + v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 7*r - 3*r. Let a(l) = l - 2. Let h be a(4). Suppose h*b + 36 = 5*b. What is the remainder when r is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 435 = -3*o, n = -3*n + 5*o + 1689. Is n\/8 + 8\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*y = -4116, 0 = -0*p - 2*p + 4*y + 2064. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142 - -2322201?\nAnswer: 2323343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242619 and 65?\nAnswer: 1213095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -203, -403, -613, -839, -1087, -1363, -1673?\n\"Answer: -q**3 + q**2 - 196*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(10)\/(sqrt(14)\/sqrt(7)))**2.\nAnswer: 10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/(-460)*25\/(-3). Let m(n) be the second derivative of -5*n + h*n**4 + 0*n**2 + 5\/12*n**5 + 1\/2*n**3 + 0. Find s such that m(s) = 0.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - -37.8. Let f = -108 + k. Let u be 2*1\/3*-3. Which is the second smallest value? (a) u (b) 7 (c) f (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**3 - 2*w**2 + 4*w + 4. Let b(s) = 11*s**3 + 3*s**2 - 7*s - 7. Let l(q) = 4*b(q) + 7*j(q). Factor l(o).\nAnswer: 2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12)*(-26)\/(1820\/(-75)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b - 3. Let j be (0 + -1)*3 - (-5 + (-1)\/1). Let z(r) be the first derivative of 12 - 5*r + r**j + 5\/2*r**2. What is 5*u(h) - 3*z(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 189 = -6*p. Suppose 0*k = -7*k + p. Suppose k*m - 432 = -3*c - c, 0 = -c. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w - 454. What is f(-26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 252.4? (a) -0.5 (b) 2 (c) -23\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26211901?\nAnswer: 26211901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -497263771*p**2*v + 463*p - 322079*v wrt p?\nAnswer: -994527542*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24449 or 46811?\nAnswer: 46811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - (4 + (-4 - -3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 339\/11 + (-100 - -69) + (-996)\/(-154)\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2 + 2 - 3*z. Let b(a) = 2049*a - 63. Let f(h) = 65*h - 2. Let y(l) = 2*b(l) - 63*f(l). Give y(n(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5062.\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2083 + -2081. Let d = 0 - -1. Which is the nearest to u? (a) 0.7 (b) d (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 40*d**2 - 41*d + 1092. Calculate the remainder when j(41) is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729 > 9732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 984\/33 + (-4)\/(-22) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 225987104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1*-6 + sqrt(136) + sqrt(136)*-2*6)*5)\/(sqrt(8) - (sqrt(392) + sqrt(392)*-3) - (-1*sqrt(64))\/sqrt(8)) + 3.\nAnswer: -25*sqrt(17)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let n(y) = 5921*y - 5921*y + 13*y**2 + 4*y**2. Let c(s) = -2*s. What is n(c(r))?\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2092 and 381267?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 3*z + 1. Suppose 2*l + 10 - 64 = 0. Let d be (l\/(-18))\/(1\/(-2)). Give t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 63 - 64)*(-d - 2*d + 0*d).\nAnswer: 246*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) - ((-36)\/(-8))\/3. Let a be (0 - d)\/((-20)\/(-120)). Let g(b) = -3*b + 3. Let z(f) = 3*f - 4. Calculate a*g(t) + 5*z(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = 4*y - 15, 3*y - 2*h + 4 = 0. Let f be (4 - y)\/(-4)*(-1 + -3). Suppose -5*o = 2*c - 592, -f*c + 2*o - 297 = -3*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let w = 1.9 - m. Suppose -3*h - 12 = -0*y - 3*y, 3*h + 3*y = 0. Which is the third biggest value? (a) w (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + 4 - (-3 + 7). Let j(y) = 4*y**3 + y**2 - 12*y - 6. What is the units digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*(-24)\/9. What are the prime factors of l\/(((-3)\/(-47))\/((-18)\/(-12)))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110606 (base 7) to base 6.\nAnswer: 230152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3583 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 289878, 579754, 869620, 1159470, 1449298, 1739098, 2028864, 2318590?\n\"Answer: -q**3 + q**2 + 289880*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = 369*k + 2874 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -91900 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 2. Let h(b) = -118*b**4 + 2*b**2 + 28. Let t(l) = h(l) + 2*v(l). Find the first derivative of t(i) wrt i.\nAnswer: -472*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2278169.\nAnswer: -2\/2278169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.797578um to kilometers.\nAnswer: 0.000000009797578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**2 - 4*z + 1. Let b be w(-5). Let u = 623 - b. What are the prime factors of u?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 + -1715. Is -1998 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-9))\/(-1*8\/12)*160209\/2543.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:31 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdxx when four letters picked without replacement from wwdwxddwdddxd.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 20, 2*n - 3*d = -9 - 2. Let s be -1 - n\/((-2)\/5). Determine g so that 2*g**3 - 14*g - 5*g**2 - g**5 - 11*g**3 + 5*g**s + 12*g**2 + 12*g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9413, 9306, 9199, 9092?\nAnswer: 8985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/220))\/((-2500)\/1250)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/10 and -51\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3 - 3 - a**2 + 2 + 10*a - 4. Let t be c(10). Let h = -0.05 - -1.05. What is the biggest value in t, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 44 - 36 = 0. Let j be -6*b\/(-12)*1. Solve 3*r - 3*h - 7 = -1, -4*h - j = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b - 3, -b - 23 = -4*q. Let y = 273 + -290. Sort q, -2, -5, y.\nAnswer: y, -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 205772.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -83\/156 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 2460 = -1492. Let m = k + -2126\/7. What is r in -4\/7*r + m + 2\/7*r**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 86*j**2 - 38*j - 44. Let x(n) = -43*n**2 - 19*n - 22. Let o(k) = -2*g(k) + 5*x(k). Calculate the remainder when 483 is divided by o(22).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 0*n**2 + 0 - 4\/3*n - 1\/3*n**4 + n**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870824240 divided by -5.\nAnswer: -174164848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36866180231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 23 + 36*j**2 - 14.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 - 15*y - 1. Let v be r(4). Let o(h) = h**2 - h - 2. Let q be o(-2). Solve v*t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1160879077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/21)\/(1500\/(-28000))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.053954 * -2\nAnswer: 0.107908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 198157.\nAnswer: -990785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 4. Let x(o) = 4*o - 3. Let c = 6 - -10. Suppose 0 = -f - 20 + c. Let k(i) = f*x(i) + 3*r(i). Give k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -867.7\nAnswer: 433.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(33)\/sqrt(3)*-1) + (-1*sqrt(275))**2.\nAnswer: 2*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 5 + (3 - 4 - 1)*(1 + 0 + 1) + 3 - 6 + 2)*(-126*c - 641*c - 1560*c) as x*c + z and give x.\nAnswer: 6981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1789776 divided by 149148.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386\/252*(-4)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 10) in base 16?\nAnswer: 28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65588760 and 2109580.\nAnswer: 721476360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k, 3*c - 70 = 2*k + 218. Suppose -3*l + l = -2*f - 24, -3*f = -5*l + 60. What is the greatest common divisor of c and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/10 + 437*b**2 - 52573*b\/10 + 24101\/5.\nAnswer: (b - 11)*(b - 1)*(b + 4382)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 - j**3\/3 - j**2\/2 + 29*j - 17. Determine c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:13 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/7 - 1076*v**4 + 37698*v**3\/7 - 45252*v**2\/7 = 0.\nAnswer: -3771, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14339363.\nAnswer: 181, 227, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111222102210 - -2?\nAnswer: -111222102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3615185 is divided by 258226?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, 1 l, and 1 j when four letters picked without replacement from {b: 6, h: 2, c: 2, i: 1, l: 2, j: 4}.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479 is divided by 308.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2304511 by -2304511.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 * -29056\nAnswer: -348.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.31009 minutes to nanoseconds.\nAnswer: 1578605400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 6. Let b(m) = -3*m + 6. What is 6*b(v) - 5*l(v)?\nAnswer: 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 4*k**3 - k**3)*(k + 4 + k - 6) + 2*k**4 - 4*k**4 + k**4.\nAnswer: -5*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 4, 2*f + 3*a - 13 = 0. Let k(l) = 5*l - 7. What is the tens digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -164 (b) -0.2 (c) -2\/1735 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 34 - (93 - 110)) + (-1 - (0 - 0)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 0. Suppose m = 3*g - 83 - 241. Calculate the greatest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2548 and 206856.\nAnswer: 10135944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-300))\/(-4 + 527\/155).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(119) - sqrt(119)) + sqrt(119) - sqrt(119))\/(sqrt(448) + -3*sqrt(448) + sqrt(448)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -142.00001544. What is i rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-1 + (8 - 5) - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3174 and 2169429.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 35. Give q(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c - 41*c + 3*u = -34, -2*c - 98 = 5*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2375 divided by -27014.\nAnswer: 2375\/27014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -438, -107, 530, 1575, 3130, 5297?\nAnswer: 8178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-990))\/(314\/(-2355))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 40640.897 and 0.95.\nAnswer: 40641.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 39. Let q be b(21). What is the second derivative of q*c**2 + 684 - 348 - 337 + 18*c wrt c?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 199 - 95 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 23144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(175) + 0))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/150 + 11*b**4\/90 + 7*b**3\/9 + 5*b**2\/3 + 17*b. Factor i(k).\nAnswer: 2*(k + 1)*(k + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 46*g + 2*g**4 + 6 + 1986*g**2 - 1984*g**2 in the form y*g**3 + v*g + f + z*g**2 + n*g**4 and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1477b1 (base 12) to base 11\nAnswer: 216239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14388 - 62362 = -2*p, 0 = 2*p - s - 47986. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v + 8. Suppose 5*y + 1 = 8 + 33. Calculate the least common multiple of y and l(-7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + 20 = 0. Suppose -168 + 138 = -10*g. Calculate the remainder when v is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 12*q**2 + q - 1. Let s be t(6). Let y(n) be the first derivative of 18\/5*n + s - 6\/5*n**2 + 2\/15*n**3. Factor y(o).\nAnswer: 2*(o - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 28\/3 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -533 + 3?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(1\/20 + (12186\/280 - (-30)\/21)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 278*v**2. Let i(g) = -2*g - 25127. Determine i(k(o)).\nAnswer: -556*o**2 - 25127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-20) - 3*4\/(-60).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167246, 334481, 501690, 668861, 835982, 1003041, 1170026?\n\"Answer: -2*x**3 - x**2 + 167252*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 613201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18326 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: Expand (0 - 2*x + 0)*((2*x + 1 - 1)*(-2 + x + 2) + 44*x + 28*x**2 - 44*x - 2*x**2 + 0 + 0 + (x - 1 + 1)*(-2*x + 2*x + x)).\nAnswer: -58*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -136*v**2 + 6*v + 6. Let s(i) = 109*i**2 - 5*i - 5. Let j(n) = -3*b(n) - 4*s(n). Let f(p) = 28*p**2 - p - 2. Determine 3*f(o) + 2*j(o).\nAnswer: 28*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 2*m**3\/3 - 9*m**2\/2 - 2*m. Let f be c(6). Solve w - 3*z + 8 = -2*z, -5*z = -f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -10. Let d(y) = 4*y + 5. Let f be d(k). Which is greater: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k, -3*m + m - 5*k - 3 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 439 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39832813 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(32))**2 - ((sqrt(20)\/(sqrt(10)*2))**2 - (sqrt(2) - 1*(2 + sqrt(2)))**2).\nAnswer: 48*sqrt(2) + 591\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/126 and -29\/182.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 14 = -2*m. Suppose -m*o = o - 8. What is the common denominator of 45\/o - 6\/2 and -119\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 19)*(-8)\/(-12). Let c = l + -10. Suppose 2*g + c = t, t + 2*g = -t + 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -299.4 times -1939\nAnswer: 580536.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/310)\/(4\/10*3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/5 + 268878*m\/5 - 18073844721\/5 = 0.\nAnswer: 134439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - u + 4. Let z be a(-3). Let s be (-8)\/14*(-105)\/(-30). What are the prime factors of 20\/2 + s\/z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q. Let r(u) = -40*u - 49. Let n be r(-6). Let h = 182 - n. Let s(v) = -3*v. What is h*s(k) - 2*p(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 1417. Let b(v) = v + 1423. Determine 8*b(g) + 9*u(g).\nAnswer: -g - 1369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100101100101011 + 11010?\nAnswer: 10110100101101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - -10*(5699\/(-3) + 30\/(-90)). Which is bigger: -19002 or v?\nAnswer: -19002","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 579318.\nAnswer: 57931.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -737\/4 - -184. Let a = -98 + 98.1. What is the nearest to a in -1\/3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392460270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 - 13*l + 13*l + (-2*l - 2*l + 3*l)*(-4*l + l + l) + (l + 0 + 0)*(413*l - 2604 + 2609 + 618*l).\nAnswer: 1028*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 440 - 285. Suppose 0 = 5*w + u - 4*u - x, u = -5. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179039 = 5*j + 212*w - 209*w, 0 = 2*j + w - 71615. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019225 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2385)\/(-139 + 94) + 74.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1021*l - 135. Let r be u(-35). Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 83*q - 659. Calculate the remainder when 2850 is divided by h(-30).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48515 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**1\/i)*i*(i*i**(-9))\/i*(i**(-1\/2)\/i)**(2\/9))**(-16\/9) assuming i is positive.\nAnswer: i**(352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13897 = -0*p + 2*p, 2*p + 13893 = 5*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/28)\/(11\/(-44)*1). Let q(p) be the first derivative of 22 - 2\/3*p**3 + 3\/10*p**j + 0*p**2 - 1\/4*p**4 + 1\/2*p + 1\/6*p**6. Solve q(d) = 0 for d.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j - 2*j - 10*j**2 + 6*j + 14. Suppose -3*u = u + 40. Calculate the least common multiple of 8 and i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (14 + (21 - -66 - 55))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 4, s: 1, x: 1}. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8281517\/162 - 51121. Let g = l + 2\/81. Which is the closest to 1? (a) g (b) 5\/6 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14150 and 4486450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107182837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64254199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(3 + 3 + 3)*(2*b - 3 + 3)*(-13 + 21 + 3).\nAnswer: -396*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 33 + 40 = 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/19 - 52*u**3\/19 - 998*u**2\/19 + 2488*u\/19 + 1560 = 0.\nAnswer: -13, -5, 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let c(g) = -1211*g. Give c(x(l)).\nAnswer: -2422*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 823140138 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: Let w(a) = -a + 123507. Let r(f) = -f. Determine w(r(n)).\nAnswer: n + 123507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2. Let a(i) = -18. Let t(b) = -6. Let k(m) = 5*a(m) - 14*t(m). Let j(f) = f + 102. Let p(s) = 6*j(s) + 102*k(s). Give p(c(o)).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(((p**(4\/5)*p)\/p)\/p))\/p))\/p*p\/p**(-1\/11)*p*p\/(p*p**(-15)\/p*p*p)*p*p*p\/((p\/(p**(-2\/3)*p))\/p) assuming p is positive.\nAnswer: p**(3172\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.046, -1\/4, 0.1, 2\/3, -0.4, -0.12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2165 and ((-1)\/5)\/(-19 - (-1649)\/85)*-80.\nAnswer: 17320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/(-6) - -3)*1869\/(-6). Let d = j + -623. Factor 2\/9*u**2 + d - 8\/9*u.\nAnswer: 2*u*(u - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - sqrt(768)*-1)\/((sqrt(36)\/sqrt(2))\/sqrt(3) + sqrt(6)) + -2)**2.\nAnswer: -32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/60 + 13*q**4\/12 + 175*q**3\/6 + 123*q**2 - q. What is f(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 3*k + 4. Let v(i) = 41*i - 716. Calculate the lowest common multiple of v(18) and h(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 701831955 and 4.\nAnswer: 2807327820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.76 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265061375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -160*j**2*w - 73*j**2 - 2*w**2 wrt w?\nAnswer: -160*j**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10.5. Let v = c - 15.9. Round v to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 7*z - 2. Let p be c(8). Let x = -758 + 1204. Let v = x - p. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 137*q + 6. Let i(m) = -m + 1. Give -5*i(s) + p(s).\nAnswer: 142*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/(-8) - 1)\/((-9)\/(-2)). Let i(a) be the second derivative of 0*a**2 + 0 - 1\/24*a**4 + z*a**3 + 2*a. What is s in i(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 123?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5396\/11 + 486\/(-891)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9100 minus 32500007593?\nAnswer: -32500016693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 123*x\/4 + 1225\/2.\nAnswer: (x - 98)*(x - 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 greater than or equal to -38745493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.99999525 + 73. What is b rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -9 - (-1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 - (-3 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12\/(y\/y**(2\/9))*(y**4*y)**4)**(-6\/7) assuming y is positive.\nAnswer: y**(-562\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 6 = 6*k. Let p(h) be the first derivative of -7\/3*h**3 - 4 + 7\/2*h**2 - 9\/4*h**k + 0*h. Let j(a) = 5*a**3 + 4*a**2 - 4*a. Give -7*j(r) - 4*p(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*r**2 - 163*r + 82*r + 81*r + 176*r**2 + 136*r**2.\nAnswer: 603*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254177.\nAnswer: 7, 11, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 6*k - 48. Let q(o) = 0*o + 4*o - 5 - 2*o**2 + 3*o**2. Let n be q(k). Solve n = 2*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-72)*8)\/((-14)\/7).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 2\/3, -2, -6.\nAnswer: -14, -6, -3, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5696)\/712*2\/12*54\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/10)\/(b\/b**4)*(b**(1\/2))**(2\/93) assuming b is positive.\nAnswer: b**(2707\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/7 - 33*g**2\/7 + 144*g\/7 - 148\/7 = 0. Calculate g.\nAnswer: -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a, 0 = x + 8*a - 12*a - 555. Suppose 4*k = -3*g + x, -5*g = k - 1123 + 162. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15426 - -216073\/14. Calculate the common denominator of (119\/9520)\/(2\/(-215))*-2 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/6 - z**2. Let u(o) = -39*o**2 - 8. Let c(v) = 14*v**2 + 3. Let a(p) = 8*c(p) + 3*u(p). Give q(a(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d. Let p be m(4). Suppose 0*i + p = 2*i. What is the remainder when 9 + -3*(-2)\/3 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11019*o**2\/7 - 5432369*o\/7 - 986\/7.\nAnswer: -(o + 493)*(11019*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (23 - 9 - (1 + 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -18, -24?\n\"Answer: -6*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/3 + 26*q**2\/3 + 260*q\/3 + 400\/3 = 0.\nAnswer: -5, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 7*c**2 + 9*c**2 - 16*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4\/3 + 20*p**3 + 44*p**2 + 68*p\/3.\nAnswer: -4*p*(p - 17)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 - 96*j - 1080 = 0. Calculate j.\nAnswer: -30, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g. Solve 2*i = -i + 5*k + 11, g = 5*i - 2*k - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 3 (c) -14 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s. Let n(q) = -4*q. Let a(k) = 4*m(k) + 3*n(k). Give a(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71559 + 6058?\nAnswer: 77617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 10*x - 13*x + 11030, x = -3*m + 3655. Suppose -218*w - x = -223*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*w - 114*w + 15 = -2*y, 12 = -3*w - 3*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16827664 divided by -5.\nAnswer: 16827664\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12595*r + 12595*r + 10*r**3 + 415 - 13*r**3 + 43.\nAnswer: -3*r**3 + 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10591 - -10617. Calculate the smallest common multiple of c and (1\/(-3))\/((-1)\/6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, 20\/11, -2\/11, -2?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -28. Sort 1\/5, 0.06, w in descending order.\nAnswer: 1\/5, 0.06, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -4 + 2)\/(1356\/(-36838)). Solve 159*v = 5*r + u*v - 10, -4*v = -3*r - 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 43221.67 weeks?\nAnswer: 26140466016000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 4*b**2 + 2*b - 14. Give g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:36 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14*(-70)\/20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20\/1061 - -88243\/9549. Let n = 9 - q. Let m(r) = -2*r - 21. Let f be m(-9). Sort n, f, 0.\nAnswer: f, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-8)\/224 + (4 - (-908)\/(-176)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018662?\nAnswer: 2, 3, 169777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140 - 162) + -3 + 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/22222 and -8\/5.\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*i + 4*w, -215*w + 210*w = 5*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:30 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*n - 32, 3*n + 14 - 6 = -5*k. Let w(l) = -28*l - 97. Let b be w(k). Solve 5*m = 4*a + b, -3*m + m = -2*a - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4) - (6 + -7). What is the closest to 1\/4 in -4, -6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(8) - (sqrt(64)*-4)\/sqrt(8))\/(1*sqrt(144)) + -3.\nAnswer: -8 + 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -756126 or -756085?\nAnswer: -756126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - w**3 - 1.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -297 and 0.301.\nAnswer: -89.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8420839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-15 + 44 + 5 - -3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, 459, 1892, 4741, 9480, 16583, 26524, 39777?\nAnswer: 56816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -1\/4, 167, 2, 2\/59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/360 - x**5\/40 + x**4\/6 - 5*x**3\/6 + 5*x. Let s(y) be the second derivative of o(y). Calculate s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (2 + 2 + -12 + 29 + -18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22188951 and 31050.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-10 + 0 + 2)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3 - 3)*(15*h + 3 - 3) + 0 + 9*h**2 - 4693*h + 4697*h - 1.\nAnswer: -6*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2514.5476 - 2515. Let z = 0.46 + k. Round z to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12*-2)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 20 + 56. Let y = -7 + 13. Let z = y + x. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1155\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*z + 4*z = -635, 479 = 3*g + 2*z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 957077729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -29, -64, -113, -176?\n\"Answer: -7*l**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270763 is divided by 4503?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -113101323 (base 4) in base 15?\nAnswer: -1d3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 14*s**2 - 7*s + 86. Let h be u(-13). Let b = -1 - 3. Put h, -5, 4, b in descending order.\nAnswer: h, 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3409254 divided by -2\nAnswer: 1704627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by 27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 307.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Let n be (1 - p\/4)\/1. Let r = -3 + 3.2. Which is the smallest value? (a) 5 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 12*o**2 - 2*o + 28. Let a be x(12). Suppose p + 11 = v + a*p, 0 = -3*v - 2*p + 19. Solve v*u + 10 = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/6 (b) -0.1 (c) -0.2 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((440\/(-99))\/(-20))\/((-27)\/(24300\/24)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 21 - 10)*(-4*n + 6*n - n).\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/20*(-240)\/(-90).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -38. Let u be (-15)\/(-9) + c\/(-24). Let l = 4 + u. Let x(t) = -t**3 - t**2 - t + 1. Let b(n) = 4*n**3 + n**2 + 3*n - 3. What is l*x(r) + 2*b(r)?\nAnswer: 2*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 158404601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 829 - 350. Let n = s - 54. Find the second derivative of n*y - 2*y**3 + y**2 - 440*y - y**2 wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 - 34*j**2 + 74*j**2 + j - j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -41*h**3 - 41*h**2. Let o(i) = 27*i**3 + 28*i**2. Let y(p) = 8*o(p) + 5*r(p). What is the third derivative of y(g) wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (440\/(-165)*(-33)\/(-506))\/(1270\/(-115)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 5, w: 2, a: 2, h: 1, b: 1, f: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 27, 79, 165, 297, 487, 747, 1089?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 309*d**2 + 11450*d - 3185. Determine a(266).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let b(s) = -32*s**2 + 44*s**2 + s - 9*s**2. Give a(b(o)).\nAnswer: -9*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 9*c - 9. Let w be b(4). Suppose 3*x + w = -1. Let g be -5*33\/(-60) + (-1)\/x. Solve -d - 3*d = -n, 12 = g*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -12. Let c = -26 + 32. Solve 5*j = -d - c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24 - -3) + 0\/3. Let h = j + 108. Let s = h - 79. What is the lowest common multiple of s and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 32 = 0, -2*d = d + 22*p - 52*p - 129 - 111 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 12*b - 6, -4*z - 5 = 3*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229087000 rounded to the nearest 100000?\nAnswer: 229100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 2. Suppose 5*t - t - 12 = 0. Suppose -t*m = 17 - 20. Solve -o*i = 1 + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19784133, 19784142, 19784151, 19784160, 19784169?\nAnswer: 19784178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Let f be ((-2)\/(-3))\/(4\/18). Suppose l*y = -12, f + 13 = i - 3*y. Solve 0 = -5*n + 2*m + m + 5, 2*m = -4*n + i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4934551?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/(j*j**(-5))*j*j**(-4\/9)*(j*j**(-2\/15)\/j*j*j)\/(j*j*j**(-9\/7)*j) assuming j is positive.\nAnswer: j**(2428\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082915?\nAnswer: 5, 109, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*o + o - 17, 4*w + 4*o = -4. Let d(q) = -2*q. Does 4 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32097575.\nAnswer: 5, 1283903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13265 and 1645.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12146984 - -243?\nAnswer: -12146741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -0.02739 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46 (b) -4 (c) -3 (d) 20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = u - 2*u, t = -4*u - 10. Sort t, 1, -3 in descending order.\nAnswer: 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccacaacccacccccac?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -177. Let n = -12 + 11. Which is the fourth biggest value? (a) f (b) n (c) -1\/4 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271541*y**5 - 149*y**4 - 2*y**2 + 3214761*y - 1?\nAnswer: 16292460*y**2 - 3576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.13956 + -63.23789. Let z = l - -21.1. What is z rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q. Let a(m) = 6*m. Let f(c) = -5*a(c) - 3*n(c). Let i(d) = -225*d + 125*d + 112*d. Give f(i(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let q = -2 - m. Let v = -1603 + 1615. Solve -2*h - 2*h - v = q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/35, -1.75, 3?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169.1 + -165. Let g = -0.885895 + 4.985925. Let h = c - g. What is h rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*x + 57 - 9 - 48*x in the form n + s*x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(24\/9 - 3). Let h be 3\/(t\/12) - -2. Let j(l) = l**2 - 8*l + 1. Let v be j(h). Put 5, v, -3 in descending order.\nAnswer: 5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2021*b**4*d - 48*b**4 - 4*b**3*d**2 - 2*b**2*d**2 + 1570*b**2 + 22*b*d**2 - 9*d**2 - 5*d wrt b.\nAnswer: -48504*b*d - 1152*b - 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q - 393 - 24*q - 33*q + 116*q - 31*q.\nAnswer: -4*q - 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1965612455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5 + 20. What is the units digit of (r\/((-30)\/(-51)))\/((-3)\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 7*y**2 + 8*y + 5. Determine s(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -4\/3*k**3 + 13\/2*k**2 - 14*k - 1\/12*k**4 - 14. Let j(a) be the first derivative of d(a). What is j(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624 + 26*h**2 + 63*h + 624.\nAnswer: 26*h**2 + 63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877.214 millilitres in litres?\nAnswer: 8.877214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 0.5, 3, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -29. Suppose 8*f = s*f + 16. Let z be f\/6*(-3)\/(-8). What is the second biggest value in 2\/5, 0.5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 224*l**2 + 5017*l - 1235993. Calculate t(226).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 732906569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10904197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218296 by 8.\nAnswer: -27287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + -116 - (61 - 0) - (-20 + 8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1884, 2019, 2154, 2289, 2424, 2559?\nAnswer: 2694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 9 = -y. Suppose 4*s - 4*j = 68, -5*s - y*j + 125 = 5. Suppose a - s + 14 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(2 + sqrt(121)\/sqrt(99)) + -5.\nAnswer: 3 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 2, o: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -105.93 and 0.537185663?\nAnswer: 106.467185663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) 1 (c) -2 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 3021433667969?\nAnswer: -3021433667969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/(-333) + (-374)\/(-18). Solve 4*u - d = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, -2\/9, 13, 93, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/(l**(1\/5)\/l)*((l**(-2\/3)*l*l)\/l*l)**(-18))**(-5\/12) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*l - 10, 0 = 5*f + 4*l - 18. Let w be 6*f\/8*2. Solve -2*i = -w*h - 9, 0 = -2*h + 5*i - 21 + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-1\/8)*p**(2\/9) assuming p is positive.\nAnswer: p**(97\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 18 + 3 + -4. Suppose -3*w + 0*w + q = 0. Solve 22 = 4*s - 2*f, -w - 9 = -4*s - 5*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 3*v + 3. Let j be n(3). Suppose 2*g = -j*g + 50. Let m(c) = 2*c - 2. Let q be m(3). What is the highest common factor of q and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4 + m**3 - m**2 + 158*m - 158*m. Let s be w(0). Suppose -s*o = 2*p - 62, 2*p - 3*o - 44 = 2*o. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -43. Suppose x*c = -3*c + 2058. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 3, 2 in descending order.\nAnswer: 3, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -545, -1, -4, 3 in decreasing order.\nAnswer: 3, -1, -4, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**3 + 6*c**2 + 11*c + 7. Let s(t) = -5*t**3 + 6*t**2 + 10*t + 7. Let z(p) = -6*o(p) + 7*s(p). Let b = -7 + 2. Is 12 a factor of z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -571 and 0.2.\nAnswer: -114.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12 and 53\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85104136?\nAnswer: 2, 13, 818309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17697 = 4*o - 4981, -3*u + 5*o + 9547 = 0. Let g be (-2)\/(-3) + (-4001)\/3. Let p = g + u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111000100 + 111011?\nAnswer: 100111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/3 + 2*t**2\/3 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(27) + -1 + (sqrt(6)\/sqrt(2) - sqrt(3)) + (sqrt(3) + sqrt(36)\/(-2*sqrt(12)))*2)**2.\nAnswer: 16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/312271?\nAnswer: -2\/312271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 83, -20, -143, -292?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1700*i - 3*w + 33 = -1697*i, 11 = i + 3*w for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 229 or 36041?\nAnswer: 36041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:05 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**2 + 2*m - 3. Let p(n) = -n**2 - 1. Let l(u) = -4*p(u) + r(u). Let a be l(-1). Let o = a - -4. What is the highest common factor of o and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 12*h - 30 = 0. Calculate the greatest common divisor of 14 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27012211*b**3 - 10821974*b**2 + 1 wrt b.\nAnswer: 162073266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15)*((-243)\/675*40)\/((-6)\/(-40))\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:53 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/20 and 15\/1144?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*d**3 - 9930*d**2 + 278400*d - 2388000.\nAnswer: 3*(d - 20)**2*(33*d - 1990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/((-18)\/540)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -582, -2371, -5352, -9525, -14890?\n\"Answer: -596*n**2 - n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*b + 15 = 0, 0 = 3*a - 5*b - 43 + 53 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = 0, -4*p - 2*i + i - 20 = 0. Which is the nearest to -2\/7? (a) 23 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.1?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1752.78 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 81 = f, -12627 + 12704 = -2*q - 26*f + 31*f for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.6 - 43.6. Let k = h - -264.2. Let d = k + -213.99778. What is d rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*o + 1414 + 144 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-47)\/(-9) + (-5)\/((-225)\/(-10)). Solve 2*x - 21 = n*u - 6, 3*u + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -540.4\nAnswer: 540.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 602142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*j - 36*j - 8*j**2)*(3 - 4 - 7)*(0 + 0 - j**3).\nAnswer: -64*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by 1011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 1355061?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 22 = 3*l + 27, 4*l + 4*t = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**3 - 2*l**2 + 3*l - 2. What is w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, 11\/8, -0.17, 0.2?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2383 - 2747. Let u be (-10)\/40 + z\/(-4) + 1. Suppose -3*a + u = 8*i - 3*i, 2*i - 3*a = 240. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v**4 + 1192*v**3 + 1680*v**2 - 10144*v + 3712 = 0. What is v?\nAnswer: -58, -4, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8 and 64\/208*(-23)\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-3)\/(-1) + 4). Let l be 3\/p*3 - -1. Let n(f) = 33*f**2 + 4*f + 5. What is the remainder when n(l) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28262109 + -1062089. Suppose -i = 4*m + 4*z, 5*z + 9054827 - 36254802 = 4*m. Round m to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20278172.1 to the nearest one hundred thousand.\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28844044, 57688090, 86532136, 115376182, 144220228?\nAnswer: 173064274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5741700 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*h = 0, 4*h + 6 = -3*y + 1. Let x(n) = -3 - n**3 + 2 + 2. Let m be x(y). Solve m*q = q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -134, -4, -3, 151 in descending order.\nAnswer: 151, -1, -3, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = -0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224234 + 1?\nAnswer: 224240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 86*v**4 - 11*v**3 + 51. Let z(d) = -17*d**4 + 2*d**3 - 10. Let h(p) = -2*a(p) - 11*z(p). Differentiate h(o) with respect to o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 5)*(449 - 449 - 14*l).\nAnswer: -112*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 808098 (base 11) in base 4?\nAnswer: 10331023123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001445 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 14.8. Let l = g - 11. Put -4, 0.4, l in descending order.\nAnswer: l, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9244541.\nAnswer: 31, 298211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(624\/512) - 660\/(-21).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, 1\/7, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbgbbbkkkggkbbg. Give prob of picking 4 k.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -50316.66 to the nearest 100.\nAnswer: -50300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236.9 + 240.6. Let r = -0.068 + -3.232. Let s = r + m. Do -1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + 5*s - 20 = 0, 0 = 2*r - 4*s + 22. Let i be 5\/2*(-23)\/115. Which is the closest to r? (a) -4 (b) 3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2613204\nAnswer: 7839612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6))\/v**(-2\/9)*v*v**(-2\/21)*v\/v**6 assuming v is positive.\nAnswer: v**(197\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d51a (base 14) in base 7?\nAnswer: -431633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -79*x**2. Let q(b) be the first derivative of -b**2 + 2*b**2 + 13 + 20. What is q(u(i))?\nAnswer: -158*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let j = o + -2. Suppose -g + 32 + 10 = j. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -f + 10, 4*f = -9 + 1. Let l be (-11 - (3 + -17))\/(-1). Sort l, n, 4, 0 in increasing order.\nAnswer: l, 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263018.3ml to litres.\nAnswer: 263.0183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 5*x**2 - 6*x + 3. Let k(y) = -y + 1. Let s(z) = -2*k(z) + o(z). Let l be s(4). Calculate the least common multiple of 12 and -1*1\/l*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 0, -3*l - 11 = 6*m - m. Let n be (5*l\/30)\/(-4 + 2). What is the third biggest value in -1\/2, n, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 9*j - 70. Suppose j*w - 748 = 4*w. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 - -1168\/9. Let y be 2583\/1107*(-24)\/(-14). Let g = 10 + -7. Which is the second biggest value? (a) x (b) 1 (c) y (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*a - 9 = 0, -2*a = -0*t + 3*t - 15. Suppose -2*o - 5*w - 35 = -6*o, 5*w = t*o - 25. Calculate the lowest common multiple of 4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 211, 826, 1849, 3280?\n\"Answer: 204*s**2 + 3*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-11)*((-310)\/(-248))\/(10\/2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2.41 (b) 0.4 (c) -3\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**8\/1176 - u**7\/735 + u**6\/140 + u**5\/42 + u**4\/42 + 6*u**2. Solve r(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = -4. Let f(t) = -4*t - 3. Let l be f(p). Let o(r) = -r - 20. Let k be o(-35). What is the highest common divisor of l and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139814 by 106.\nAnswer: -1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -59\/21*h**7 + 91\/6*h**3 + 0*h**5 + 0*h**4 + 0*h**6 + 16*h + 0*h**2 + 0. Find the second derivative of v(z) wrt z.\nAnswer: -2360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340080883 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(3)) + -3 - (sqrt(36)\/sqrt(48) - (3 + (sqrt(3) - (sqrt(3) + sqrt(3)*1)))).\nAnswer: -5 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -29?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1182*x + 378712. Calculate p(321).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 3*w**2 - 3*w + 3. Let h = 5 - 4. Suppose h = y - 2. Is x(y) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 27. Factor -l**4 + 2*l**4 - u*l**3 - 2*l**4 - 2*l**3.\nAnswer: -l**3*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1803 - 1803. Solve i - 5*b - 13 + 32 = p, i + 3*b - 5 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 - 102\/(-10). Suppose -u*a + 6*a + 536 = 0. Suppose 186 + a = 5*i. What is the remainder when i is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 799*u**3 - 6*u**2 - 6*u + 4582. Let w(c) = 802*c**3 - 7*c**2 - 7*c + 4582. Let v(m) = 7*o(m) - 6*w(m). Find the first derivative of v(k) wrt k.\nAnswer: 2343*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18561*a + 18581*a - 160 = 0. Put -2, a, 5, -5 in increasing order.\nAnswer: -5, -2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 201*t**3 - 10*t**2 + 5*t - 5. Let w(q) = -604*q**3 + 28*q**2 - 14*q + 14. What is -14*i(n) - 5*w(n)?\nAnswer: 206*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 181092 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 6. Let a(b) = 8 - i + b**2. Let r(s) = -s**2 + 5*s**2 - 3*s**2. Determine a(r(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 336*o**3 - 320?\nAnswer: 1008*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**3 + 5*k**2 - 11*k - 5. Let t(g) = 9*g**3 - 6*g**2 + 11*g + 6. Let q(f) = -5*t(f) - 6*x(f). Find the second derivative of q(o) wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 6741?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.35582009 and 22.\nAnswer: 22.35582009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 59, 1, -0.1, 3\/7, -1?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 5. Let f(n) = n + 2. Let s(x) = 10*f(x) + 4*g(x). Let r(j) be the third derivative of -j**4\/12 + 4*j**2. Give r(s(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-144)\/(-10) - 24\/60. Suppose q = 3*s - 2*m + 2, 0 = -2*m. Suppose 0 = 7*h - 2*h - 10. Put -2, h, s in ascending order.\nAnswer: -2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or -0.0585?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 11) to base 3\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 0, 7, 18, 33, 52?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159727022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h**2 - 4*h**2 - 4*h**2)*(-2 + 1 - 17) to n*h**2 + z + c*h and give n.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/23, 2\/9, 9065 in ascending order.\nAnswer: 2\/9, 11\/23, 9065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1310*x + 7756. Calculate p(6).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -718136*y**4 + 17*y**2 - 172159999.\nAnswer: -2872544*y**3 + 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 + 2*v**3\/3 + 15*v**2\/2 + 4*v. Is z(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.03, -1.3, -0.2688.\nAnswer: -1.3, -0.2688, -0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -5*v**4\/12 - 26*v**3 + 2252*v**2. Give y(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 210321997 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 1. Suppose w + 0*c = c + 1, 3*w = 4*c. What is z(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3)\/(-3)*4\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 6, v: 2, p: 4}. Give prob of picking 1 x, 1 v, and 2 j.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 42 = 3*p - 4*y, y - 53 = -5*p. Let r = 4 - p. Let x(g) = -9*g**2 + 9*g - 8. Let j(h) = -8*h**2 + 8*h - 7. Calculate r*x(b) + 7*j(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82604629?\nAnswer: 82604629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17) + -1 - -6*(sqrt(17) + 1))**2.\nAnswer: 70*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 15008?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 4*p**2 - p + 3. Let l be g(-3). Suppose -6 + l = 6*o. Let u be 2\/(1*2) + 8. Solve u + 0 = o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*f = -o + 14, 5*o = 5*f + 25. Suppose s = -0*s + 12. Suppose -a = -s + o. Calculate the highest common divisor of 4 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 42, 70?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 - 2*l**2 - l - 2. Calculate the lowest common multiple of v(2) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 7*p**2 - 2*p - 7. Let i(m) = -m**3 + 4*m**2 - m - 4. Let g be (-2)\/8 + (-232)\/(-32). What is g*i(z) - 4*c(z)?\nAnswer: -3*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5 + 12496*i**4 - 39162264*i**3 + 779500480*i**2 - 3891264400*i = 0.\nAnswer: 0, 10, 6238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -703866.403 + 703480. Let q = 73.693 + z. Let y = q + 311. Round y to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*k**3 + 213*k - 213*k + (k + k**3 - k)*(-4 + 1 + 2) + 0*k + 2*k**3 + 0*k + 0*k**3 + k**3 + 0*k**3 - 9*k**3 + 7*k**3 + 10*k - 19*k.\nAnswer: 85*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2050197231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1678 or 19?\nAnswer: -1678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300*b**4 - 2263*b**2 wrt b?\nAnswer: -7200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -167. Suppose 8*y - 5*y + 12 = 0. Does 4 divide -6*(3 - a) + y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b**2 + 3*b + 34. Let d(l) = 34*l**2 + 7*l + 67. What is 3*d(w) - 7*v(w)?\nAnswer: -10*w**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 16, 5, -6?\n\"Answer: -11*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 8, t: 4, s: 2}. What is prob of sequence tll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31108, 31106, 31108, 31114, 31124, 31138?\nAnswer: 31156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 2, p: 6, e: 1}. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2656 - 23906\/9. What is the closest to 0 in 0.09, n, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-48)*(t**(1\/4))**1 assuming t is positive.\nAnswer: t**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 49*o**2 - 143*o + 229. Let p be q(46). Which is smaller: p or -4\/10215?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14 = -i. Let t be (i\/(-4))\/((-3)\/108). Suppose -t = -4*l + l. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/308 and -1\/528.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1494\/12450*(11\/(-9) + 4 + -3)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + 351\/(-52))\/(1\/852). What is the highest common factor of k and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/18*-21*(13 + -9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -979 - -2207. List the prime factors of h.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4252 + 447a6?\nAnswer: 48a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 588 + -434. Calculate the remainder when c is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -461*b**8\/20160 - 7*b**5\/5 - 22*b**2. Let j(z) be the third derivative of m(z). Let s(r) = r. Calculate s(j(x)).\nAnswer: -461*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.059 and 1005514202444.\nAnswer: 1005514202443.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 0*d**3 + 3*d**3 + d**3 + 2*d**3 - 2*d**3 + (1 - 1 + 2*d**3)*(-1 + 1 - 2) - 2*d + 2*d - 2*d**3 - 29*d**3 + 530*d**2 - 530*d**2.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44583.5351 rounded to the nearest 10?\nAnswer: -44580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 667*k**2 + 28*k + 27. Does 2 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 413*a + 11. List the prime factors of p(1).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 276819451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 17 - 2*h - 4*h - 6*h**2 + h**3 + 3*h. Let b be i(7). Let u be (8\/12)\/((-11)\/(-3)). What is the second biggest value in -1\/4, u, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose s*r = 2*r + 20. Suppose 0 = 2*t - 46 - r. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjxl when four letters picked without replacement from xjlxjlxll.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286.24 times 2?\nAnswer: 2572.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -7 + 0 + 1. Sort v, -0.1, 1 in ascending order.\nAnswer: v, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)*w**(-1\/7))\/(w**(3\/4)*w*w**(-28)*w) assuming w is positive.\nAnswer: w**(2165\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 less than 477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -5*y - 4*r, 3*r + 8 = 5*y - 0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 328*z**3 + 10 - 26*z**4 - 16*z**4 - 24*z**4 - 16*z - 18*z**4 + 86*z**4 wrt z?\nAnswer: 24*z**2 + 1968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1911, 1863, 1815, 1767, 1719, 1671?\n\"Answer: -48*j + 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 227666224 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 - 51*t + 56. Let n be b(9). Sort 666, 3, n in decreasing order.\nAnswer: 666, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135796.62 months to years.\nAnswer: 11316.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8014123 millimeters in meters?\nAnswer: 0.0008014123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20874, 20859, 20850, 20847, 20850?\n\"Answer: 3*i**2 - 24*i + 20895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14462881 to the power of 1\/2, to the nearest integer?\nAnswer: 3803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/60*(9 + -6). What is the second biggest value in 4, v, 0.11, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 + 2*t - 1. Let f be k(-2). Which is greater: 18 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*s - 34 + 34.\nAnswer: -863*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*n - 15, -5*n + 1 - 16 = 2*p. Let r = n + 11. Suppose -81*o + 77*o = -3*h - 7, 4*h - 8 = o. Calculate the remainder when r is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 0 - (-56 - -59) - (10 + 7 + -22).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 360328815 a multiple of 3465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -0*m. Let d(a) = 3 + a**2 - 1 - m. Let c(n) = -2*n. Give d(c(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4128 is divided by 480.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 1145 = -3*k - 1143, 4 = v - 5*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.08 + 4. Let j be (6\/(-90))\/(40\/5 + 249\/(-30)). What is the closest to 0.2 in j, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8*l**2 + 43*l - 4. Let j(y) = -y**3 + 6*y**2 + 43*y - 3. Give -4*j(m) + 3*r(m).\nAnswer: m**3 - 43*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -j - 2*y + 6, -3*j = -2*y + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*j + 10 = 1, 4*z + 5*j = 89. What is the lowest common multiple of 8 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463470 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from xdxi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.1. Let m = 37582\/5 + -7517. What is the nearest to -0.2 in m, u, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 - -95. Let o(x) = -2*x**3 - 21*x**2 - 11*x - 1. Calculate the lowest common multiple of 12 and o(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ddbdssdb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -271, -273, -275, -277?\n\"Answer: -2*d - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -18 - 30. Suppose 2*l - 4*w = s, l + w = 4 + 32. Suppose -28*t + l*t - 20 = 0. Solve -2*r = -7*r + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -32*y**3 - 3*y**2 - 9*y - 4. Let r be x(-4). Suppose 9*h - r = 6*h + m, 2057 = 3*h + 4*m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273422\/27 - 10125. Let p = -194\/37 - -14549\/2923. Let s = -9149\/948 + p. Calculate the common denominator of s and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 7*v. Let n be c(7). Let w = 9 + n. Let b = w - -14. What is the remainder when 89 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -226, 13, 11, -3 in ascending order.\nAnswer: -226, -3, 1, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Suppose t - 2*t + 2*y = -7, -b*t - 1 = 5*y. Find the first derivative of 6*q**4 + 2 - t*q**4 - 14*q**4 wrt q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -m + 345 - 334, m = l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*v - 2*v + 0*v)*(v - 3*v + v) - 2*v**2 - v**2 + 8*v**2)*(5 + 0 - 8*v - 3).\nAnswer: -24*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17346)\/(-10) + (-927)\/1545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {b: 7, s: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742452239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 42*d**3 - 59*d**2 + 4. Let s(z) = -42*z**3 + 60*z**2 - 5. Let i(f) = 5*k(f) + 4*s(f). What is the third derivative of i(b) wrt b?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 37 = -13. Put -20, u, 6 in ascending order.\nAnswer: -20, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371971, 371973, 371975?\nAnswer: 371977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29047 + 46989. List the prime factors of t.\nAnswer: 2, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p**2 + 32. Let o(t) = 30*t**2. What is b(o(w))?\nAnswer: 18000*w**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-4 + -1)*-27. Suppose -5*a + 20 = -s. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1224703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 109*o**2 - 109*o**2 + 7*o**3 + (-1 + 1 - 2*o)*(o**2 - o**2 - o**2) - 3*o**3 + 5*o**3 + 2*o**3.\nAnswer: 13*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 7*h**2\/3 - 953*h\/3 - 315.\nAnswer: (h - 35)*(h + 1)*(h + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4529, -4511, -4493, -4475, -4457?\nAnswer: -4439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3939 - 3934. Sort s, 1, -2.\nAnswer: -2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.2 - 10. Which is the smallest value? (a) 3 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 - 114*f**2 - 3400*f + 3400*f + 28*f**2 - 50*f**2.\nAnswer: -170*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -5*j, 4*p + 0 = 2*j + 8. Let c be (-5 - -8) + -3 + 17. What is the remainder when 37 is divided by c + j + 2 + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.5913 to one decimal place.\nAnswer: -106.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 8, c: 5, m: 4}. Give prob of sequence vmy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12 + 5*g**2 - 12. Let c = 33 + -31. Let p(a) = -4 + c*a**2 + 5 - 1. Give p(w(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y - 1. Let p(j) = 248*j**2 + 32*j + 452. Let l(x) = -p(x) + 32*q(x). Differentiate l(r) with respect to r.\nAnswer: -560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 2172*z**3 - 393132*z**2.\nAnswer: -3*z**2*(z - 362)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1914 - -1920. Solve 3*w + 2*k = -k - a, 0 = 2*w + 4*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 265*g + 7147. Calculate k(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 107*g - 6329. What is r(59)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*w**3 + 5*w + w**2 - w**2 + 12*w**3 wrt w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -34. Let r be 8\/(-10)*l\/12. Suppose 9 = 4*a - 7. Put 3, r, a in ascending order.\nAnswer: r, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1118*f**2 + 7750*f - 7748. Give q(1).\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25356151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let v(m) = 1798725*m**2. Determine v(h(t)).\nAnswer: 1798725*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 4*m + 7. Let i be l(5). Suppose -4 = 4*z - 12. Solve 2*q = -2*r + z, 0*r = i*r - 4*q + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295809?\nAnswer: 3, 151, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61308293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2)\/u))**42*(u**15)**(6\/7) assuming u is positive.\nAnswer: u**(1266\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3993) - 1*sqrt(3993)) + sqrt(3993))\/(sqrt(12) - sqrt(108)) + (((sqrt(110) - sqrt(110)*-3)\/sqrt(10))**2 - (sqrt(1584) + 2)) + 3.\nAnswer: -59*sqrt(11)\/4 + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 20 + 1 = p, -2*j = -p - 44. Let k = p - -19. Let q = k - -31. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.3166 from -20.39.\nAnswer: -33.7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696452 is divided by 61?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53966099 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x**2 + 48*x - 133. Let z be q(-15). Which is bigger: z or 5223?\nAnswer: 5223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 6*h + 4. Let b(q) = 4*q**2 + 7*q - 5. Suppose 0 = 25*a + 5 + 95. Calculate a*b(n) - 5*d(n).\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102698\/25 + 4108. Factor -2\/25*s**2 + 2\/25*s + w - 2\/25*s**3.\nAnswer: -2*(s - 1)*(s + 1)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p**2 - p - 1. Let f be s(-1). Which is the closest to -2\/5? (a) -1\/3 (b) f (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574454159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -545*t**3 - 15*t**2 + 461*t - 5. Let l(s) = 272*s**3 + 6*s**2 - 231*s + 2. Let b(f) = -5*l(f) - 2*r(f). Find the second derivative of b(k) wrt k.\nAnswer: -1620*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 10\/4)*8. Let n(w) = 279*w + 48. Let r be n(g). Is (r\/16)\/((-15)\/(-40)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 13) in base 7?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 4*c**2 + 4*c - 11. Let l be j(4). Solve t + 12 - 14 = h, -l*h + 17 = 4*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112596 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 4*m**3 + 2*m**4 + (-57*m - 85 + 85)*(-2*m**3 + 0*m**3 + m**3) to the form i*m**3 + w + j*m + t*m**2 + v*m**4 and give v.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7163, 14160, 21157?\n\"Answer: 6997*u + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 not equal to 28\/1881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 15) to base 2\nAnswer: 1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 + -207. Let w = -1 + -1.5. Let c = -2 - w. What is the closest to 0 in -2\/11, x, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61fd9c (base 16) to base 8.\nAnswer: 30376634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/3 - q. Let x(t) = -3*t**2 + 0*t**2 + t**2. Calculate x(m(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8688936 divided by 31368.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 7 - 12)*(-n - 2*n + n + (-4*n + n + 2*n)*(4 - 5 + 3) - n - n + n - 4*n + n + n) to k + f*n and give f.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -2\/271 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a hour in seconds?\nAnswer: 63360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13554566.\nAnswer: 2, 61, 111103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/140087 (b) 5.9 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 1 - (5 + -2). Suppose 31 = w*f + 11. Let j = f - -18. Calculate the greatest common divisor of j and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105707\/15 - (12\/20)\/(18\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/2 - 807*s**4 + 3243*s**3 - 4872*s**2 + 6501*s\/2 - 813 = 0 for s.\nAnswer: -542, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0. Suppose 2*g + 6 = -g + 3*b, 2*b - 4 = -5*g. Let d be (1 + g)\/((-3)\/6). What is the closest to k in 1\/5, 6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -2\/13, 221\/2, 5, 3\/26, -3?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -1) + -7 + (32 - 21) + -8 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.4 millimeters in meters?\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 15*v + 21. Let g be s(13). Let q(u) = u**3 + 6*u**2 + 4. Let r be q(g). Let o = 5 + r. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15577 - 15589. Let y(s) = -6*s - 67. Give y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -92 - -3128?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 171*z**2\/2 + 2*z - 157. Let p(l) = l**2. What is n(p(a))?\nAnswer: 171*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 + q + 1. Let v be m(2). Suppose -v*y + 6*y = 39. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and 0.23161.\nAnswer: 24.23161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 6 = -4*o - 3, 6 = o - 2*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 8*u - 17*u + 11 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let o be r(-2). Let j = o + 9. Let d = -7 + j. Calculate the lowest common multiple of d and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*u**2 - 3*u - 50.\nAnswer: (u + 2)*(11*u - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5257*y**5 - y**4 - 5*y**3 + 125*y**2 - y - 354 wrt y?\nAnswer: -315420*y**2 - 24*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/4)*k*k)**(-20) assuming k is positive.\nAnswer: k**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010389 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/9280 and -57\/224?\nAnswer: 64960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 339*a**2 + 176*a + 1280. Give w(-170).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3235250 and 9705750?\nAnswer: 9705750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1196201 and -0.3.\nAnswer: 358860.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 6*d + 7. Calculate the smallest common multiple of 3 and p(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 8 + 24*n + 36*n.\nAnswer: 58*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1328313 and 736971?\nAnswer: 221828271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (0 - ((-23 - -1) + 19))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/18830 and -163\/210.\nAnswer: 56490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31330, 125157, 281482, 500305, 781626, 1125445, 1531762?\n\"Answer: 31249*c**2 + 80*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 199435 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 402 and 407?\nAnswer: 163614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.494019 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) 1 (b) 0.05 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2180 + 229228*b**2 - 229231*b**2 - 2183.\nAnswer: -3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbtbbtktbbbk. Give prob of sequence tbtt.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 174 - 0.47\nAnswer: 173.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, -0.3, 1611.89, 1\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k - 23*k**3 - 2*k**2 - 21*k**3 + 45*k**3 to the form s*k**3 + o + q*k + g*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 - 880*q**4 + 30096*q**3 + 2161784*q**2 + 2067052*q - 4258056 = 0. What is q?\nAnswer: -33, -2, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(98) + 5).\nAnswer: 6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5677463 (base 10) to base 7\nAnswer: 66154241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*a - 2859 = 0, -4*a = -3*v + 491 + 8073. Calculate the greatest common factor of 561 and v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide (2 - (-22570)\/(-25))\/(4\/(-92 - 8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 44535 = -15*x. Let t = x - 294845. Round t to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*r - 45 + 65 = 0, -4*b = -r - 11. Which is smaller: b or -2\/1259?\nAnswer: -2\/1259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 3*k + 1. Let t be q(1). Let s be t*3\/3 - -2. Does 12 divide -2 - (-37 + s) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*v**2 + 9*v**3 - 11*v**3 - 6 + 43*v**2 in the form i*v**3 + k + h*v**2 + o*v and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20164*s**2 + 203900640*s - 515466561600.\nAnswer: -4*(71*s - 358980)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/j**(1\/15))*j*j**(-5)*(j*j**(-2\/7)*j*j)**(-34) assuming j is positive.\nAnswer: j**(-9998\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20696 + -20691. Which is the nearest to 0? (a) -3\/5 (b) -6\/7 (c) 3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 16*q - 5 - 8*q. Let v(n) = 5*n - 8. Calculate 8*p(c) - 5*v(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.01 (c) 0.2 (d) -0.04 (e) 3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920012 is divided by 36226?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -79526*f - 1033971. Determine z(-13).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380828 and 155440?\nAnswer: 7616560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 8*b - 3*k - 21, -5*b - 5*k = 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2121*s + 8472. What is a(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67109942*l**4 - 43741226 wrt l?\nAnswer: -268439768*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 65*p + 1090. Determine n(24).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3\/(-6))\/(36\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 233, 379, 527?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -5. Let n(q) = 3*q + 9. Let t be n(-3). Let y = w + t. Calculate the remainder when 22 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmqm when four letters picked without replacement from {q: 3, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.484485 rounded to 2 decimal places?\nAnswer: -115.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 5*w + 3*z, 52*w + 5*z - 20 = 52*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*s = -3, 2*s - 4 = 2*y - 16. Is (-6)\/(-4)*20\/y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 + 87*b**2 + 87*b**2 - 2*b**4 - 173*b**2 - 6 + 0*b**3 to d*b + f + j*b**3 + g*b**4 + p*b**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 10. Let n be j(20). Calculate the common denominator of -7\/18 and (-1160)\/n*(43\/(-24) + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-4))\/(2\/4). Let s(p) = 7*p**2 - 66. Let j(y) = 2*y**2 - 2*y - 24. Let r(n) = -3*j(n) + s(n). Give r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -3*j + 287 - 329, 20*d = 2*j + 118 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 + 10*d + 13. Let o be y(-4). Let p = 29 + o. Solve -3*l = -6 + p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.599252us?\nAnswer: 0.008599252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, 11, 27, 29, 5, -57, -169?\n\"Answer: -2*g**3 + 11*g**2 - g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-8)\/12) - 4. Let q be 1 - (x - 48\/3). Let z be (q\/(-27))\/((-4)\/(-30)). Which is the second biggest value? (a) z (b) -0.4 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*l - l + 4, 3*l + 5*p = 5. Suppose l = -3*i + 2 + 1, -5*f - 219 = i. Which is the closest to 0? (a) 1 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -58 + 25 + s**3 + 27 - 3*s + 2*s**2. Let a(l) = -l**2 + l + 1. Let o(b) = 4*a(b) + x(b). Determine o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-10)\/(-3090)). Let k = r - -107. Calculate the highest common divisor of k and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*18\/48 + 29\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 z when three letters picked without replacement from {f: 2, q: 1, z: 11, j: 1, n: 1}?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.2759753ns to hours.\nAnswer: 0.00000000000202110425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-412)\/(-309)*1\/(-12) - 107\/9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -3, 18, 47?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 26*r**2 + 9*r - 360. What is the least common multiple of 140 and v(25)?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.08476224 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - g**2 + g**2 + 0*g**2 + 0*g**2 + (3 - 3 + g)*(-3 + 2*g + 3) + 2*g**2 - g**2 + 0*g**2 - 7*g**2 + 10*g**2 + 11*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -216 - 176. Let g = -17 - 15. Let x = u + g. What is the greatest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14*x**3 - x**2 + 2*x - 1. Let k be (-14)\/4*(-28)\/14. Let r = k - 6. Determine i(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110031728*l**3 + 223183800 wrt l?\nAnswer: 330095184*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072 + 1551 - 2679 + w.\nAnswer: w - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79222 and 544973?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5067.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 5:39 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 59381504?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149145 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 2:20 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-242243)\/(-3))\/(2\/(-6))*(-254 + 253) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let d(h) = -8382*h**2 - 33*h. Let b(s) = 524*s**2 + 2*s. Let u(j) = -33*b(j) - 2*d(j). Calculate v(u(f)).\nAnswer: 1056*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4.2 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363\/2 - 33*a + 3\/2*a**2.\nAnswer: 3*(a - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301*p - 2021 - 355 = 5430 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyccyyc. Give prob of sequence cycy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6922, 13987, 21180, 28501, 35950, 43527?\nAnswer: 51232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 59*h**2. Let q(g) = -6811*g**2. Calculate p(q(s)).\nAnswer: 2736993539*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 f when four letters picked without replacement from ffuuu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -952\/5 - -185. Let j = y + 79\/10. What is the common denominator of -49\/4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 95. Suppose -2*o = j*o - 470. Let l be (2\/o)\/((-5)\/(-20)). Is 1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16496, -16538, -16580, -16622, -16664?\n\"Answer: -42*y - 16454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 2, l: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000374663688 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(175))**2*-6 + -2 + sqrt(567) + -3 + sqrt(49)\/sqrt(28).\nAnswer: -1051 + 19*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-42)\/(-175)*(-75)\/10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 + 83*o - 38. Give m(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Let g be (-50)\/(-12) - 1\/t. Suppose -5*y + 40 = -g*k, 7*y - 2*y - 5*k = 45. What is the smallest common multiple of 14 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*y**2 - 92\/7*y + 528\/7 = 0.\nAnswer: 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5\/5 + 2*f**4\/5 - 30*f**3 + 286*f**2\/5 - 28*f = 0?\nAnswer: -10, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507425 (base 10) in base 15?\nAnswer: -1eb9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.118 - 3.882. Let s = -4 - -3. What is the third biggest value in n, s, -4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 180458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1944nm in micrometers?\nAnswer: 0.0071944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*s + 1, l - 5*s = -44 + 34. Solve l*y - 4*m = 6, -30*m + 27*m + 3 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 51 + 4*r**3 - 17 in the form w + x*r**3 + v*r + n*r**2 and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 8, i: 7}. What is prob of sequence kim?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-12)*(-24)\/30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 81 = -2*q + 91, 0 = -2*y - 4*q - 4. Put 5, 4, y, -23 in increasing order.\nAnswer: -23, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 29. Let k be 8\/r*10\/4. Let q = 14 - k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) + (-8708)\/18. Let x = f - 70. Is 2\/(-5) - x\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12353*n + 12354*n = -5*h + 24, n - 2*h = -11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/964785 and 32\/3.\nAnswer: 964785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Suppose 0*r - 5*r - 115 = 0. Let i be 4 - (-1)\/(5\/r). Which is the nearest to d? (a) -2 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5369214.80339 - -5369184. Let j = 30.8 + y. Round j to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -5. Let b = z + 4. Suppose 9*y - b*y = 4*w + 32, 2*y = -2*w + 12. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71556 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.252 - 0.352. Let r = -1.3 - -0.3. Let h = r + 0.7. Which is the nearest to p? (a) h (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*q - 28 = 415*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 645210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 plus 27?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2) - 6\/4)*-1. Suppose h = -3*p + 475 + 1058. Is p a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 421860317, 843720636, 1265580955, 1687441274?\n\"Answer: 421860319*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4285718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 109878 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.53 + -2.4715. Let p = 0.099 - z. What is p rounded to three dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 7 = -2, -4 = 2*r + 2*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 5 - 3. What is the units digit of -2 - (0 + d)*-22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207124221 a multiple of 2575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6651120 (base 10) to base 2.\nAnswer: -11001010111110011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 + -33128204184.\nAnswer: -33128204254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17340 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 7*p - 3 + p**2 + 5*p**2 - 6*p**2 + 5*p**2. What is the units digit of u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*o*s**3 - c**2*o*s - c**2*s**2 - 42048*c*o*s**3 + 1294*c*s**2 wrt s.\nAnswer: 12*c**2*o - 252288*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + 0.04.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-7) - ((-1010)\/35 + 5). Suppose -n - 4*x = -20, 2*x + 28 = 2*n + 7*x. Suppose n*h = -0*h + w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*y + 104, -2*a + 2*y = -0*a - 519 + 455 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 520 - 10723?\nAnswer: -10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33470370*a**4 - 80478*a + 66 wrt a.\nAnswer: 401644440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 4*g)*(0*g - 5*g + 2*g) + (65*g**2 - 24*g**2 - 27*g**2)*(-64 + 7 - 60).\nAnswer: -1632*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -607, -0.5, 2\/17, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69870 = -28*h - 57*h. What are the prime factors of h?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/sqrt(3) + sqrt(49))*-3 - 1*sqrt(2401))\/((sqrt(7) - (sqrt(7) - (sqrt(7) + (2*sqrt(175) - sqrt(175))))) + sqrt(7) + sqrt(175)*-2).\nAnswer: 13*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c\/c**12)\/c)\/c*c)\/(c\/(c*((((c**(3\/13)\/c)\/c*c)\/c)\/c*c*c*c)\/c)))\/(c**(-9\/7)*c**(2\/13)) assuming c is positive.\nAnswer: c**(-968\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8 - 11*j**2 + 0 + 2*j**3 - 6*j - j**3 - 6*j. What is the units digit of p(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9840)\/(-45))\/82)\/20\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a**3 - 188*a**3 + 74*a**3 + 71*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -19*p**2 - 103*p + 10. Let o(i) = 22*i**2 + 105*i - 11. Give 7*m(d) + 6*o(d).\nAnswer: -d**2 - 91*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1233520 (base 6) to base 10\nAnswer: -66936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y. Let r be (-13 + 12)\/(2\/(-6)). Suppose -r*o - o = 0. Let d be k(o). Sort 4, d, -2 in ascending order.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/2 (b) 0 (c) -327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*7\/((-910)\/(-60)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 3*x. Solve -5*q - f + 1 = -x, 12 = -3*q + 3*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 7 (c) -2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 32. Suppose -3*x = -2*n - 16, -3*x + 14 = -0*x - 4*n. Let g = 11 - x. What is the remainder when k is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3652299*i**4 - 14019562 wrt i?\nAnswer: -14609196*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -679 + 32?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 108. Let k(x) = -3*x. What is k(v(u))?\nAnswer: 15*u + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0 + 8. Find q, given that -q + 1\/3*q**d - 4\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - 9. Let x = q + 43. Calculate the remainder when 34 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x*(x\/(x**(-13\/5)*x*x))\/x))\/x*x)\/x*x)\/x*x)**(-50) assuming x is positive.\nAnswer: x**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33652004897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 - 6*q. Let m be v(-5). Let c be -4*2\/(-20)*m. Let j(o) = -2*o**c + 7 + 0*o**3 - 2*o**2 + 6*o - o**3. Calculate j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 22*p - 44*p = -224. Solve p*j = -3*k, 3*j = 2*k - 0 + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w**2 + 2*w)*(-107 - 65 - 31 + (-5 + 1 + 2)*(3 - 3 - 2))*(3*w + w + 2*w).\nAnswer: -2388*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = x - 2*x + 10, n + 30 = 3*x. Suppose 4*b - 32 = 4*t, -x = b - 14. Sort 4, t, 2\/11, -0.3 in decreasing order.\nAnswer: 4, 2\/11, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3958.17*10\nAnswer: -39581.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004464 rounded to 4 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 229 in -0.45, 1, -0.2, 10\/7, 1\/2?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15344 - -18372. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -25*z - 8 - 28*z + 4*z**2 + 62*z - 3*z**2. Let p be t(-10). Factor 2*m - 4*m + 4*m - m**p - m.\nAnswer: -m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 - 126*n**2 + 2376*n wrt n.\nAnswer: 20*n**3 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2846910*s - 105*s**3 - 2846910*s.\nAnswer: -105*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3395, 3423, 3451, 3479, 3507, 3535?\nAnswer: 3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, -86, -383, -848?\n\"Answer: -84*b**2 + 123*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/((-20691)\/76))\/(162\/33).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -53. Let x = 21 + k. Let t be 2\/(-8) - 2\/4. Which is the closest to 0? (a) x (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12077.\nAnswer: 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 880723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:01 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 + 437*a - 721. What is n(144)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzvvvzvzzzvzz. What is prob of sequence vzvv?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/44 + (-2)\/(-11). Suppose -4*a - 157 = -4*z - 393, z = 5*a - 295. Let p = a + -57. Solve u = -j + p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-6)\/4 + (-9950)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**3 - 6*v**2 + 5*v - 3. Let n(x) = 10*x**3 - 4*x**2 + 4*x - 3. What is -3*n(i) + 2*u(i)?\nAnswer: -12*i**3 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*z - 2, -5*z - 3 = -0*h - 4*h. What is the derivative of -t**2 - 37 + 14 - 4*t**h wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8 + (-477)\/(-36). Let z = m - 1. List the prime factors of (1 - (2 - z))\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 8*d + 32. Let o(l) = -1 + d*l + l**3 + 4*l**2 - 20*l + 5*l - 6*l. Does 5 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/185 and -61\/50.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + -81. Let b = s - -109. Suppose 2*t - i - 122 = -3*t, 41 = 2*t - b*i. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-16) - ((-364936)\/7488)\/(-121)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1116)\/20 - 20*11\/1100.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**7\/210 + 7*g**6\/15 - 2*g**5 + 4*g**2 - 14*g. What is the third derivative of p(m) wrt m?\nAnswer: 24*m + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/1547*(-68)\/(-85)*10\/(-16)*-1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 273123119 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z - 68 = -55 - 398 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -9\/46, -0.2, 7, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -6428018095 and 0.11.\nAnswer: -6428018094.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 2, l: 8, r: 1, t: 4, y: 4}. What is prob of picking 3 y and 1 h?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 251 - 217 = -t, -38 = -5*b + 2*t. Calculate the remainder when 16 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*k - 390 = -4*g, k = 3*g - 292. What is the remainder when g is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 7*g + 0*g + 3*g. Let z(m) be the first derivative of -5*m**3\/3 + 7. Determine p(z(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 57, 44, 5 in increasing order.\nAnswer: -51, 5, 44, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2162*j + 5839*j - 2713*j.\nAnswer: 964*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (7 - 7) + 24 + -10 + -5\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 102, -4\/3, 0.16, -5\/3, -5 in decreasing order.\nAnswer: 102, 3, 0.16, -4\/3, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 3. Let i(v) = -v + 5. Let k(u) = 3*i(u) - 5*s(u). Suppose 5*o + 32 = 107. Let g(a) = -6*a**2 + 15*a - o*a. Determine k(g(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 2 + 2 + (-3*u - u + 3*u)*(-2 + 1 + 3) - 1 + 1 - 2*u - 135 + 288 + 5*u - 123.\nAnswer: -u + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 137*o = -104*o - 1122 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/150)\/((-4)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-6))\/((-30)\/(-135)). Suppose -7*f - m = -12*f. What is the least common multiple of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 177 = -4*o, 4*u = o - 190 - 65. Is -65 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44600244 by 1.\nAnswer: 44600244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - y - 1. Let h(s) = -6*s**3 - 5*s**2 - 6*s - 5. What is h(n) - 6*w(n)?\nAnswer: -12*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 5*o**2 + 6*o**2)*(0 - 2 - 9 + (-2 + 5 - 1)*(1 + 3 - 5)) + (0*o - 3*o + 2*o)*(-1 + 1 - 2*o).\nAnswer: -89*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.67 less than -138660029809?\nAnswer: -138660029847.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-64)\/(-72))\/4 - (-3110)\/18 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/(-1))\/((-561)\/(-34))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sff when three letters picked without replacement from {f: 7, v: 7, j: 1, s: 2}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 35*f**2 + 2*f - 4. What is the smallest common multiple of y(1) and 4434?\nAnswer: 48774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 2*k**4 - 3*k**2 + (-3 + k**3 + 3)*(-k + 1 - 1) - 11*k + 26*k**4 + 11*k - 2*k**2 + k**4 + 2*k**2.\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 173387.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(200))\/(sqrt(4) + 1*sqrt(400)) - (-4 + sqrt(14)\/sqrt(175) + sqrt(6)\/(3*sqrt(3) - sqrt(3))))**2.\nAnswer: -2308*sqrt(2)\/55 + 429729\/6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 23*g + 4. Let w be k(5). Let p = 123 - w. Suppose -p*t = -0*t. Solve t*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30011212 (base 5) to base 6.\nAnswer: -5012450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5232, 10809, 16404, 22017?\n\"Answer: 9*w**2 + 5550*w - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -71, -97, -123, -149?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 16*x. Suppose -7*g + 1 + 76 = x. Calculate the remainder when 42 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84675?\nAnswer: 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 + 1. Let b be a(-6). Let i(d) = -81 + 105 - 5*d + 2*d. Let g be i(8). Solve g = w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:18 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42258599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21433 (base 8) to base 12\nAnswer: 524b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)\/(3*(((sqrt(9) - sqrt(27)\/sqrt(3)) + sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(9)) + sqrt(9) + sqrt(9)))**2 + 2.\nAnswer: 141\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 381\/7 + -755\/14. Let s(k) be the first derivative of 0*k**2 + 0*k - 9\/4*k**4 + w*k**3 - k**6 + 27\/10*k**5 + 1. Solve s(j) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 - 1. Let k(q) = -11*q**2 - q - 3. Let o(u) = 2*k(u) - 5*n(u). Calculate the remainder when 10 is divided by o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(500)*-3 - sqrt(500))**2 - sqrt(500)) + -6*sqrt(500)*3 + 3)*4*-1.\nAnswer: -98012 + 760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 498*f**4 - 240*f**4 - 214*f**4 + 9 wrt f.\nAnswer: 176*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*(-5 + 7 + -1). Suppose 0 = -i*b + 10*b + 5. Solve 0*u + 5*u + b = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -44, -81, -132, -197, -276?\n\"Answer: -7*k**2 - 2*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 + 236*z - 236*z. Let w(m) be the first derivative of -m**3\/3 - 2. Calculate s(w(o)).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1110022111?\nAnswer: 1110022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*-5 + sqrt(117)\/(sqrt(9) + -2*sqrt(9)).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*x + 18, -2*p - 5 = -3*p - x. Suppose 4*r = 2*y - 24, -4*y - 5*r + 11 = 2. Suppose 31 - 7 = y*u. Solve -p*d = 5*a - d - 2, u*a = 4*d - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtftwtw. Give prob of sequence wttw.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*1 + 20\/(-15). Suppose -6 = 2*t, -6*i + 5*t + 15 = -i. Suppose -y + 2*y + 4 = i. Put g, y, 2 in decreasing order.\nAnswer: 2, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 678852?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/51057 and -1\/216.\nAnswer: 408456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqgedgqgqiq. Give prob of picking 2 q, 1 g, and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k - 2. Let d be (0\/(-3))\/(0 + k). Let s be (d - (-6)\/(-27))*3. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -221a180 + -3?\nAnswer: -221a183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2407 - 2400. Which is the closest to -0.14? (a) -0.4 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001001 (base 2) to base 14\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 390*j + 8. Calculate i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*o + 8 = -4*z, o = 4*z + 5. Suppose 3*i - 31 = -43. Put -7, i, z in descending order.\nAnswer: z, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26664*a**2*b*j**2*u - a**2*b*j*u + 2*a**2*b*j - 3*a**2*j**2 + 3*a**2*j*u - 242142*a*b*j*u - 3*b*j**2 - 2*b - 7*j*u wrt j.\nAnswer: 53328*a**2*b*u - 6*a**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - s + s + (0*s - s - s)*(5 - 5 + 1) + 3 - s - 3 - 5*s - s + 4*s + s - 6*s + 4*s + (s + 3*s - 2*s)*(6 - 5 + 0).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 56 = -37. Let w = 136 - q. Let n = -26 + 37. What is the remainder when w is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 8, -1, -2, 25 in increasing order.\nAnswer: -2, -1, -0.4, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.98 + 0.02. Suppose -2*k - 4 + 10 = 0. Let q be -1*(1 + (-6)\/8). Which is the nearest to q? (a) k (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y*y\/(y\/(((y\/y**3)\/y*y)\/y)))\/(y**(-2\/3)*y)**(-1\/21) assuming y is positive.\nAnswer: y**(253\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 136974*t + 10*t**3 + 136972*t + 1 + 7*t**4 - 3*t**2 to v*t**3 + i*t**2 + m*t + b*t**4 + p and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - n = 3, 0 = -3*l - n - n + 5. Let b be -2*((-50)\/(-4))\/5. Let f be (-50)\/(-125) - 720\/(-200). Sort 6, f, l, b in increasing order.\nAnswer: b, l, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7283 is divided by 3106?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 205*h - 620. Let f be p(3). Let u(t) = -t**3 - 4*t**2 - 6*t - 14. What is u(f)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 a, and 1 o when four letters picked without replacement from vvooiovoaimio?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 10)*(-3*v + 4*v - 3*v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1297945465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1111 = -5*v + k, -3*k = -0*v - v + 225. Let r = 352 - v. Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:07 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430200 divided by 5.\nAnswer: -86040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 1210398?\nAnswer: 13314378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1424 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 294 + 9179?\nAnswer: 9451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102008 and 43829.\nAnswer: 109046552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 7444 + 956. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 6. Suppose -4*m + 9 = -p. Suppose -53 = -m*z + 3. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 12. Let n be l(-13). Let j(o) = -o**3 + 34*o**2 + 2*o + 1162. Let f be j(35). Solve -n*i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**5\/5 + u**4\/2 + 870*u**3 + 4*u**2 - 193*u + 4764. Find the second derivative of a(b) wrt b.\nAnswer: -12*b**2 + 12*b + 5220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19324, -0.3, -2\/3?\nAnswer: -19324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/107)\/n*n*n*n**(-22)*n**(-5\/9)*n**(-28)*n*n assuming n is positive.\nAnswer: n**(-45778\/963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 690 and 2970.\nAnswer: 68310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 0*l**2 - l**3 + 9*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -658092*s**3 + 1316210*s**2 - 52*s.\nAnswer: -2*s*(s - 2)*(329046*s - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - f**4 - f**4 - 7*f**3 - 2*f - 2 - 2 to the form b*f + x*f**3 + o*f**4 + a + n*f**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (2 - 0))*-9. Solve -4*y + q = 3*t, 0 = -4*t - y - 0*y + 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 5*z**2 + 5*z + 1. Let h be -2*(-5)\/30*18. Let p be (-240)\/(-56) - h\/21. Calculate i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b97a9b - 0?\nAnswer: 4b97a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 864609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j**3 - 7140*j**2 + 1912*j + 5184 = 0. What is j?\nAnswer: -8\/11, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -8*a - 0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2748 = o + 2750, 18 = -2*o - q for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 1, p: 1, m: 2, k: 1, n: 1}. Give prob of sequence kspr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 1.\nAnswer: -12, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334.385 - -1.815. Let k = -338 + n. What is the biggest value in 4, 1\/2, k, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -155?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 174896227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 725*(664\/120 - 3\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1035504.1 * 0.6\nAnswer: -621302.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = -2*d + 14, 29 = -4*p + 5*d. What is the tens digit of 2\/(-60)*p - (-224)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 156, 160, 164, 168?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-6)*(-20)\/(-25). Let v be (-4)\/o - (-10 - (-1 - 0)). Suppose -g - 546 = -v*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(6) + (2*sqrt(36))\/sqrt(6) - (-2*sqrt(60))\/sqrt(10)))\/(((sqrt(288)*-1 - sqrt(288)) + sqrt(288))\/(1*sqrt(486) + sqrt(486))).\nAnswer: 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -297788 + 297790. Factor -6\/5*x**4 - 3*x**3 + 0*x + 0 + 9\/5*x**c.\nAnswer: -3*x**2*(x + 3)*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -31*h**3 - 165*h**2 + 88*h + 206. Let y(i) = 11*i**3 + 56*i**2 - 29*i - 68. Let t(g) = -6*p(g) - 17*y(g). Determine t(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 1, n: 1, g: 2, j: 1, b: 1}. Give prob of sequence tn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -9*s**2\/2 + s + 3. Let h be f(1). Let v be ((-6)\/h + -3)*-20. Calculate the greatest common divisor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -214, 5, 2, -5, -675 in descending order.\nAnswer: 5, 2, 1, -5, -214, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176141 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*u**3 + 16*u**3 - 32*u**3 + 1468914 + 63948*u + 87154 + 876*u**2.\nAnswer: 4*(u + 73)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 4*t**2 - 6*t + 1. Let a be 1\/(-3)*(16 + -1). Let l be w(a). Let i(x) = x**3 - 6*x**2 + 6. List the prime factors of i(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n. Let p be (-108)\/26 - 2\/(-13). Let j(h) = 5*h. Let f(q) = p*k(q) - 5*j(q). Let i(b) = -3*b. Calculate i(f(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125756 divided by 31439?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 30*b - 3. Let v(q) = -q - 3. Let x be v(-2). Let l be t(x). Is l smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 17)*(3 - 3*t + 6*t - 5*t)*(-2 - 2*t + 2) to the form f*t**2 + u*t + v and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 12 + m - 1\/9*m**3 - 1\/90*m**5 - 1\/18*m**4 - 1\/9*m**2. Let g(w) be the first derivative of l(w). Factor g(r).\nAnswer: -2*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5*(-10)\/(-42). Let u be (24\/(-10))\/(8\/(-20)). Let g be 4\/(-6) - u\/(-9). Is g bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 13. Let m be (7\/21)\/((-13)\/18). What is the closest to -0.1 in z, m, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 258682449382160.\nAnswer: 258682449382165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**2 + 32*v - 277?\nAnswer: 2*v + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55431 divided by -55431.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2045251543 - 1?\nAnswer: -2045251544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*n - 43*n - 91. Suppose n*x + 10 = 9*x, -5*x = 4*y - 949. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 31 = 5*q, 5*q + 3*m = -34. Does 8 divide ((-897)\/9)\/(-1) + q\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*y**6 + 3*y**5 - 5506*y**3 - 7598*y**2 wrt y.\nAnswer: -720*y**3 + 180*y**2 - 33036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99477 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -2.8. Let r = 5.4 + -0.4. Which is the second biggest value? (a) g (b) -2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2805 by 1936.\nAnswer: 255\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9334 (b) -22 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46541 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24299\/19 + -1279. Suppose -62 = -8*w - 14. Let o(k) = 2*k**2 - 11*k - 1. Let u be o(w). What is the second biggest value in 0.06, u, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*g**4 - 2\/7*g**2 - 1\/7*g**5 - 5\/7*g**3 + 0*g.\nAnswer: -g**2*(g + 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17068 and 1292.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1 - 1*-1. Suppose 6*h - 5*h = -4. Let d be (-48)\/(-170) + h\/10. Which is the nearest to -2? (a) 1 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92036*q**2 - 92030*q**2 - 8*q**3 + 184066*q**2 - 26*q**3.\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**2 + 160*x + 163*x - 293*x - 3*x**3.\nAnswer: -3*x*(x - 5)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.54 + 287.54. Let p = w + -279.99846. What is p rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 27*g - 18. Let k be a(-24). Suppose -52*m = -k*m. Factor -3\/2*t + m + 3*t**2 - 3\/2*t**3.\nAnswer: -3*t*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let p be 15\/(-12) - (-6)\/c. Suppose 0*l**2 + 0 + 0*l**4 + 1\/4*l**5 - 1\/2*l**3 + p*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h. Let j(v) = -2*v**3 - 5*v**2 - 5*v + 7. Determine -j(c) - 5*w(c).\nAnswer: 2*c**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 466 divided by 3\nAnswer: 466\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 3, -5434, 4 in descending order.\nAnswer: 59, 4, 3, -5434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515.16*0.089.\nAnswer: 45.84924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**3 - 142*s**2 - 107*s + 42.\nAnswer: (s - 21)*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -82. Is i >= -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2530?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104497.\nAnswer: 83, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -18*x. Let t(b) = b**3 + 3*b**2 + 3*b - 6. Let q(r) = -r**2 + 6*r + 4. Let j be q(7). Let f be t(j). Let c(s) = s + s - s + 0. Give f*c(n) - l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 19*m - 30 = 0. Let u be (2 + (-4)\/3)\/(50\/m). What is the nearest to 0 in -2, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43188761?\nAnswer: 7, 11, 560893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*b**2*h**3 + 2*b**2 - 9*b*h**2 wrt h?\nAnswer: 924*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1145, -4207, -9219, -16181, -25093, -35955?\nAnswer: -48767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/189 + 8*f**6\/135 + 43*f**5\/90 + 29*f**4\/27 + 8*f**3\/9 - 200*f. Determine b, given that t(b) = 0.\nAnswer: -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -3. Let x = -25 - z. Which is the second biggest value? (a) 0.5 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 80. Let p = -10 - -15. Let q(k) = p*k + 20 - 2*k - j. Give q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.369741 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.628 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k + 59. Is h(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(605) + sqrt(605) + sqrt(605)))\/sqrt(11))\/(((sqrt(704) + 2*sqrt(704) - sqrt(704)) + sqrt(704) - sqrt(704))*4).\nAnswer: 9*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 - 612*t**3 = 0. Calculate t.\nAnswer: -612, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuouuuuuuuououuuuuuu. What is prob of sequence ouuu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2870 and -44\/136735.\nAnswer: 1914290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = -5*n. Suppose 3*k = -2*g + 24 + 1, 5 = 4*g - n*k. Suppose -g*l + 2*l + 3 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - 5*(sqrt(684) + sqrt(684)*1 + sqrt(684)))*4 + -3.\nAnswer: -336*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.0450194 and 1.\nAnswer: 2.0450194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 444*n + 2231. Calculate k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4141 is divided by 125?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 776 and 4559.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 37 = -4*q, -6*q - p - 41 = -11*q. Calculate the least common multiple of q and 34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 170.7176 micrometers?\nAnswer: 170717.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 726 - 730. What is the nearest to -0.3 in -0.2, 3\/4, p, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -114. Suppose 24 - v = -2*o. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 2*k + 40, -495*s = -500*s - 5*k - 100 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4536 and 10396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 31. Suppose -33*o = -30*o - r. Suppose o*u + 14*u - 2363 = 0. What are the prime factors of u?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12965461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*w**3 + 2*l**2*w**2 - 58*l**2*w + 5*w**5 wrt w.\nAnswer: -12*l**2*w + 4*l**2 + 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 51*1 - (0 + 1). Let i(k) = -8*k. Let o be i(3). Let p = o + c. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 - 10*q + 194. Calculate the remainder when 388 is divided by v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1) + 1\/1. Let f = -78.5 + 69. Let s = 7.5 + f. Which is the biggest value? (a) -4 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -5534?\nAnswer: 5531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + -3001340?\nAnswer: -3001232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*x + 0*x = 0. Sort 9, -0.2, x in decreasing order.\nAnswer: 9, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-6 + 12 + -10 - -2) + -2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-13 - -2) + -30 - -19.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(10*2\/80).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, 0, 492146, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zuywzhzzuhzwwzh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1067\/6 - 7451\/42. Let p(k) be the second derivative of 5\/14*k**4 + 2*k - 27\/7*k**2 + l*k**3 + 0 + 3\/70*k**5. Factor p(m).\nAnswer: 6*(m - 1)*(m + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27bb8b8 (base 13) to base 6\nAnswer: -1125522354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**4\/24 - o**3\/3 + 2*o**2. Let d be k(2). Suppose 4*q - 1 - 203 = d. What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.5 - -18. Let g = 2.7 + -1.7. Is g greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*w + 3*z, -3*z + 15 = 4*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111 - -2?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238530996 divided by -132.\nAnswer: 1807053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666, -1304, -1942, -2580?\nAnswer: -3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214837037 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 7*k. Let u be r(7). What is the first derivative of u*b - 3*b - 3 - 2*b + b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 2*y + 2*y**2 - 4*y**2 + 13*y**3 as j*y**2 + f + c*y + d*y**3 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132672990049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 14, 22?\n\"Answer: 8*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 232*y - 228*y + 29 = 0, 2*m - 14 = -0*y + 4*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425373 is divided by 881?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3. Determine h(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.2, -0.1, -1\/8, 1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 26 + 7 = 0. Let c = 12 + l. Let u = -153\/392 + 3\/196. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32*-0.6\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -970596\/667 = -1454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91\/5 - -1011\/55. Let n be -1*169\/(-234) - (-4)\/(-18). Which is the second smallest value? (a) y (b) -8 (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 228 (c) -0.3 (d) -3\/835 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u**3 - 11*u**2 - 15*u - 6. Let j(d) = 2*d**2 + 2*d + 1. What is -6*j(h) - p(h)?\nAnswer: 9*h**3 - h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-19.6\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48942406 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063497415.\nAnswer: 5, 212699483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2333 + 3304. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 915767, 1831545, 2747319, 3663089, 4578855, 5494617?\n\"Answer: -2*c**2 + 915784*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-9 - (1 - (8 + -4)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9836 + -9835.985678. What is y rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4)\/(-18)*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15)*68\/(-408))\/(1*(-3)\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j - 5. Let v(k) = -k. Give q(h) - v(h).\nAnswer: -6*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 4*y + 96425 = 0. List the prime factors of y.\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1089710 or -1089719?\nAnswer: -1089719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let m(v) = -3*v. Let h(s) = -7*j(s) - 2*m(s). Let o(u) = -7*u**2 + 5. Let k(g) = 4*g**2 - 3. Let d(r) = 10*k(r) + 6*o(r). Give h(d(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/49 and 7\/11.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from aaaaaakaakaaaaaaak.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*a - 25 - 3, -3*b + 101 = a + 78 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {t: 1, m: 1, x: 4, u: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18 - 31\/(-310)*605.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280204.86 months in centuries?\nAnswer: 233.50405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 11, 2\/19, 1, 2.\nAnswer: -0.1, 2\/19, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + c + 1, -2*c = 5*u - 2*u + 2. Let t be (15 - 2)*1 + u. Calculate the greatest common factor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(252) - (sqrt(252) + -1)))**2 + sqrt(56)\/(sqrt(56)\/sqrt(7)).\nAnswer: 3*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 24199?\nAnswer: 24206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 33. Let c = -50 - -50. Suppose -24*d + 23*d + 6 = c. Calculate the lowest common multiple of y and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(91\/13)\/(-126)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1317420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 8003577.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/(-12)*12\/10. Let v = -2 + 3. What is the greatest common factor of v and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 90.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*j = -11, -j - 6 + 1 = -2*c. Solve 0 = -4*x + 4*u - 12, -u = -5*x - c*u - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122514830 to the power of 1\/2, to the nearest integer?\nAnswer: 11069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 307, -0.13?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93849072, -93849073, -93849074, -93849075?\nAnswer: -93849076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -186*m**2 - 49850*m - 518. Determine y(-268).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:06 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(176) - sqrt(176))**2*-3 - (sqrt(176) + -1)*-4) + (-4 + (sqrt(176)*2 - sqrt(176))**2)*-2.\nAnswer: -348 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 131, 1, -5, 2 in decreasing order.\nAnswer: 131, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1968 and 12.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 7 + 7*g**4 + 2*g - 15 + g**3 + 9 to the form a*g**3 + d + t*g + l*g**4 + i*g**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 2. Let f be r(3). Let u(j) be the second derivative of -3*j**4\/2 - j**3\/6 - 2*j. What is u(f)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (356\/22517)\/(20\/110).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 16*i**2 - 63*i - 109. Give z(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 163966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 5*u**2 - u - 1. Let t be o(5). Suppose 4*x - 9 = 2*x + q, -3*x - 5*q + 20 = 0. Let a = x - t. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 7523138 - 7524035 = 0 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2530 + 2535. Which is the fifth smallest value? (a) 2\/3 (b) 10\/3 (c) h (d) -34 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -83 + 323. Calculate the remainder when (-1 + 9)*(((-2596)\/8)\/11)\/(-1) is divided by k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8271650 and 570.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 14 + 26)*(13*b + 22*b + 20*b).\nAnswer: 2200*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94 and 24?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from idrird.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from egxetvs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27688165 by -285445.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1512684 (base 9) to base 15\nAnswer: 117747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6181, 26658, 61433, 110506?\nAnswer: 173877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8805 + -0.1195. Suppose 0 = 4*g - 5*v + 43, -44 = -0*g + 4*g - 4*v. Let b be (g\/8)\/(3\/(-44)). Is i greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55439271 by -18479757.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**5 + 2*y**3 - y**2 - y - 1. Let o(q) = -25*q**5 + 35*q**4 - 55*q**3 + 105*q**2 - 100*q. Let z(v) = -20*m(v) + o(v). Factor z(c).\nAnswer: -5*(c - 2)**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-959)\/42*-17)\/((-1)\/(-2)). Let r = y - 769. Find the common denominator of r and -47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766116357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25604260 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-36)*(-84)\/(-112)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 787\/1542 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - t + 7 = 0, -x + 7*t = 3*t + 10. Suppose -x*n = -n - 3. Let v = n + 19. What is the highest common factor of 55 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let r(y) = 22730*y**2. Determine j(r(t)).\nAnswer: -68190*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, z: 4, b: 5}. What is prob of sequence nbb?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 14. Let z = 19 - h. Solve 4*v - z = -6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 484*w**5 + 3661152*w**4 + 244443996*w**3 + 88525648*w**2 + 8036784*w = 0. What is w?\nAnswer: -7497, -67, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 5, f: 6}. What is prob of sequence ffoc?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2, 2, -5.\nAnswer: -45, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 10. Suppose -2*n - i - 31 + 35 = r, -24 = -2*n + 4*i. Solve 6*b + 16 = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g + 1. Let p(f) = -17*f**2 + 2*f - 6. Let i(z) = p(z) + q(z). Let j be i(17). What is the units digit of 129\/9 - 2\/(j\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113543 and 188581.\nAnswer: 1259532499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -954747.84 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 899*r**2 + 3683*r - 13. What is l(-4)?\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/6))\/h**31*h**(1\/27)\/(h\/h**(1\/11)) assuming h is positive.\nAnswer: h**(-18437\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1\/6, -0.3 in increasing order.\nAnswer: -0.3, 1\/6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 12*z - 6. Let o be t(-11). Let y = -490 + 500. What is the greatest common divisor of y and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000001011100001 + -1011?\nAnswer: 1110000001011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 4*o**3\/3 - 7*o**2 - 4*o - 41. Give x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r - r - 7*r**2 + 7*r + 20*r**2 + 2*r**3 + 5. Let p be c(-6). Put 2, p, 1 in increasing order.\nAnswer: 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143.139 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/27)\/(2\/9). What is the remainder when ((-10)\/d)\/(7\/(-49)) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*f = -0*q - 985, q - 241 = 3*f. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**5\/7 + 45*j**4\/7 + 102*j**3\/7 - 108*j**2\/7 - 456*j\/7 - 288\/7 = 0.\nAnswer: -12, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 1\/20*a**5 - 1\/8*a**4 + 0*a + 1\/3*a**3 + 0 - 5*a**2 + 1\/120*a**6. Give s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 - 8*b + 27 - 10 - 11 + b**2. Calculate j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 6 - -1*3. Solve -3*i = 2*u + p, -u + 2*i = -2*u - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-36))\/(2*(-36)\/64)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/6 - -2) + 3. Let h(r) = -r - 7. Let m(q) = -q**3 + q**2 + 3*q. Let d be m(3). Let t be h(d). Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 44 = -0. Suppose 0 = -w + 49 + x. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 at least 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/47 + 112\/423. Let z = 47982 - 47982.07. What is the second smallest value in l, -1, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 21 - 18)*((0*v**3 - 2*v**3 + v**3)*(4 - v - 4) + 50*v - 11*v**4 - 50*v) to z + y*v**2 + c*v + h*v**4 + i*v**3 and give h.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31218.65 centuries to decades.\nAnswer: 312186.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 4*d, -2*d + 1 - 3 = -3*b. Suppose -4 + b = 2*s. Is 12 a factor of -2 + 25 - s\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 times 57.26?\nAnswer: -24.6218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657 + 17*m**2 + 637 - 2741 + 623 + 711.\nAnswer: 17*m**2 - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 6. Suppose -5*d = 2*h + 27, -2*h = 2*h + 3*d + 33. Let m(l) = -5*l + 13. What is h*m(y) + 14*u(y)?\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*g = -0*n - 2, 5*n = g + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 20*q**3 - 6*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3167, 3164, 3149, 3116, 3059, 2972, 2849?\n\"Answer: -w**3 + 4*w + 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 0, -4.\nAnswer: -4, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:25 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -63*g - 2. Let o(u) = -63*u - 1. What is -3*o(h) + 2*x(h)?\nAnswer: 63*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 101, 150, 203, 260, 321?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110172828 divided by -6.\nAnswer: 18362138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23564 (base 8) to base 10\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41903\/5 - 8374. Find the common denominator of 43\/254 and t.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(75) + -2*sqrt(75))**2 + sqrt(75) - sqrt(75)) + -3 - sqrt(75) - sqrt(75))*1 - ((sqrt(75)*1 + sqrt(75))*4 + 4)).\nAnswer: -250*sqrt(3) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 64, 215, 496, 949?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16 = -10*q. Let z(m) = -m**2 - 7*m - 7. Let d(f) = f + 1. Determine q*z(i) + 14*d(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*q + 6 = -0*x, 4*x - 2*q = 2. Let n = 6 + -4. Calculate the highest common factor of x and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s. Suppose s = 2*w + 3*m + 4, -3*m - 2 - 4 = 0. What is the units digit of -24*1\/(-2 - w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 0 = h. Solve 5*f = h*r - 4*r - 2, 2*f = 3*r + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -39*r**2. Let t = 371 - 367. Let d(l) = l + 2. Let x(q) = -q - 3. Let f(c) = t*x(c) + 6*d(c). Give b(f(z)).\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1, -11 in decreasing order.\nAnswer: 16, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 0.1, -1\/21, 1\/52, -2\/5, 4\/3, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 + 0*l**3 + (-2 + 3 + 1)*(l**3 - 2*l**3 + 3*l**3) + 5*l**3 + 0*l**3 - 3*l**3 - 2*l**3 + 4*l**3 + 0*l**3 + 200 - 250 + 3*l + 50 + 6468*l**3.\nAnswer: 6477*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1588*u + 5804*u**2 + 1659*u - 5807*u**2.\nAnswer: -3*u**2 + 71*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 40 - 3)*(-2*m**3 + 3*m**3 - 3*m**3) + (0*m**2 + 0*m**2 - m**2)*(-2*m + 1 - 1) - m**2 - m**3 + m**2 + 2*m**3 + 4*m**3 - 5*m**3.\nAnswer: -54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211346 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 279550, 1\/2, 3, -2\/15 in descending order.\nAnswer: 279550, 6, 3, 1\/2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 14\/(-4))*-12. Suppose 0*a = 2*a - v. Let n(l) be the first derivative of l**3\/3 - 1. Let b(j) = 3*j**2. Give a*b(y) - 8*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**3 + 0*x**3 - 3*x**3 + (-2*x**2 + 0*x**2 + 0*x**2)*(-136*x + 162*x - 213*x).\nAnswer: 376*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198006499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*o + 6*p, 4*o = 5*p. Suppose 0 = 2*m + 15 - 21. Suppose -m*h = -2*u - 24, o*u + 6 = -2*u. Solve h = 3*q - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90037 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3279*t - 6. Let z be s(-6). Suppose 13*l - l = z. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2868 - 1612. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224.1 * 3.5\nAnswer: -784.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*m + 49, 5*m + 3*i - 55 - 25 = 0. Which is bigger: 11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let q(s) be the second derivative of s**3\/3 - 3*s. Calculate b(q(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - -1.95. Let s = 4 - r. Put 1\/8, s, 0.4 in descending order.\nAnswer: s, 0.4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3\/7 (c) -0.046 (d) 2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 16 - (-11 + 1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, -2, 8, 0.04 in descending order.\nAnswer: 8, 2\/7, 0.04, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 3. Let u(z) = -2*z - 2. Let f(v) = 3*d(v) + 7*u(v). Let p be f(7). Let q be 26\/6 + p\/3. Solve 5*k + 0*k - q = 4*r, 0 = 2*k - 2*r - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**5\/120 + t**4\/8 - 5*t**3\/3 + 3. Let g(c) be the third derivative of r(c). Find the first derivative of g(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 + 19*i**2 + 35*i**2.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let d be (2\/(-4))\/(-5*1\/(-40)). Which is the nearest to 0.1? (a) -5 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*j + 18*j + 99. Suppose 12 = -j*d + 12*d, 1660 = 4*s - 3*d. What are the prime factors of s?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*q + 5*s, 3*s = -q + 11 + 16. Suppose 0 = 11*o - 12*o - q. Let m = o - -35. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 18) + 0 + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5\/5 - 4*l**4\/5 + 28*l**3\/5 + 52*l**2\/5 + 24*l\/5 = 0?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2. Let x be ((-4)\/20*-3)\/(7\/(-35)). What is d(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89320 divided by 10?\nAnswer: 8932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r - 3*m = -m + 151, -21 = 4*r + 4*m + 8 - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-217.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1\/6, 124390\/123.\nAnswer: -3, 1\/6, 3, 124390\/123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33201 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*z + 37*z - 24. Suppose f + 3 = j + 1, 2*f + 4 = -5*j. Let l(q) = q - 3. Let m be l(j). Put m, -4, 1, z in descending order.\nAnswer: 1, z, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*c = 19*c + 137025. List the prime factors of c.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -0*o - 2*o - q, q = 4*o + 120. Suppose 4*c + 128 = g, 2*c - 7*g + 12*g + 64 = 0. Let y = o - c. Solve -3*t + 6 + 0 = y*d, -4 = -d - 2*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*-4)\/(sqrt(60)\/sqrt(300)).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**4 + 16*z**2 - 804 + 804 - 52*z**3.\nAnswer: 4*z**2*(z - 4)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5660924 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 154*t**2 - 2677*t + 269. What is j(-134)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 - 18*c - 85. Calculate the remainder when o(-3) is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + 2 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.5866cm in kilometers?\nAnswer: 0.001795866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 41 (c) 0.1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14079, -28179, -42279, -56379?\n\"Answer: -14100*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1995*r**3 - 4 - r**4 + 3*r**2 + 4 + 1996*r**3 to m + v*r**4 + o*r**3 + n*r + s*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5545831268 rounded to 3 decimal places?\nAnswer: 0.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*c**5 + 92*c**2 wrt c?\nAnswer: 14160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllllddldlllll?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*x + 3*j + 97, 3*j = x - 11. Let o = 22 - x. What is the remainder when 2 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s - 28 = 0. Let k(p) = -p + 30. Let n be k(s). Let a = n - 17. Calculate the lowest common multiple of a and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -53. Solve -4*n - 10 = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.02, 3\/8, 92, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243016.\nAnswer: 2, 7, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 27*x + 17. Let y(f) = 1 + 9*f - 1 + 24*f - 32*f. What is y(i(k))?\nAnswer: 27*k + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101675, -3, 5 in increasing order.\nAnswer: -101675, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -290, -368, -374, -284, -74?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -74. Calculate the highest common divisor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 5*b**4 + 3*b**2)*(-2 + 1 - 3*b + 2*b).\nAnswer: 5*b**5 + 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2346 - -30?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m - 30. Let p be x(5). Suppose 0 = -4*a - 2*c + p, 0 = -a - 6*c + 5*c + 2. Solve 3*u - 3*z = 15, a*u + 9 + 6 = -3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 7*d + 1368. Let b be d\/(-30) + 2\/(-5). Let a be (-1)\/(-2 - (-23)\/b). Is a at least as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qss when three letters picked without replacement from {s: 3, l: 1, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13598382 and 2254.\nAnswer: 13598382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 533\/3, 0.08, 1, 4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 10*i**2 - 18*i - 2. Suppose 3*d - 4*d = -m + 13, 0 = 3*d - 2*m + 37. Let f be q(d). What is the highest common factor of 30 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -22 + (-2 - (0 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365e - 1ef?\nAnswer: -384d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 70*h**3 + 26*h**2 + 23*h + 17. Let y(i) = -24*i**3 - 9*i**2 - 8*i - 6. What is 6*f(t) + 17*y(t)?\nAnswer: 12*t**3 + 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 - (-6 + 5 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-63) - (-16)\/56.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41728622 * 0.08.\nAnswer: -3338289.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 972 - 580. Let q be 5\/(-2)*b\/(-20). List the prime factors of 0 + 0 + (q - -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0)**34)**(2\/111))**(7\/4) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 104885.8713us?\nAnswer: 0.00000017342240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 297448.1 times -1.2\nAnswer: -356937.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 460911 - -a?\nAnswer: 46091b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 191290000 to the nearest 1000000.\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus -9.32?\nAnswer: 9.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/9 - (-2)\/9. Does 2 divide (-10)\/(-3) - (-2)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313502.50778 + 70\nAnswer: -313432.50778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110426187 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 10:08 PM?\nAnswer: 632","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from izzzzyyizi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13487307 or -13487280?\nAnswer: -13487307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 4*y - 8. Let s be u(6). Let o be 5\/2*(-16)\/s. Suppose -3*h + l = 11, -4*l + 6 = -o. Put -2, h, -4 in descending order.\nAnswer: -2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 2 + 3 + 3*y**2 + 5*y. Let k be z(-4). Suppose c = 3, 0*c = p + 3*c - k. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*((a**(-1\/3)\/a)\/a)\/a*(a**(2\/13)*a)\/a)\/(a*a**(2\/5))**(-19))**(2\/73) assuming a is positive.\nAnswer: a**(9914\/14235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 180. Let k(b) = 8*b - 14 - 8*b**2 + 8*b + 6*b**2. Let s be k(7). What is the hundreds digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 788*n - 241. What is y(132)?\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 27. Let y = 1 - s. Is y less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-750)\/(-20)*12\/9. Let q be 3\/(-2*15\/k). Let j(d) = -d**3 - 3*d**2 + 4*d - 7. Give j(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y - 2*y - 2*y**2)*(-4*y**3 - 3*y + 3*y).\nAnswer: 4*y**5 + 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 plus -1.7161?\nAnswer: -1.9461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 11. Let d(l) = -5*l**3 + 7*l**2 - 3*l. Let x(f) = 2*f**3 - f**2 + f. Let t = -76 + 75. Let s(n) = t*d(n) - 3*x(n). Determine s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 71 + -1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1837 (b) -0.3 (c) -2 (d) 1\/4 (e) 1 (f) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + 4 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 10*n**2 - 11*n + 1. Give w(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*n = 24. Let b(s) = -s + 5. Let v be b(5). Suppose -2*a - 68 = o - 74, 2*a = -5*o + 22. Put v, a, -1, n in descending order.\nAnswer: n, a, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62720 and 980?\nAnswer: 62720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (2 + 0)*-4. Let j = -9 - c. Let z(l) = 86*l - 1. Let d be z(j). Calculate the greatest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 5. Let z(r) = -r + 15. Let j be z(8). Let m be p(j). Let o be (-10)\/((0 - 1)*m). Which is the nearest to 0? (a) -0.5 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 2, s: 4, w: 3, r: 1}. Give prob of picking 2 w and 1 g.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = -5*z - 0*v, -18 = -z - 3*v. Let y = 5 - z. Suppose 8 = 5*n + y*k, k = 3*n + 4*k - 12. Solve -2*r - 12 = 4*l, -r + n*r - 5*l = 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y + 13. Let w be h(-2). Let o(r) = 17*r + 21. Let a be o(w). Let g = -62 - a. Solve -g*c + 3 - 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o. Let q(g) be the third derivative of g**5\/20 - 2*g**2. Give i(q(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -12.7.\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67091, 133610, 199545, 264890, 329639, 393786, 457325?\n\"Answer: -h**3 - 286*h**2 + 67384*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 337 - 1521. Suppose 7*q + 2*v - 222 = 4*q, 4*q = 5*v + w. Let s = q - 12. Calculate the smallest common multiple of 20 and s.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 8*m. Let j be t(10). Let r be (-3)\/(-5) - (-12)\/j. Suppose -2*g - 5*p + 56 = 0, r = -0*g + 4*g - 3*p - 86. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29674 and 14.\nAnswer: 207718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-12)\/120*5)\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 4*w)*(2*w - w + w) + 3*w**2 + 2*w**2 - 4*w**2)*(w + 2*w - 2*w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 59 = -4*y + 5*y, d - 33*y - 1 = -0*d - 36*y for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 12, x: 6}. What is prob of picking 1 s and 1 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -271, -66\/355?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2706040 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40040 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b95b (base 13) to base 7.\nAnswer: -642630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 2*n - 1. Let q be z(-1). Solve -r - q = 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4279329.10241 + -4279390. Let f = -60.9 - v. Round f to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 15*h**4\/4 + 6*h**3 - 27*h**2\/2 - 6*h - 51. Factor p(f).\nAnswer: 3*(f - 1)*(f + 2)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -21, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -628080 * 16\nAnswer: -10049280","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(147)) + 0 - 3*(-1 + sqrt(147) + 1).\nAnswer: -28*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7810 - -7809.94. Which is the fifth smallest value? (a) 3 (b) 11 (c) t (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b12 (base 12) to base 9.\nAnswer: 41665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + r - 3 = 0, 0*t + 5*r = -4*t - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 0, -1\/4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 528231*i**2 + 387297?\nAnswer: 1056462*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 53 - 291 = 49 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324972225 divided by -10482975.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -858592*x**4 - 478*x**2 + 494.\nAnswer: -20606208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/4 - (-3)\/6. Let i be 2436\/280*10\/24 + -4. Let s = -37 + 37.4. Put i, s, j in descending order.\nAnswer: j, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3463512 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -17. Suppose 0 = 3*k - h - 34. Is 5 a factor of 69\/k - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 1.8 (c) 3 (d) -417 (e) 3\/2 (f) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 1. Factor 0 + 5*b**2 - 2*b**2 - p*b + 0.\nAnswer: 3*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**5)**(-40)\/(j**(-2\/9))**(-8\/3) assuming j is positive.\nAnswer: j**(3224\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/6 - (3 + (-9 - -2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59750198?\nAnswer: 2, 67, 127, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3688 + 3948 = 13*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 866?\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 1 + 5. Let q = 26 - 23. Solve d = q*k + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9825 and 5371?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-62)\/155)\/((-1)\/8005) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31954 - -32030. Solve -102*a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-3)\/(0 + -3)). Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*y + 2 = 23, 7 = -2*o + 3*y. Suppose 486 = o*q - 502. What are the prime factors of q?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.9, -72, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, 1 r, and 1 y when four letters picked without replacement from rymrlmmmmryarrrrrr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005875683 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 4430*g**2 - 6348*g - 10681. What is the derivative of f(q) wrt q?\nAnswer: 8860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 1 (c) 0.1 (d) -157391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 + 170*o - 44. Determine c(-7).\nAnswer: -1381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 19*t**2 + 69*t + 167. Let y be s(-6). Suppose 0 = 3*j - 3, r - 1 = -r - j. Suppose 5*p + 4 = -1, 4*h + 3*p + 11 = r. Sort y, 4, 1, h.\nAnswer: h, 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 + -184. Let f be -4*2\/g*5*1. Suppose 5 = m - s, 4*s + 0*s + 20 = 3*m. Solve 2*x - f*x + 9 = m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-seven fifths of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(117) + sqrt(117) + sqrt(117)) + 5*sqrt(117)*-1)\/(sqrt(18)\/(1*sqrt(2)) - (sqrt(9) - -4*-2*sqrt(9))).\nAnswer: -21*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*6\/(-18) - 57\/19)*(-6)\/(-108)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*n + 4*d, -n - 5*d + 0 + 17 = 0. Suppose n*b + b - 4*h = 46, -3*h + 6 = 0. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 248.94 to zero dps.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -113. Let n be (-2 + -8)\/((-25)\/k). Solve -2*w + 2*t - 6 = 0, 5*w + 0*t + n = 2*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 28. Determine n(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15 + -13 + (-1 - -3 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 293*k**2 - 829*k - 17479. Determine w(296).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.383098.\nAnswer: -0.1532392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2. Let d(s) = -36*s. Determine d(r(p)).\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*s**2 + 57*s**2 + 274*s - 274*s.\nAnswer: -239*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 36 = -4*o, 2*j + 2*o + 6 = -2*o. Suppose -15 = 3*u, 5*u + 66 = j*v - 34. Solve 0*i = -3*n + 3*i - v, 4*n = -3*i - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 6791\nAnswer: 19\/6791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 113?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 19. Let a = q - 7.3. Let i = 225.62 + -228.62. What is the nearest to i in 4, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*r + 204*r + 190*r - 231*r)*(0 + 0 - r).\nAnswer: -248*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i = 4*j + 40, -3*i + 15 = 0. What is the nearest to 1\/3 in -2\/9, -8, -2\/3, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198037183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1311 divided by 69\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 147. Let t = l + -57.063. Is t bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*u)*(3*u - 2*u - 4*u + (1 - 1 + u)*(12 - 3 + 25)) as y*u + h + x*u**2 and give x.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/110*-6)\/((-1640)\/25). Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37695030 + -14025030. Round m to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 171806 = -415*t + 569970. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25354 - 4910 = -3*c + 4*d, -3*c + 3*d = 20445. What is the common denominator of (-1)\/30*c\/128 and -5\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 0.02. Let x = l + 0.032. Let i = x - 0.09. What is i rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 20*q - 34. Let a be w(18). Suppose 4*s - 306 = -0*v - a*v, -2*v + 2 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2. Let a(w) = -w - 1. Let u(s) = 2 + 2 - 5 + 3 + 3*s. Let y(l) = 2*a(l) + u(l). Calculate y(n(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64, 352, -7, 3, 2 in descending order.\nAnswer: 352, 5, 3, 2, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-68)\/(-74800)*-20)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 + 0.06. Let w be (-4)\/10 + 1196\/(-20). Let p = -60 - w. Which is the second biggest value? (a) 3\/7 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -5, -7, -2, 3 in decreasing order.\nAnswer: 3, -2, -5, -7, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7007129119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 73*w**2 - 18*w - 1339. Calculate h(-73).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 + 8*w - 3*w**2 - 2 + 8*w**2. Let i be r(3). Find o, given that 3*o + 105*o**i + 8*o**3 - 9*o**2 + o**3 - 108*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 - 1. Let d(s) = 8*s**3 + 10*s**2 - 4. Let b(x) = 2*x**2 - 151*x - 1616. Let u be b(85). What is u*d(l) + 10*y(l)?\nAnswer: 2*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 20. Suppose z - q*a = 29, 5*a = 5*z - 36 - 9. Suppose x - 88 = -3*t + 41, z*t - 2*x = 162. What is the highest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:40 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -140 + (58 - (-187 - -258)).\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 102181620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 97 * 30\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from hhkkpppkpphk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/4)*s))**(2\/43)\/(s**(-1))**(-29\/2)*(s\/(s\/(s\/(s**2*s))))\/s*s**1*s\/((s*s\/(s*s**(2\/15)*s))\/s*s)*s**(-3) assuming s is positive.\nAnswer: s**(-11854\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -5184*y**5\/5 - 12*y**4 - y**3\/18 - y**2 + 417*y - 2. Find t such that v(t) = 0.\nAnswer: -1\/432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.53085 days in hours?\nAnswer: 1116.7404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07069*-3.\nAnswer: 0.21207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h - 249. Give a(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/110*(-1)\/(-1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -10536.36707.\nAnswer: -10535.36707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = 2, -2*z + 2 = 2*u. What is the second derivative of -3*g**z + g + 3*g**2 + 2*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + 6 - 4\/((-8)\/10). Let u = y + 3. Is 8496\/42 - u\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2252640 divided by -2964.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100567063 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -3827b?\nAnswer: 3827d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234983601.00000108 + -234983563. Let h = 38 - i. Round h to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21501877 is divided by 217.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:12 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 408*b - 3036. What is g(7)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -c7?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*15\/((-360)\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642523 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 + 4*b - 17. Let i be s(-7). Suppose r + i*r = 0. Let f be (-10)\/6*(2 + -5). Solve g = 2*n, r*n + 18 = -f*n - 2*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - y = -42. Calculate the common denominator of ((-1)\/y - 0)*(-720)\/(-270) and 13\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5003800 to the nearest integer?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48618360064142 minus 5?\nAnswer: -48618360064147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -190*d. Let m(y) be the second derivative of y**3\/3 + 166*y. Give m(c(b)).\nAnswer: -380*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 153 - 1676?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 143*s**2 - 38*s + 10. Is c(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**3 + 15*q**2 - 8*q + 3. What is z(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 10552587 and -424.3.\nAnswer: 10552162.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let x(f) = 16*f - 9. Let d(n) = -4*r(n) + x(n). Suppose -2*y + 0*y = -q - 8, -5*y - 4*q = -20. What is the tens digit of d(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 8. Let t be 4\/18 + (-14)\/63. Calculate u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1632 divided by -3105.\nAnswer: -544\/1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y - 8 = -74*y + 4*v, 0 = -3*y + 5*v. Solve 2*u = -3*k - 4, -y*k - 12 = u - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000418059 rounded to six dps?\nAnswer: -0.000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 20 - 21. What is the second smallest value in 8, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12248.77 - -12259. Put 2\/11, 5, z, 2 in decreasing order.\nAnswer: z, 5, 2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiw when three letters picked without replacement from {r: 3, j: 1, i: 6, d: 2, w: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/(h*h**2))\/(h**(-2)*h\/(h*h*h**(2\/9)*h)) assuming h is positive.\nAnswer: h**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6070 + -5841.01. Let v = r - 231. Round v to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 87 - 150468 = 0. What are the prime factors of g?\nAnswer: 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.861 times 279?\nAnswer: -52971.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8282063765?\nAnswer: 5, 9391, 176383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-9)\/486 + (-22 - (-14042)\/(-153)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-47)*(-1 - 0). Let c = 747 - 746. Is l <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67913181 divided by 8271\nAnswer: 8211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62461096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-12 + 8 - (-5 - -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.068, -1010 in increasing order.\nAnswer: -1010, -0.068, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4\/65 (c) 1 (d) 0.3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4*f*f**(-1)*f*f*(f\/(f*f**(-2\/5)\/f)*f)**6)**(-11) assuming f is positive.\nAnswer: f**(-1177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = p. List the prime factors of 6 + p + (-3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 752 and 137475?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 1. Let k(c) = c - 1. Let x(q) = -6*k(q) - 5*u(q). Let v(m) = -4*m + 35. Let s be v(10). Give x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1912.571 + 1921.5. Let l = d + -10.04. Round l to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -23 + 4 + 9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 12 = 10*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/98 and 107\/308.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9604 + 4674200?\nAnswer: 4674196.0396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, -21306, 1 in decreasing order.\nAnswer: 247, 1, -21306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 + 3 + 0*a**2 - 4*a**2 + 3*a**3 to m*a + o*a**3 + d*a**2 + u and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (588\/252)\/(5\/3570). What is the greatest common divisor of 147 and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 4:48 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(45) + -3 - ((sqrt(5) - (1 + sqrt(5) + -2)) + (1 + sqrt(125) - sqrt(125))).\nAnswer: -10 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 8 - 2. Let j(c) = -5*c + 2. Let p be j(m). Suppose 5*u - 207 = -p. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtuuyytuhhs. What is prob of picking 1 s, 2 t, and 1 h?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 9, t: 2, g: 5}. What is prob of sequence ex?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-4)\/(-6)*3). Suppose a*l - 5988 = -4*l. Suppose -b + 0*b + l = -s, 2*s + 3006 = -2*b. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 + 4*d - 3. Let q be n(-5). Suppose q*m - 7 = 1. Suppose -m*z - 36 = -108. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 + 5*i**2 + i - 15*i**2 + 5 - 2*i**3 - 4 to s*i + m*i**3 + o*i**2 + a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 + 67*r + 508. Calculate i(-7).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4 and -77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 13. Let n = q - -6. Let t(b) = 8*b**2 - 6*b**3 + 0*b - 5 + n*b - 5*b**2. Let v(k) = -k**3 + k**2 - 1. What is -t(a) + 5*v(a)?\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 34*x**2 - 35*x + 5. Let g be r(35). Let o = 0 - -2. Calculate the greatest common divisor of o and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 1. What is the greatest common factor of 56 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in seconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -9150?\nAnswer: -9150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 + 257 + (1 - (2 + -33))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + ((sqrt(539) + sqrt(539) + 2 + sqrt(539))*6 + 2)*1)*-2)**2.\nAnswer: 18144*sqrt(11) + 699840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 438378916 a multiple of 2972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -650 times 0.1\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 4}. What is prob of picking 1 d and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ykhkkzyzzkckyk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -684\/7 - -98. Factor t*r**3 + 0 + 2\/7*r**2 + 0*r.\nAnswer: 2*r**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2259117.6 months to years.\nAnswer: 188259.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 40. Calculate w(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 5*h**5 - 2*h**5 + h**5 - 2*h**5 - h**5 + (2*h - 3*h + 3*h)*(-4*h**4 + 0*h**4 + 2*h**4) - 2*h**5 - 3*h**5 + 4*h**5 + 1 - 1 + 2*h**5.\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (1*sqrt(1764) - sqrt(1764)) + (sqrt(72) + 1*sqrt(72))\/sqrt(2))\/((-2*sqrt(144))\/sqrt(12)*-3).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 times -1\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 595\nAnswer: 37\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 4*z**3 + z**3)*(618*z - 618*z + 272*z**2).\nAnswer: 272*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 9) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 3*k + 6. Suppose 16*p + 3 = 13*p. Let b(w) = -w - 9. Let i(n) = 3*n + 35. Let y(a) = 4*b(a) + i(a). What is p*z(h) - 3*y(h)?\nAnswer: -2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369050 = 185*x - 130*x. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35700 + 35700 - 243*n**2.\nAnswer: -243*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 11*a + 2. Let r be d(11). Solve -r = -k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/((-10608)\/1352))\/((-2)\/(-3)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 1 + sqrt(325))*-5 - sqrt(325))**2 + -1*sqrt(143)\/(sqrt(44)\/sqrt(4)) + -3.\nAnswer: 549*sqrt(13) + 39347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Suppose 7*c = 6*c + n. Let k(o) = -o - o + 3*o - c*o. Let x(l) = 14*l. Calculate x(k(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -291*i - 564*i**3 + 285*i - 1 + 562*i**3 in the form u*i**2 + x*i**3 + l + n*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 7) in base 12?\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -1. Let p = w - -39. Let g = p + -6. Calculate the remainder when 25 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7773\/25 + -5064121\/16300. Let y be 3\/(-2) + (-7275)\/(-4890). Let i = j - y. What is the nearest to i in -1\/2, -2\/5, 3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7070 and -47\/2020.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -523733?\nAnswer: 523735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (1 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*t + 2352, 4*t = -d + 1393 + 1750. Suppose 4*s - 367 - t = 0. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14436 (base 9) in base 13?\nAnswer: -4626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6df0b (base 16) to base 5\nAnswer: -103402230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -2, -0.06, 1, -6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -6*j - 7. Suppose 0 = -j*s + 22*s. Factor 0*o**2 + s + 2\/9*o**3 - 2\/9*o.\nAnswer: 2*o*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/4*(-2 - -1). Suppose v = 6*i - 5*i. Let b = 0 + 2. Solve 7 = -i*h - b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 89316549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let l be 14*2\/(-12)*f. Suppose 3 + l = i. Calculate the remainder when 37 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 161 + 0*o + 15\/2*o**2 + 5*o**4 - 65\/3*o**3. Suppose r(d) = 0. Calculate d.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2155 - 15080\/7. Which is the closest to 7? (a) v (b) 2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 371 or 369?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 422 + -286. Let z(n) = 22*n - w*n**2 + 229*n**2 - 21*n + 146*n**2. Is z(1) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 9*m + 5. Let g be j(8). Let z(l) be the first derivative of 1\/3*l**3 + 3\/2*l**2 - 1 + 3*l. Calculate z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 445, -17, 52, -4.\nAnswer: -17, -4, 52, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqqqw. What is prob of picking 2 w and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + l = 4*l + 12, 2*l = -5*s - 8. Solve s*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j + 3. Let s(q) = 10*q - 4. Calculate 6*s(p) + 5*y(p).\nAnswer: 5*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -99 and 0.036?\nAnswer: -3.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4517 + 4517.00010779. What is u rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 4*t**2 - 8*t. Let y be g(5). Let s = -53 - y. Find the second derivative of 105 - 14*b**5 - 105 - s*b wrt b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-2 + 17 - (2 + 61 + -52)) + 113\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 + 9*b**5 - 5*b**5 - 8*b**2 + 0*b**2 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 - 1710*j + 39312 = 0. What is j?\nAnswer: 24, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.38161895349 and 0.2.\nAnswer: -0.18161895349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37425368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/15)\/((-3)\/81). Let b(s) = -2*s**2 + 5*s + 7. Let l be b(d). Let r = -106 - l. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**6*z))\/(z**(-13)*z)*(z\/(z*(z*z**(-1))\/z)*z)**(-12) assuming z is positive.\nAnswer: z**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 80365618*b**2 - 80365618*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:37 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - -2.11. Let f = q - 0.2. Let u = f - -3. Which is the closest to -1? (a) -0.5 (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((28\/(-12))\/7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 340053+2\nAnswer: 340055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13735 or -13634?\nAnswer: -13735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36aa (base 15) to base 8.\nAnswer: 26563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/57 (b) 0.8 (c) 444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96011 - 67721. List the prime factors of t.\nAnswer: 2, 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*w**3*y + 5*w**3 - 2*w**2*y - 8815*w**2 + 10671319*w + y wrt w.\nAnswer: -300*w*y + 30*w - 4*y - 17630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p + 0*p**3 - 8*p**2 + 0 + 1\/12*p**5 - 35\/24*p**4. Factor i(o).\nAnswer: 5*o*(o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1217541931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*r**2 + 27735*r - 84899 = 0 for r.\nAnswer: 1163\/364, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 29*i + 29*i - i**3 - 8*i**4 - 4*i**4 - 10*i**4 + (i**4 - 4*i**4 + 4*i**4)*(-1 - 2 + 5) + 7*i**2 - 7*i**2 + 2*i**4.\nAnswer: -16*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 407337 plus -1607859?\nAnswer: -1200522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-16) + 965\/260?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 0.52 (c) 0.16 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*z + 7 = 4*n + 109*z, 2*z = 3*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:19 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 12 = -4*p, 24*t + 11 = -3*p + 19*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1931*s + 0 - 1280*s + 0.\nAnswer: 651*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.2 - -4.3. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(18) + sqrt(18) + (sqrt(18) + sqrt(54)\/sqrt(3) - sqrt(18))))\/sqrt(9)*-2 + 3)**2 + 3.\nAnswer: -108*sqrt(2) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 1 - 2. Let g = -1 - r. Let x(v) = -12*v + 96. Let n be x(8). Solve n = -g*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-30146.75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 10. Let b(l) = -l + 3. Let u be (1 - 4)\/(51\/68) - -2. Give u*a(h) - 7*b(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3 = 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**6 - 2*c**5 + 177*c**4 - 7388*c**2 + 1 wrt c.\nAnswer: -1680*c**3 - 120*c**2 + 4248*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6336036 plus 0.8?\nAnswer: 1.4336036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738054950.\nAnswer: 2, 5, 271, 54469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2464072 and 137\/1392.\nAnswer: 14784432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:20 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.15 + 4.68. Let v = 0.53 - t. Let r = 0.2 + -0.1. Which is the biggest value? (a) v (b) r (c) -3\/2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1032638566, -1032638565, -1032638564, -1032638563, -1032638562, -1032638561?\n\"Answer: t - 1032638567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 581, 870, 1159, 1448, 1737?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1851588 divided by -822.\nAnswer: -308598\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/20)\/(2\/(-10)). Suppose 2*q - 32 = -2*h, -y*h + 54 = 4*q - 10. Suppose 4*x = 4 + q. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*h**2 + 4217*h**2 - 1180*h**2 - 1856*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y + 6 + 1 + 0. Let u(l) = -2*l - 3. Let m(s) = 2*s**2 + 14*s + 7. Let a be m(-6). Calculate a*u(p) - 2*i(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -434*y + 457*y - 92 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b - 1594891 - 486977 = -40*b. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 - 181. Let l = 11 + -6. Solve -l*s = -5*i - 5, 6*i - i - p*s + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f - 195. Let w be 6690\/(-180) + (-2)\/(-12). What is the tens digit of q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4983\/385 - 13) + (-796435)\/(-175). Is 4552 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by (-12)\/(-96) + (-4)\/(96\/(-3645))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**4 + 25*p - 2 - 3*p**2 + 2*p**2 - 12*p to r*p**2 + f*p + k*p**4 + x + t*p**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 + 3*g + 2. Let u be a(-4). Suppose -f - 2*f = -u. Solve -f*o = -4 - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7651.4 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {d: 7, g: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 3 (c) 4 (d) 2\/3 (e) 1.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3156 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2660 is divided by 97?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114, -102, -66, 6, 126, 306, 558?\n\"Answer: 2*d**3 - 2*d - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, 66, -148 in increasing order.\nAnswer: -148, -15, -2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -76*i + 278. Let h(f) = -48*f + 279. What is -3*h(u) + 2*z(u)?\nAnswer: -8*u - 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 - 8 = 0. Let a = 36 - 26. Suppose -6 = -g + a. Solve -5*h - 13 = t, 3*h = t + u - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 5*g**2 + 9*g - 7. Let y be b(6). Let i = -17 + y. Let t = -4 - i. Solve 22 = 5*a - 3*j, -t*a = -3*a + j + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 343*y**2 + 77. Let t(o) be the second derivative of 3*o**4\/4 + o**2 - 57*o. Determine 2*k(n) - 77*t(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17194 + -1?\nAnswer: -17195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3249592, -3249579, -3249566, -3249553, -3249540, -3249527?\nAnswer: -3249514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 11.5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 - 97*n**4\/24 - 95*n**3\/3 + 16*n**2 + 25*n. Suppose b(j) = 0. What is j?\nAnswer: -95, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -152*w + 174. Let m(h) = 37. Determine -5*m(d) + q(d).\nAnswer: -152*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + u**2 + 35*u - 9. Determine w(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 20 = -5*g - 29*o, 5*o - 16 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -0.1 (c) 591 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1283 or -24356\/19?\nAnswer: -1283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Let z = 4 - n. Let x be (0 - z)*1 + 3. Let o(b) = -3*b + 6. Calculate o(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1487*z**3 + 748*z**3 + 728*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5035 by -1007.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - (-1 + 0 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 117 - 26*w + 64*w + 2*w**2 - 95. What are the prime factors of x(-22)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47664.1 and 1.2?\nAnswer: 57196.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 46*l**2 + 10*l - 1. Let t be s(-2). Let h be t + -5 - (-10 - -5). Are 165 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 50*b**2 + 77*b - 27. List the prime factors of g(6).\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t - 25*t + 5*t.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x\/(((x**3\/x)\/x)\/x)))**21\/((x*x**2)\/x)**(-1\/24))**(-3\/35) assuming x is positive.\nAnswer: x**(-1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + 6 + 76\/6*6. Let p = d + -70. Suppose 0 = p*s + 6, 3 + 7 = 2*c - 4*s. Solve -4*t = -5*h - 24, t - 4 = h + c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(14\/3)\/(k\/(k\/(k\/(k*k**(3\/4))))))**(-36) assuming k is positive.\nAnswer: k**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*y - 26, 5*y = 4*m - 0 + 8. Suppose 0 = -3*c - 0*c + y*s + 197, -4*c = 2*s - 248. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5070 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 30, 0, -0.5, -374 in decreasing order.\nAnswer: 30, 0, -0.5, -1.7, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11082748 - -301052. What is h rounded to the nearest 100000?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101010110100001 (base 2) in base 14?\nAnswer: 3da81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.176 + -85.824. Let h = w + 54. Let m = h - -31.9911. What is m rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a7 (base 11) to base 12.\nAnswer: 1b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11482602 and 4272?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 2*z**2 + 61*z + 143. What is t(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*j + 3 + 2 = 0, 10 = 5*j. Suppose p*d + 4*q = -25, -2*q = -d - 3*q - 5. Let o = d - -21. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (204\/30)\/(4\/10). Let y = p - 13. Suppose 3*x - 5*l + 30 = 0, -4*x = -9*x + y*l - 37. Let o(i) = -1. Let z(r) = -r - 6. What is x*o(v) + z(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 33*h = -26*h + 11*h. What is the nearest to -7 in -3, -3\/7, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*n + 11*n + 20*n + (2 + 0 - 1)*(-n - 4 + 4))*(23*n - 34 + 34).\nAnswer: 1840*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0327412 and -0.5.\nAnswer: -0.0163706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 6*a - 3 + 16 + 26.\nAnswer: 5*a + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x + 46*x + 208 = 2*c, 200 = 4*x - 2*c. Solve -13*f - 38 = -x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 5 (c) 1 (d) 30 (e) -1 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510 divided by -102.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose q*a - 9 = -x, 0 = -2*x - x - 9. Let -1\/3*k**2 + 1\/3*k**4 + 0*k**a + 0*k + 0 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/408 and -105\/1768?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -688 + 642. List the prime factors of o*(39\/(-6) + (-11 - -6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*a + 3*h, -610 = -6*a - 4*h - 550 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 4. Let k(b) = -1. Let g(w) = j(w) - 4*k(w). Let l(z) = -z**2 - 3*z. Let n(r) = -g(r) - l(r). What is the second derivative of n(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119, -121, -117, -107, -91?\n\"Answer: 3*j**2 - 11*j - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 15*s**2 - 8*s + 13. Give t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*h - 8 = -4*h, h - 23 = -4*n. Suppose -n*k - 117 = -5*y - 6*k, -36 = -2*y - 4*k. What is the smallest common multiple of y and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 109*t**2 + 5*t - 1. Let j(s) = s**2 + 2*s. Let n(b) = 3*a(b) - 3*j(b). What is the units digit of n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26238703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 4)*12\/8. Suppose -j + k*d = 5*d - 386, j - 384 = 3*d. Does 40 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*z + 130. Let k = 145 - 99. Suppose 5*c - k = z. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**2 - 7821*h**2 + 23*h - 10749*h**2.\nAnswer: -18535*h**2 + 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 3 + u**2 + 7 + 17*u. Let s be l(9). Is s\/(-3) + 31470\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 227.9001 and 0.7.\nAnswer: 159.53007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - p + 1. Let b(r) = -r**2 + 5*r + 39. Let x be b(17). Let t = 166 + x. Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 - 7*y**2 - 1. Let q(o) = 5*o**2 - 16. What is q(t(b))?\nAnswer: 5*b**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 10, g: 2}. Give prob of sequence kkkg.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqj when three letters picked without replacement from oqoqmoooj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1353854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (412\/6)\/(36\/54). What is the third derivative of -g*b**4 + 96*b**4 + 8*b**2 - b**2 wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k\/k**(-2\/13))*k*k*k*k)\/(k*k**(1\/4))*k\/k**(-6)*k*k*(k\/k**(2\/21))\/k)\/(k**(-2\/9)*k*(k**2\/k)\/k)**(2\/5) assuming k is positive.\nAnswer: k**(216049\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 3740?\nAnswer: 3742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(12\/32)*12*(-33)\/792.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1798 is divided by 139.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from dkkkerkreerekde?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -0.3, 0.2 in descending order.\nAnswer: 4, 1\/3, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65713122 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from {w: 13, c: 5}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*n, b - 3*n = -4*b - 27. Let j(m) = 7*m**2 + m + 1. Does 10 divide j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 * -275.2\nAnswer: -17337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -59. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.97 + -13.97. What is the fourth biggest value in a, 0.1, -1.1, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187421951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 311. Let k be p(53). Let c = 5 + 3. Solve -s - 2*b + k*b + 1 = 0, s = -4*b - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**4 + 3*z**4 - 33*z + 2*z**2 + 13*z + 10*z + 3 - 3*z**3 + 11*z to j*z + b + o*z**3 + f*z**4 + a*z**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygycaccyccacayyyyyt. What is prob of sequence ag?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2257, 2451, 2775, 3229, 3813, 4527, 5371?\n\"Answer: 65*f**2 - f + 2193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/a)\/a**(-1\/3))\/(a*a\/(a\/((a\/(a\/(a\/(a**(-1)*a))))\/a))*a)**(1\/19) assuming a is positive.\nAnswer: a**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 14 = 3*j + 2, -2*j = -5*g - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u. Let y be 36\/(-10) - (-8)\/(-20). Let k(z) = z**2 + z + 3. Let q be k(y). Let h(a) = -7 - 2*a**2 - 8 + q. What is h(t(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854258 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 53?\nAnswer: 8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(-5))\/z)\/(z\/z**(-1)))**(-40)\/((z*z**0*z*z)**1)**(2\/53) assuming z is positive.\nAnswer: z**(12714\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 45) + 7 + 8 - 2 - (8 - 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/600 and -111\/760.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8)**(-18)\/(j**(-2\/3)\/j**(3\/8)) assuming j is positive.\nAnswer: j**(-3431\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*a - 0*s - 22, 0 = -5*a - 3*s + 30. Factor -9*i**4 - 4*i**2 + 6*i**2 + 8*i**4 + i**a.\nAnswer: -i**2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*v**2 + 107*v**2 - 53*v**2 - 15*v + 15*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*s = 2 - 52, -5*g + 125 = -5*s. Let a be ((-45)\/g - -3)*12\/(-3). Sort 4, a, -9 in ascending order.\nAnswer: -9, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-23352.904.\nAnswer: -11676.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (47626\/6 - -2)\/((1708\/6132)\/61) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11768, -47776, -107804, -191864, -299968, -432128, -588356, -768664?\nAnswer: -973064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b96a (base 13) to base 9.\nAnswer: -38320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 613816 (base 9) to base 15\nAnswer: 72b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2. Let i be -4 - ((-2299)\/(-330) - 11). Let q(m) be the third derivative of 0 + 0*m - i*m**5 + 0*m**4 + 10*m**2 + 0*m**3. Determine z(q(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1350 divided by 135\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/6 - w**2\/6 + 9. Factor q(z).\nAnswer: -z*(3*z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31092 - -31080.5068. Let o = q + -0.1938. Let t = o + -0.113. What is t rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-17) - (-108)\/(-1836). Which is the third smallest value? (a) -3 (b) h (c) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.194 * 175048\nAnswer: -33959.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 37 = 2*c. Let v = c - 24. Suppose 2*l - 114 = -4*w, -2*l - v*w + 170 - 52 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/(((-8)\/44)\/(20\/110))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 48880826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122225.4l in millilitres?\nAnswer: 122225400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 10*c + 26. Let m be p(-3). Let b be 0\/(-9 - (-3 - m)). Solve b = -3*v + 5*l + 2, -1 = l - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + b = -10, -b = -3*o + 7. Suppose j - 708 = -o*j. Does 59 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2738808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w - 15. Let x(b) = 2*b + 1. Let p(d) = -m(d) - 4*x(d). Determine p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 2c1c6d?\nAnswer: 2c1c6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393185 is divided by 480.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = -2*w + 46, 3*a + 18 = 3*w. What is the highest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 - -129.7. What is the nearest to 0 in 2, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 4, -5, -2, 73 in ascending order.\nAnswer: -16, -5, -4, -2, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:20 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - 7\/(-28). Suppose u = 4*x + 3*d + 1, -4*d - 25 = -5*x + d. Solve x*c = -2*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -246*z + 2713. What are the prime factors of m(-72)?\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1207760249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u**2 + 2*u - 10. What is t(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 107\/5. Let w = 0.3 - 0.5. Let t = -722\/15 + 48. What is the closest to j in t, w, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.9364 + 33.076. Let q = 42 - l. Round q to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d + 6. Let f be (-1)\/(-9)*6\/(-4). Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, r: 2, q: 1}. What is prob of sequence rk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awdwdaawdwaaadw. What is prob of picking 1 a and 2 w?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19)*-3)**2 + (2*sqrt(304))**2 + sqrt(19).\nAnswer: sqrt(19) + 1387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*v - 15 = 0, 4*q + 2*v + v + 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*1*-2. Let w = 5 + -7. Let l be -1 - ((0 - -2) + w). Sort p, 5, l in increasing order.\nAnswer: l, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/70)\/((-1)\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 4462518?\nAnswer: 4462512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/2 (c) -76600\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:29 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-25)\/55*-4)\/((-6)\/(-33)) and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*j**5 - 43659*j**3 - 684*j**2 - 2*j + 326 wrt j.\nAnswer: -1560*j**2 - 261954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**2\/2 + 4. Let x(v) = 2*v. Give x(d(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(19 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 8545.\nAnswer: -4272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -117*k - 13. Let p be (15\/30)\/((-15)\/(-18) - 1). What is the tens digit of h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4527?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 7*z**2 - 6*z - 65. Let p(c) = c**3 - 7*c**2 - 7*c - 65. Let j(w) = -4*p(w) + 5*s(w). Find the second derivative of j(v) wrt v.\nAnswer: 66*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/(g*g**(-3)))\/(g\/(g\/((g*g**(2\/11))\/g)*g)*g**(-1)) assuming g is positive.\nAnswer: g**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1745, 1744, 1743, 1742, 1741?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 9*o + 12. Let m be q(10). Suppose -3*g + n + 323 = 0, -2*g + 97 = m*n - 129. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 - 11*w**2 - 27 + w + 0*w**2 + w**2 as q*w + f + h*w**2 and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -15*q + 4, -4*q = -3*k + 31. Solve -k*x + 13 = o, o - 5*x + 22 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 3. Let b be d(9). Let v be (-207)\/(-2)*b\/(-9). Suppose -5*c + 3*y = -v, 34 = 3*c + 3*y + 7. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(16)\/sqrt(2) - sqrt(8)) + 0 + sqrt(162)))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*v - 602, 2*i - 2*v + 315 = 3*i. Suppose -3*j = -2*x + 157, -4*x = 3*j - 2*j - i. What are the prime factors of x?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 5*g**2 + 0 + 0*g**4 + 0*g - 1\/2*g**3 - 1\/60*g**6 + 0*g**5. Differentiate q(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12387938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-1 - (7 + -9). Let u = 9 + -6. Suppose k = u*j - j - 18. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25\/384 + -4111\/2688. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2 - (2 - 44277\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 155\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*s + 56, 0 = 2*s + 5 + 1. Let g = -55 + 58. Suppose -3*f = -6, g*o - 3*f - 3 = -0*o. Calculate the remainder when t is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 3 + -1 + -6 - (5 - 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/5 + 407*j**4\/5 - 414*j**3 - 820*j**2 + 8264*j\/5 + 9888\/5 = 0?\nAnswer: -412, -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3992242 + 3992242 + 6650*a in the form d*a + o and give d.\nAnswer: 6650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4110*s**6 + 139*s**2 - s - 23?\nAnswer: 493200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4039240 - -4039239.7699877. Let h = z - -0.23. Round h to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285 - -285. Suppose 4*v = -4*w + 9012, u*v + 4*w - 6755 = -3*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4 - 14712*m**3 - 78415*m**2.\nAnswer: -48*m - 88272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofdiiua. Give prob of picking 1 f and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-15)\/(-12))\/((-2)\/(-416))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 223 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*c - 5*c, -944*g + 2*c = -943*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-6)\/(-20)*10\/12. What is the third smallest value in r, 6, 0.7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226431496 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36a + 4?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8370465*s**4 - 9011821*s**2.\nAnswer: 200891160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, i: 1}. Give prob of sequence mm.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2374 + 856*p + 491*p + 1946 - 687 wrt p?\nAnswer: 1347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -7*a + 2*a. Let s = 36 + a. Find the third derivative of -18*k**3 + 2*k**2 + 42*k**s - 24*k**3 + 14*k**5 wrt k.\nAnswer: 840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (24 + -3 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 1, u: 2, s: 1, t: 1}. What is prob of sequence ot?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 34*d**2 + 0*d + d + 44*d**2 + 56*d**2 in the form h*d + v*d**2 + l and give v.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*f = 40, -18*v + 4*f = -19*v - 10 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -13461.\nAnswer: -13461.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -41. Calculate the remainder when 25 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 159*r**2 + 25*r + 28. Let z(h) = 80*h**2 + 11*h + 13. What is -4*u(b) + 9*z(b)?\nAnswer: 84*b**2 - b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*k + 10 + 30 = 0, -3*k = -6. Suppose 6*u - 20 = -4*u. Calculate the smallest common multiple of j and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:25 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2475, 9920, 22329, 39702, 62039, 89340?\n\"Answer: 2482*a**2 - a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.469 - -3.121. Let h = 0.41 + g. Sort -0.2, -0.3, h.\nAnswer: -0.3, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/7 + 13622*c - 24939764\/7 = 0. What is c?\nAnswer: 263, 47414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76))\/sqrt(4) + -5*(sqrt(171) + sqrt(19)).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6441033, 12882061, 19323069, 25764051, 32205001, 38645913, 45086781?\n\"Answer: -i**3 - 4*i**2 + 6441047*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 1 k when three letters picked without replacement from {o: 2, k: 1, c: 1, n: 3, e: 7}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 72, 159, 280?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 549310\nAnswer: -4394480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-2)\/sqrt(8)*2 + (-1*sqrt(119))\/sqrt(7) + 2.\nAnswer: -5*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(31\/(-186))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*w = 19 + 13, -5*w = -g + 16. Is g != 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + -97. Let w = 557 + -368. Suppose 11*k - 4*k = w. Calculate the lowest common multiple of f and k.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = 14*z - 30*z - 22516. Calculate the remainder when z is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5398251 + -3313717. Let c = 3060534 - o. What is c rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a meter in centimeters?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 24, 76, -3 in decreasing order.\nAnswer: 76, 24, 1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29.686 + 30.186. What is the fourth biggest value in 4, c, 52\/121, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/35 + (9 - 20\/4). Let s = -2\/7 + q. What is the nearest to -1\/4 in s, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13448, 26901, 40350, 53795, 67236?\nAnswer: 80673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/130)\/((-1263)\/32838).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**4 - t**3 - 5*t**2 - 15*t - 2. Let d(r) = r**4 - r**3 + r**2 + 1. Let l(k) = -4*d(k) + n(k). Suppose l(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 173, -1502, -3\/4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20573 + 2*y**2 + 31*y + 20573 to n*y + j*y**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75915*u**4 - 1379*u**3 - 282140569*u?\nAnswer: 910980*u**2 - 8274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 370.229, 0.2, 3\/7, 0.5, -4?\nAnswer: 370.229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 + 6*v**2 - 8*v. Let k = -224 + 227. Let h(q) = -q + 5*q**2 + k*q**3 + 5*q**3 - 6*q - 11*q**3. Give -7*h(x) + 6*n(x).\nAnswer: -3*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155395 is divided by 925.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.3277 micrograms to nanograms.\nAnswer: 239327.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 9 - 9 + c to the form x*c + q and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 + 9*o. Let l be d(-5). Let s = l + 17. Suppose -2*m + 36 = -s. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 - 271*n**2\/4 - 15361*n\/4 + 15631\/4.\nAnswer: (n - 319)*(n - 1)*(n + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -t - 2, -2 = -2*f - 0*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -20.78. Let x = -0.08 - y. Let u = -9842 - -88576\/9. What is the closest to -1 in u, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14439132 - 3?\nAnswer: 1443912a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -y - 3*y + 5*u, -3*u = 3*y - 285. Let r = y - 43. Let q = r - 27. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {w: 2, s: 1, r: 3, i: 1, a: 1, l: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(66)\/(-1*sqrt(6)) - (1*sqrt(11)*-1 - sqrt(11) - sqrt(11)))**2 + 3 + (sqrt(33)\/sqrt(3)*-1)**2 + -1 + -5).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408689\/577863 + 1\/5837. Calculate the common denominator of y and 85\/12.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 47.64071?\nAnswer: -4.764071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-8\/3)*l*l)\/l**(-3\/13))\/(l**24*l**(-34)\/l))**3 assuming l is positive.\nAnswer: l**(451\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:22 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:48 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**3\/6 - 3*q**2\/8 - q\/4 - 4. Factor k(h).\nAnswer: -(h + 1)*(2*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 q when four letters picked without replacement from {q: 5, s: 2, c: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, 5, 29 in descending order.\nAnswer: 29, 5, 3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p - 29\/60*p**5 + 1\/12*p**4 + 5*p**2 + 0*p**3 - 12. Let l(n) = 3*n. Calculate l(x(s)).\nAnswer: -87*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let v(x) = 3*x - 28. Give o(v(m)).\nAnswer: -9*m**2 + 168*m - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 25 + (1 - (-15 + 67)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j)\/j)**(-26) assuming j is positive.\nAnswer: j**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 254\nAnswer: 1\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5479665 and 2406.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 1:54 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5704 + -5705. Let u be 0 + (2\/(-3))\/(-1). Let f = -177\/2 + 87. Which is the fourth biggest value? (a) -0.5 (b) z (c) f (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.333075 and 10.\nAnswer: 2.666925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*d + 40, -5*v - 64 = -2*d - 39. Suppose 3*h = -0*h - 5*x + 145, 4*h - 155 = x. Solve 5*r - h = d*w, -2*r + 4*w + 26 = -0*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 8*b**2 - 2*b + 36. Let j be z(7). Suppose 17*d - 405 = j. Calculate the remainder when 83 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2. Let f(r) = -17*r - 12 - r - r - 10*r + 2*r. Let s(n) = -6641*n - 2958. Let p(i) = -1479*f(i) + 6*s(i). Give y(p(h)).\nAnswer: 30276*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*-1*-4 - (sqrt(176)*2 + 4)**2.\nAnswer: -716 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001762261525 to 6 dps.\nAnswer: 0.001762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 26*q + 5*q**3 - 57*q to h*q + j*q**2 + n + a*q**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**3 - m**2 + 23*m + 77. Is x(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1628 and (52725\/20)\/15 - 7\/(-28).\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/15 + 8*t**5\/35 + 11*t**4\/42 + 2*t**3\/21 + 7*t. Suppose h(x) = 0. Calculate x.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 0 + 9 + -39 - -9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/210584 (b) -2\/7 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*i - 11 = 0, -12 = -n - 4*i - 0. Solve 0 = 11*y + 36 + n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/(-200))\/(2 - (2 + -1)). Which is the closest to 2.7? (a) 2\/5 (b) h (c) 0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 42 + 32 - 2*f**2 - 65 - 3*f**2.\nAnswer: -5*f**2 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.268764 microseconds in hours?\nAnswer: 0.00000000090799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, a: 3, h: 3}. What is prob of sequence sh?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -184821 divided by 26403?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88.475 - -2.475. Is -5 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 203?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 76. Suppose -3*x = -q + 16, -11*x = 3*q - 7*x + 17. Solve q + a = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 + -97. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75170491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4094926 and 79\/1675197?\nAnswer: 36854334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.064 in -25, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3456636 and -545.\nAnswer: 3456091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2*o**3\/3 + 9. Let h(a) be the third derivative of -5*a**4\/24 - a**2 - 40*a. Give u(h(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2 (c) -41\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69004990*s - 32777774 wrt s.\nAnswer: -69004990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(19) + 4 - 3*3*sqrt(19)) + -4.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-28)\/(-8))\/(6\/(-8)). Let s(t) = -17*t - 1 + 2*t**3 + t**2 - 8*t**l + 16*t. Is 4 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1396, -2797, -4198, -5599?\nAnswer: -7000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-1)\/6). Put 5, -13, q in ascending order.\nAnswer: -13, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 12*f**2 - 28*f. Let v be k(-14). Sort 4, v, -393 in decreasing order.\nAnswer: 4, v, -393","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-6))\/((-12)\/(-432))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - 5*k**2 - 7*k**2 + 110*k**2 in the form j*k**2 + t + w*k and give j.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/5 - -81\/10. Let w = -2 + 0. Let i = w - -4. Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r**2 - 40*r - 13. Let c(x) = -x**3 - 4*x**2 - 3*x + 3. Calculate the remainder when u(-3) is divided by c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**7\/2520 + i**5\/120 + i**4\/12 + 3*i**2. Let j(o) be the second derivative of k(o). What is the units digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:16 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**2 + 1\/10*w**6 + 0 + 1\/6*w**3 + 0*w**5 + 0*w**4 + 2*w. What is the second derivative of s(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -49. Suppose -w*c = -48 + 50. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 45*t**2 + 16*t - 138. What is s(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + (3*sqrt(2448) + 2)**2 - -5*(sqrt(17) + ((sqrt(51)\/sqrt(3))**2 + 0 - sqrt(17))).\nAnswer: 156*sqrt(17) + 22121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 245720.017 rounded to the nearest one hundred?\nAnswer: 245700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 5:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 1. Suppose 0 = -s - 5*q - 9, 4*s - 10 - 20 = 2*q. Let t(c) = -11*c**3 + 7*c**3 - 4 + 3*c**3 + 5*c - s*c**2 + c**2. Let u be t(-6). Give m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 21. Let q(p) be the first derivative of -p + 3571. Give 3*q(l) - r(l).\nAnswer: l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -53026268 at most as big as -53026268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*t + 13, -5*t - 7 = 4*r - 3*r. Let s(g) = -1 - g - g**2 - 3*g + 12 + r*g**2. Let y(l) = -l**2 + 2*l - 5. Calculate 4*s(x) + 9*y(x).\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + l = -122 - 400, -2*p + 225 = 5*l. Suppose -2*a = -4*c + 92, 5*c - 4*a - p = a. Let m = c + -3. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8\/5, -4, -0.3, -1, 1\/7, 1, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16399000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3800.686341 rounded to one dp?\nAnswer: -3800.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -50. Suppose i = 18*q - 20*q + 6. Suppose 5*s + 57 = q*r, 2*r + 5*s = -r + 57. Calculate the greatest common factor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 810*o**2 - 3175*o - 2370.\nAnswer: -5*(o + 1)*(o + 3)*(o + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -7, -0.051?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -20420412?\nAnswer: 20420413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 337285 + -1767?\nAnswer: 335417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2 + 6*s + 300. Determine r(0).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63.14441 - 0.06641. Let c = o - 63. What is c rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -13*i**3\/6 + 3*i - 6. Let q(t) = 22*t**2 - 1. Calculate q(g(h)).\nAnswer: 3718*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**4\/3 + 302*c**3\/3 - 3092*c**2\/3 + 1464*c + 432 = 0. Calculate c.\nAnswer: -1\/4, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -252, -250, -248, -246, -244, -242?\n\"Answer: 2*g - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.15761 rounded to 2 dps?\nAnswer: 66.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = 2*z + 37. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:22 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 34 = 32*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b*b**15))\/b*b)\/b*b**20*b*b**(2\/15)\/((b\/(b\/b**(-7\/5)*b))\/b))**(-44) assuming b is positive.\nAnswer: b**(-6292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3770*a**2 - 2*a - 1. Let k be j(-1). Let u = 34010\/9 - k. What is the common denominator of 11*3\/(-4) + 0 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -52, -48, -44, -40, -36?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13017*l + 72766*l - 24486*l + 58975*l.\nAnswer: 94238*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 531*p**3 + 1050*p**2.\nAnswer: 3*p**2*(p - 175)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 56*g - 61*g = -1 - 6, -87*c - 3*g - 6 = -83*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b1 (base 13) to base 15.\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 26. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3789014152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180571\/9 + 20067. What is n in 8\/9*n - 4\/9*n**2 + a = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1497b?\nAnswer: 14976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+10610098\nAnswer: 10610097.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -203. Let c = w + 44. Let a = c - -45. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 83*i - 89*i - 80, 0 = -2*n - n + 4*i + 58 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-15))\/(8\/1900). Let m = h - 948\/5. What is the nearest to 0 in -0.2, 4\/3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.135*6130.\nAnswer: -827.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 minus -1296410?\nAnswer: 1296383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*f + 79, 3*f + 0*f - 47 = 2*m. Suppose -2*a = -3 - f. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + g - 5*g - 2550, 0 = -3*g. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)\/(68\/136). Sort h, 0, -21.\nAnswer: -21, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8250)*-15)\/(1\/5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + ((-9)\/18)\/((-2)\/6232)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 0.2, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:21 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 6*z**2 + 17*z - 19. Let b be y(7). Let a = b - -306. What is the highest common divisor of a and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.724, -104?\nAnswer: 0.724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = 1, -3*k + 3*t + 72 = 0. Suppose -2*f + 96 = 2*c, 0 = c + 4*c - k. What is the greatest common factor of 44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + v + 2. What are the prime factors of m(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230932.\nAnswer: 2, 13, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*2043\/1135?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 25875\nAnswer: 8\/5175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*c = -18719, 4*d + c - 46790 = -9337. List the prime factors of d.\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 576 + 113. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10170)\/81 + 279 + -153.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscaa. Give prob of sequence aa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-27)\/36 - ((-19)\/4 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -124. Let w = -71.4 - t. Which is the biggest value? (a) -3\/4 (b) w (c) 0.4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 30*l + 119. Is j(-26) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369770021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 19. Calculate the remainder when p is divided by (-6)\/33 + 400\/22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y, 0 = -2*s + 3*y - 14. Which is smaller: -34\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 224 = -2*x. Let h = 42 + x. Calculate the remainder when h is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13*y - 16*y + 9*y + 2*y**2 + 0*y**3 + 2*y**3. Let j(x) = -2*x**3 - 2*x**2 - 7*x. What is -7*i(o) - 6*j(o)?\nAnswer: -2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 265 - -37b0a3?\nAnswer: 37b348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-50))\/2*(32 - 17). Factor 6\/5 - l*n**2 - 3\/5*n + 3\/5*n**3.\nAnswer: 3*(n - 2)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6125 and 490.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + 24. Let v = 19\/3 + k. What is the second biggest value in v, 0, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 29 + (-1 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = 6*f + 6*f + 546. Let o(g) = g**2 + 16*g + 7. Give o(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 49*k**2 - 22*k - 82. Let w be l(-6). Suppose -w = -11*j + 1332. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 7*10\/(-105)*-6*7219\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208 = 12*d + 272. Suppose -13*c + d = 13*c. Solve -x - 11 = c*z + x, 4*z = x - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 9 + 5*h**2)*(0 + 0 + 2*h)*(0*h + 4*h - 5*h).\nAnswer: -10*h**4 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*l - 22*l - 738 + 87 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70, -153, -248, -361, -498?\n\"Answer: -d**3 - 76*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 528?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/40)\/(26\/65). Which is the closest to 0.1? (a) 3 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38304 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-21)\/(-2079)*88)\/((-4)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -145. Is g bigger than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -7*k**5\/60 - 29*k**4\/12 - 13*k**3\/6 + 11*k**2. Let b(d) be the first derivative of h(d). Is 18 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by 2196.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and -173\/476400.\nAnswer: 3334800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1752107.8581 and 0.2.\nAnswer: -1752107.6581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155305, 155240, 155069, 154738, 154193, 153380, 152245?\n\"Answer: -9*v**3 + v**2 - 5*v + 155318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 982*w. Let f(v) = 23*v**2. Determine f(z(m)).\nAnswer: 22179452*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000684964 to 6 dps.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**5*o)\/((o**(-2\/17)\/o)\/o))\/(o**(-1\/7)\/(o*((o*o**(-4)\/o)\/o)\/o)))\/(o**(-2\/17)*o*o**(2\/15))**(-9) assuming o is positive.\nAnswer: o**(8569\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 1. Suppose v = -0*q + q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-22))\/(-10)*4170\/1251?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let d(a) = -359*a**2. What is j(d(g))?\nAnswer: 718*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*x**2 + 255*x - 44366 with respect to x.\nAnswer: 262*x + 255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -25*m + 15*m. Suppose -6 = m*v + 4, 153 = p + 3*v. What are the prime factors of p?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - o**3 + (-1 - o**2 + 1)*(2*o + 2*o - 2*o) + 5*o**3 + o**3 - 3*o**3 + 2*o**3 + 5*o**2 - 5*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -12 (c) 24050 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.5. Let y = 0.5 + m. Let w = 200\/7 - 28. Sort w, -3, y in ascending order.\nAnswer: -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11403 + -4?\nAnswer: 11344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72) - (sqrt(72) - (sqrt(72) + -2*sqrt(72)) - sqrt(72) - sqrt(72) - sqrt(72)))*2)\/(sqrt(100) + sqrt(100) + 3*2*sqrt(100) + sqrt(100)).\nAnswer: 16*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfxslk. Give prob of picking 2 x and 1 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/11, -2\/21 in increasing order.\nAnswer: -4, -2\/21, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.27 - 1.8. Which is smaller: g or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639526.\nAnswer: 2, 319763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-16))\/(1\/88). Let s = w + -30. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112 - -200220121102012?\nAnswer: 200220121112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12328237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 - -0.05. Suppose -669*m = -680*m + 33. Sort -0.5, m, s in ascending order.\nAnswer: -0.5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 a when four letters picked without replacement from {u: 2, p: 1, h: 3, a: 6, f: 2}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.8 and 0.596.\nAnswer: 8.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27247 = -3746*j + 180833 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/30*(-4)\/2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v\/v**(-5)*(v*v**(-7)*v)\/(v\/(v\/(v**2\/v)*v)))\/(v**4*(v*v**8*v)\/v)**10 assuming v is positive.\nAnswer: v**(-517\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -121 + 135 + -3 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1. Let n = -54 - -54.3. What is the nearest to 0 in 0.06, t, n?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 17 = 13. Let h be 3*((-26)\/6 - -4) + -103. Let w be h\/14 + x\/(-70). Which is smaller: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a**5 + 9360 - 248*a**4 - 22440*a**3 + 49320*a**2 + 820*a**4 - 42160*a + 3033*a**4 = 0. Calculate a.\nAnswer: 1\/3, 2, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*b**6 + 26*b**5 - 2*b**2 - 733*b - 1.\nAnswer: -2640*b**3 + 1560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*v - 0. Let a be (-5)\/(-3) + (-1)\/(-3). Let o(k) = k**a + k**2 + 0*k**2 - k**2. Let r(z) = z**2. Give v*o(u) - 3*r(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123521 - -5?\nAnswer: -123512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/5 and 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19376, 19347, 19302, 19235, 19140, 19011, 18842, 18627?\nAnswer: 18360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.197 and 2.6244?\nAnswer: 2.8214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {h: 2, b: 2, w: 11, f: 4}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:04 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 185*d - 905. Let k(b) be the first derivative of 78\/5*b**5 - 15\/2*b**6 - 6*b + 39\/2*b**2 + 16 - 24*b**3 + 3\/2*b**d. Determine t so that k(t) = 0.\nAnswer: -1, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356 + 2516 = -352*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20151926 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-5))\/(4\/(-6)). Suppose 2 - 11 = -v*m. Suppose -m*u = -7*u + 204. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 13. Let p(y) = y + 6. Let v(l) = -6*b(l) + 10*p(l). Let n be v(5). Suppose n*u - 1 = s - 7, -5*s + 2*u = -70. Which is bigger: 15 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2643661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a6 - 9b72?\nAnswer: -9c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -22. Suppose -o = 5*i + 2*o + 12, -4*o = 16. Let u(m) = -m**2 - m + 3. Let k be u(i). Which is the third biggest value? (a) -1 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*8\/(172 + 36)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effnrfrcffbfeeeffeee. Give prob of picking 2 e.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99131339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h**2. Let i(j) be the first derivative of -2*j**2 - 5*j - 1356. Determine q(i(o)).\nAnswer: 240*o**2 + 600*o + 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 17*g + 54. Give i(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420) + sqrt(2420)*-2 - sqrt(2420) - sqrt(20))*1)\/(4*sqrt(160) - 3*1*sqrt(10)).\nAnswer: -23*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let r = -1 - l. Let z(f) = f**3 - 6*f**2 + 10*f - 12. Let q be z(3). Which is the second biggest value? (a) r (b) 1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19913389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:29 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-15)*(-4 - (-210)\/40). Let -2*w + 0 - l*w**4 - 3\/2*w**3 - 3*w**2 = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*m + 2370, -4*v + 0*m - 1874 = 2*m. Let o = -59 - v. List the prime factors of o.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {b: 1, k: 1, t: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*s = -s - 18, -5*s - 17 = m. Suppose 0 = -m*q - 2*q. Suppose q = 2*r + 37 - 347. What are the prime factors of r?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4498420 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11*b*b)\/b*b*b**(-13\/3) assuming b is positive.\nAnswer: b**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 41 - 40 + 7)*(-195*m - 130*m + 91*m)*(1 + 0 + 1)*(-1 + 0 - 1) in the form h*m + j and give h.\nAnswer: -58968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*n = -4, 2*r + 593*n = 589*n + 18. Let t = -0.23 + -1.77. What is the biggest value in t, 1.2, 0.2, r?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33852 and 93072?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 3*y - 4*y**3 - 6*y**2 + 16*y**2 - 10. Let n(k) = -k**3 + 3*k**2 - 3*k - 3. Let t(r) = -r - 1. Let o be t(2). Give o*g(c) + 10*n(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/225*(2\/2)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*p - 15 = 0, -3*w = -2*w + p + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-247)\/26)*0 - 19\/((-114)\/(-690))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3 - 5*s - 6*s**2 + 2 - 3 - 2*s**3. Is c(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.37 (c) -1\/2 (d) 2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*j - 9*j - 7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16*k + 25. Let s(q) = -q**3 + 11*q**2 + 12*q + 3. Let t be s(12). Suppose -5*a + 80 = t*a. Is n(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 194 = -30*v, -4*v + 1733 - 1731 = 2*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3645 = -6*p + 10857. Let a be (p*((-2)\/(-4) + -2))\/(-1). Suppose h - a = -214. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (0 - (1 + 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (650\/30 + -20)\/((-15)\/(-108)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/6 + 10\/2. Suppose w = -0*a + a. Let r(o) = o**2 + 4*o - 5. Let j be r(-5). Solve -h + 0*h + 2*f - 13 = j, 23 = -h + a*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-20)\/(-8) - (-195)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 18*x**2 - 78*x - 2. Let q be l(-4). List the prime factors of 1421 - ((-20)\/q - (-32)\/17).\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 10\/2 + -4 + 3940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -929532.\nAnswer: -5\/929532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 663 + -474. What is the greatest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 4*y - 2. Let c be o(4). What are the prime factors of 20\/15 - c\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let g = -621 + 610. Does 19 divide (g - d)\/((-10)\/85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 - 17*x - 6. Let o(w) = -4*w**2 - 11*w - 4. Let p(g) = -8*o(g) + 5*y(g). Let d be p(-2). Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22088014*j*u**3 - j - 2696*u**3 - 38*u**2 + 4*u - 9 wrt j?\nAnswer: 22088014*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 9279\/541?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(219*u - 219*u + 87*u**4) - 2 - 2*u**4 - 3*u**4 + 4 to the form p*u**2 + z*u**3 + t*u**4 + n + b*u and give t.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 27*n**2 + 295*n + 8275. Determine v(-18).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -710708118 - 1?\nAnswer: -710708119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/((-1110)\/277 + 4). What is j rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 2*u**2 + u**2 + 15 - 11.\nAnswer: 3*u**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 - 3177*b - 9524. Determine h(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 4, 134, 0, -28?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/270796 or 0?\nAnswer: 1\/270796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -20 + ((-2)\/(-114))\/(163\/17115)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13176 and 794609424.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/6*(18\/12)\/1. Let s be ((-5)\/((-35)\/u))\/((-4)\/(-14)). Suppose 5 = 5*j + 5*w, -4*j + 5*w = j - 45. Put s, -1, j in decreasing order.\nAnswer: j, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-966*r**2 - 243*r**2 - 74*r**2)*(7*r**3 - 2*r**3 + 8*r**3).\nAnswer: -16679*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86391*b**3*n**4 - 2*b**3*n - 2*b**3 + 171*b**2*n + 5*b*n**4 + 14*b*n wrt n?\nAnswer: -1036692*b**3*n**2 + 60*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**5 - 6*f**4*x + 2*f**3*x**3 - 2*f**2*x**2 - 10*x**3 - 2*x wrt f.\nAnswer: 300*f**2 - 144*f*x + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k = -20. Suppose -2*m = -5*d - 71, m + d + 2*d = 19. Calculate the highest common factor of m and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, -0.0047, 6, -5\/4 in increasing order.\nAnswer: -2, -5\/4, -0.0047, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 30755, -0.5, -51 in descending order.\nAnswer: 30755, -0.5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 35. Let v be ((-3)\/12)\/(7\/c). Put 0, 5, 11, v in decreasing order.\nAnswer: 11, 5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 4*p - p - 3 - 1 - 2*p + 5 + (-4 + 2 + 0)*(4*p + 6*p - p) + 0*p + 0*p - 2*p - 2*p - p + 2*p.\nAnswer: -24*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - 21*t - 1. Let q be z(4). Let a(b) = 77*b**2 + 56. Let v(o) = 7*o**2 + 5. Calculate q*a(c) + 56*v(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 17}. Give prob of sequence qgq.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*j + 7, -1 = -2*h - j. Let p(b) = -b**3 - 7*b**2 - 7*b - 2. Let u be p(-6). Put u, h, 2\/17 in decreasing order.\nAnswer: u, 2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -862815 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34171, 136686, 307549, 546766, 854343, 1230286, 1674601?\n\"Answer: b**3 + 34168*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**4 - 2*v**2)*(8 + 8 + 29).\nAnswer: 90*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0250925731 to four dps.\nAnswer: 0.0251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2312 - 2?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90173338 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -12116*c + 40. Let f be h(-4). Suppose 2*t = 4*m - 0*m + f, 0 = t - 4*m - 24256. Is 30\/(-50) - t\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -70. Suppose 26 = m - 0*m + 2*r, 22 = m - 2*r. Calculate the common denominator of f\/m*(54 + -2) and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6367 - -36?\nAnswer: 639d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79576.32 millennia in years?\nAnswer: 79576320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -19\/4*m**4 + 0*m**2 - 71\/10*m**6 - 2*m**7 + 0 - 9*m**5 + m - m**3. Find b, given that n(b) = 0.\nAnswer: -1, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 36*z**2 - 4070*z + 30. Determine x(-37).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v + 10*v)*(-6*v**3 - 10*v**3 + 5*v**3) + (3*v**2 + 4 - 4)*(-2 + 3*v**2 + 2).\nAnswer: -134*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 8. Let l be h(8). Suppose m + 24 = -4*r, l = -2*r - 0*r - 2*m - 18. Is 529 + (2 - (-3 - r)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllslll. What is prob of picking 3 l?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -872 + 878. Calculate the greatest common divisor of i and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -2*c = -6, 4*x + z*c - 78 = -12. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42313 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 20*b - 24. Let q be k(16). What is the units digit of 1 + 18\/(-15) - (-13608)\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 2, h: 2, o: 1, b: 1}. Give prob of picking 2 a, 1 s, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - u)*(-5 + 5 + 3)*(0 + 3 - 4).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 7, f: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 41*r - 43. Let y(v) = -28*v + 28. Determine -5*u(a) - 8*y(a).\nAnswer: 19*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Let a = 2 - 1.9. Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*a - 6 - 1695 - 1445 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2357625378 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*p + 475. Let d be (-58)\/(-319) - (1 + p\/22). Find h such that -3\/2*h + 3\/2*h**d + 3\/2 - 3\/2*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15748574 is divided by 194.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -475\nAnswer: 2\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) 44 (c) 0.3 (d) 8\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = -p, 4*n - 4 = -5*p - 5. Is n <= -1\/273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**8\/1176 - d**7\/245 + d**6\/420 + d**5\/70 - 3791*d**2 + 2*d. Find m, given that l(m) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/217 and -47\/539648.\nAnswer: 3777536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -10b322?\nAnswer: 10b328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.091 - -0.043. Let c = 81.9438947 - 81.9919. Let z = c - r. Round z to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**23)*z)\/z**(2\/7))\/((z*(z\/z**(2\/7))\/z)\/z**(-2)) assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-12) + 4\/((-32)\/(-468)) is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 0)*(2*b**4 - b**4 + 0*b**4) + 4 - 4 + b**4.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 657\/21 - (-2)\/(-7). Suppose -25*c = -h*c + 84. Suppose -201 = -z - 2*z. Calculate the remainder when z is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 40504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 3*v**4 + 5*v**4 - 3*v**3 + 3*v**3 - v**4 + (-3*v + 2*v - v)*(-1 + 1 - v**3) + 0*v**4 + 6*v**4 - 4*v**4 + 1 + v**4 - 1.\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -4\/7, -106\/5, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssbsbsbjjbs. What is prob of sequence sjb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104717770409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32*1550\nAnswer: -49600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.254\nAnswer: 1.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.0627 micrometers to nanometers.\nAnswer: 869062.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 8 - 3 + 13 + 3*j**2. Calculate the least common multiple of z(-2) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y**3 + 94*y**3 - 45*y**3 + 2 - 33*y**3.\nAnswer: -46*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*j*q*w**2 - 18*j*q*w + 2*j*q - 4*j*w**2 + 2*q*w wrt w.\nAnswer: 380*j*q - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18216)\/1056 + (-38)\/(-2).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5885, -9078, -12319, -15632, -19041, -22570, -26243?\n\"Answer: -4*q**3 - 3165*q - 2716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164430671291 + 6*a**2 - 164430671291.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.6. Let o = 14102.9 - 14103. What is the smallest value in w, -1\/2, -3\/2, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2304112578 to the nearest integer?\nAnswer: 48001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*p - 10 = -4*p, 4*h + 2*p = 14. Suppose h*g + 6 = -4*w + 17, 0 = 2*w - g - 3. Suppose 3 + w = v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -108*p**2. Let f(s) = 17*s. Give g(f(v)).\nAnswer: -31212*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9406 + 59?\nAnswer: -9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1 - 2*r + r - 2*r + 2*r. Let t be d(-2). Let q(l) = -2*l - t*l + 5*l - 2*l. Let u(x) = 2*x**2. Give q(u(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(5) + -5 - sqrt(5) - sqrt(5)).\nAnswer: -3 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (0 + -2) - -3. Suppose -44 = -6*t + q*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1) + (-150)\/15. Let f be (1 - (-15)\/o)\/(-1). What is the fourth biggest value in f, -5, 4, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, 1194328, 1 in descending order.\nAnswer: 1194328, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-5*(-5)\/50*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-7.551.\nAnswer: 75.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346102014034 plus 5?\nAnswer: 4346102014039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**8\/1176 + b**7\/735 + b**6\/140 - b**5\/42 + b**4\/42 + b**2 + 120. Determine d so that m(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - -1357. Suppose 10 = 2*y, 2*m + y - r = 6*y. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211440224413 + -3?\nAnswer: -211440224421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**4 + 1959*j**3 + 1937*j**2 - 1943*j - 1930. Let x(g) = g**4 + 6*g**3 + 3*g**2 - 2*g. Let m(i) = r(i) - 4*x(i). Let m(b) = 0. Calculate b.\nAnswer: -386, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - n**2 - 3*n + 4 - 1 + 0*n. Let w be o(3). Find the first derivative of 4*g - w*g - 1 + 6 - 3 wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2 - (5 - 4). Determine k so that -2*k**3 - k**5 + 3*k**5 + 0*k**w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 748*n + 605. What are the prime factors of y(6)?\nAnswer: 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.161 + -1.839. What is the closest to -1 in d, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 7*u - 74. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 27, 1929 in decreasing order.\nAnswer: 1929, 27, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = 2*w - 0, 0 = -3*t. Let x be (3\/(-6))\/(w\/72). Let p = -17 - x. Put 3, -2, p in decreasing order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -39, -61, -61, -21, 77, 251, 519?\n\"Answer: 3*b**3 - 16*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r. Let s(w) = -3*w + 2*w + 0*w + 7*w. Suppose 3*i + 15 = 0, -4*i + i = -2*y + 5. Suppose m - 2*m = -6. What is m*s(k) + y*b(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 11. Let q be m(-8). Suppose 0 = -5*g - q*f, -5*g + g + 15 = -f. Let v(d) = g - d**2 - 2 - 1. Let a(i) = -i**2. What is a(v(r))?\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:59 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-161)\/(-14) - 1\/2. Suppose 0 = -7*g + t*g. Let z(f) be the first derivative of -f**4\/4 + 11*f - 113. Calculate z(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8.99. Let w = -7.01 - s. What is the second biggest value in -0.5, w, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3095 is divided by 1028.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 times -6?\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 213 - 2 = l, 0 = 2*n - 4*l - 90. Calculate the remainder when n is divided by (-3)\/(-2)*2 - -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -17*v**3 - 6*v**2 - 10*v - 14. Let c(q) = 48*q**3 + 17*q**2 + 32*q + 41. Let d(f) = -6*c(f) - 17*z(f). Differentiate d(h) wrt h.\nAnswer: 3*h**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*v - 186*v - 48*v - 156*v + 144*v)*(-6 - 150*v + 75*v + 71*v).\nAnswer: 1608*v**2 + 2412*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**31*r*r)\/r)**42)**31 assuming r is positive.\nAnswer: r**44268","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73829*g**3*l**5 + 18*g**3*l**3 + 802*g**3*l**2 - 2646*g*l**2 + g - l**2 wrt l.\nAnswer: 4429740*g**3*l**2 + 108*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0596119794517 from 0.6.\nAnswer: 0.6596119794517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 - 109. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-1 + 2*-960)*7\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 + 1. Let t = -5 + 11. Suppose 5*i + 6 = -3*x - t, 2*x = -4*i - 10. Let z be p(i). Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-151192)\/6*(-612)\/272 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 12 = 0. Suppose -h*m = -l - 299, 0*l = -5*m - 5*l + 465. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9728717701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6488?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 43.4 (b) 1 (c) -1\/3 (d) 137\/18 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12.8498016274 - 0.2\nAnswer: 12.6498016274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -0.058.\nAnswer: -0.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35342015?\nAnswer: 5, 31, 228013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 150 = 4*l + l, o = -l - 48. Let x be -10852*(-5 - o\/10). Suppose -5*c - 1491 = -x. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 22*u - 13. Let g be f(-21). Suppose -87 = 5*n - g*n. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 5. Let n = t - -3. Suppose 2*j + n*j = 0. Is j at most as big as -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9365, -9363, -9375, -9407, -9465, -9555, -9683, -9855?\n\"Answer: -l**3 - l**2 + 12*l - 9375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 630*r**3 + 2305*r**2 - 850*r + 40.\nAnswer: 5*(r + 4)*(7*r - 2)*(18*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 7:08 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let c = v - -4.224. Let z = 0.25 - c. Round z to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313 + -559. Let y = -243 - q. Let r = 11 - 16. What is the biggest value in 0.4, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -449 in 3, 403, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/18 (b) -81 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbjjzjjbzbjbj. Give prob of sequence jjjz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)\/h)\/h**(3\/2)*(h\/(h*h**(9\/2)*h))\/h**(-5\/8) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1919\/15 + -128. Let d = -19\/15 - t. Let k = 37 + -33. Which is the second smallest value? (a) -1\/2 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jttj when four letters picked without replacement from {e: 1, t: 3, j: 2, z: 6}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 times 51?\nAnswer: 49368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 24*n**2 - 29*n - 28. Is m(-25) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 3, -12, 0.05, -0.0175?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119800266 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17270761 - 12?\nAnswer: 17270747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2709 - 1744. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*y + 21, 4*f - 7 + 3 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -16*t - 32. Sort -2, 5, t, -11 in increasing order.\nAnswer: -11, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/627, -0.2, 0.4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 58*y - 2086. Let u be r(36). Solve k + 27 = -5*d, -u*d + k + 17 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32 + 0*(-3)\/(-6). Suppose d = 3*a - 1. Let t(n) = -2*n. Let u(o) = 12*o - 1. What is a*t(j) + 2*u(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3329.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from {g: 14, q: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5142464.\nAnswer: 2, 19, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o + o + 3*x, 5*o + 16 = 4*x. Let c = -259 + 261. Suppose o = c*a - 4*a - 12800000. Round a to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.078, -0.5, 0.05, -2, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*o + 67 - 823, 3*o - 3024 = -4*m. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 + 2*a**3\/3 - 7*a**2\/2 + a. What are the prime factors of m(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 222*b**2 + 19*b + 2. What are the prime factors of w(6)?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31110400 less than or equal to 31110398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*y - 170*y + 93 = 0. Are 29 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1064, 2397, 3730, 5063?\n\"Answer: 1333*s - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 826982632 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -741198165516675*h**4\/8 + 47155005*h**3\/2 - 3*h**2\/2.\nAnswer: -3*h**2*(15718335*h - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 2*y - 4*q, 3*q - 247 = -3*y + 7*q. Calculate the remainder when y is divided by 5 + -6 - (-16 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ba1791 + 11?\nAnswer: 1ba17a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-720))\/((-3)\/15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173 and 4?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1740976 and -61\/458544.\nAnswer: 214140048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 1\/2 (c) -22.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 + -3 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 50, -3, 5, 2\/3, -0.1 in decreasing order.\nAnswer: 50, 10, 5, 2\/3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615*w = -586*w - 551. Solve -20*r + 5 = -w*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 - 9*n - 7. Let d be k(-8). Solve y = d + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)\/p**(-2))\/(p**0*p)**(1\/13))\/((p**(-8)\/((p\/p**(-3))\/p*p))\/(p**(1\/6)*p**(-2))) assuming p is positive.\nAnswer: p**(631\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60377775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3655 (base 8) to base 14.\nAnswer: -a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = u + u - 113, -2*b + 26 = -4*u. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681300 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*l - 15, 18*l - 20*l + 8*z = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*50\/8*((-5920)\/120)\/74?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/27*(-726)\/605.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-2 + (sqrt(1216) - (sqrt(1216) + 2)) - sqrt(1216) - sqrt(1216)) + (3*sqrt(2299) - (sqrt(19) + 3*sqrt(19) + -1)))*4)**2.\nAnswer: -2080*sqrt(19) + 51776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*i**4 + 29*i**4 - 977*i**3 + 977*i**3 + (2*i + 4*i - 4*i)*(-4*i**3 + 0*i**3 + 3*i**3).\nAnswer: 51*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.05, 18\/155, -4\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 273 - 293 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -175653, -175661, -175669, -175677?\n\"Answer: -8*n - 175645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 7*y + 6. Let f be p(7). Let a(x) = x**3 - 8*x**2 - 6*x + 3. Let n be a(9). Let c = n + f. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4 + 844719*h**3 + 65*h**2 - 35*h + 11 wrt h?\nAnswer: 24*h + 5068314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 6296 = -2104. Suppose -42*r - a = -47*r. What is the highest common divisor of 40 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11641243 (base 8) to base 11.\nAnswer: 14a8118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 12}. What is prob of sequence tz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3 - 3. Suppose -l + w + 50 = 7, k*l = -w + 92. What is the remainder when 9 is divided by ((-4)\/6)\/((-6)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (37 + 58 - (-10 + -4))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 12*t**2 + 14*t - 12. Let h be n(13). Put -1, -8, h in descending order.\nAnswer: h, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*s**4 + 450192*s**3 - 4*s**2 - 13*s + 11058 wrt s?\nAnswer: 1056*s + 2701152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1278.13 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 4054440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-4))\/3 - (-1)\/4. Suppose 4*k - 4*m = 12, u*m = -2*k + 7*m + 15. Suppose 13*h - 8*h - 715 = k. List the prime factors of h.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/9 (b) -2\/13 (c) 6 (d) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 6, b: 1, u: 5}. What is prob of sequence ll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyriyrryyyyi. What is prob of picking 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*c + 19 = 0, 2*c + 3*c = 5. Suppose 0 = -2*d + 4 + b, 0 = 5*y - 5*d - 80. Suppose 0 = -p + 81 + y. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 660 + -323. Suppose 0 = 6*o - 17 - h. What is the remainder when o is divided by 8\/(-12)*(-45)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-36)\/(-6). Let v be 3 + ((-3)\/(-1) - s). Solve v = -2*f + 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 4, y: 2, d: 3}. Give prob of sequence yii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/433 - -547\/16454. Let f = 73\/114 + g. Which is the closest to 0.3? (a) f (b) 0.1 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 557083 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + 2.9. Let l = -46398 + 46397.9. Which is the biggest value? (a) 2 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let h(b) = 198 + 8*b**2 - 198 - 24*b. Let k(y) = -y**2 - y. Let s be (13 + -4)\/(22\/16 - 1). Let q(c) = s*k(c) - h(c). Determine q(p(x)).\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**5 - 24300*x**4 - 2835240*x**3 + 291680*x**2 + 33633360*x - 45362880 = 0.\nAnswer: -114, -4, 2, 4974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 1594.25844313.\nAnswer: -1599.25844313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000985 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1512, -13 in ascending order.\nAnswer: -13, -3, 1512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2003, 7650, 17305, 26962, 36621, 46282, 55945?\n\"Answer: q**2 + 9650*q - 11654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/4)\/(54\/(-144))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21*j + 94. What is the remainder when 230 is divided by o(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, a: 11, b: 1}. Give prob of sequence ww.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 80233.13 milligrams?\nAnswer: 0.00008023313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905662 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223573 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 1.49\nAnswer: -13.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 9*o - 4*o + 3*o**2 in the form y + g*o**2 + x*o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1985, 1983, 1981?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1239 + 1251. Solve 11 = 2*w + 3*t, -9*w - 11 = -q*w + t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138\/7 in 0.5, 0.8, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:25 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 2*h - 3. Let p be a(-3). Let q = p + 8. Let x be (4\/q)\/((-2)\/(-8)). Solve -3*y - 16 = -3*f + x*f, y = -3*f - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/48905 greater than or equal to 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17245489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/10 and 62\/10591?\nAnswer: 105910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7016.046 - 7025. What is q rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let b(j) = -2*j**2 - 5*j**2 - 6*j**2 + 3*j**2. Give b(q(w)).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.044638079?\nAnswer: -0.044638079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:53 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 11083947 and 28938.3.\nAnswer: 11112885.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37278482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = -57*s - 200 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -133. Let f be 5\/4 - 35\/u. What is the biggest value in 7\/3, 2\/11, f?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 6 = p - 4*c - 6, 0 = 17*c + 17 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*c + 129176 = 0, 60822 = 4*a + 5*c - 68336. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 34335*v**2 + 343266*v - 549200 = 0. What is v?\nAnswer: 2, 8, 34325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 25. Suppose 0 = -3*z + t + 17, -2*z + 9 + j = -t. Suppose -3*c + z = -8. What is the third biggest value in c, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/((-60)\/15*15\/48)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/8470 and -127\/1210?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**4 + 1034*i**3*z + 788*z wrt i.\nAnswer: -8*i**3 + 3102*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 178820*q. Let s(y) = 153*y**2. Determine k(s(f)).\nAnswer: 27359460*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 148437 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 8*t**2 + 6*t + 11. List the prime factors of f(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 83173 - 83173.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -11*l + 14. Let s(y) = 12*y - 15. Let i(u) = -5*s(u) - 6*v(u). Let x be i(-4). Let b = x - -72. Round b to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 2*j**2 - 25*j**4 + 26*j**4 + 3*j - 3*j in the form b + a*j**4 + m*j + l*j**2 + q*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.06667 to 1 decimal place.\nAnswer: -52.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/32 + (-271)\/(-4). What is h rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 122 = -38. Calculate the greatest common factor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -839.\nAnswer: -8\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 6*c - 6. Let v(i) be the first derivative of -i**2\/2 + i - 1. Let m(q) = j(q) + 6*v(q). Let d(t) = t**2. Determine d(m(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**3 - d**2 + 1. What is c(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1212 and 25\/2121.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168838?\nAnswer: 2, 11, 53129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2409280 divided by 40.\nAnswer: 60232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, i: 4}. Give prob of sequence iix.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g - 2. Let t(v) = -v**2 + 7*v - 1. Let y be t(6). Let d be 1 - y - (-1 + 0). Determine l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 4501, 3 in descending order.\nAnswer: 4501, 3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13. Let y = 1.58 - 0.08. Let n = y + -1. What is the closest to -0.1 in n, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x - 5. Let v(w) = 9*w + 4. Give 4*i(k) + 5*v(k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -4*y, 2*q + 26 = -3*y - 0. Let h(b) = 6*b**2 - 9. Let j be h(y). Calculate the highest common factor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 904, 2203, 4616, 8515, 14272?\nAnswer: 22259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3665 - 697.2\nAnswer: 2967.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h + 39*h - 87 - 51 = -43*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 76, 86, 98, 112, 128, 146?\n\"Answer: m**2 + 5*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -218, -318, -416, -512, -606?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10021456 is divided by 4818?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 + 47*u**2 - 118*u + 1066. Calculate c(15).\nAnswer: -3629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 3. What is the third derivative of -10*c**6 - 13*c**2 + 0*c**6 - c**2 + 6*c**t wrt c?\nAnswer: -1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*g*u**3 - 3*g*u + 776*g + 456*u**3 - 4*u**2 - 4*u - 4 with respect to g.\nAnswer: -26*u**3 - 3*u + 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2152.749 micrograms to grams.\nAnswer: 0.002152749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -161*g**2\/2 - 539*g - 31. Let r(l) = 53*l + 179. Let n(o) = -8*r(o) - 3*v(o). What is the derivative of n(q) wrt q?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000111 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 88793988.\nAnswer: -88793988.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 greater than 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4 + 8*m**3 - 13*m**2 + 6*m = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3101)\/(-886))\/(189\/3510)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38059694 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 4*g**2 + g - 2. Let r be m(2). Suppose r = 3*v - 7. Let x be 1 - 0 - (-2 - -3). Solve x*d - v*d + 2*l = -25, 2*d + 5*l + 19 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416a (base 15) in base 9?\nAnswer: 20861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-48) + (-2)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44337 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-7)\/(-84)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354088136.\nAnswer: 2, 79, 3724823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 + -81. Let u = 6 + s. Is 0.2 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4082612\/5 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 9439.34804\nAnswer: -9433.34804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6. Let x be z(-4). Let n = 13 - x. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 105.7. What is d rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -y - 1, 0 = -1479*y + 1476*y + 7*g - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 52*q**3\/3 - 900752*q**2\/9 + 46192*q\/9 = 0.\nAnswer: 0, 2\/39, 5774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/47, 2\/11, -1, -5 in ascending order.\nAnswer: -5, -1, 7\/47, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -6, 5, 30, 75, 146?\n\"Answer: j**3 - 2*j**2 + 2*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1631*s**3 - 816*s**3 + s**2 - s**2 - 756*s**3.\nAnswer: 59*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74, -98, -102, -80, -26, 66, 202, 388?\n\"Answer: z**3 + 4*z**2 - 43*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*c**2 + 15*c**2 + 7*c**2 - 31*c**2 as m*c + u*c**2 + x and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/22 or 0.03?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 15. Suppose 5*t + 10 = -5*v - 0*t, 4*t + 11 = -v. What is the remainder when 49 is divided by -3 - (g + -16 + v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*h**3 - h**2 - 63567*h + 11362125 wrt h.\nAnswer: -102*h**2 - 2*h - 63567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + j - 1372 = 0, 9*v = 14*v + 5*j - 3430. What is the least common multiple of 98 and v?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 39638.\nAnswer: 3\/39638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 - -1) + 2)\/(-3). Let n(p) = -p**2 - 34 + 78 - 38 - p. Determine n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21230954 is divided by 7076984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6724 = 466*m - 1829*m - 9418 + 1149 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*(-10)\/(-1)*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**2 - 6*z + 5. Let f(u) = u**3 - 4*u**2 - 144*u + 45. Let a be f(14). Let j(s) = -25*s**2 - 11*s + 9. Calculate a*l(v) + 6*j(v).\nAnswer: -7*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i + 25*i - 2074 = -21*i. What is the fifth biggest value in -15\/7, 0.5, 0.1, i, 2\/5?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50777 and 11508933683.\nAnswer: 11508882906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 + 4*z**2 + 2*z - 2. What is p(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 199 = -6*f. Let k be f\/(-13)*(-1)\/10. Let a = 112 - 1454\/13. What is the smallest value in -0.2, a, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -597 + 723. What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 0 + 2\/21*o**2 + 0*o**3 - 2\/21*o**4 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*b - 24 = 407*b + 4*x, -3*b - 11 = x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21021120122020 (base 3) in base 11?\nAnswer: -2203047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3 - 50. Let o = 138 + s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-50)\/20)\/(2\/(-8)). Let z(s) = -j*s**2 + s**2 + 10 + 11*s + 2*s**2 + 8*s**2. Let n be z(-10). Solve n = 3*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 4*j + 2. Let o be f(2). Let p = -8 - -8. Solve p*k = -o*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/85, 0.1, -5 in ascending order.\nAnswer: -5, 8\/85, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 8*f**2 + 4*f - 19. Let y be z(4). Sort -0.24, -0.2, y, 10\/17 in descending order.\nAnswer: 10\/17, -0.2, -0.24, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**1))**(-2\/21)*n**(-3)*n*n**(-4)*n)\/((n**(-1\/3))**(1\/2)\/(n**(1\/3)\/n*n\/(n*(n\/(n\/(n*(n**(-3\/2)*n)\/n)))\/n))) assuming n is positive.\nAnswer: n**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203169457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.305 - 0.3. What is c rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/77, 2, -0.1 in ascending order.\nAnswer: -0.1, 2\/77, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcc when four letters picked without replacement from crcccccrrcrrc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + 12\/16. What are the prime factors of 0 + (-30)\/(-3) - m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3\/9 - 2*f**2\/3 - 16*f\/9 - 2\/3 = 0. What is f?\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28914901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 6405246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 634*c + 52262. Determine p(-85).\nAnswer: -1628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -0.8, -2\/55 in descending order.\nAnswer: 2, -2\/55, -0.3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a factor of 26302598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*w + 122059*w**2 + 0*w - 2*w**4 + 9*w**3 - 121913*w**2 - 2*w - 3*w as n*w**4 + u*w + y*w**2 + d*w**3 + m and give y.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34177*z**2 - z + 8306 wrt z.\nAnswer: 68354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z = 77 + 93 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4567 = 2*h - t, -t = 5*h - 11421. Suppose -9013 - h = -11*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:57 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - (0 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*b + 11, 0 = -n - 2*b + 7*b - 23. Differentiate -v**2 - 3 - 3*v**n + 3*v**2 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**3 - 3*b + 1. Let i be x(2). Let j = -12 - i. Let c = 37 - 19. Calculate the remainder when j is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 37847?\nAnswer: 2\/37847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 89 + (-40660)\/700?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 11.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277\/5 + 55. Suppose 20 = -2*j + 4*n, 5*n - 4*n - 5 = 2*j. What is the nearest to j in 0.5, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 1, z: 4}. Give prob of picking 4 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194*g**4 - 366 wrt g.\nAnswer: 776*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 619872 and 60?\nAnswer: 3099360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/((-4)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 187, 175, 165, 157, 151?\n\"Answer: g**2 - 15*g + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31.1 in 5, 6\/5, -1.2, -1.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/7415856 and -93\/293338304.\nAnswer: 2640044736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2432892, -2432888, -2432886, -2432886, -2432888?\n\"Answer: -c**2 + 7*c - 2432898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 1\/4, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x + 0 - 14*x + 44. Let g be i(19). What is the tens digit of g\/(-2) + ((-12)\/8)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**4\/24 + z**3\/6 - 3*z**2. What is the smallest common multiple of 4 and w(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*i + 286480 + 2021691 = 81067. List the prime factors of i.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1073 not equal to -1170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*sqrt(34)\/sqrt(2) + -1*sqrt(153) + sqrt(17) + (sqrt(272) + 0)**2.\nAnswer: -26*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180)\/(sqrt(18)\/sqrt(3)) - (sqrt(30) + sqrt(270)*-3))\/(3*((sqrt(150) - (sqrt(150) + 4*sqrt(150))) + sqrt(6)))*2.\nAnswer: -18*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 6*v**2 + 6*v - 3. Let y be n(5). Let p be 0\/((y - 3) + 3). Let h(d) = d**3 - d**2 - d + 20. Calculate h(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20284529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4332 by -35.\nAnswer: -4332\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.37 + 0.63. Let d = -59 + 83. Let h = w - d. What is the nearest to h in 0.5, -0.3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.6 (b) 0.207 (c) -2\/3 (d) -63.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 minutes before 11:40 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -0.0707 times -126127\nAnswer: 8917.1789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3017467 - 3017412. Suppose -12 = -5*q + q. Let r(f) = 2*f**3 - 2*f**2 + 2*f + 2. Let s be r(q). Calculate the greatest common factor of c and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = 6*w - 2*w + 3*y, -3*y + 459 = 3*w. List the prime factors of w.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1432 - 1703 - 1267 = -83*d - 1497 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*((i - i + 2*i)*(4*i + 24 - 24) - i**2 - i**2 + 0*i**2)*(-1 + 7 - 1).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 23, 43, 69, 101, 139, 183?\n\"Answer: 3*t**2 + 5*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -6054054?\nAnswer: 6054056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*s**2 + 36 + 7*s**2 - s + 8*s**2 - 12*s - s**2.\nAnswer: (s - 9)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 30. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*118382.\nAnswer: -3196314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*x**3 + 0*x - 3\/2*x**4 + 0*x**2 + 0 - 1\/4*x**5.\nAnswer: -x**3*(x - 1)*(x + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 5*j**2 + 9*j - 5. Give a(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 919, 2, -2, 4, 5.\nAnswer: -2, 2, 4, 5, 160, 919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let z(p) = -14*p + 48. Let j(b) = b - 16. Let m(c) = -3*j(c) - z(c). Calculate m(u(k)).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 14.62.\nAnswer: 4.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6153 or -6143?\nAnswer: -6143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Let i = -148.5 + 146.5. Put i, 0.4, n in ascending order.\nAnswer: i, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -16630*d - 266064. Give x(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Let y = 14 + -12. Are v and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from ggtiaitiitdgdatd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3369 and -6035.\nAnswer: -6035.3369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -226050.\nAnswer: 43\/226050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400073 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/324 and 13\/378.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 times -28?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 + 189. Let b be 4\/14 - 132\/21. What is the nearest to -1 in b, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 - 9*l - 7. Let f(h) = 13*h**2 - 19*h - 13. Let p(t) = -6*f(t) + 11*x(t). Let c be p(10). Does c = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 6*m**2 + m + 8. Let b be g(-6). Suppose -3*c = 2*a - 7, -b*a + 29 = 3*a - 4*c. Solve a*h - 24 = 6*l - 3*l, -l + 4*h - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17954 or 17956?\nAnswer: 17954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.759 times -0.06\nAnswer: 0.10554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 1 = 2*g + 4, c - 4*g + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -3\/5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*b = b + 247, -5*k - 570 = 3*b. Let m = 114 + k. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 6, r: 7}. Give prob of sequence qq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*n\/(n**18*n*n))**(2\/31)\/(n**(-9))**(-1\/6) assuming n is positive.\nAnswer: n**(-153\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 581 from 3523.\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 - 1160*n - 2336 = 0?\nAnswer: -2, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88690 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3406)\/(-378) - -1) + (-2 - (3888\/18)\/27).\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183489170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2968 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*s - 8 - 3, z - s - 4 = 0. Is (537\/(-6))\/(z*(-6)\/1116) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 + 3*i + 7. Let s(v) = -v**2 + v + 1. What is -5*s(n) + z(n)?\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -80*z**3 - 4*z**2 - z + 1. Calculate the remainder when w(-2) is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 20*n + 1552 = 0, 295 - 394 = 5*y - n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + sqrt(448) - sqrt(4032)\/sqrt(9))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p + 233. Let h be l(-17). Suppose -24*o - 220 = -h*o. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i**3 + 0*i - 7\/60*i**5 - 5*i**2 + 0*i**4 + 0. Let f(v) = 2*v**2. Calculate l(f(p)).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/14070 and 53\/1029.\nAnswer: 689430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 25*y - 21*y, 3*m + y - 35 = 0. Let l(j) = 3*j - 26. Determine l(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 35*x**2 - 16*x + 9. Let o be h(-18). Let u(v) = -v**2 - 36*v - 3. What is the remainder when u(o) is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 1. Suppose 3*a = -0 - 3. Let q(u) = u**2 + 7*u + 1. Let x(m) = a*q(m) - 3*f(m). Determine x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -26 + 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(18\/5)*i\/(i*i**(1\/28))*i assuming i is positive.\nAnswer: i**(639\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 83752*z**4 + 434696216*z**3 - 38805355840*z**2 + 521637272004*z + 16098362703864 = 0. What is z?\nAnswer: -10513, -14, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) - (9 - 10). Solve -5*r - 12 = -p*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 228046.\nAnswer: 912184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t**2 + 3*t + 13. Let v be i(-6). Let d = v - -439. Calculate the remainder when 161 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 24*n. Let x(l) = 2*l - 516. What is z(x(c))?\nAnswer: 48*c - 12384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16463, -16432, -16343, -16166, -15871?\n\"Answer: 5*i**3 - i**2 - i - 16466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d + u, 3*d - 55 = -2*u - 3*u. Solve 0 = p + 4*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 324180662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, 550, 2050, 4908, 9586, 16546, 26250?\nAnswer: 39160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -99\/2. Let n = 253 + -252.8. Which is the closest to g? (a) 0.1 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpt when three letters picked without replacement from tmknp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 4*p**2 + 3*p**2 + p**2 + p**3 - 7*p**4 in the form b + f*p**2 + c*p**4 + g*p + h*p**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**7\/210 - f**3\/6 - 3*f**2\/2 - 5*f. Let j(c) be the first derivative of x(c). Differentiate j(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 + 16*p + 3. Let z be t(3). Let h be (-6 + z)*(-1)\/33. What is the third smallest value in -1\/6, h, 0.1, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(((g*g**(-3\/5)*g)\/g)\/g)\/g)*g**(4\/5)*g*g*g*g*g**3*g*g**(5\/2)\/g assuming g is positive.\nAnswer: g**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 + 11*z**2 + 8*z + 17. Let s(q) = 6 + 0*q**3 + 71*q + 33*q - 3*q**2 + 7*q**2 + q**3 - 101*q. What is -4*c(n) + 11*s(n)?\nAnswer: -5*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 11*n - 20. Let o(l) = 3*l**2 - l + 3. Let r be o(2). Let p be q(r). Find the third derivative of -10*u**2 + 10*u**p + u - u + 0*u wrt u.\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 305 and 3.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - t + 4*t + 63 = 0, -3*q = -t - 59. Suppose 12*b + q*b = 4588. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017 is divided by 132.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 6.11. Let u = y - 27. Let z = 21.0043 + u. Round z to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k**3)*(-2182 + 22417*k + 22415*k - 44835*k).\nAnswer: 6*k**4 + 4364*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - 137. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -71*f - 7. Let z(v) = v**3 - 6. Let x be z(0). Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (12 + (-8 + 5 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + -54. Let y = -108 - x. What is the smallest value in 3\/5, 4, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-2 + -2 - (-3 + 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, o: 1, q: 1, h: 1, m: 2}. What is prob of sequence or?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 16*l + 3. What is v(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 3 (c) -2\/5 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4095 = 304*g - 369*g. What is the remainder when 893 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 (base 5) in base 8?\nAnswer: -711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let t = -66 - -96. What is the remainder when t is divided by v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**2\/2 - 16. Let f(t) = 6*t. What is k(f(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from dbbdbdd?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 3*g**2 + g**2)*(5*g - 5*g + 3*g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.39 times -1?\nAnswer: 95.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.7 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, -1174, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + (15 - 5 - 18). Solve 5*h = f*y - 15, 3*y - 2*h = -28 + 35 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 88, 211, 408, 673, 1000, 1383?\n\"Answer: -a**3 + 43*a**2 + a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/13)*g*g**3)\/(g**(5\/4)\/(g*(g**(-4)\/g)\/g)))**(-3\/4) assuming g is positive.\nAnswer: g**(399\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 1, h: 6, v: 3}. Give prob of picking 2 h and 2 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (24 - 33) - 5 - -49\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*((l*l**(-7)*l*l)\/l)\/l)**(6\/7))**(-21) assuming l is positive.\nAnswer: l**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/30 and 32\/155.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3660 - -3594. What is the second biggest value in 0.2, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (10 - 8 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 20 (b) 1 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i - 54. Let h be x(5). What is the third smallest value in 0.09, h, 2\/13, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.23 - 5. Let c = 0.35 - 0.12. Let t = c - r. What is the nearest to t in 4, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + s**3 + (2*s - 2*s - 2*s**2)*(s + 3*s - 2*s) + 3*s - s**3 - 3*s + 467*s**3 + 109*s**3 - 12946*s + 12947*s.\nAnswer: 572*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.949786 to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p - 1. Let v(g) = -3*g**2 - 4*g + 1. Let x = 4 + -3. Let b(w) = x*r(w) + v(w). What is the second derivative of b(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, n: 8}. What is prob of picking 3 r?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 9 - (1 + -12 + 10 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 27*z + 26. Let d be p(-26). Suppose d = 7*t - 10613 - 27642. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -935933\/100 + 9359. Let j = k + 2\/25. Let n = 384.3 + -384. What is the second smallest value in -0.15, j, n?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*t + 0 - 2 = -5*t - 2*m - 2*m - 7 - 7, 0 = 16*m for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Suppose 0 = -h*w + 4*t + 8, t - 22 = 4*w + 3*t. Put w, -5, 14, -4 in ascending order.\nAnswer: -5, -4, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 4*g + (1 - 1 - 1)*(-g - g + 4*g) - g + 0 + 0 - 6*g + 3*g - g + (2*g - 5 + 5)*(2 + 0 - 4).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 126*c**2 - 950*c + 12. Calculate the remainder when 2858 is divided by j(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13806860*b + 6305437?\nAnswer: -13806860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.12405 litres in millilitres?\nAnswer: 82124.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 4*u**3 + 3*u**3 + 1 + 7*u - 12*u + 6*u. Let r be j(-1). Let w(h) = 6*h - 1. Give w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = -4*t, -5*m = 4*t + 12. Suppose -24*c**t - 16*c + 5*c**4 + 9*c**3 + 32*c - 6*c**4 = 0. Calculate c.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*p**3*s - 16112*p**3 - 363*p*s**3 wrt s.\nAnswer: -14*p**3 - 1089*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-22)\/18 - 12\/(-54)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 45. What is the remainder when 22 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 1, v: 5, f: 3}. Give prob of picking 1 g, 1 v, and 1 r.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 92. Suppose 2 = v, -6*v + p*v + 4191 = 3*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkfefkkeeke. What is prob of picking 2 f, 1 k, and 1 e?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3857 - 3694. Let p = 408 - 32. Let k = p - x. List the prime factors of k.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e5 - 2a?\nAnswer: -60f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -429653 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l + 3. Let m = 16 - 7. Is 12 a factor of c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 679 and 1067?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 9458163.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-180))\/((-969)\/68 + 4 + 10)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 0 + (-2007 - -2007)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192473, 192430, 192353, 192224, 192025?\nAnswer: 191738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.3 (c) 8\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143 (base 10) in base 6?\nAnswer: 13531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 872*a**2 - 8821*a - 2. Determine m(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860902079 to the power of 1\/2, to the nearest integer?\nAnswer: 43138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, f: 3, s: 1, y: 1, c: 2}. What is prob of sequence sffj?\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18245797 and 4119?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -500. Let x be -2 + l\/45 + -1. Let u = -3.1 + 3. What is the nearest to u in 0.2, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/7, -5, 10 in descending order.\nAnswer: 10, -11\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 3*c - 4*c)*(14 + 0 + 4).\nAnswer: 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 3, z: 3, y: 7}. Give prob of sequence my.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(11\/(-3) + 3). Let i be l\/(-10) - (-2)\/(-5). Let q = i - -4. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -5a1?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 9\/2 + 1\/2*j**2 - 3*j = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4429 in descending order.\nAnswer: 4429, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -9, 4 in decreasing order.\nAnswer: 6, 4, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28\/10*2*(-75)\/30\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 o when four letters picked without replacement from ppympppymypmppommopo?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from bkrqqiiw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8366, -16744, -25128, -33518?\n\"Answer: -3*o**2 - 8369*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = s - 891. Let g(w) be the first derivative of -w**4 - w**3 - w**2\/2 - w - 3. Calculate the remainder when s is divided by g(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**6\/18 + k**5\/15 + k**4\/12 - k**3\/9 + 17. Factor x(q).\nAnswer: -q**2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 16.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + 6. Let k(x) = x - 22. Let l be k(15). Calculate v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 272 - 3*j**3 - 160.\nAnswer: -j**3 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k**5\/3 - 12566*k**4 + 1031038*k**3\/3 - 6629438*k**2\/3 + 157396*k + 5163920\/3 = 0. Calculate k.\nAnswer: -3797, -4\/5, 1, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 3*p**8\/112 - 3*p**7\/70 - 13*p**6\/120 + 13*p**5\/60 + p**4\/6 - 2*p**3\/3 + 26*p**2. Solve r(m) = 0 for m.\nAnswer: -1, -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/5? (a) -5 (b) -2 (c) -3 (d) -2\/23 (e) -2\/519\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/19 + 16300*d**4\/19 - 308970*d**3\/19 - 65200*d**2\/19 + 65048*d = 0.\nAnswer: -2, 0, 2, 19, 8131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6351283, -25405116, -57161501, -101620438, -158781927, -228645968, -311212561?\n\"Answer: -6351276*o**2 - 5*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.061 + 16.939. Let n = -17.1 + w. What is the nearest to -18 in 5, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*g + 227, 0 = -4*g + 5*g. Let t = -142 + k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 238*c**2*q**3 - 5*c**2*q - 7227*c**2 wrt q.\nAnswer: 714*c**2*q**2 - 5*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -68, 7, 1, 32, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1132355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 15*y**2 + 25*y**3 + 45*y**3 + 15*y**2.\nAnswer: 66*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -136061 (base 9) in base 14?\nAnswer: -22441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3968439?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1150.643 - -1150. Let f = l + 0.642794. What is f rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37392\/(-24149))\/((-2)\/31)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200))**2 + 5)*2 + 4*-5*(sqrt(200) + 1 + sqrt(200) - sqrt(200)).\nAnswer: -200*sqrt(2) + 1590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-11)*x*x**8*x)**(-33) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(0 + 2*a + 0)*(-195 - 356 - 154 + 2 - 4 + 4 + (-2 + 6 - 3)*(4 - 6 + 0) - 3 + 1 - 1).\nAnswer: 2832*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-3\/20))**(-28) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 - 6*s**2 - 4*s**3 + s**3 + (s**2 - 2*s**2 + 3*s**2)*(s - 7*s + 4*s) to the form i + g*s**2 + a*s + d*s**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115910 and 12864.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 58867\nAnswer: 529803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**4 + a + 1\/3*a**3 + 0*a**5 - a**2 + 42 - 2\/3*a**6. Find the second derivative of c(o) wrt o.\nAnswer: -80*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279 + 111 + -17 + 75\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:35 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 4, 1\/7, 0.1, 5.24, 2\/9?\nAnswer: 5.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a microsecond in nanoseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/7, -0.3, 27, -2, 7.1 in increasing order.\nAnswer: -3, -2, -0.3, -1\/7, 7.1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, -1.6, -5, -3.\nAnswer: -5, -4, -3, -1.6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 6. Suppose -x - 22 = -4*d, 23 = -4*x + 2*d + d. Let i be -2 + x + 10\/2. Suppose 416 = -60*w - 98 + 34. Let u(r) = 1. Determine i*t(a) + w*u(a).\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -249 + 268. Suppose 0 = 4*c - 103 + h. Calculate the remainder when 143 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -554, -7, -0.03, -0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*j = 56, 5*x + j = -11 + 67. What is the highest common factor of x and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*q - 1456*q + 485*q + 482*q - 11*q**3 - 167*q**2.\nAnswer: -11*q**3 - 167*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:15 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 94. Let h be 4 - (-2)\/(-4)*(n - 10). Solve h*q + 36 - 16 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-10))\/((-2)\/(-5)). Suppose -8 = f*z, -2*h = 4*z + 38719 + 33289. Round h to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10385507 <= -10385509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77889365 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-1\/2)*x*x*x*x*x*x))*x)**29\/(x\/(x\/x**2))**(1\/3) assuming x is positive.\nAnswer: x**(1127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1018*i - 8132. Determine d(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124063\/16 - -7748. Let a be (-32996)\/10 + 2\/4. Let x = -3296 - a. What is the common denominator of w and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o. Let v = 8 + -22. Let q = v - -10. What is the closest to o in 0.3, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g**2 - 6*g + 7. Let o(v) = -17*v**2 - 5*v + 6. Calculate 6*o(r) - 5*w(r).\nAnswer: -12*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 18*y - 6. Let n = 9627 - 9621. Let p(h) = -2*h**2 - 19*h + 5. Give n*p(q) + 5*c(q).\nAnswer: -2*q**2 - 24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -719?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4 + 78*m**3 - 588*m**2 - 832*m + 1344 = 0 for m.\nAnswer: -2, 1, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from grggohh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2312761 and 298496.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 = -3*g, -2*g = r - 5 - 5. What is the third derivative of r*a**2 - a + a + a**4 - 6*a**4 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-q + q**3 + 5*q**3 - 5*q**3) + (21*q**3 - 2*q**3 + 4*q**3)*(-2 + 1 + 3)*(-111 + 152 - 80).\nAnswer: -1792*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**2 + 2*m - 15*m**2 + 34*m**2 - 68*m**2.\nAnswer: -70*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 770\/462*108\/(-120)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60715655 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 25. Let h be d(-8). Let s = 27 - 17. Suppose w = 3*w - s. Solve 2*l - w = -h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-8))\/((-3)\/(-4)). Which is the biggest value? (a) -0.3 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*h + 16 + 144, q = h + 49. Suppose -38*k + 41*k - q = 0. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -637121?\nAnswer: -637126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 42*r - 82. Let g be y(-23). Solve 2*k = 5*w + 35, 3*k + g = -3*w + 2*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28795461 - -12190461. What is p rounded to the nearest one hundred thousand?\nAnswer: -16600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -89. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16532*r**4 - 7949*r wrt r.\nAnswer: 198384*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-63))\/(4*8\/288)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*y - 163*y**2 - 38*y + (-1 + 1 - 2*y)*(-y + y - y) to f*y**2 + u*y + p and give f.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*-1830587.\nAnswer: 106174046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -22.6. Let t = -1.3 - p. Let y = 6 + -3. Which is the nearest to y? (a) t (b) 2\/3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(147) + sqrt(147) + 2 + sqrt(147) + (sqrt(147)*4 - sqrt(147))*-4)**2 + 3)*-2.\nAnswer: 119064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 1140*i**2 - 66105*i + 127690.\nAnswer: -5*(i - 113)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 v when four letters picked without replacement from {v: 3, a: 1, f: 2, z: 1, i: 1, g: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t**(-1\/10)*t))\/((t\/t**14)\/t))\/((t\/(t*t*t\/(t*t**(-7))*t*t*t))\/t)**(-4\/15))**(-2\/173) assuming t is positive.\nAnswer: t**(-89\/865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:32 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -9, -0.4, 0.4, -22, -96.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -101331001011?\nAnswer: -101331001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - 3.08. Suppose -5*d + 0*a - 9 = -2*a, 5*a - 6 = -4*d. Let k(t) = -4*t - 3. Let g be k(d). What is the third biggest value in i, g, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5658 divided by 2\nAnswer: -2829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14396 + 14399. Solve -n - 5*a - 2 + 20 = 0, 26 = -v*n + 5*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 502, 493, 484, 475, 466?\n\"Answer: -9*z + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-435)\/30 - (60\/(-14) + (-50)\/(-175))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202 + -232. Let l be (m\/(-45))\/(2\/6 + -2). What is the smallest value in l, 4, 13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1057*o - 8103. Does 58 divide n(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-70)*5*14. Suppose 5*k + 5*s = 105, -s - s - 9 = -k. Suppose t*c + 15 = u + c, 5*c = -u - k. Solve u*r - 12 = f + 1, -r + 4*f = 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -69.4.\nAnswer: -4025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 13. Determine v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*((n\/(n**(3\/13)*n))\/n)\/n)*n*n**(-1\/36)*(n\/(n*(((n**(5\/3)*n)\/n)\/n)\/n))**(-18) assuming n is positive.\nAnswer: n**(-1309\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*w + 23 + 9, 0 = 12*y - 4*w + 205 - 14 - 15 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 1387*f - 30088. Give x(-21).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -177*p**2. Let h(t) = 20*t**2 + 48*t - 32. Let x(f) = f**2 + 3*f - 2. Let b(v) = -5*h(v) + 80*x(v). What is b(k(z))?\nAnswer: -626580*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 equal to 12277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/(f\/(f*f**(4\/3))))\/f*f**3*f\/(f*f*((f\/(f*f\/(f*f**(-3))))\/f)\/f*f)*f\/(f*f\/(f\/(f*f**(2\/7)*f))*f) assuming f is positive.\nAnswer: f**(106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128100 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/119*(-3017)\/(-1724).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 2*i**2 - 3 + 2. Let k be d(-2). Solve c - 7 = 3*u + 3*c, 5*u - 4*c = k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -308, -1, -731, 0 in descending order.\nAnswer: 0, -1, -308, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q*q*(q\/(q**(-1\/12)\/q*q*q))\/q)\/q)*q*q*q*q*q\/q**2)**41*((q**1)**36)**8 assuming q is positive.\nAnswer: q**(5875\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/9)\/((-4)\/36). Suppose -323 = -5*z - h*f, z + f + 127 = 3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*c - 10, 4*c + 20 = s + s. Suppose -24 = 17*b - 5*b. Sort -104, s, b in descending order.\nAnswer: s, b, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 - 5 = -b, -2*b = -4. Suppose o = 5*s - 19 + 4. Let f(c) = -3*c**3 + 0*c**2 + 2*c**3 + 3*c**2 + 2*c - 1. What is f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342680 - 338510 = 139*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:26 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -13*b**3\/6 - 15*b**2\/2 - 139*b. Let d be o(-4). Which is smaller: 254\/7 or d?\nAnswer: 254\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(3*a**3 - 2*a**3 - 3*a**3) + (-45 + 19 - 38 + a)*(-a + a - 2*a**2).\nAnswer: -6*a**3 + 128*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518935 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*d + 120. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64 - 16 - 48*d + 50*d - 2*d + 0*d - d + (1 - 2*d - 1)*(-3 + 1 + 3) - 3 - d + 3.\nAnswer: -4*d + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 2*p - 2. Let c(y) = 8*y**2 + 38*y + 662. Let j(a) = -3*c(a) + 21*q(a). Factor j(h).\nAnswer: -3*(h + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 24*b - 49. Let f be h(2). Let w be f*((-76)\/66 - 28\/(-21)). Let x = -0.2 + 0.2. What is the smallest value in 2, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 1 - 18 + 17.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-9)\/3*-3*(-74)\/(-9) and 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ececdhchejlcc. What is prob of sequence djc?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k + 2*s = 1619, -2156 = -4*k - 4*s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-22)\/11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -198503960 divided by 164?\nAnswer: -1210390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13082, -52434, -118012, -209810, -327822?\n\"Answer: q**3 - 13119*q**2 - 2*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:19 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-6)\/28)\/((-271)\/(-472895)*349).\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {n: 2, e: 1, t: 1, b: 2, d: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6461 - 1669. List the prime factors of z.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -153*x + 604. What is v(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 2*i - 5. Let c be b(5). Let f = 375 + -352. Let q = c + f. Solve -3*o + 6 - q = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233405679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -11. Suppose y*a - 53 - 118 = -t, -4*t + 106 = 3*a. Suppose 5*w + u = 28 + 33, -5*w = 4*u - 64. Calculate the remainder when a is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-336))\/(5\/6)*-21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 - 5*o**4\/24 + o**2. Let c be x(-5). Suppose 1\/2*b**2 + c*b + 0 = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100*8\/320)\/(3\/2)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 574 + -307. Let j be 119 + 2\/(6\/(-3)). Let q = o - j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 574.88 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/4)*k**(-6))\/(k**(-1\/2))**(-38))\/((k**0\/k)**15\/(k*k*k*k**(-1\/4)\/k*k)**(-24)) assuming k is positive.\nAnswer: k**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2\/11 (b) -0.06 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 13*f - 11*f + 41*f - 9*f**2 + 7*f**2 - 162. Calculate k(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 4*w + 32*w. Which is the third biggest value? (a) 0 (b) -2\/13 (c) -3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 1534?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1275)\/34*(-88)\/(-132).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -4*x**3\/3 - 8*x**2 - x - 532. Let n(m) = 8*m. Calculate n(a(k)).\nAnswer: -64*k - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 21 - 23. Let x = -17 + z. Let h = 5 - 3. Which is the closest to h? (a) x (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 12*k**2 + 16*k - 12. Calculate g(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56 take away 24?\nAnswer: -25.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*k = 842 + 73 + 473 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (-4*(2*sqrt(1008) + 1)*6 - (2 + sqrt(1008)*1 + sqrt(1008) + sqrt(1008) + (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 0)) + sqrt(1008))*-5))**2).\nAnswer: 127920*sqrt(7) + 8475595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 2*s**2 + 2*s + 1. Let h be f(-1). Suppose -h*p - 2*p + 745 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p - 2*l - 11, -4*l = -5*p + 41. Put 3, -3, p in descending order.\nAnswer: p, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}