diff --git "a/data/dm_maths/full_data/10567_11255.jsonl" "b/data/dm_maths/full_data/10567_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10567_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -497 divided by 6\nAnswer: -497\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/7, 4, 6.4, 6, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -8 - -6 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 1. Let j(c) = 14*c**2 + 6*c + 8. Let b(r) = j(r) + 8*y(r). Let u(n) = -n**2 - n. What is b(k) + 5*u(k)?\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42628968*f**2 + 63659955*f wrt f?\nAnswer: -85257936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 2*i + 17\/9*i**3 + 17\/6*i**2 + 127 + 1\/15*i**5 + 7\/12*i**4. Factor u(b).\nAnswer: (b + 1)**2*(b + 2)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 4*p**2 - p**2)*(9*p + 0*p + 2*p + (3*p - 2*p - 3*p)*(0 + 4 - 6) - 3*p + p + 3*p)*(-37 - 4*p + 37).\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44023*-4.59.\nAnswer: -202065.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 53*z**2 - 427*z - 59. Determine n(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 0, -118\/5, -0.1, -1, -5 in increasing order.\nAnswer: -118\/5, -5, -1, -2\/15, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 2*q**2 - 3*q - 3. Let m(n) = n**2 + 1. Give -g(d) - 3*m(d).\nAnswer: -2*d**3 - 5*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58931, 58966, 59031, 59126, 59251, 59406?\n\"Answer: 15*a**2 - 10*a + 58926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a45 + 5?\nAnswer: 15a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2203, -4411, -6619, -8827, -11035, -13243?\n\"Answer: -2208*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m)\/m*m*m**(-1\/6)*m*(m*m**(-1)*m)**(8\/9)*(m**(-8)\/m*m*m**(-6))**(1\/25) assuming m is positive.\nAnswer: m**(-1277\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(5))*-1 - sqrt(225)\/sqrt(5)) + sqrt(55)\/((1*sqrt(88))\/sqrt(8) + sqrt(11) + sqrt(11)))*6)**2.\nAnswer: -264*sqrt(5) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26884 and 11090872.\nAnswer: 121999592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x - 3. Let d be g(4). Suppose 3*b = -5*y + d*b + 4, -21 = -3*y - 5*b. Suppose 5*o + 20 = 0, 0*h + 3*h - y*o = 389. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x**2 - 1162*x - 1877. What is o(-104)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -2\/9, -0.9, 6396 in descending order.\nAnswer: 6396, 0.4, -2\/9, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000688 rounded to five decimal places?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*r - 3*r + r - r**3 to a*r**2 + m + w*r**3 + g*r and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 2. Let y be (-6)\/p - (2 - 1). What is the second biggest value in -2, 2\/11, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236871 is divided by 59197?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 5177390*a + 10354781\/2.\nAnswer: -(a - 1)*(a + 10354781)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 103582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, -0.2, 0.5, 841652?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 3 + 2 - a + a**2. Suppose -6 = -2*n - 4. Calculate the remainder when z(n) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -866164 or -866162?\nAnswer: -866162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2219? (a) 2.26 (b) 0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 8:44 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -380.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 6)*(-2067 + -1)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(2\/7))**11)**(-27))**(-43))**(-36) assuming w is positive.\nAnswer: w**(-919512\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 983249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 18913\nAnswer: -5673.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -76*p**2 - 666*p + 1896. Give w(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -2715, -6140, -10953, -17160, -24767, -33780?\nAnswer: -44205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6218 is divided by 2841?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 412135 and -30.\nAnswer: -12364050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = -4*l + 5, 4*j = 3*l + 8. Which is the nearest to 0.3? (a) -5 (b) j (c) -2\/641 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from {h: 12, b: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*s, 2*s = -2*m + 3*s + 5. Solve g - 4*g = m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-30) - (-3)\/(-9). Let y = 106 - 103. Suppose -4*m = 5*r + m + 10, -y = 4*r - m. Do r and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -824041.\nAnswer: 1\/824041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838284 is divided by 3488?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*a - 206*a + 1562*a - 675*a.\nAnswer: 538*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 4*c + 3*c)*(-3*c + 2*c + 0*c) - 3*c**2 + c**2 + 4*c**2 - 2 - 6*c**2 + 6*c**2 - 4*c**2 in the form r*c + s + d*c**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 + 0 - 9*m**3 + 0.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/5 - -4\/35. Let i = 3.08 - 0.08. Let u = -8.3 + 8. Which is the closest to 2\/7? (a) u (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 + 261. Put 3, 1\/4, g in decreasing order.\nAnswer: g, 3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298413393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 3}. Give prob of sequence qq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-66)\/(-11))\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 109*x = 110*x - 6, 5*x = 5*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bayuafybbyaafbab. What is prob of picking 1 u and 2 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -110, -189, -290, -419, -582, -785?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 68*t**2 - 1181*t + 903. What is w(35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 11. Let z be f(10). Let y be (-12)\/54 - 155\/z. Suppose 38 + y = 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/17026 and 79\/4.\nAnswer: 34052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -107.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 3*s**2 - 2*s**3 + 5*s - 3*s as v + y*s + x*s**2 + u*s**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5669\/4 at least as big as 4565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**4 - 3381509*i**3*x - 357980*i*x - 150*x wrt i.\nAnswer: -96*i**2 - 20289054*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5877\/4*g**2 - 9 - 1656*g**3 - 1587\/4*g**4 - 219*g = 0 for g.\nAnswer: -3, -1, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**2 + 58*r**2 - 17*r**2 + 35*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 84632 (base 13) to base 5\nAnswer: 30111311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280588428 a multiple of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 5*x + 1. Let r be n(-4). Let h(l) = -l**3 - 5*l**2 + 4*l - 7. Let s be h(-6). Solve -s - 15 = r*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0) + 1 + 2. Suppose -2*b = -a - 5. Let k = 0.85 + 6.15. What is the nearest to -1 in b, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1754 divided by -4\nAnswer: 877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 247*i + 356. What are the prime factors of m(3)?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61710 and 561.\nAnswer: 61710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6188 - -553.4\nAnswer: 6741.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 175*j - 4014. Let o be i(23). Solve -2*r = -q + o, -178*r + 2*q = -176*r + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 15 = o. Suppose 0 = d + 3, 3*a - 5*a + 17 = -o*d. Does 3 divide (-2)\/(-3)*3 + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/2 - -2)*(-10 - -6). Let g = -23 + 25. What is the greatest common divisor of z and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 193 = 3*q, -282 + 64 = -4*v - 2*q. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnvv when four letters picked without replacement from {v: 3, p: 2, n: 2, o: 5, b: 3}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6364.\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 3:47 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*v - 387 = -1605, 5*y - 3*v = 1506. What is the least common multiple of 21 and y?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-364)\/(-576) + (-6)\/(-27). Let v = q - 3\/16. Is -0.1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34463329?\nAnswer: 41, 71, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.817 + 16.302. Let w = 55 - t. Let m = 0.119 + w. What is the second biggest value in -2\/5, -2, 6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 119. Let c(j) = 535. Let h(t) = -2*c(t) + 9*z(t). Let i(x) = 2*x**2 + 2*x + 1. Determine 4*h(u) - i(u).\nAnswer: -2*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*p - 28*p - 21*p**2 - 31*p + 3 - 26*p to the form s*p + o*p**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckpk when four letters picked without replacement from {p: 6, c: 9, k: 4}?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - sqrt(468)*2 - sqrt(468))\/sqrt(4).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3 + 2. Which is the third biggest value? (a) 0.2 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 12) to base 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 - 5. Suppose -3*u - 7 = -1. Let z be ((-8)\/20)\/(u\/20). Calculate c(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:49 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*b = -13*b + 308. Let s be (135\/36)\/((-1)\/(-36)). Let d = -93 + s. Calculate the highest common divisor of d and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/11)\/((-6)\/66). Let r(s) be the second derivative of -3\/4*s**2 + 5\/4*s**3 + 0 - 5*s - 1\/2*s**i. Factor r(b).\nAnswer: -3*(b - 1)*(4*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b**3\/3 - 15*b**2\/2 - 7*b + 6. Let t(k) = k**2 - 7*k - 3. Let z(l) = -3*n(l) + 5*t(l). Let r be z(10). Is 7 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, -54, 451, -1?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - 119\/(-51). Let h = -0.2 - 0.3. What is the second smallest value in x, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 75*k - 1. Let q(f) = -2*f. Calculate p(q(s)).\nAnswer: -150*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -84, 430, -5 in increasing order.\nAnswer: -84, -5, -4, 2, 4, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 33*r**2 + 68*r**2 + 1)*(-r - 5*r + r) + (0*r + 4*r - 5*r)*(0*r**2 + 0*r**2 - 11*r**2) as m*r + g + s*r**2 + n*r**3 and give n.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (0 - (9 + 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 1. Let s = -22 - -36. Let i = l - s. What is the third biggest value in i, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7637997 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 3616b?\nAnswer: 36170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 8*f**2 - 5*f - 9. What is l(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + d + 234522, -4*g - 11*d + 234528 = -9*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 93 - 66. Let h(k) = -k**3 - 11*k**2 + 10*k - 7. Let v be h(-12). Let s = v - -10. Calculate the remainder when u is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h - 111. Let g be b(-16). Put -63, g, -5 in ascending order.\nAnswer: -63, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 5, q: 7, x: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let r = -163\/110 - -15\/22. Let t = 2 + -2. Which is the nearest to z? (a) t (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 - -64. Let b = d + 666\/7. Is -1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*m - 114*m + 44. Let y be (-56)\/(-16) + (22\/(-4))\/m. Solve 2*j = -y*s - 0*j - 20, 0 = 4*s - 2*j + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3) + 4)**2*6.\nAnswer: 192*sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1020 - 657. Suppose 16*f + t = 19*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + -0.36. Let v = m - -0.06. Round v to 2 dps.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/252 and 47\/14?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2000 is divided by 987.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 14 = -18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -537597 - -537515.1899. Let w = g + 0.0101. Round w to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 18. Suppose 644 + 64 = u*v. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = 2. Let b = 6 + -10. Let o(k) = k**3 + 4*k**2 + k + 9. Let f be o(b). What is the closest to i in 1\/7, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 16. Let s be q(8). Let u(w) = -w + 1. Let o be u(s). Solve 7 + o = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282688 and 3786.\nAnswer: 848064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 6*b + 5*a, 0 = -5*b - a - 22 + 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -766\/19 or -39?\nAnswer: -766\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894278 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**4 - 7*z**4 - 5*z**2 + 33 - 27 + 10*z**3 + 3*z**2 + 4*z**4 to t*z**3 + k*z + w + f*z**4 + j*z**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 227165143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 26433?\nAnswer: -26421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1640 and 1286880.\nAnswer: 52762080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c. Let l(z) be the first derivative of z**2\/2 - 6. Calculate l(v(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + -0.4. Let q(o) = -5*o + 53. Let f be q(10). What is the smallest value in 0, -5, f, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69729?\nAnswer: 3, 11, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 40 = -4*z, 3*n - 2*z = -36 + 58 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*v + 19. Let b = -72 + 74. Suppose 0 = 2*c + 3*c - g - 8, 2*c + b*g - v = 0. What is the smallest common multiple of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = 8, -1198357 = -5*o + 2*c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:12 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282845864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -22 + 1403 + 24*(50\/15 + -3) is divided by 128.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(5 - 12))\/(-1). Suppose p*q - 305 = -2*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -321*p**3 + 566*p**3 - 306*p**3 + (2*p + 0*p - p)*(2*p**2 + 3*p**2 - 3*p**2) + 2*p**3 + 0*p + 0*p + 3*p**3 - 3*p**3 + p**3 - 2*p**3 + 3*p**2 - 3*p**2.\nAnswer: -58*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -19 - (2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 788753457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:20 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 16. Let a(o) = 3*o + 15. Determine -3*a(z) + 4*t(z).\nAnswer: -z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 722533, 1444959, 2167385, 2889811, 3612237, 4334663?\n\"Answer: 722426*w + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6276806645 - 152.053.\nAnswer: -6276806797.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16001 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3781, 15146, 34087, 60604, 94697?\nAnswer: 136366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.743 times -1368\nAnswer: -2384.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612180 is divided by 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501228440 by -5.\nAnswer: -100245688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(72) + -1)**2 + 6*sqrt(16)\/(sqrt(512)*1).\nAnswer: -285*sqrt(2)\/4 + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1512152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 5*q**2 - 5*q - 7. Suppose 2*h - 3*h + 6 = 0. Let n be i(h). What is the units digit of n\/(-3 + 2\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997 = 31*x + 550*x + 165 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 5\/(-5) + -13. What is the biggest value in 0, -0.5, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239.284 millennia in months?\nAnswer: 62871408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.8 + 0.2. Let x = 10.8655 + 0.1185. Let f = t - x. What is f rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058398 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -83 (b) 2 (c) 1\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4177 is divided by 2943?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 + 7 - 3) - (-41 + 25).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 3*a. Suppose 5*k + 6 = -3*o, 7*k + 3 = -2*o + 4*k. Let g be q(o). Suppose 40 + g = 5*f. Solve f*c - 3*c + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 678 and 3?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*g - 37*g. Suppose g = 3*n - 0 - 6. Let f(b) = 242*b - 4. Let j be f(n). Round j to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 66*g - 3958. Let a be n(60). Solve 96 - 110 = 2*t + 4*y, 0 = 4*t - a*y - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**6*k*k**(-8)*k)\/(k\/k**(-1\/7)*k**(2\/5)))**(1\/37) assuming k is positive.\nAnswer: k**(-439\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or -2296?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265691 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148.63 - -145. Let z = 2.63 + t. Which is the biggest value? (a) -0.2 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 0*l - 2*l + (-1 + l + 1)*(4 + 0 - 3) - 2*l + l + 3*l)*(-l + 0 + 0) to h*l + j*l**2 + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*j - 125 = -593 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w - 592. Let v = -9\/206 + -2533\/8034. Calculate the common denominator of d(-36) and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/11, 6, -5 in increasing order.\nAnswer: -6, -5, -1\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g + 1. Let v be h(-11). Let i = 281 + v. Suppose -z + i = o, -o - 2*o + 413 = 4*z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-20)\/34))\/(((-7)\/98)\/((-3)\/(-21)))?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -412.\nAnswer: -412.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n - 2*m + 1619, -653 = 2*n + m. Let c = n + 1623\/5. Sort c, 5, 2\/13.\nAnswer: c, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1560, -1561, -1562?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 20474.\nAnswer: 20474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(4 - 3 + 0)*(6 - 2*s**2 + 4*s**3 - 6).\nAnswer: -4*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 274*-0.1\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -5 - -8)\/((-2)\/(-4)). Which is the nearest to s? (a) 2 (b) 1\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/6)*o)\/(o\/o**5)*o**(1\/2)*o**(-6)*(o\/(((o**2\/o)\/o)\/o*o))\/((o**6\/o)\/o*o)*(o*o**(-2\/11))\/o**(1\/4) assuming o is positive.\nAnswer: o**(-365\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-7) + 1*(-3)\/21. Suppose -4*i = -2*u - 12, u - v*u - 5*i - 40 = 0. Let c(z) = 2*z**2 + 3*z - 8. Is 27 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102000301333 - 120?\nAnswer: 1102000301213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 2 - 8*d**2.\nAnswer: -8*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1038*q + 61293. Suppose 2*n = 6*n - 400. Calculate the remainder when n is divided by u(-59).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-6)\/(-4860)*9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 60*b**2 - 259*b - 18. Give n(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 + 2*h - 3. Let z be c(2). Let o = z - 26. Suppose -9*j + 4*j = -o. Solve -2*n + s = -j*n, -8 = -4*n + 4*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36.04 and 17.\nAnswer: -19.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468*-2.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1979416.\nAnswer: 1979416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14.3. Which is the nearest to 2\/3? (a) -4 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 140642919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129, 648, 1961, 4446, 8481, 14444?\n\"Answer: 63*m**3 + 19*m**2 + 21*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)*c*c)**8\/(c\/(c\/(c*c\/(c*c*(c*c**(-4))\/c*c)))*c*c**(2\/5)) assuming c is positive.\nAnswer: c**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22310 - -11?\nAnswer: -22233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*d**3 + 21004*d**2 - 27869*d + 6828.\nAnswer: (d - 1)*(d + 569)*(37*d - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25017 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: Rearrange (0*s**2 - s**3 + 0*s**2 + 115 - 115 - 28*s**3 + (4 - 4 - s**2)*(s + 0*s - 2*s))*(-2 + 1 + 2) to the form c*s**3 + y + l*s**2 + h*s and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59758*o**3*x**2 + 7*o**2 + 12394*x**2 wrt o?\nAnswer: -358548*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 - 26\/90\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37662674 and 9898?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835989327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 38. Let d = p - 4. Suppose -4*t + 1 = -d. Solve 4 = t*c, -b - 8 = -0*b - 2*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(204))\/sqrt(12).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/14 - 8*h**3\/21 + 5*h**2\/7 - 4*h\/7 + 57. Suppose g(v) = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(2 - 10 - k + 2)*(0*k + 0*k + 3*k**4) + 2*k**5 + 1 - 1.\nAnswer: -k**5 - 18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnp when three letters picked without replacement from {v: 8, n: 3, c: 3, p: 2}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35311334 - 3?\nAnswer: -35311341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*p = -296, 2*p = 20*l - 21*l + 74. Let f = -15 + 25. What is the lowest common multiple of f and l?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-12)\/(-6))\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -535\/4 - -134. Let z = 3.6 - -0.4. Let j = -287\/6 - -48. What is the second smallest value in z, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4, -3*z + 4*n = 3*n - 8. Suppose z*f = -3*f. Suppose h + v - 19 = -4*h, f = -5*h + 3*v + 23. Let k(d) = -d**2 + 3*d - 4. Give k(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2 + 6. Suppose -5*v + 186 = -t*v. Suppose -j = j - v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let s = 2.2 - f. Let u = 4 - 1. What is the third smallest value in s, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -43. Suppose -140 = -3*g - 2*c, 2*c - c - f = 0. Let w = g + -30. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/280 (b) -5 (c) 1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/(4*(-2)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-108)\/496) + 2\/3 - (-14)\/(-42)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a - 237 = 2 + 126 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - q = 5 - 4, 3*q = 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n**25 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 10*c + 5*c**2 - 4*c**2 + 7*c**2 + 18.\nAnswer: 5*c**2 + 10*c + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2. Let d be k(0). Let o = 13 - d. Let y = 25 - o. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o**5\/9 + 203936*o**4\/9 + 38843*o**3 + 87394*o**2\/9 - 58264*o\/9 = 0. What is o?\nAnswer: -29132, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7698, 7691, 7684?\n\"Answer: -7*c + 7705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.10275 * -1.9.\nAnswer: -0.195225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -4 in descending order.\nAnswer: 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(3*(-7)\/210). Solve 21*g**2 - 4*g**2 - 7*g**2 - 5*g**2 - s*g = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 21*v**4\/4 - 26*v**3\/3 + 47*v**2\/2 - 129. Let r(l) be the second derivative of g(l). Find the first derivative of r(b) wrt b.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:23 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1244672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 22. Let h be n(5). Suppose -b - 3*k + 11 + h = 0, b + 5*k = 18. Round b to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 247746231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqu when three letters picked without replacement from {q: 1, u: 2, b: 1, d: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 2448 = 11*q. Solve 21*i - q = -76 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*p**4 + 60 + 34*p - 9*p**2 - 9\/2*p**3.\nAnswer: (p - 10)*(p - 3)*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/53 + (-10035)\/(-477)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i - 18*i - 46*i.\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*f + 2*t - 1274, 2*f - 562 = 3*t. Let j = f + -318. Suppose z - 37 = i, -4*i - 3*z = -0*i + 155. Is i < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.4*0.194.\nAnswer: -4.3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52020*b**4 + 25432935*b**3\/2 - 5756960*b**2 + 392870*b - 7320 = 0 for b.\nAnswer: 2\/51, 3\/8, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0 - 1\/720*f**6 - 1\/90*f**5 + 0*f**3 + 1\/1260*f**7 + 1\/36*f**4 + 0*f - 16*f**2. Solve c(q) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*-2 - sqrt(147))*-2)**2 - (-5 + 1 + sqrt(3))*-1.\nAnswer: sqrt(3) + 5288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 932 by 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2501*v**3 - 242 + v**2 - 252 - 250 + 744 to the form q + b*v**2 + f*v + s*v**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**3 + 30*x**4 - 38*x**3 - 22*x - 7*x**5 + 13*x**2 + 18*x + 11*x**2 = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 2.4756\nAnswer: 32.1828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-23)*v)**(22\/9))**24 assuming v is positive.\nAnswer: v**(4576\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {x: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4123430 (base 7) to base 11\nAnswer: 307812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860661602 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwkhwwkwhkwwkwwkvwvw. Give prob of sequence vvh.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3243135 and -89\/18?\nAnswer: 19458810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1557655, 1557774, 1557879, 1557964, 1558023, 1558050?\n\"Answer: -z**3 - z**2 + 129*z + 1557528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328761*r**5 + 93702045*r**2 wrt r.\nAnswer: 19725660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j**2 + j. Suppose 0 = -3*o + 4*k + 125, 4*o + k - 170 = -o. Calculate the remainder when t(4) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*m - 48 = -144*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4429, 4447, 4489, 4567, 4693, 4879, 5137, 5479?\n\"Answer: 2*n**3 + 4*n + 4423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -769 divided by -1.\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/24 - (-7 - (-318)\/48).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/8 of a microsecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176 divided by -3?\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4469243 is divided by 16865.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**8\/336 + 25*i**4\/24 + 23*i**2. What is the second derivative of d(b) wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304\/13, -0.3, 14 in descending order.\nAnswer: 304\/13, 14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-8 - (7 + (4 - 3) + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 3. Let r be l(-4). Let g = 1 - r. Suppose g*s = 3*s + 6, -s = y - 14. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 848?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7640*l - 1405757. What is q(184)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 12*z - 63)*(-2 + 4 + 0 - 2*z).\nAnswer: 24*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 390741.2078 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/18*(-115)\/(56350\/60)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -67\/6, 3287?\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01196 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j\/(j*j**3*j))))*j*(j*((j*j*(j\/(j\/j**(-23))*j)\/j)\/j*j)\/j)\/j*(j\/j**(-1\/10))**(-6\/7) assuming j is positive.\nAnswer: j**(-593\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 1. Let k be y(7). Let j = -7535 + 120487\/16. Find the common denominator of j and (219\/k)\/(-4*(-2)\/16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12)*(-756)\/27)\/(198\/1485).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045084100 to the power of 1\/2, to the nearest integer?\nAnswer: 45223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1120391584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -2\/7, -3, 1.8, -61 in descending order.\nAnswer: 109, 1.8, -2\/7, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(0 - 21\/6). What are the prime factors of 30\/7 - (-2)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22117 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let i = 1869 + -1860. Let a(m) be the second derivative of -1\/2*m**2 + i*m + 0 - 1\/6*m**3. What is -4*a(t) + 3*c(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-803.89.\nAnswer: -18489.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62 - 8697?\nAnswer: -8759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -19. Suppose -60 = -13*p + s*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyybawy. Give prob of picking 2 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20625 or 20311?\nAnswer: 20625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 0 in increasing order.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57\/331 + -44387\/5958. Find the common denominator of 34\/123 and n.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-406)*1\/3. Is 0 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 + 8*d + 94. Calculate y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 + 11412*t**4 + 91400*t**3 + 137136*t**2 = 0. Calculate t.\nAnswer: -6, -2, 0, 5714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 3*y - 2, 5*y - 8*y - 2*d = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 112, 0.4, 12, -0.02, -5\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 + 299. Suppose 81 = o*c - 65*c. Calculate the highest common factor of c and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483 divided by 124\nAnswer: 483\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 12. Let l be h(-18). Let b(z) = 4*z - 20. Let q be b(l). Is (-4 - (753 + q))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5031*l = 5062*l - 155 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + o**2 - 1)*(-o + o + 2*o**2) + 89*o**4 + 868*o**2 - 868*o**2 + 6*o**3 - 5*o**4 - 6*o**3 as m*o**3 + r*o + f*o**2 + y*o**4 + l and give y.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2449*m**3 - 2414*m**3 - 2424*m**3 + 7301*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2453, -3, 518, -1, 4 in decreasing order.\nAnswer: 2453, 518, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let u(j) be the second derivative of 0*j**2 - 126*j + 0 - 11\/2*j**4 + 0*j**3. What is g(u(w))?\nAnswer: -4356*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42213 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 9*q**2 + 7*q - 5. Let s be u(-8). Let f(i) = -i**s + 2 - 2 - 1. Let l(g) = -3 + 229*g**3 + 217*g**3 - 450*g**3. Determine 3*f(k) - l(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3174554 - -3?\nAnswer: -3174551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 6*t - 6. Let x be f(-2). Suppose 5*r + 5*i = 1290, i + 2*i = x*r - 501. Let g(y) = y + 255 - r. Let l(b) = -13*b. Determine g(l(u)).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 718.2395 nanometers?\nAnswer: 0.0007182395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t**3 - 17*t + 15. Suppose -s + 18*s - 1547 = 0. Suppose -133*d - s = -126*d. Let a(g) = 7*g**3 + 8*g - 7. Calculate d*a(r) - 6*o(r).\nAnswer: -r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64688978?\nAnswer: 2, 17, 1902617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 45944.835 to the nearest one hundred.\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/4, 1\/15, 2\/13 in decreasing order.\nAnswer: 2\/13, 1\/15, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 - -422. Suppose -28*n = -20*n - v. Solve -21 = w - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**2 - 6*t - 10. Let k(b) = 7*b**2 + 6*b + 9. Let m(o) = -6*c(o) - 7*k(o). Determine m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-234)\/21)\/(-13))\/(5\/(-7))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, -130, -199, -268?\n\"Answer: -69*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = 16. Suppose x = t + 6 + 5, -5*x - 3*t = -39. Let h = x + b. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 5*k**2 + 12*k - 5. Suppose 0 = -m + 18 - 14. What is the hundreds digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - d**3 + 2*d**2 + 46*d - 6*d**2 - 51*d to p*d**3 + a + s*d + h*d**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f - 17. Suppose -7*m - 12 + 47 = 0. Let z be p(m). Let w = z - -11. Solve 0 = 3*u + 3*y - 6, y - 18 = 3*u - w*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**14\/(r*r**3) assuming r is positive.\nAnswer: r**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -436, -1485, -3526, -6889, -11904, -18901, -28210?\n\"Answer: -55*k**3 - k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1933486, -1933485, -1933484, -1933483, -1933482, -1933481?\nAnswer: -1933480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t - 6. Let u be m(-14). Suppose 4*n = 7*n - 3*j + 315, 2*j = 3*n + 315. Let o = n + u. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 8*a**2 - 6*a + 13. Let p be s(-7). What is the common denominator of (-10)\/(-4)*3\/(p\/(-11)) and -97\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-7.2.\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (0 - 7) + 26 + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2\/11, 1, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyh when three letters picked without replacement from {w: 2, y: 2, h: 10}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(51)*-5)\/(6*sqrt(15)\/sqrt(5)) + -1)*-2.\nAnswer: 2 + 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 11*m - 3*m + 11*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*d - 101, -3270*g + 3269*g + 67 = -5*d. Suppose 2 = b, 2*j + b - 2 = -0. Solve 5*x - q - 19 + 0 = j, x + 5*q = -g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1351356400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 80834712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 18912*g.\nAnswer: -18912*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.106\nAnswer: 0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*s - 2*x, s - 5*x = 2*s - 18. Let r(k) = -s*k + 52*k - 5 - 22*k - 14*k. Calculate r(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158323 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1297 divide 60512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/3))**(-33)*(c**2)**(7\/4))**5)**20 assuming c is positive.\nAnswer: c**(-750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/5)\/v)\/(v*v\/(v*v*v**(2\/3))))\/((v\/((v*v**13)\/v))\/v**(-23)) assuming v is positive.\nAnswer: v**(-182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + -4.3. Suppose q + 0*l - 2*l = 3, 4*q = 5*l + 9. Which is the closest to 2? (a) j (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 394 (c) 0.5 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/3 - 1110456*v**2 + 2220914*v - 3331372\/3 = 0. What is v?\nAnswer: -1665686, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -769361*5.\nAnswer: -3846805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37894823 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.60023km in meters?\nAnswer: 63600.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110001 (base 2) to base 11\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -59*y + 3*x - 8, 5*y = 4*x + 20. Suppose y*u + 22 = 3*w, -2*u - 5 = 3*w - 3. Solve -5*a + 25 = -w*a - 5*f, 3*f = -15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18960 not equal to 18026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-30) + (0 - 43). Let w be 362\/(-6)*(-42)\/(-56). Let h = q - w. Is 0 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*t = -90*t. Are t and -2\/23423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63)\/(-1*sqrt(7)) - sqrt(9)) + sqrt(9))*5)\/(sqrt(36)\/(sqrt(768)*5)).\nAnswer: -200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3379 + -2?\nAnswer: a3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353 or 3467?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a02 (base 11) in base 10?\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 45 = 57. Suppose -5*l - 3*i + 75 = 0, -4*i = -x*l - 7*i + 39. Calculate the lowest common multiple of l and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70034)\/(-18) + 1313\/117 + -11?\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*s + 3, 3*q + 2*q = 2*s + 7. Let d = s - -5. Let m = -3 - -5. Solve -m*u - d = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 v when four letters picked without replacement from {e: 1, s: 4, z: 3, a: 2, x: 3, v: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 5*q**2 + 6*q. Let b(n) = 5*n**3 - 11*n**2 + 13*n. Let l(w) = 3*b(w) - 7*x(w). Let o be l(-3). Suppose o*k - k = -329. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = k, -i = -4*k + 36 - 7. Let m(u) = 102*u - 13. Is m(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1120200?\nAnswer: -1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 71 - 16. Let y(a) = a**3 + 15*a**2 + 44*a + 6. What is the smallest common multiple of y(n) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -447*o + 25. Let w(i) = -446*i + 22. What is -7*w(h) + 6*x(h)?\nAnswer: 440*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 divided by 148?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 82.\nAnswer: 8036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 212 or -1.25586?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a factor of 340359255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34770 - -38075.3. Round j to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60 and -0.84.\nAnswer: -60.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liibbiddbeele. Give prob of sequence dl.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/(-48) - (-2)\/4) + -1 + 303. Calculate the greatest common factor of 1460 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 - 11. Let b(o) = 3*o**2 + 4. Let a(n) = 11*b(n) + 4*q(n). Let r(v) be the first derivative of 0*v**2 + 0*v - 2\/3*v**3 + 2. Calculate r(a(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 8*n + 2. Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 0, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a factor of 2013843846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/50)\/((-3)\/((-30)\/5)*-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -516.2 - -518.339. What is h rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 845510851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 24 = -j - 14, -6 = -3*n - 3*j. Solve 0 = f - 5*z + n*z + 5, 0 = 4*f - z + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l - 6 - 32*l + 9*l + 5 + l**2 + 10. What is b(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**3 + d - 3. Let m be i(-2). Suppose -21 + m = 2*g. What is the remainder when g is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 11*x**4 + 6*x**4 + x - 4*x**2 + 2*x**2 + 7*x**4 + 1 as h + v*x + r*x**4 + m*x**3 + q*x**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8 - i**2 - 8*i + 2*i - 4*i. Let k(p) = -p - 2. Let j be k(8). What is the least common multiple of 16 and c(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143382 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: Let p(l) = -2*l**3 - 10*l**2 + 16*l + 67. Calculate p(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-18))\/((-17)\/357*-14))\/(4\/244)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1170.308 - 3.308. Are -1\/2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 6*v + 1. Let c be h(-5). Suppose 2*o + 160 = c*o. Suppose -o = -4*k - 0*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 127764 and 0.2.\nAnswer: 127764.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-364) + (-86262402)\/(-28). What is z rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478164 is divided by 4771?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032933817 rounded to four decimal places?\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -48, -2, -9, -7.\nAnswer: -48, -9, -7, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01084813702 rounded to seven dps?\nAnswer: -0.0108481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/6*(5 + (-8 - -5)). Solve h + 11 = -v*a, -4*h - 4 = 5*a + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 - 2*a + 4. Suppose 0*b = 2*b + 2. Let x be (2\/(-4))\/(6\/(-12)). Let y be x*b*(-8)\/(-2). What is i(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 46, 92, 122, 130, 110, 56?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 + 24*l - 70\/3 = 0 for l.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/3 of a year?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(5 + (sqrt(7) + 2 - sqrt(7))**2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0*j**4 + 1\/35*j**7 + j**2 + 0 + 0*j**6 + 0*j**5 - 5\/6*j**3 + 0*j. Find the first derivative of o(r) wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*r**2 - 112225\/4 - 335\/2*r.\nAnswer: -(r + 335)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5279153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -120. Are -12 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294305 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - (-76)\/3. Suppose -2*y + u = 4. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -2*h**5\/5 + 91*h**4\/4 + 147*h**2\/2 + 492. What is the second derivative of b(i) wrt i?\nAnswer: -24*i**2 + 546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1702 in 4\/5, -3, 2, -0.18, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38414.\nAnswer: 2, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 889*l + 161572. Calculate c(-181).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, c: 2, s: 1, y: 2}. Give prob of sequence yacy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -10211101?\nAnswer: 10211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 495?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - d + d - 5*d + 3*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joqjqqqjeqqeejj. What is prob of sequence oe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v. Let j be 30\/5*2\/3. Suppose 4*n = j*t - 16, n - 6 = -2*t + 2*n. Let c(k) = -2*k**2 + 1 - 1 + k**t. Calculate u(c(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-22) - 1 - (-1968)\/(-10098). What is the closest to 2 in 3, -3\/4, -5\/3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 9. Let g = -13 + 11. Let o(d) = 2*d + 10. Let n(v) = g*x(v) - 3*o(v). What is the tens digit of n(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*j + 16*j + 3*j**3)*(11 + 6 + 382*j - 380*j) to z*j**2 + x + d*j**4 + n*j + i*j**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p)**(8\/17)*p**(-2\/33)\/p**6 assuming p is positive.\nAnswer: p**(-3664\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 23 = -i, 3*b + 7 = -3*i + 31. Let j = -1 + 12. Suppose 3*a - 3*z - 55 = -2*a, -j = -a + 4*z. Calculate the greatest common factor of i and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(931) + -1 + sqrt(931) + (sqrt(114) + 2*sqrt(114))\/sqrt(6) - (sqrt(475) + (-3*sqrt(475)*-1)**2)).\nAnswer: -36*sqrt(19) + 12828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = 0. Suppose -2*y - 3 + 9 = z. Let q be (-4)\/6 + 250\/15. Solve 4*d = q, -5 = t + d - y*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44043 (base 5) to base 3\nAnswer: -11010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (828 - 874) + (66 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.3327 microseconds in nanoseconds?\nAnswer: 247332.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 - 29*b + 7. Let h be k(-4). Let s(t) = t**3 - 11*t**2 + 3*t - 15. Let y be s(h). Solve -5*a = -4*n - 3, 3*a + 0*n - y = -3*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 42 = 48. Suppose -2*i + 0*v = v - g, -i = -v - 9. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5\/13 + 142*q**4\/13 - 386*q**3\/13 - 212*q**2\/13 + 616*q\/13 + 304\/13 = 0.\nAnswer: -38, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 - 2 = 0, b - 7 = 4*g. Let z(m) = -m**2. Let u be z(b). Sort 1, 3, u.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 649.4 + -653.209. What is n rounded to 1 dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 155*q**2. Let t(y) = -1782*y. What is t(m(p))?\nAnswer: -276210*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.036 + 0.019. Let d = -0.017026 - r. What is d rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 7*n + 7. Suppose -2*y + 2*l = 14, 4*y - 4*l + 2*l + 30 = 0. What is c(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-260*r - 301*r + 144*r)*(-4*r**2 + 0*r**2 + 5*r**2).\nAnswer: -417*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 + 1364. Suppose -3*w - 880 - f = 0. Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q - 49\/30*q**6 - 19\/6*q**4 - 3*q**2 - 1 - 2\/3*q**3 - 32\/105*q**7 - 17\/5*q**5. Factor f(i).\nAnswer: -4*(i + 1)**3*(16*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 3. Let s(z) = 7*z**2 + 8*z - 2. Let n(c) = -8*c**2 - 10*c + 3. Let f(y) = 4*n(y) + 5*s(y). Determine -3*f(x) - 2*p(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 163*w**2 + 81 - 162*w**2 - 7. Let j(g) = -2*g. Give j(t(a)).\nAnswer: -2*a**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18562755 (base 9) in base 14?\nAnswer: 135d223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -11*l - 136. Let p be l*(-5 + (637\/10)\/13). Find g such that -2\/5 - 2\/5*g - p*g**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(2 + sqrt(11)) - (sqrt(121)*-2)\/sqrt(11) - ((sqrt(99) + 1*sqrt(99))*3)\/(sqrt(441)*2))**2.\nAnswer: 200*sqrt(11)\/7 + 7659\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/60 - 4*a**5\/15 - 7*a**4\/12 - a**3\/2 - 68*a**2. Is v(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1666018 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 79*-3.3\nAnswer: -260.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5*(-5)\/2. Let n be u*(-2 - (-1)\/2). Solve 15 = -3*q + 3*o, 19 = -2*q + 2*o + n*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*c - 2, 42*j - 16 = 39*j - 5*c. Solve -5*m - 22 = d - j*d, 2*m = -10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 39 = -3*f, 4*r - 72 + 0 = -5*f. Suppose -f = -14*d + 10*d. Solve 7 = -d*c - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.06*-3.\nAnswer: -27.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, o: 4}. Give prob of sequence hooh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 483*m**2*o - 2060*m**2 + 4*m*o - 2*m - 122 wrt m?\nAnswer: 966*o - 4120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45188392 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*l - 6 = 0, 2*c = -c + 4*l + 18. Let s(k) = -2*k**2 + 15*k + 5. Let n be s(7). Find the common denominator of (-963)\/n*c\/(-27) and 3\/106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 19. Suppose -23 = -5*l - 2*g, 1 = -3*g - k. Suppose -2*b = 2*y - 422, 242 = 4*y - l*b - 602. Is 46 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 13*a + 1. Suppose -2*n - 9 = -5*n. Calculate the least common multiple of n and m(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 1\/1008*w**8 - w**2 + 1\/70*w**7 + 0*w - 1\/3*w**5 + 14 - 32\/3*w**3 - 28\/9*w**4 + 2\/45*w**6. Let u(s) = 0. What is s?\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 892 - 368. Suppose 4*u + 0*u - y = 0. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5082)*1 + sqrt(5082))\/(sqrt(72)\/(sqrt(12)*2)).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/14 - 2\/7. Let d(t) = 2*t - 2*t + 5*t**2 + 3 + 2*t - 6*t**2. Let a be d(3). Which is greater: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose 3*y = 9 + n. Let d = 8 + -8.1. Which is the closest to d? (a) y (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 + l - 7. Let r be u(5). Suppose 0 = -5*f + 2*f. Let h = 5 + f. Solve -g + r = -h*y, g + 4*g - 11 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*s, 3*g = 2*g + 4*s. Which is smaller: -2.6 or g?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109396 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.810039ml in litres?\nAnswer: 0.003810039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.5731 to 0 decimal places.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**3 + 8*v**3 + 7*v + 4*v**3 + 4*v**3 wrt v?\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 18. Solve s = -3*l + 6*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10675)\/(-14875) - 3\/5.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/20 + f**4\/2 - 7*f**3\/6 - 6*f**2 + 2*f. Is 15 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1036 + -366. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*t + 10, 2 = -m + 2*t - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:48 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*h = 645, -12 = -a - h - 133. Let o be (4\/12 - 0)\/((-2)\/a). List the prime factors of (45\/(-4))\/(o\/(-336)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45014 - -45016. Let f = -2.32 - -2. Let l = -0.02 - f. What is the biggest value in d, l, 4\/9, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -575, -956, -1359, -1790, -2255, -2760, -3311?\nAnswer: -3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6271070 and 40?\nAnswer: 25084280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 65, 73, 81?\n\"Answer: 8*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3309854 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a*a**8)*a**(3\/5)*a\/(a\/(a**(-5)\/a)*a)*a**(2\/5)*a*((a**(-5))**(23\/5))**(2\/37) assuming a is positive.\nAnswer: a**(-490\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007300 rounded to the nearest ten thousand?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 0*i**2 - 4*i + 3*i**2 - 2*i**2 + 2*i. What is the units digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3777655?\nAnswer: 5, 7, 17, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/75412 and 38\/8041?\nAnswer: 35669876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.98 - 27. What is the third smallest value in -5, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.4579094 to two dps.\nAnswer: 96.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - m - 2. Let g(u) = -7*u**3 + u**2 + 3*u + 5. Let z be (-3)\/(-12) - 6\/(-8). Let x be -1 + 3 + z + 2. Calculate x*v(n) + 2*g(n).\nAnswer: n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 520 (c) 0.3 (d) 0.1 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*-5*(sqrt(500) - 1*sqrt(500))**2*-6 - (-3*(1 + sqrt(500)*-1 + -5))**2).\nAnswer: -4649 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1\/24*a**4 + 0*a + 0 + 15*a**2 + 0*a**3. Let z(r) = -3*r**2 - 21. Determine z(i(w)).\nAnswer: -3*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66752 < 65152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21980.7 rounded to the nearest one hundred?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-31115)\/2667*(-108)\/21\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -90537*j + 362125. Calculate w(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1240\/(-2))\/((-1)\/1) - 0. Let p = o - 421. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -35. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((4\/4)\/((-20)\/75)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13103332 (base 4) to base 3.\nAnswer: 1112002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24317 - 6552. Is q a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*n**2 - 104*n**2 + 59*n**2)*(2*n**2 - 4*n**2 + 0*n**2) to m*n + z*n**2 + f*n**4 + w*n**3 + s and give f.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwhwhoowwhowhww. Give prob of sequence oww.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001604318022 to 7 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.153*56.\nAnswer: 8.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 187. Let b = m + -152. Which is smaller: b or -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -36278 less than or equal to -72553\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -610335 (base 7) in base 3?\nAnswer: -12020212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3386481, -6772960, -10159439, -13545918, -16932397?\nAnswer: -20318876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269700*y**3 + y**2 - 542304 wrt y?\nAnswer: -809100*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2026, 251, 1, 4, -4.\nAnswer: -2026, -4, 1, 4, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, l: 3}. What is prob of sequence ala?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-7)\/(-1)) + 102\/(-34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 22*p - 14. Let j be x(7). Suppose -4 = -k - 0. What is the second derivative of 77 - j + 6*v - v**k wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759293.4 years in decades?\nAnswer: 75929.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.161?\nAnswer: 0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*f = 4*s - 9308, 5*s + 5*f - 46450 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 2085265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6192181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from hrhcrpcph.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -240?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 51*c**4\/4 - 82*c**3 + 159*c**2\/2 + 36*c - 2706. Factor m(u).\nAnswer: 3*(u - 4)*(u - 1)*(17*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -13, -24, -37, -52, -69?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h + 8, s = -5*h + 30. Calculate the highest common divisor of s and 800.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*c**2 + 8 - 19 + 11.\nAnswer: 103*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3646885.\nAnswer: 5, 11, 61, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -74, 22 in decreasing order.\nAnswer: 22, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (439*x - 4 + 19*x**2 - 439*x)*(2*x - 5*x + 5*x) to the form m*x**2 + k + b*x + v*x**3 and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 17, o: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6153442196 to the power of 1\/3, to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 99. Suppose -3*i + 7 = -8. Let a = -488 - -492. Sort a, s, i.\nAnswer: s, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*r + 33323 = -2250*r - 985 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12)\/(-4*(-45)\/48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from eqdpj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4 (b) 3\/5 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, 2\/77, -5?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/282 and 67\/8.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, 112, 371, 724, 1165, 1688, 2287, 2956?\nAnswer: 3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044561789 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: Let d(f) = -7784*f + 7747. Determine d(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 8, -0.2, 49331\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/g**(-2\/21))\/g)\/g**(1\/2))**(6\/19) assuming g is positive.\nAnswer: g**(67\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2 - 2. Let o(d) = 2*d**2 - 2*d. Let i be o(b). Suppose 0*j + 2*h = -4*j + 24, 0 = 2*j - 5*h. Solve 5*s - j*z = 40, 4 + 13 = s - i*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 10:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(9) + sqrt(45)\/sqrt(5)))\/sqrt(7).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-480))\/((3\/6)\/(50\/4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*y + 430 - 956 + 6037 = 0 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/14)\/(9\/(-60)). Suppose -5*s = g, -h = 4*s - s - 69. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336 - 171 - 280*p - 167)*(p**3 - 2 + 2).\nAnswer: -280*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/18 + (-6)\/27. Suppose 3*i = g*s + 16, -2*i + i + 4*s + 22 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/((-4)\/18). Let v be (-5)\/2*(-2 + 0). Suppose -2*g - t + 46 = c*t, 3*t + 50 = v*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*126\/(-54).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2656 * 0.23.\nAnswer: 0.291088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 65384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 4*v. Let j be a(2). Suppose -j*y = -9*y - 5*d + 25, 3*y - 5*d = 7. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 445*r**2 + 395*r**2 - 32 to u + a*r**2 + m*r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 199? (a) 0.1 (b) 4 (c) -1\/3 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*x + 38. Solve -x*p - 9 = 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 - 4984*o**2 + 850512*o - 34119072 = 0.\nAnswer: -1402, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3551, 14217, 31993, 56879, 88875, 127981?\nAnswer: 174197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:04 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2*j + 6. Let a be 2 - (2\/(-1) + 2). Suppose 8 = 4*w - a*w. Does 14 divide y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 6 - -63) + (3 - 5)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178015 is divided by 767.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/116 + (-3)\/(-12). Let z = 361\/870 - h. Let a = z - 21\/20. What is the nearest to 1 in a, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 3, q: 2, s: 11}. Give prob of picking 2 q, 1 l, and 1 r.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*j + 33 = 0, -2*l - 6 = 2*j - 42. What is the remainder when 63 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 3*s + 39. Let l be g(-5). Suppose 0 = -2*x + x - 47. Is x bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 11*w - 175. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 851 (b) -7328 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let q be 2\/(1*(-1 + d)). What are the prime factors of (7 - (2 + -3)) + q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Let i be 321\/11 - 726\/3993. Solve 3*g - 6*g + w = -4*l, -i = -4*g - 3*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10) + (-7 - -3) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -1.5. Which is the closest to j? (a) 0 (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022432 + 0.3?\nAnswer: 0.277568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1394*b**2 - 414*b**2 + 1382*b**2)*(-b + 4*b - 4*b) to the form q*b**3 + w*b + t*b**2 + d and give q.\nAnswer: -2362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -a - 2, 6*k + 2 = 7*k. Suppose b + 8*u - 9*u - 48 = 0, 0 = a*b + 5*u - 210. Let t(n) = 3*n + 3. What is the remainder when b is divided by t(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -8, 0 in decreasing order.\nAnswer: 2\/3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 4*o - 2*o + 2*o - 3 + 3 + (-2*o - 3*o + 3*o)*(3 - 3 - 1) - o - 8*o + 2*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-18))**(-29))**(3\/23) assuming r is positive.\nAnswer: r**(-1653\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.187479 - 2.29749. Let o = 0.11 + u. Round o to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18511 and 3807211.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*q - x, 3*q - 3*x + 2*x - 58 = 0. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Let q(k) = -k**2 - 5*k - 1. Let r be q(-2). Calculate the highest common factor of r and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-3))\/((-10)\/(-2220)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - y + 6. Let v(i) = -2*i**3 + 11*i**2 + 18*i - 37. Give 6*j(k) + v(k).\nAnswer: -2*k**3 - k**2 + 12*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4847 - -8002. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 80, 121, 162, 203, 244?\n\"Answer: 41*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*d - 7 + 27, 35 = 5*f - d. Let l be (4\/f)\/((-5)\/(-30)). Suppose -z - z + 3*n = 0, n + l = 2*z. Let o(r) = r - 4. Calculate o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 21\/9 + -627*(-8)\/72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104600 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 19*j - 117. What is the tens digit of t(38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 5, n: 3, k: 1, b: 3}. Give prob of sequence bb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -28 + (-21 - -12) + 33.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24416 and 11956.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -642*i - 107. What are the prime factors of m(-5)?\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 927264*u - 3715. Let s(h) = 749*h - 3. Calculate -3*n(k) + 3715*s(k).\nAnswer: 743*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:29 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (8 + 22 - 13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937662297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**2 + 20*p**2 + 79*p + 82*p - 159*p - 29*p**2.\nAnswer: -43*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334 - -225. Let x = 108 + u. Which is smaller: -2\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 24*r**2 - 95*r - 15. List the prime factors of q(-10).\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.009 (c) -5.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j = 135*j - 396270. Calculate the least common multiple of 3663 and j.\nAnswer: 25641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 - 190. Let b be (-5 - -5 - -27) + t. Which is greater: b or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -3 (c) -0.9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 32. Let v = -36 - o. Let l = -2.6 + 3. What is the closest to 2\/7 in v, -2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - s + 23, -4*s + 4 + 11 = v. Let g = 2 + -1. Let z = v + g. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 697715*h - 9278915 with respect to h.\nAnswer: -3*h**2 - 697715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Let q = 0.053 - 3.053. Let l = d + q. Which is smaller: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -16*l**2 + 2. Let b(p) = 15*p**2 - 3. Give 2*b(k) + 3*s(k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51519, 103072, 154643, 206232, 257839, 309464?\n\"Answer: 9*k**2 + 51526*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**2 - i - 6. What is the thousands digit of a(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + c + 5 = 8, -3*j = 2*c - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 44. Let a(n) = 12*n**c - 9*n**2 - 5*n**2. Let s(d) = 221*d + 65. Let v(l) = 20*l + 6. Let i(k) = -6*s(k) + 65*v(k). Determine i(a(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 36\/(-22))*(-1430)\/650. What is the closest to -11 in 4, r, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-6*(-5)\/765)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-7)\/3)*6. Let c be r\/3*(-5 - 1). Let p(k) = k**3 + 6*k**2 + 6*k. What is p(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 18*r + 3. Let t = 37 - 25. What are the prime factors of h(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 248, 1176, 2784, 5072, 8040, 11688, 16016?\n\"Answer: 340*r**2 - 92*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 3*k**3 + 0*k**3 + (2*k + k - k)*(4*k**2 - 4*k**2 - 3*k**2) + 62*k - 62*k - 71*k**3.\nAnswer: -76*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and 14380?\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2000) + 3*sqrt(2000)*1)*-3)\/((sqrt(3630) + (sqrt(3630) - sqrt(3630)*-2) + sqrt(3630))\/(sqrt(18)\/(sqrt(24)\/sqrt(4)))).\nAnswer: 72*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - 4 + 4 + (-145*c - 956*c - 713*c)*(4 - 4 + 1) as u + p*c and give p.\nAnswer: -1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = -2*y, -4*u = 2*y. Solve 3*r + y*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378198909 and 66?\nAnswer: 756397818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 257 - 129. What is h rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 1. Let j be x(1). Let d(h) = h**3 - 5*h + 2. Let a be d(3). Let f = a + -11. Sort f, 4, j in descending order.\nAnswer: 4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1424, -52, -53 in decreasing order.\nAnswer: 3, 0, -52, -53, -1424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1 + -4)*1)\/((-3)\/(-3)). Let j(f) = -9*f**3 - 4*f**2 + 7*f - 11. Is j(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 9*y**2 + 26*y - 149. Give r(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.1706104 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1652 - 2?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.03286ml?\nAnswer: 0.06803286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -6. Let b be s\/1*1*-25. Let r be 10\/b + (0 - 0). Sort -1\/2, -4\/7, r in increasing order.\nAnswer: -4\/7, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24939*a**4 - a**3 - 135*a**2 + 41909554*a?\nAnswer: 299268*a**2 - 6*a - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14403 + 52416?\nAnswer: 67021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 65\/(-10) - 8\/4. Let z = i + 47\/6. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 9. Let a be l(-10). Suppose -65*c = 7*c - 4*c. Sort c, 2, a, -3.\nAnswer: -3, a, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -47*a + 42. Let n(b) = -11*b + 9. Let m(z) = 17*n(z) - 4*x(z). Let q(w) = 3*w - 30. Determine -9*m(d) + 4*q(d).\nAnswer: 3*d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 11, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10263149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 2023, 4633, 8287, 12985, 18727, 25513?\nAnswer: 33343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156188 is divided by 398.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, -2, 14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10 = -2*q. Suppose -v - 2*o - q = 0, -4*o - 18 = v - 3. Let l be (1\/2)\/((-2)\/(-12)). Solve -l*d - 2*d = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1385 and 200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -683, -1339, -1983, -2609, -3211?\n\"Answer: r**3 - 663*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1127993*s + 11279937. What is y(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 11*g + 12. Let p(b) = b**2 - 10*b - 11. Let o(v) = -3*i(v) - 4*p(v). Let y be o(-3). Solve -y + 1 = -4*j + 4*a, -5*j + 25 = 5*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - u)*((-4*u + 2*u + 4*u)*(-3 + 1 - 3) + 6*u - u - 3*u - 22)*(8*u - 4*u - 15*u**2 + 17*u**2) as j*u + r*u**2 + p*u**3 + l + y*u**4 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 6368?\nAnswer: 413920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -912*x**2 - 11. Let q(d) = d - 6. Calculate u(q(j)).\nAnswer: -912*j**2 + 10944*j - 32843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-1))\/((-6)\/4). Suppose 3*s - l*s - 4 = 0. Suppose -h = -6*h - s*m + 28, -h - 2*m = -2. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -651736\/75 - -8689. What is the common denominator of i and 67\/105?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 10*c**2 + 10*c + 2. Let g be y(9). Let o(i) = 17*i + 24*i + 17*i - 12 + i**2 - 60*i. Is o(g) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 = 2*q + 7*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sghm when four letters picked without replacement from {m: 1, h: 2, s: 2, g: 6}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -357550 - 0.266?\nAnswer: -357550.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 67*j**2 + 10230*j + 751. What is i(-73)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 755\/6 - 119. Let d = -251\/42 + c. Factor -6\/7*f**2 + d*f**3 - 2\/7*f**4 + 2\/7*f + 0.\nAnswer: -2*f*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1941*h**5 - 3*h**3 - 30077*h**2?\nAnswer: 116460*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2624 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-168)*-21)\/((-2)\/4).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 6 - 12, 4*z = -5*x + 206. Differentiate -24*v**3 - 4*v**3 - v + z - 40 + 71 - v with respect to v.\nAnswer: -84*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 4*r**2 + r**2)*(-1416 - 1010 + 282 + 297).\nAnswer: -3694*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**3*t**2 + 11*r**3 - 4*r**2*t**2 + 79*t wrt t?\nAnswer: 6*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(4 + sqrt(4)\/sqrt(2)) + sqrt(8)\/sqrt(4)*-2 + sqrt(72))**2*4.\nAnswer: -1056 - 640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*54 + ((-10)\/(-2) - 2). Calculate the smallest common multiple of 59 and 24\/20*(-340)\/c.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:27 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 24*r + 74. Let v be m(14). Solve 29*h + v = 23*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6013240?\nAnswer: 2, 5, 17, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5472832 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 23*s**3 + 10*s**2 - 22*s. Let r(z) = -50*z**3 - 21*z**2 + 44*z. Calculate -6*r(k) - 13*y(k).\nAnswer: k**3 - 4*k**2 + 22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**2 - i**2 - i**2)*(-1 - 3 + 1) + i**2 - 4*i**2 + 4*i**2 + 228*i**2 - 19*i + 22*i - 5*i to the form g*i + h*i**2 + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831018?\nAnswer: 2, 3, 43, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, -3, 38430 in decreasing order.\nAnswer: 38430, 169, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3862 + -3126. What is the highest common factor of 1702 and t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81161871 and 15?\nAnswer: 405809355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 3003 = -39*p. Let z = 1982 - p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 + 99*k - 28. Let q(u) = -3*u**2 - 50*u + 13. Let s(b) = 3*m(b) + 5*q(b). Let x be s(-16). What is the third biggest value in -5, 0.2, -2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6814 - -6945. Calculate the remainder when 388 is divided by o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - -4*(2*sqrt(120) + sqrt(120)))\/(sqrt(90)\/(2*sqrt(9))))**2.\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 + (-30)\/21 + 100\/(-28) + 4 and 15187?\nAnswer: 121496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 47*s**2 + 4*s - 8. Let f(q) = 1740*q**2 + 150*q - 300. Let w(l) = -4*f(l) + 150*x(l). Let d(j) = j. Calculate w(d(m)).\nAnswer: 90*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - g - 2. Let f be j(2). Let w = -2 + f. Let x = w + 3. Put -0.4, x, -1 in descending order.\nAnswer: -0.4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -4, 5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:14 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 314\/319 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -13205760?\nAnswer: 1\/4401920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1992, 3659, 5324, 6987, 8648?\nAnswer: 10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 - p + 1. Let u be f(1). Suppose 35 = -2*d + u*d. Let j = d - 1. What is the highest common factor of j and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 47. Suppose 0 = 4*s - 4*w - 544, -4*s + 3*w + 546 = -0*s. Calculate the greatest common factor of k and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.67 - -0.94. Let f = -0.97 + 1. Let x = f + k. Which is the third smallest value? (a) 5 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295 - 293.808. What is t rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25425824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1313844.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141730044059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*j - 15, 0 = -0*j + 3*j - 2*x + 10. Solve 2 = -g + 2*f, 5*g + 3*f = -j*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25874, 51370, 76864, 102356?\n\"Answer: -p**2 + 25499*p + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -36. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 6*b - 6. What is the units digit of s(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 7532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - 4*w, -7*u + 9*u - 4*w = -12. Let j(f) = f**3 + f**2 + 30. Give j(u).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -33*k - 304. Let x be z(-9). Let t(i) = 3*i**2 + 5*i + 6. Let h(m) = 2*m**2 + 5*m + 5. Give x*h(f) + 6*t(f).\nAnswer: 4*f**2 - 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1303381327\/300 - 4344600. Let i be -4*(3 + -1) + 612\/75. Let a = i + n. Find the common denominator of -19\/30 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 1156.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333304704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20275 divided by -4055\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = -15. Suppose 4*h + 219 = 239. Sort p, h, -1 in descending order.\nAnswer: h, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**3 - 30*o**2 + 19*o - 16. Is i(-11) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 3:22 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*f + 838 = 720*f - 14212 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25247 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3520\/990 - 4\/(-9) - -4)*6\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**5 + 68*m**4\/3 - 214*m**3\/3 - 1144*m**2\/3 - 344*m + 96 = 0.\nAnswer: -3, -2, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, 0.3, 24, -4, -4.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-25))\/(4\/(-2))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6*n - 148*d**4*n**2 + 4*d**2*n**2 + 17*d**2 + 2*d wrt d.\nAnswer: -240*d**3*n - 3552*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 - 14*j**2\/9 + 28*j\/9 - 16\/9.\nAnswer: 2*(j - 4)*(j - 2)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -221?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35855*z - 100505*z - 109374*z.\nAnswer: -245734*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -2*z + 461. Suppose -v - 6*v = -z. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let p be o(-4). Suppose -6 - p = 2*t + 3*g, -g + 4 = 0. Let b = t - -11. Solve -4*d - 2*z = b, 3*d + 6 - 24 = 3*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 5*r - 3*r)*(-r**3 + 3*r**3 - 3*r**3) + 4*r**4 + 0*r**4 + 3*r**4 + (4*r - 2*r - r)*(-2*r**3 + 0*r**3 - r**3).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 68 = -2*h, q + 5*h + 56 = 4*q. Let b be ((-110)\/4)\/(-5)*q. Suppose -b = 3*c - 6*c. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 873*x - 27340 + 27340 + (3 + 2 - 3)*(7*x - 3*x - 2*x) in the form d + r*x and give r.\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44637.9 rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20465\/18436 - -3\/838. Find the common denominator of 2 - 14\/36*-5 and o.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 72 = 3*v. Suppose q - r = -v + 77, -5*q = -3*r - 248. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478998.\nAnswer: 2, 19, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 107 = 3*x - 627, 0 = k + x - 129. What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from putimmpy. What is prob of picking 1 p and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35\/72 - -1\/72. Which is the nearest to x? (a) 0.4 (b) 11 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 + b - 2. Let h be z(-3). Let f = -17 - h. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**5 + f + 5. Differentiate z(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4025\/(-2254)*4\/10.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - (6 + -1 - (2 - (-56 - -48))) - 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*l + 18, 2*l - 5 = 1. Let x be -4*(-3 + a\/(-6)). Factor 1\/3 + 7\/2*h**2 + 2\/3*h**x - 11\/6*h - 8\/3*h**3.\nAnswer: (h - 2)*(h - 1)*(2*h - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 10:35 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 15 = 0. Suppose -32 = 364*t - 380*t. Suppose 40 = 278*u - 270*u. Solve -y*q + t*q = u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2747 is divided by 172.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*j**2 + 9041*j**3 + 82 - 14 + 28*j**2 + 75*j - 13*j**2 wrt j.\nAnswer: 54246*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-2))\/(-7)*102\/(-85)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(-364)*-19 + (-2 + 3)\/(-4). Factor -c*i**3 + 0*i**2 + 12\/7*i + 0.\nAnswer: -3*i*(i - 2)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 31*n**2 - 24*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30322, -60655, -90988, -121321, -151654?\n\"Answer: -30333*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -174 + 30 + 113 - 6*c - 351. Let m(s) = 3*s + 153. Let i(p) = -12*m(p) - 5*n(p). What is the first derivative of i(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1026 * 1601.8.\nAnswer: 1643446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755296941.\nAnswer: 1755296941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22742509 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 8:51 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/816 and 29\/44764.\nAnswer: 9131856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*i = -16, 9*i - 4*i + 23 = -s. Let c(d) = 3*d - 1. Let m be c(3). Let x(n) = n**2 - 7*n + 4. Calculate the lowest common multiple of s and x(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 84 = 25*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/20 + g**4\/4 - g**3\/6 - 2*g**2 - 12*g. Determine m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -14. Let x(i) = 81*i + 15. Let r be x(c). Suppose -4*g + 3*g + 5 = 0, -3*g = -3*l + r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.5649 + 46.22. Round k to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622302 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 127. Let l = h + 108. Calculate the smallest common multiple of 20 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = n + 295, 3*i + 67 = 4*i + 2*n. Suppose -68*j = -i*j + 630. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**2 + 8*p - 8. Suppose -c + 4*t + 4 = 2*t, -c + 3*t = -4. Let g be (-2 + c\/4)*-1. Let a(v) = -v**2 + v - 1. Give g*w(u) - 6*a(u).\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -k - 14, 0 + 2 = 2*k. Let y be 1\/u + 34\/3. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/35)\/(206\/1030)*7\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c - 5. What is i(11)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - 20*d**3 - 1359*d - 1411*d + 4138*d - 1368*d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-48)\/20)*-15. Let a be p\/(-10)*(-8)\/12. What is the third smallest value in -0.1, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125317 is divided by 819.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/370435469 or 0?\nAnswer: -2\/370435469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(10998\/(-54)))\/((-3)\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = p - 5*l + 10*l, 0 = -3*p - l + 96. Let v(t) = 5*t**2 + 0*t**2 - t**3 + 37*t - p*t - 4 + 0. Give v(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*m + 16. Suppose m = 4*t - g, -5*t - 4*g = -0*g + 25. Sort -65, 1, t, -5 in decreasing order.\nAnswer: 1, t, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r**(-1\/2) assuming r is positive.\nAnswer: r**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -38. Suppose 0 = 5*y - s - n, 2 = 2*y - 2*s - 10. Solve y*k - 5*i - 27 = k, 0 = 3*i + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77367204 is divided by 231?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/((-20832)\/36))\/(15\/10).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2895908 divided by -2\nAnswer: 1447954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13520985, 27041968, 40562951?\n\"Answer: 13520983*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -54639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d**4 - 12*d + 4. Let k(b) = 43*b**4 + 24*b - 10. Let t(j) = -2*k(j) - 5*m(j). What is the second derivative of t(a) wrt a?\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, 28, 176, 324, 472, 620?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6061527393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/5, 2, -117619 in decreasing order.\nAnswer: 2, -18\/5, -117619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 23678, 116, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13116744919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4) - (-77)\/20)*-90. Let t be (1\/2 - -2)*(p - 16). What is t rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 10*a**2 + 11*a + 4. Let r be x(11). Solve -3 = r*p - 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 101*d\/4.\nAnswer: -d*(d - 101)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 + -192 + -15 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f - 1\/2*f**2 - 1\/3*f**3 + 1. Determine j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 + 84\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 68 = 6*p. Let q = -2 - p. List the prime factors of 252\/q*40\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + 3 + 1\/1 + 1014 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 8 = 0, -k - 4*k - 32 = 3*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -d + 120. Let r(s) = 3*s**2 - 2*s - 6. Let l(o) = -2*o**2 + 2*o + 6. Calculate d*r(j) - 5*l(j).\nAnswer: -2*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107 and -0.5.\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*v - 64 - 5*v**2 + 126*v + v**2.\nAnswer: -4*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 17*a**2 - a + 7. Give j(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f**2 + 74 + 23*f**3 + 60 - 7*f**3 - 134.\nAnswer: 16*f**3 - 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475 (base 12) to base 4.\nAnswer: 22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -8, 12*x - 5*b = 14*x + 10. Let i(m) = 2*m + 33. Let v be i(x). Factor -14*k**3 - 90*k + 69*k**2 - 22 - k**3 + v*k**3 - 5.\nAnswer: -3*(k - 3)**2*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2294*r + 1091*r + 103458 for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.33 + 16.77. Let v = u + -19. Let k be 2*(-1)\/(-12)*2. Which is the closest to k? (a) 0.5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04563? (a) -1\/2 (b) -2 (c) 0.2 (d) 0 (e) 235 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 4*f + 2, -2*f = 2*y - 1589 + 1595 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 792 and 14058?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718765629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5880 and 840?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + -2 + -1 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992214089 to the power of 1\/2, to the nearest integer?\nAnswer: 54701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -11*q**5\/12 + q**4\/24 - 121*q**2. Let p(s) be the third derivative of s**5\/60 - 3*s**2. Give p(f(z)).\nAnswer: 3025*z**4 - 110*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g. Let p(n) = 10*n. Let l(k) = -k. Let m(r) = -44*l(r) - 4*p(r). Determine m(h(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuyueuyfuefzenuuuf. Give prob of sequence fzuu.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 13. Let u be z(6). Suppose 3 = 4*t - u. Solve 5*b - 30 = t*s - 0, b = -2*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 12255?\nAnswer: 110295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*r - 4*d, 2*r - 3716*d - 2 = -3714*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*n, 25*t + 4*n - 14 = 26*t. Calculate the remainder when 708 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 5*z - u, -z = -4*u - 20 - 3. Let m = -16 + z. What is the remainder when 79 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(2\/9))**(1\/33))**(-33) assuming b is positive.\nAnswer: b**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 3)*(f**2 + 2*f - 2*f) - f**2 + 1 - 1 + 5*f**2 - 32*f**2 - 29*f**2)*(-14*f + 3 + 13*f + 16).\nAnswer: 55*f**3 - 1045*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 65, 77, 105, 155?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 7. Let w be z(-6). Let j = -23 - -25. Suppose -t = -6*t. Put j, t, w in ascending order.\nAnswer: w, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2264\/13 - -174. Let w = 245.8 - 246. What is the third biggest value in 0, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 45*b**2 + 5. Let l(y) = 38996*y + 18. Give l(s(v)).\nAnswer: 1754820*v**2 + 194998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -264.06995?\nAnswer: 1056.2798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6146 and 7024?\nAnswer: 49168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a02021 (base 11) to base 16.\nAnswer: 84be2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -829*m - 4. What is the thousands digit of a(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030432 (base 10) to base 2\nAnswer: 11111011100100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/15 + 2*i**4\/3 - 31*i**2. Factor f(l).\nAnswer: 4*l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 457*t**2 + 9*t - 27. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -647 - -735. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/121)\/((-12)\/(-102) - (-432)\/(-2805)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 17 = -19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 - 6666804.\nAnswer: -6666833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -897 minus 47749451220?\nAnswer: -47749452117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -118, -69, 18, 155, 354, 627?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.2 + 25.31. Let c = -9 + z. What is the second biggest value in -2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:02 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1, 5, 2, 4, 5844, -2 in decreasing order.\nAnswer: 5844, 5, 4, 2, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 + 60*i**2 - 252*i + 196 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -3, -137?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -82*p**7\/7 - 218*p**4\/3 + 1434*p. What is the third derivative of l(t) wrt t?\nAnswer: -29520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4 - 1960*c**3 - 131546*c**2 + 133504*c = 0?\nAnswer: -64, 0, 1, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 7*i - 3. Let b be x(-5). Suppose b*t = -2053 + 4944. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132.188 and -1.4.\nAnswer: 185.0632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (-3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.83428 weeks in hours?\nAnswer: 1484.15904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m - 0*m, 5*m - 980 = -5*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 225, 528, 941, 1518, 2313, 3380?\n\"Answer: 9*r**3 + r**2 + 237*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509589*q**2 - 3019181*q**2 + 1509593*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seeykleessee. Give prob of sequence eyk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 7 - 134*u + 10 + 133*u - 4 + 56*u**3 as s + w*u**2 + o*u**3 + f*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1066.05 - -1066.1. Which is the biggest value? (a) l (b) 4 (c) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 365*z**2 - 323*z**2 + 665*z**2 + 0.\nAnswer: -23*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6350643?\nAnswer: 3, 13, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 26367392*p - 26367388.\nAnswer: -4*(p + 1)*(p + 6591847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286406 divided by 14454?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*(-3)\/6. Let d = 5\/4 - q. What is the closest to d in 3, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (58 + -59)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -862\/389 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1071 + 1083. Solve t - 31 = -19*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15648 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(300)*2*-1.\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.95 - 7.05. Which is the smallest value? (a) v (b) -0.02 (c) 1\/5 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llmm when four letters picked without replacement from lllllmlm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.2 (b) 4 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 865 = -8*k - 5*m, -5*k - 2*m = -856. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14 + 68*x - 23*x - 1 - 6*x**2 - 3. Let k be h(7). Which is the third biggest value? (a) 2\/13 (b) 2\/11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 5, f: 6}. Give prob of picking 1 v and 2 f.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 451153 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 190*c + 7 - 83\/3*c**3 + 0*c**2. What is the derivative of f(k) wrt k?\nAnswer: -166*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 296538\/13 - 22808. Solve 8\/13 - 10\/13*k**3 + a*k**2 - 32\/13*k = 0 for k.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssvcc. What is prob of sequence ccs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -28*t. Let n(j) = -20*j. Calculate v(n(s)).\nAnswer: 560*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 + 7*y**5 - 7*y**5 + (-94*y**2 - 104*y**2 - 12*y**2)*(-4*y**3 + 5*y**3 + y**3).\nAnswer: -423*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 29, 2\/11, -1\/2, 0.42, -0.02?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -9 - 5) + (1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40972665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1722408.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46647169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223 - -36. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63003108 and 1344.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 24 = 5*v. Suppose 5*h = 4*n + h - 36, 4*n - 29 = -3*h. What is the greatest common factor of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 52. Let z be 0\/(-1 + w + (10 - 5)). Suppose 2 = -z*q - q, -t = -q - 210. Round t to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3553 - 1772 - 1781 + 608*t + 16684*t)*(2 - 4 + 3).\nAnswer: 17292*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23947 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = 3. Suppose r = -3 + o. Sort -2, 1, r.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/6)*j)\/j**(-8))**5\/((j**(4\/3)\/j*j\/((j**3\/j)\/j))\/(j**(-1))**10) assuming j is positive.\nAnswer: j**(203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -760 (base 8) to base 12\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:50 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50650.\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -43227 >= -43214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32210.02 years?\nAnswer: 3221.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 5. Let a(s) = -s. Let w(r) = -2*r - 6. Let x(i) = -2*a(i) - w(i). Let n(o) = -6*u(o) + 5*x(o). Let t(j) = 27*j. Give t(n(g)).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 14*d - 48*d + 14*d + 2.\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16.83618672+5.139\nAnswer: -11.69718672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.043 (c) -3851\/3 (d) -2\/21 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 20 - x + 19*x - 4*x**2 + 75.\nAnswer: -4*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-3 + -1))\/(8\/(-8)). Suppose -3*c - c + 80 = p. Solve g - c = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**4 + 232*t**3 = 0.\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -32. Suppose 127 = 3*k - k + s*g, 3*g = 15. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/396, -1\/10, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1329*j**3 + 2*j**2 - 1. Let x be p(1). Suppose 4*h = -2*q + x, -h + 2*h - 664 = -q. List the prime factors of q.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/3)*u)\/u)\/u)**(12\/19)*(u\/(u\/((u*u**(-4\/3))\/u)))\/(u**(-4\/7)\/u)*((u\/u**8*u)\/(u\/(u*u*u**(-3\/5)*u*u)))**(-1\/3) assuming u is positive.\nAnswer: u**(2029\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:47 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -11913 and -1.\nAnswer: -11914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.5, -5, -1, -4, -1.42?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*j - 4*j + 3*j)*(3*j - 5*j + j) + (-1 + 3*j + 1)*(2*j - j + 0*j))*(-5 - 15 + 3)*(0 - 1 - 4) as d + o*j + f*j**2 and give f.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 321.1 + -308. Let u = 0 + 1.3. Let c = b - u. Round c to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 449, 1774, 3981, 7070?\n\"Answer: 441*x**2 + 2*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*w**6 + 305*w**5 - 2*w**2 - 8*w - 84 wrt w.\nAnswer: 2280*w**3 + 18300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/8)*r*r)\/(r\/r**(-8))*r\/((r*r\/(r\/(r**(-6)\/r))*r)\/r)*r*r\/(r\/r**(-9)) assuming r is positive.\nAnswer: r**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 226 and 1075?\nAnswer: 242950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 - 36 = 2*a, 4*x - 113 = -5*a. Suppose x + 18 = 5*j. What is the least common multiple of j and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19825 = 4*k - 2703. Suppose -11*c + k = -12309. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from kmzmmmmmmkmkmmmkk?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2100688159 to the nearest integer?\nAnswer: 45833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - 3) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 17*v = 16*v - 2, 3*q = 4*v + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11521, -11581, -11639, -11695, -11749, -11801, -11851?\n\"Answer: c**2 - 63*c - 11459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 5. Let m be g(-15). Let s = -10 - m. What are the prime factors of 40 - (s + -1) - -4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 13\/4, 5, -4\/9, 2, 1\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (4 + sqrt(1584) + 0 + sqrt(1584))**2)*6.\nAnswer: -38112 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4 + 1. Let v be i\/(-3)*9\/6. Which is the nearest to 1? (a) 4 (b) v (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -100516 and -0.37.\nAnswer: -100516.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.523 * -0.6.\nAnswer: -2.1138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**7\/840 - j**6\/60 - 3*j**5\/40 + j**4\/24 - 3*j**2. Let r(m) be the second derivative of i(m). Factor r(l).\nAnswer: -3*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.415 and -266.\nAnswer: -265.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 - 91. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 9 + 2 + 0 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -3. Let x = l - 20.99999957. Round x to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-3 - 0) + 32. Is 21 a factor of 6 + -4 - -2*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.2, 22, -111\/8?\nAnswer: -111\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 13) in base 8?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -p - 46, 0*j = j - 4*p + 41. Let s = j - -16. Let l be (-1)\/3 - (-3)\/s. Which is the third smallest value? (a) -2 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408 by 20.\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2*t + 0)*(4 + 0 - 3).\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2*v + 4, 2*o + 568*v - 566*v - 22 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7600 - -7509. Let k be (-80)\/525 - (-2)\/7. What is the third biggest value in -3, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66300745.\nAnswer: 5, 7, 1894307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-26) - (-4 + 216\/52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3 + 2167*u**2 + 863691*u + 861525 = 0.\nAnswer: -1641, -525, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlxx when four letters picked without replacement from {l: 4, f: 1, x: 8}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1339, 2\/207, 5?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19405173 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 7*q + 6887 - 6950 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 7*n**2 + 10*n - 12. Let k be h(8). Let a(r) = -4*r - 14*r - r**3 - 19 - 12*r**2 + k*r. Does 13 divide a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 3*g**5 + 4*g**3 + 4756*g**5 - 132*g**2 - 109*g**2 + 241*g**2 + (g + 2*g**3 - g)*(-3*g**2 - 4*g**2 + 5*g**2).\nAnswer: 4755*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2122 + -2112. Solve 0 = -5*z - x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -3*q. Which is bigger: 25 or q?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -501 + 501.19. Let n = k - 0.29. What is the closest to 1 in 0.2, n, -0.33?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 72896*w. Let i(k) = 785*k. Give u(i(l)).\nAnswer: 57223360*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -1\/3, 0, 2\/11, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 14 + 8 + 6 + 0 - 3 - 2 - 2 + 3 + (-3 - 1 + 5)*(-1 - 2 + 1))*(5 + 1 - 2)*(-2*r**3 - 2*r**3 + 3*r**3) as v*r**2 + d + h*r + y*r**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f + 24. Determine o(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 24*b**2 + 12*b**2 - 35*b**2. Let g(q) = 25*q**2 + 4*q + 4. Let t(o) = -1624*o**2 - 261*o - 261. Let z(x) = 261*g(x) + 4*t(x). Give u(z(h)).\nAnswer: 841*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 75*c + 49893. Let l be t(264). Let w(i) be the third derivative of -i**6\/120 - i**5\/15 - i**4\/12 + i**3\/3 - i**2. Give w(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.7 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272191 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/13, -0.2, -3, -0.1009?\nAnswer: -0.1009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 < 422509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*4\/(-150)*-10. Suppose 3*j + 15 + 14 = 5*n, -11 = j - 2*n. What is the closest to -1 in j, 0.05, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 - -297. What is the biggest value in 0.2, m, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.29 - 0.39. Let w = 0.7 - k. Let r = w - -1.1999944. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1218*v - 191*v + 5135 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-356)\/72 + 4 + (-3)\/(-6). Put w, 0.1, 1.2, -0.2 in descending order.\nAnswer: 1.2, 0.1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*p - 60*p - 8. Does 10 divide p\/30*-12*(-175)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/89 (b) -231 (c) -0.04 (d) -3 (e) 1\/9 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0415373 centuries in millennia?\nAnswer: 0.00415373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 7 + 127 = -21*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -949 in decreasing order.\nAnswer: 1, -6, -949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -327.99987 - -328. What is v rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231214, 231213, 231212, 231211, 231210, 231209?\nAnswer: 231208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 122 + 3 = 0. Suppose 7*o = 4*o + 789. Suppose o = 3*z - 562. Calculate the highest common factor of j and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let b(x) be the second derivative of x**3\/3 + 11*x**2\/2 - 100*x. Calculate b(s(w)).\nAnswer: -2*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 6*k + 7. Let y be t(-5). Let z = 25 + -22. Let c(l) = l - z + 6*l - l. What is c(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 211498910 and -2.6947.\nAnswer: 211498907.3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 3501.669?\nAnswer: -700.3338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*r**4 - 4\/3 + 6*r**3 + 17\/3*r**2 + 0*r.\nAnswer: (r + 1)**2*(r + 2)*(5*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0.2 (c) 5\/6 (d) -3\/11 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1711957*g - 1711959*g = -3*v + 7, 0 = -3*g - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 40875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 42629519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.74 + 75. Let y = -0.8 - f. Let c = y - 3.84. What is c rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1724452*d**2\/7 - 431117*d\/7 + 1\/7.\nAnswer: (4*d - 1)*(431113*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.294\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 57, 116, 199, 306?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g*m**5 - g*m**3 + 2*g*m**2 - 38*g - 44*m**5 wrt m.\nAnswer: -360*g*m**2 - 6*g - 2640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 200*u + 742. Does 13 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 5\/7, -43, -1\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*k + 8, -5*y + 3*k = -0*k + 45. Let f be (-2 - -2 - y)\/(4 - 5). Let d = -3 - f. Solve -i - d*t - 1 = 1, 5*t = 5*i - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34883417\/20 + -1744795. Let h = p - -2525\/4. Let c = 20\/19 + 35\/57. Find the common denominator of c and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2372965 centimeters?\nAnswer: 0.002372965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37964 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -5*k**3\/6 - 5*k**2 - 5*k. Is u(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-5254 + (-11 - -20)). What is the greatest common divisor of 99 and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472330 and 4827600?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/30)\/((-2)\/(-24)). What are the prime factors of 6470\/110 + y\/(-22)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -11. Let w = 2.2 + -1.4. Let r = w + -0.6. Which is the smallest value? (a) 3 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 69*a**2 - 138*a + 288. Let m be k(-71). Let z(q) = -q**2 + 9*q - 6. Let w be (-48)\/(-9) - (-4)\/6. Let b be z(w). Solve -n + b = -m*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*y + 2 = 8, 7 = 5*m + 4*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 467962, 468241, 468520, 468799, 469078, 469357?\n\"Answer: 279*r + 467683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 6.1 (c) 1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -5) + (1 - 3). List the prime factors of 38*c - 5\/5.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 80\/29 (b) 5.6 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106684547 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*j)*(67*j**2 + 15*j**4 - 67*j**2) + 20*j**5 - 10*j**5 + 4*j**5.\nAnswer: -31*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3189.985 + 3210. Let j = o + -19.4. Round j to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -160 + 41*x**2 - 2*x - 106*x**2 + 38*x**2 + 30*x**2 as o*x**2 + u*x + h and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 + 2*t + 1. Let x be r(-1). Suppose x*g = w + 226, w = -5*g + 3*w + 284. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - -2) - (41 - 45)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6949809?\nAnswer: 3, 439, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.055, -0.3, -10, -2\/19, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.052, -0.1, -35.42, 0.\nAnswer: -35.42, -0.1, 0, 0.052, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (184 - 327 - 222)*(-i + 2 - 2) - i + 4*i - 4*i to the form x + n*i and give n.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2)*(-1320)\/396\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17446.57969 - -17410.58. Let p = w + 36. Round p to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 0. Let g = h - -13. Suppose 0 = -g*x - 672 - 508. Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 6, g: 2, m: 2}. Give prob of picking 1 r and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 8 = -q + 3*q + 37, 2*t - 4*q = 122 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891483.\nAnswer: 3, 297161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 = 5*g, 4*g + 1 = f - 0*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 330009 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*o**2 - 53*o**3 + 276*o**2 + 2*o + 166*o**3.\nAnswer: 113*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**3 - 10*s**2 + 2*s + 1050. Give r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 2, j: 1, x: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -28*u + 97, -2*f - 478*u - 14 = -479*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f = 71*f. What is the least common multiple of 3 and (-519)\/(-346)*((1 - f) + 61)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22086*d + 130460 = 4006*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 18339944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 159 + 162 + 175*h**2 - 182*h**2 - 3*h. Let w(i) = i**2 + i. Calculate -k(g) - 6*w(g).\nAnswer: g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 17, 27?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -7 + 3 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27346 = 15*z + 27091 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 10*r**2 - 6. Let x(c) = 2*c**2 - 1. What is 2*l(z) - 11*x(z)?\nAnswer: -2*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 4. Suppose 0 = z + 3 - 8. Let a be (0 - 1)\/((-5)\/20). Put a, h, z in decreasing order.\nAnswer: z, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000198053795 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c**3 - 3*c + 4. Let k = -31 - -24. Let d(l) = 12*l**3 - 2*l + 3. Let r(s) = k*d(s) + 5*y(s). Let p(n) = -7*n**3 + n + 1. What is -5*p(b) - 6*r(b)?\nAnswer: -b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(2736) + sqrt(2736) + -5 - (-2 + 3*sqrt(2736))*2)**2.\nAnswer: 288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -4 - -2)*1\/(-1). Which is bigger: x or 98\/395?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 3 + 4 + 3*o**2 - 1 in the form x*o + n + r*o**3 + i*o**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2245?\nAnswer: -2\/2245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**2)\/((t\/(t*t*t**(2\/27)*t*t*t*t))\/t)*(t*t**(2\/13)\/t)\/(t*t*t*t**(-1\/3)*t*t*t*t) assuming t is positive.\nAnswer: t**(-505\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 5*t**2 + t**2 + 2*t**2 - 4*t**2 + t**2 + (-2*t + 1 - 1)*(-1 + 1 + 2*t) - t**2 - 1 + 1 + t**2 + 2*t**2 - 4*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yskyyysksykyykskssk. Give prob of sequence yy.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12*j - 8. Let d(p) = 12*p**2. Determine d(v(y)).\nAnswer: 1728*y**2 - 2304*y + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4340 (base 5) to base 14\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8715 + -8709. Solve -n*c = -5*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**19*x*x*x)\/(x*x**(-20))*(x**8)**(-35\/3))**(-2\/5) assuming x is positive.\nAnswer: x**(308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -77, -184, -363, -632, -1009, -1512?\nAnswer: -2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 21. Let g be (-117)\/99 + w\/11. Which is greater: 10\/49 or g?\nAnswer: 10\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -323 - -4168?\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4*t + 28*f**2*t**2 - f*t - 3*t**2 - t wrt f?\nAnswer: -24*f**2*t + 56*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170552981 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8475 is divided by 269.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 711*b + 711*b - b**2 - 1422*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*i + 28 = -225*i. Let a(o) = o**3 + o**2 - 4*o + 4. Give a(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (9 - (-1 - -15) - -30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22267 + 22267.00054922. What is m rounded to six dps?\nAnswer: 0.000549","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3644256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let r = -2 + z. Let d = r - -0.0000008. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 19*f**4 - 15*f**4 - 525*f**3 - 67*f**4 + 523*f**3 - 1 in the form u*f**2 + p*f**3 + d*f + a + z*f**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 10:17 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7050b (base 16) in base 12?\nAnswer: -1a228b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2135 + 2*c + 1057 + 1068.\nAnswer: 2*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**3 - q + 29 + 8*q**3 - 19.\nAnswer: -12*q**3 - q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 76 - 204. Suppose 0 = 3*a + 2*w - 21, 3*a + w + 0*w = 18. Suppose k = a*c - 18. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/48*(-780)\/2. Let k = l + -145. Calculate the remainder when k is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29870 is divided by 102?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 522748120 to the power of 1\/2, to the nearest integer?\nAnswer: 22864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(1008))*4 + 5*((sqrt(567)*-1*-1 - sqrt(567))\/sqrt(9))**2.\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v + 5*v - 3*v)*(-4*v**3 - 5 + 5) + (224 + 24*v**3 - 224)*(-3*v + 2*v - v) as w*v**2 + x*v**3 + k*v**4 + h + l*v and give k.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-48735)\/19)*15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 18. Let r = 18 + h. Let n = r + -9.9999993. What is n rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = 3*z, 0 = -4*a + 116*z - 114*z + 14. Suppose -10 + 3 = -2*q - 5*b, -5*b - 35 = -5*q. What is the greatest common factor of a and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65574265 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -519 - -522. Let w be ((-4)\/(-10))\/((-2)\/30). Let v(s) = -2*s - 7. Calculate the remainder when v(w) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 19*i**2 + i + 28. What is p(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -281.3 at most as big as 8930\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1295122, -1294584, -1294046, -1293508, -1292970, -1292432?\n\"Answer: 538*r - 1295660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 16\/28)\/((-2)\/(-14)). Suppose -b*l - 8*l = -40524. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -588042.7 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-54)\/6 + 85. What is the highest common divisor of v and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 45*h + 219*h - 3*h**4 - 5157*h**3 + 2590*h**3 + 201*h**2 + 108 + 2609*h**3 = 0.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*u - 39, -z + 4*z = 5*u - 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 2*o. Let b(f) = f**2 + 24*f - 87. Let l(w) = -6*a(w) - b(w). List the prime factors of l(7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 1934*p - 2122*p + 783*p**2 - 783*p**2.\nAnswer: p**3 - 188*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzsfpszpspcfcxs. Give prob of picking 1 f, 2 c, and 1 s.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 + 4*h**3 - 3*h**3)*(-4 + 1 + 5 + (0 + 1 + 0)*(3 - 1 + 0) + 3 + 3 - 5 + 0 - 1 - 2 + 3 - 1 + 2) as m*h**3 + v + t*h**2 + p*h and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 206229197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*g - 6, -3*v = -g - 11 + 13. Let x = -23\/60 - 329\/20. What is the common denominator of (v - 1)\/(1\/91*-8) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7116720 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-3\/4)\/d))**(-48)*(d**(-3)*d)**(-2\/19))**1 assuming d is positive.\nAnswer: d**(-1592\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302\/11 > -6155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:51 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3923*u - 3919*u - 8348 = 0. What are the prime factors of u?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 200*s**2 + 582*s.\nAnswer: 2*s*(s - 97)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 1 - 1. Let w(j) = -26*j - 6. Let z be w(-6). Suppose f = -5*i - 0*i + z. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1014 and 55578?\nAnswer: 9392682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3487017 meters to micrometers.\nAnswer: 348701.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/128450039 or -1?\nAnswer: 6\/128450039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 5, e: 1, h: 1, j: 1}. What is prob of sequence ohq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/15)\/((-157)\/350 - (-15)\/35).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272391 is divided by 556.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9183.749 litres to millilitres.\nAnswer: 9183749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 + 3.25. Put u, 0.2, -1 in descending order.\nAnswer: 0.2, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 2, n: 2, m: 1}. What is prob of picking 1 h, 1 a, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4600 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqll when four letters picked without replacement from lqpqlllqplpllpllll?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.383, -0.5, -2 in descending order.\nAnswer: 0.383, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 84 = 4*m, -10 + 30 = -5*p. Solve -28*n + m*n = -20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 56*l - 385 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/5 - 5) + 12\/(-6). Suppose -3\/5*r**4 + 3\/5*r**2 + 0*r - 3\/5*r**3 + 3\/5*r**k + 0 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14525 and 356153.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-73*32\/(-1168))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - l**2 + 2*l + 2. Let v be c(3). Let w be 24\/v*(-7)\/4. Let j = -0.473 - -1.473. What is the fourth biggest value in j, 5, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -688*l**4 + 14*l - 11 wrt l?\nAnswer: -8256*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*2*-1 + sqrt(567) + -2.\nAnswer: -2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -11 (c) 1\/5 (d) -2\/5 (e) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2209 and -85\/6833236?\nAnswer: 321162092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 - 10*t + 2. Let o be r(10). Suppose 4 = o*w - 0. Solve 0 = -w*m - 3*m - 2*z + 14, -2 = m - 2*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 771 and 6425?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-8)\/(-3)))\/((-87)\/(-58))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-1)\/3)*-1. Let t = -0.06 - -0.06. Which is the smallest value? (a) t (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 5. Let d(g) be the first derivative of -3*g**2\/2 - 11*g - 3. Let s(j) = 2*d(j) - 5*o(j). Let r(u) = -4*u + 10. What is -3*r(a) + 10*s(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**4\/6 + t**3\/2 + 43*t**2. Let v(a) = 17*a - 13. What is -2*v(f) - 9*y(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 3*y**2 + 7*y**2)*(3*y + 0*y + 0*y)*(-2*y**2 + 0*y**2 - 6*y**2).\nAnswer: -72*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + (0 - 7) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*p**2 - 1417*p**2 - 4697*p**2 + 318*p**2 + 817*p**2.\nAnswer: -6575*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 = -s - 11, 4*s + 72 = -4*z. Let n = s - -12. Let a = n - -7. Solve 0*v + 2*v - 3 = -q, q = -v + a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 7 - 27. Suppose 0 = 2*r - 7*r + a. Let i = 24 - 16. Calculate the highest common factor of i and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1561 and 41.99?\nAnswer: -65546.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1046329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjqrqgjrqqqjrrrrqr. Give prob of sequence rjrr.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*(54\/6)\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5533620 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-24) - 3\/12. Let k = 21281 + -21284. What is the fourth biggest value in k, j, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-8) - (-1 - -5) - 3\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 8:57 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -2*g**6\/15 - g**4\/24 - g**3\/6 + g**2. Suppose 2*z = -3*d - 3 - 0, 0 = -2*z. What is the tens digit of a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 125 and -872 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102321201 - -11?\nAnswer: 102321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. What is the third derivative of 4*w**r + w**2 + 2*w**2 - 2*w**2 wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 57*t - 3*t**3 - 2*t**3.\nAnswer: -3*t**3 + 57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*1 + (-14)\/28. Let w(j) = -j**2 + 2. Let d be w(0). Factor k*c**d - 9\/2*c + 1.\nAnswer: (c - 1)*(7*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*h**4*i + 50*h**4 - 2*h*i - h + 2*i - 112 wrt h?\nAnswer: 504*h**2*i + 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csssssscss. Give prob of picking 1 c and 3 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 193 = p, 18*t - 23*t + 389 = 2*p. Calculate the highest common divisor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4950.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1674*t = -1679*t + 5355. List the prime factors of t.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 10 - (-5 - -18 - 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*a - 8, -5*d + 2*a = a - 19. Solve 0 + d = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 444*o + 145*o + 506*o**2 + 151*o + 149*o to the form c*o**2 + l*o + m and give c.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2971 and 23.\nAnswer: -68333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 3*d. Let a be (-5 + 2)\/(8\/10 - 1). Solve 0*z + a = d*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 29*o + 7. Let a be s(-7). What is the derivative of -a*g + 28 + 37*g + 36 + 1 wrt g?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-3)\/(6\/64). Let w be u + 0\/(-4) + 1. Let f = w - 2. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1132 - -629. Let l = w - -537. Which is the nearest to 0? (a) 4 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g - 3. Let a be s(3). Let t be (-7)\/(a\/12) - 1. Suppose o = -t*o + 308. Calculate the remainder when o is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.316 + -0.31600178. What is p rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.11641 - 0.11641. Put 0.3, b, 0, 196, -2\/13 in descending order.\nAnswer: 196, b, 0.3, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 4 = 0. What is the smallest common multiple of -1 + (3 + 14 - j) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25483742.\nAnswer: 2, 3307, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -546 - -547. What is the third smallest value in 1\/5, m, -149?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 + 13*k - 5. Let z be c(-7). Let m be z\/5 + 10404\/90. Suppose 7*v - m + 18 = 0. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*7\/(-42))\/(2*(-6)\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 75063 = 4*h, 9*d - 74999 = 8*d + 4*h. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 710677?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afqf when four letters picked without replacement from {a: 4, l: 1, q: 2, f: 2}?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.265978 + -0.015678. Let f = d + 16.6437. Let k = f + -19. What is k rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ba8ab (base 12) in base 8?\nAnswer: 6505603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1444119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 165*r**4 + 986905*r**3 - 3945675*r**2 + 4931320*r - 1972380 = 0. Calculate r.\nAnswer: -463, 1, 2, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*l - 34*l + 82*l)*((4 + 2 - 4)*(-1 + 3 + 0) + 3 - 1 - 3 + (1 - 1 + 2)*(0 + 3 - 5) + 0 - 3 + 1 + 1 - 1 - 4).\nAnswer: -903*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 773075 and 380035.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from kgggakkdggdgakdgkd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j - 22*j - 715 - 2895 = 0 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73874244 a multiple of 2089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -192, -392, -602, -822, -1052?\n\"Answer: -5*b**2 - 185*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 237 = -31*b, 25*b + 5 = 2*p + 20*b + 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 9 + (-4 - -5) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1 + (7 - 10) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 45. Solve d = 5*l - 5, 0 = -4*g + l - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3471 (base 14) in base 6?\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 36. Let y(o) = o - 1. Let z be 2*(15\/(-25) + 7\/(-5)). Give z*y(d) - b(d).\nAnswer: 2*d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 0, -2*b = 2*v + 3*b - 23. Suppose 3*m + m - v*c = 13399980, m - 3*c = 3349985. What is m rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 17. Determine n(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.14721153 - 23819\nAnswer: -23818.85278847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -21)*19\/(-6)*(-1312)\/152.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 50*j - 2. Let y be g(1). Let i be (-1)\/(((-35)\/120)\/7). Let u = y + i. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12691*v**2 - 2*v**3 + 5*v**3 + 47036*v**2 + 2 - v**3 + 14821*v**2.\nAnswer: 2*v**3 + 74548*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1. Let n(o) = -2*o + 7. Let l(w) = -6*a(w) + n(w). Let k(v) = -4*v + 2. Give 2*k(y) - 5*l(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((1 - -1) + 0). Let x = 608.7 - 610. Let z = -3.7 + x. What is the closest to 1 in o, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*1 + 37 + (-15 - -11). Solve 29*t = d*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let o = -0.011 - -0.019. Let r = 0.032 + o. Is b bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1958\/25, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9394 in -20\/11, 1, -1?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 24*l**2 - 11*l + 360. Calculate the remainder when r(-27) is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + 15*x**2 - 6*x**2 + (2*x + 0*x - 3*x)*(x + 3*x - 5*x) - 4*x**2 + 3*x**2 - x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 5. Suppose b + 25 = 5*x - 4*b, 0 = -x - 4*b. Let q be y(x). Suppose -10*v - q = 1. Let l(d) = 14*d**2 + 2*d + 1. Calculate l(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212210201 (base 3) to base 6.\nAnswer: 443244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-3*sqrt(20)*-1)\/(4*3*sqrt(16))*-5*-4)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d + 2*d)*(-5*d + 0*d + d) + 25*d**2 - 19*d - 16*d**2 + 19*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77618315 + 46328.\nAnswer: -77571987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**8\/252 + 4*z**7\/315 + 2*z**6\/135 + 15*z**3\/2 - z + 3. Let r(u) be the second derivative of y(u). Factor r(k).\nAnswer: -4*k**2*(k - 2)*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 2*b - 7*b)*(-16 - 17 + 5) as o*b + n and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(0 + 4). Suppose 0*i + 8 = p*i. Suppose -1 = 3*g + 5*o + 1, -i*g + 5*o + 44 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) 1672 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2. Let m(j) = -3*j + 2. Let z(q) = -4*q + 3. Suppose 4*y - 2 = 5*y. Let s(l) = y*z(l) + 3*m(l). Calculate s(g(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*6144893.\nAnswer: 1228978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s**2. Let t(u) = 9*u**2. Calculate j(t(b)).\nAnswer: -1134*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 142*x**2 - 122*x - 2674. What is s(143)?\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 900 = 5*r. What is the greatest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35827, -71677, -107525, -143371, -179215, -215057?\nAnswer: -250897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**5 + a**4 + 1. Let z(y) = 2*y**5 - y**4 - y**3 - 1. Let c = -2 - -3. Let i(g) = c*z(g) + h(g). Factor i(d).\nAnswer: d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13290)\/108 - 2163\/(-38934)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -1258\nAnswer: -75.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/9 - 0). Suppose 5*u + i - 11506 = 3*i, 0 = -a*u + 3*i + 6909. What is u rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 5*q**2 + 3*q + 22. Give b(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -5, -2\/13, -2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -29*l**2\/2 + 292*l + 279. Let t be x(10). Solve -t = -2*k + j - 3, -4*k + j = 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m + 1. Suppose -i - 7 + 1 = 0. Let o(n) = -3*n - 14. Let w be o(i). Let g be (-13)\/w + (-2)\/(-8). What is b(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, 1 r, and 1 o when four letters picked without replacement from otxnoxoooxxojrxx.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 12024?\nAnswer: -12041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 20 = 5*z. Let c(h) = h**5 + h**3 - h + 1. Let w(t) = -5*t + 8*t**3 - t + t**5 + 4 + t**5. Let a(o) = z*c(o) + w(o). Determine x so that a(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 158 = 298. Suppose 0 = -r*u + 30306 + 10221. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336592 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 448490 + -448489. Let f = -0.0363 - 7.0237. Let y = 7 + f. What is the nearest to y in x, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2011, -2, -0.4 in decreasing order.\nAnswer: 2011, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 222062.\nAnswer: 222061.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.74 - 7.66. Let q = l + 8. Let i = -0.1 - 0.1. Which is the nearest to -0.1? (a) q (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*z - 3*z - 15*z)*(5*z**2 - 5*z**2 - z**2)*(-z - z**2 + z).\nAnswer: 44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 3*q + 18. Suppose -9*y = 84 + 24. List the prime factors of v(y).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 3. Let y be (3 - 5\/2)*0. Suppose 3*z + 11 = -4*u, y*u + u = -4*z - 19. Let q(r) = -2*r**2 + 5. What is z*o(g) + 3*q(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-16)\/8*3\/132)\/((-210)\/385)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 + u + 1. Let x(m) = 86*m**3 - 5*m - 1. Determine -t(k) - x(k).\nAnswer: -83*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1281\/4 - 322. Let m = p + 25\/12. What is the closest to 0.2 in 2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/20 - 7*b**4\/6 + 5*b**3\/2 + 5*b**2\/2 + 1046*b. What is v(13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/22 + ((-2059203120)\/(-44))\/6. Suppose 0*n = -n - 3. Let k be (-36)\/(p\/(-2600000) - n). Round k to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*y + 3 = -2, -h - 3*y = 14. Let l(j) = j**3 + 4*j**2 - 8*j - 6. Give l(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85206 is divided by 6319.\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + s. Let a be t(-2). Let i = -2 + a. Suppose 2*h - 6 = -3*b - 2*b, 5*b - h = i. Which is smaller: b or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 - -119. Let j = m - 12.16. Let f = -1.1 - j. What is the nearest to -0.1 in f, -0.2, -5\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 20*z**2 - 67*z - 56. Let k be j(-16). Let t(n) = -3*n**2 + 126. Let q be t(k). Let y = 18 + -84. Is q less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -364, -343, -302, -235, -136, 1, 182?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, p: 2, l: 1, t: 2}. Give prob of picking 1 t, 1 p, and 1 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -428 + 400. Let q = -12309\/10 + 1226. Calculate the common denominator of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let l(z) = -249*z - 257*z + 1041*z - 247*z - 263*z. Calculate l(x(c)).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4773 + 33435\/7. Suppose -g*q**3 + 12\/7 - 40\/7*q + 4\/7*q**4 + 48\/7*q**2 = 0. Calculate q.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 137869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, -1\/2, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103176 and 218430.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 + 14*r - 11. Let v = -4 + 10. Let x be a(v). Solve 2*g - x = -5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -661 and -1.\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times -108?\nAnswer: 4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*((-228)\/(-36))\/(-19)*(-44)\/(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = 0, 76547 = 5*k + 15*a - 17*a. What are the prime factors of k?\nAnswer: 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58947\/(-567) + 45 + (-36480)\/810?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -3 - 5) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3\/2002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t\/t**1*t))\/t)**(-12)*(t**(-5\/3))**(2\/3))**(1\/10) assuming t is positive.\nAnswer: t**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1684 = -761. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 5*l**3\/6 - 49*l**2\/2 - 9*l. Is s(12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/29 or 6571519?\nAnswer: 6571519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 86556559.88 to the nearest one hundred thousand.\nAnswer: 86600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -18.183\nAnswer: 145.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -3\/7, -1\/2, 7\/6, 5, 0.0654?\nAnswer: 0.0654","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -145 + 582?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/11541 + -727081\/23082. What is the closest to 2\/5 in n, 0.08, -3, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 105*p - 100.\nAnswer: -5*(p + 1)*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:32 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j + 23. Let y be a(-6). Let w(s) = -2*s - 16. Let c be w(y). Suppose 1 + 19 = c*m. What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzfzzfffrzrssrfb. What is prob of picking 2 z, 1 f, and 1 r?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = -430 + 2810. Let k be (-1)\/(-4)*-2 - u\/(-34). Factor 3\/7*h**2 + 0*h + 0 + 3\/7*h**k.\nAnswer: 3*h**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*b + 53 - 315*b**2 + 43 + 336*b**2 - 3*b**3 - 456.\nAnswer: -3*(b - 6)*(b - 5)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9731 + -9722. Let r be 2\/6 + 591\/9. Suppose 4*a + 300 = 4*c, 3*a = -c + a + r. What is the greatest common divisor of i and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 10138 = 9434 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2396 is divided by 538.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1442 - -2137. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d + 2, 5*m - 4*d - 38 = 0. Let v(f) = f**3 - 7*f**2 + 6*f - 8. Let r be v(m). Let w = r + 14. Solve w = 3*s - s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 60\/(-200) + 63\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 4. Let b be d(5). Let q(y) = y**3 - 10*y**2 + 12*y - 11. What are the prime factors of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -346*y - 352*y + 708*y - 180 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 16. Suppose 3*t - 4*a - 35 = 0, -4*t + w*a + 25 = -15. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1991 - -0.2991. Let u = 1.5 + -2. Let d be (-1)\/4*4\/6. What is the closest to x in d, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000011101110 - -101101?\nAnswer: -10101000011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwsttww. What is prob of sequence wt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1541522858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160523212 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 times 1.21\nAnswer: -9.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 85 = 3*h. Calculate the highest common factor of h and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 27*g - 35*g + 312 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889464130 to the power of 1\/2, to the nearest integer?\nAnswer: 43468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 0.07. Let g = z - 0.68. What is g rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4)\/g**(-7)*(g*g**0)\/(((g\/(g**(-3\/5)*g*g)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14923 is divided by 7434?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 5*f**2 + 15*f**2)*(-f**2 + f**2 + 3*f**2) + (-f + f**4 + f)*(2 + 0 - 4).\nAnswer: 40*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 288149, 288130, 288111, 288092, 288073?\n\"Answer: -19*p + 288168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lohr when four letters picked without replacement from fromolohohhorr.\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -10 - (0 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514885, -515337, -515789, -516241?\nAnswer: -516693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, a: 2, l: 2, y: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2299) + -2 + sqrt(2299))*4)**2.\nAnswer: -35200*sqrt(19) + 3680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1625)\/(-2275))\/((-30)\/35*-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*c + 3*l, -c - 2*c + 113 = -4*l. Suppose -j = 56 - c. Which is smaller: j or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-216)\/(-9)*2\/6. Suppose 0 = -4*n - m, 0 = 3*i - 2*i - 5*n - 19. Solve 3 = 5*d - 4*d + 4*j, -3*d + i = 5*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h + 46*h = 2*f - 474, 2*h = -2*f + 498. What is the greatest common factor of 56 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*t - 487 = -6403 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/3970, 8701?\nAnswer: -1\/3970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(117)*2 - sqrt(117)) + -2*sqrt(117) + 0)*-5)**2.\nAnswer: 353925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17447 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-192*l**4 + 355*l**4 - 160*l**4 + 688)*(-10 + 10 + 2*l).\nAnswer: 6*l**5 + 1376*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 - 155. Let s(v) = v**2 - 5*v - 14. Let q be s(l). Which is the closest to -3\/2? (a) q (b) 3\/5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-1143)\/27432*8\/(-21)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v. Let u be 6 - (0 + -3 + 5). Let n(j) = -j + 3*j - u*j. Give 4*b(l) - 5*n(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/63 - -1)\/(4\/56). Sort 3, m, 6, -1, -2 in increasing order.\nAnswer: -2, -1, 3, 6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1033\/4 or -0.05?\nAnswer: -1033\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14093 - -47a?\nAnswer: -13714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/9 + 746182*x\/9 - 746164 = 0.\nAnswer: 9, 373082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72526, -143972, -215418?\nAnswer: -286864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(36)\/sqrt(2) + sqrt(288)*-1))\/((-4*sqrt(42))\/sqrt(7) + sqrt(54)\/(sqrt(45)\/sqrt(5))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5987, 5997, 6015, 6047, 6099, 6177, 6287?\nAnswer: 6435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -690*r*v**3 - 36975*r*v**2 + 8321*r + 2*v + 865 with respect to v.\nAnswer: -2070*r*v**2 - 73950*r*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 6\/11 (c) 6.6 (d) -4\/3 (e) 2\/627\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -3)*(-2 - 11) is divided by 2\/5 - 33\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16329408 and 8640.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/25)*k)\/k*k*k**(1\/4))**(-4\/7)\/((k**(-1\/5)*k**(2\/9))\/(k\/k**(6\/7)*k*k**(2\/3)*k)) assuming k is positive.\nAnswer: k**(3193\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34313141.\nAnswer: 4243, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 645 - 34*h - 2*h**2 - 323 - 358 as w*h**2 + p + n*h and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38601651?\nAnswer: 3, 11, 1169747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 132 = 58*j + 132 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -21. Let d be (4\/2)\/(w\/35). Let r = d + -4. Solve r = c - 2*n, 0 = -3*n - 13 + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - -8 - (-10 - -1). Suppose 0 = 35*j - 34*j - 6. Calculate the highest common divisor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -576*f**2 - 490*f**2 + 1226*f**2 - 1368*f + 382*f wrt f?\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + a - 0*a, -2*s + 14 = 2*a. Let k(c) = -c + 16. Calculate the remainder when k(0) is divided by 6*s\/(9\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**2 + 76*c + 15 = 0.\nAnswer: -15, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/(-105) - (-171)\/105. Suppose 2\/5*q**2 + 0*q - 6\/5*q**3 - 2\/5*q**5 + 0 + w*q**4 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -129. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a + 9?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 2 - -1) + -10 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3708.44 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.277 + -1.277. What is the fourth smallest value in v, 5, 4\/37, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227354 divided by 386.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528484513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9156.698 - 9167. What is l rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209 + 215. What is the smallest value in -4\/3, r, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t + 2 - 81*t + 26*t.\nAnswer: -101*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -1.97. Let x = 3 - j. Let p = 1 + -2. Sort x, p, 1\/5 in increasing order.\nAnswer: p, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.9 - 5. Let d = t - -4.1. Let f be (-8)\/(-20) + 0 + 14\/15. Which is the third biggest value? (a) d (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 - 40190288*r - 201907406190368 = 0 for r.\nAnswer: -10047572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2 + 472*c - 55696 = 0.\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63457.71 meters in micrometers?\nAnswer: 63457710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -40*h - 74. Let q be r(-2). What is t in -10*t**2 + 10*t**4 + 2*t**5 - 394 + 394 + q*t**3 - 8*t = 0?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxz when three letters picked without replacement from zxzzbzxbbxbxzzbbbbb?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -115, 815, 2 in ascending order.\nAnswer: -115, 2, 5, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let f = 4 + 69. Let g = -1702 + 1729. Let l(j) = -25 + f + 6*j - g - 19. What is v(l(p))?\nAnswer: 36*p**2 + 24*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*-13\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1666540 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.2 (b) -3.878 (c) 1 (d) -0.3 (e) -0.07 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4525*d - 1140314. Give a(-252).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(33)\/sqrt(3)*-6)**2)*-5*1.\nAnswer: -5*sqrt(11) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 6 = -5*g, 112*h = 84*h + 2*g + 168 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/139, -2\/9, 1\/7, 0.5 in ascending order.\nAnswer: -2\/9, 3\/139, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {d: 1, h: 1, c: 2, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 9*a + 9*a - 25*a.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-3)\/11)\/(165\/1815).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/120*i**6 - i**2 - 1\/15*i**5 - 1\/8*i**4 - i + i**3 + 0. Let q(x) be the first derivative of w(x). Give q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 times -0.4\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*y + 33*y - 7. Let h(w) = -10*w**3 + 84*w**2 - 7. Let j(g) = 7*g**3 - 56*g**2 + 5. Give y*j(b) + 5*h(b).\nAnswer: -b**3 + 28*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 + 256. Let u = 18 + d. Suppose 3*a = u + 101. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*m + 33, -77*m + 75*m + 4*s + 24 = 0. Solve 0 = m*l - 4*f + 7*f - 1, -2*l - 2*f + 4 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -g - 274, 5*k - 203 = 3*g + 143. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:42 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2215, 11910, 29115, 53830, 86055?\nAnswer: 125790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let h(i) = -i**2 - 2*i - 921. Calculate r(h(v)).\nAnswer: -v**2 - 2*v - 921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 55*y**5 + 8*y**4 + 226*y**2 - 2. Let o(n) = -54*n**5 - 10*n**4 - 225*n**2 + 3. Let j(t) = 3*h(t) + 2*o(t). Find the third derivative of j(i) wrt i.\nAnswer: 3420*i**2 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/5418 and -89\/85527.\nAnswer: 1197378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/4 + (-6 - -1)*1. Let t(p) be the second derivative of -j*p**2 - 1\/24*p**4 + 1\/6*p**3 - 3*p + 0. Factor t(y).\nAnswer: -(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1262, -2522, -3774, -5006, -6206?\nAnswer: -7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -344 + 504. Let q = 159 - i. Which is smaller: 2\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157442716?\nAnswer: 2, 4673, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.241145l to millilitres.\nAnswer: 9241.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 134218.\nAnswer: 1476398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 893*h**5 - 51*h**4 - h**3 + 995722*h**2 wrt h?\nAnswer: 53580*h**2 - 1224*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 36. Let d = q + 20. Calculate the smallest common multiple of 2 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -54, 1, 3 in increasing order.\nAnswer: -54, -6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - j - 8652 = -f, -j = -f + 1732. Let k = f + -1213. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -437*z + 2627. Determine j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19551130 is divided by 471.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + j)*((1 + 4 - 1)*(0 - 2 + 0) + 44 + 9 + 18 + 2 - 5 + 1 + (-4 - 1 + 3)*(3 + 2 - 6) - 3 - 1 + 5) as z*j + t and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1211 - -936. Let x be 3 + (-12979)\/6 + -1. Let z = x + b. What is the common denominator of 54\/11 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*o - 21*o + 15*o)*(4*o - 4*o + 2*o)*(53 - 28 - 29) in the form w*o + z + v*o**2 and give v.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1868260 from -1093.9.\nAnswer: -1869353.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*q - 9 = 0, 0*q = -3*b - 2*q + 20. Solve -5*l - 31 + b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57193550, 57193548, 57193546, 57193544, 57193542?\n\"Answer: -2*u + 57193552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/(-1)*2. Suppose 21 = 3*l + v. Suppose -l*f + 2*f + 12 = 0. Solve -f*n - 12 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.343 + 27.057. Let k = p + -31. Let r = k - -0.6. Which is the second smallest value? (a) r (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2)\/(-1 - (2 + -1)). Suppose -k = 2*f - 44, -a*f - 2*k = 20 - 66. Is (-14)\/f + 7558\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 607, -17, -1 in increasing order.\nAnswer: -17, -1, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -79 + (35 - (27 - 22)) - 18\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-6 - -4)) + 1 + -2 + 141 + -5?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412.48464 + 56133?\nAnswer: 57545.48464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {q: 7, m: 1, f: 1, s: 1, g: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 10178891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, 171, 682, 1679, 3324, 5779, 9206, 13767?\n\"Answer: 27*k**3 - 2*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-18) + (-22 + 3)*(-1)\/6. Let h(t) = 2*t - 7. Let j be h(5). Sort y, -1, j in decreasing order.\nAnswer: y, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 6 (b) 4\/3 (c) -0.151 (d) -4 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**4\/4 + 2*v**3 - 5*v**2\/2 + 3*v - 4. Let p be r(5). Solve -3*q = -3*u - p - 9, -4*u = 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.589 - 4.589. Which is the nearest to 3? (a) -1 (b) -11\/3 (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:49 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*g - 44. Suppose 7*r = 4*r. Suppose r = 4*f - 15 - g. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3496 + -3495.8. Which is the nearest to w? (a) 1 (b) -0.1 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*f + 809 = -263*f - 1516 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 8 = 0. Suppose 0 = -c - s - f + 17, 11 = c + 3*s. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*s, 0*l = 2*l + s. Suppose l*z = z + 2*c - 108, 388 = 4*z - 3*c. Let t = 40 + -15. Calculate the highest common divisor of t and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*w + 319 = 0, -2*w + 0*w = -3*m + 329. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9195 at least as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 + -141. Which is the smallest value? (a) -6 (b) 0.4 (c) v (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(7) - 2*sqrt(7)*5)**2 + (4 + -4*sqrt(567) + -2)**2.\nAnswer: -126*sqrt(7) + 9644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + 56)\/((-29435)\/(-140) + 9\/(-4)) and 49\/286.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -965, -1925, -2885, -3845?\n\"Answer: -960*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 116 - 24. Let s be 46\/n + ((-6)\/(-21))\/(-1). Suppose -5*j - s*v = 0, -5*j + v = -0*v. Solve j = -4*o - 3*a + 5 + 12, 5*a = -2*o + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:53 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(2\/7)\/h*h)\/h*h*h)**(-18))**8\/((h*h**2*h)**(2\/101)\/(h**(-2\/3)\/h**(2\/3))) assuming h is positive.\nAnswer: h**(-701108\/2121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*n - 10*n - 16*n)*(n + 0*n + n)*(-1 - 1 + 3 + (-2 + 3 + 0)*(4 - 2 - 1) - 1 + 2 + 1 + 2 - 2 + 2 + 3 - 2 - 2 + 0 - 3 + 4 + 4 + 0 - 3)*(-1 + n + 1).\nAnswer: 154*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256269 (base 12) in base 5?\nAnswer: 124041311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 22*s**3 - 5*s**2 - 6*s - 7. Let l(c) = -21*c**3 + 4*c**2 + 5*c + 6. What is 4*k(h) + 5*l(h)?\nAnswer: -17*h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = 204 - 404 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 380*g**4 + 305505*g**3 - 942680*g**2 - 8549745*g + 338940 = 0.\nAnswer: -807, -4, 3\/76, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:49 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 15) to base 11.\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21. Suppose -5*q + 4*r = -0*r - 75, o = -3*q + 4*r + 37. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 3*h**2 + h + 2. Suppose -3*d = -5*x + 11, -15 = -4*d - 3*x + 9. Calculate the remainder when 14 is divided by z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -411 - -437. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + 1 + -6*1*sqrt(1872) - (((1 + sqrt(1872))*-4 - sqrt(1872)) + sqrt(1872) + 2 + sqrt(1872) + -1 + 5))**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 5 + 23 = 0. Let v be (-40)\/(-3900)*t\/(6\/100). Let y = -2\/13 - v. Sort 3, -2, 0.3, y.\nAnswer: -2, y, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a. Let f(t) = -t**2 + a*t - 4*t + 4*t. Let l(s) be the second derivative of s**3\/6 + 9*s. Calculate f(l(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-5 + 3 + -1 + 1). Solve v + 2 = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 38324711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydddddyddddyy. What is prob of sequence dy?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 + 2. Suppose -35 = -8*q + q. Which is the third smallest value? (a) 2\/7 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -59. Suppose 0 = 3*t - 12 - 0. Let j be (24 - 3)*t\/u. Solve -4*d - 2 = -j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(0*l**3 + 4*l**3 - 3*l**3) + 251 + 418*l**3 - 421*l**3 + 134 - l to the form c*l**3 + u*l + g*l**2 + t and give t.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.832 and 0.0513076.\nAnswer: 3.8833076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4423a (base 12) to base 13\nAnswer: -32089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.55027 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-120) - (-246)\/8. Find the second derivative of 10*q**4 + u*q - 29*q - q**4 wrt q.\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -519354.7741 to the nearest 10.\nAnswer: -519350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 818 + -402. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*1 + sqrt(198))\/sqrt(6))\/(sqrt(3) - -4*-3*sqrt(3)).\nAnswer: -2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -5\/2, -2, 545?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154277 is divided by 1537.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -7, -430, -5 in ascending order.\nAnswer: -430, -7, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**4 - 13*a**4 + 43*a**4 - 3*a**4 + 0*a**4 + 2*a**4 + (-2*a + 4*a - 3*a)*(a**3 - a**3 - 2*a**3) as j*a + b*a**4 + d + c*a**2 + o*a**3 and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*l**4 - 8\/9 + 0*l + 0*l**3 + 10\/9*l**2 = 0. What is l?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((-24)\/32)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/9 - 13) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548708402?\nAnswer: 2, 1274354201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/20 + 1)\/(2\/(-65)). Let b = -20 + p. Solve -w - w = -b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3275620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -60, -128, -222, -342?\n\"Answer: -13*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - ((-56)\/(-35))\/((-6)\/(-15)). Suppose x*j + 3*c - 12 = 0, -4*j = -26*c + 23*c + 12. Which is greater: 13\/21 or j?\nAnswer: 13\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 + 17*y - 7*y + y**4 - 9*y - 5*y**2 + 2*y**3 to u*y**2 + r*y**4 + v + a*y + b*y**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155430520 (base 6) to base 7.\nAnswer: 40312143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*d, a + 8*d + 15 = 11*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 171967, 171955, 171943?\n\"Answer: -12*c + 171979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.05476132 to 2 dps.\nAnswer: -9.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(sqrt(5) + sqrt(5) + -1) + sqrt(5) + (sqrt(245) - (-2 + sqrt(245)))))**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -30. Let d = y - 45. What is the common denominator of -33\/4 and (d\/((-56)\/332) - 2) + 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/10 - -3) + 4\/12.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1*(-10)\/(-2). Suppose 2*w + 0*w - 252 = -2*a, 0 = 2*w - k*a - 259. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3292\/193 < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 p when three letters picked without replacement from {p: 1, t: 1, y: 1, c: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - o + 11*o**2 - 3*o**2 - 2*o - 46*o**2.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atix when four letters picked without replacement from hxtaiaitxxtx.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 0*y**4 + 1 + 0*y**3 - 7\/5*y**5 + 0*y + 3\/2*y**2. What is the second derivative of h(u) wrt u?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 14\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {r: 2, b: 1, q: 4, w: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v - 2*v)*(1 + 2*v - 1)*(0*v + 0*v + v)*(0*v - v + 0*v).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 773 = 1320. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1304*v**2 + 1 - 728*v**2 - 578*v**2 - 1.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 - -82?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/20697 - -379369\/786486. What is the common denominator of -23\/513 and a?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 4. Determine q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -48*l**4\/5 + 1512*l**3\/5 + 789*l**2\/5 - 135*l + 96\/5 = 0.\nAnswer: -1, 1\/4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 y when four letters picked without replacement from {x: 2, c: 2, b: 4, y: 4, s: 2}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2821 and 13.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*f**4 + (1 - 3 - 3)*((-2 + 1 - 3)*(1 - 1 - 1) + 0 + 2 + 1)*(f**4 - 7*f**4 + 4*f**4).\nAnswer: 68*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*o - 0*p + 2, -2*o + 4*p = -2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/26 and 4\/(-18) - 1717\/306?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*y - 20, -2*y - 5*n - 14 = -9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*z + 3*v, 70*z - 134 = 140*z - 66*z + 14*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 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: Calculate the lowest common multiple of 61448112 and 1019040.\nAnswer: 614481120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*y + 4*f, -4*y + f = 3*f + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 2. Let t be l(5). Suppose t*z - z - 10 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*h - 172, -6*o + o = -5. What is the derivative of -21*c**4 + h - 8 + 102*c**4 wrt c?\nAnswer: 324*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3651517 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.65 in -91\/3, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 4)*(119978 - -22). Round f to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 10 - 4 - 20*l**3 - 18 + 2*l**2 to a*l**2 + c + u*l**3 + j*l and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-585) - (-3)\/90*-364\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 881309523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-15) + 5)*10\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 - 1110*j**3 - 32460*j**2 - 239530*j + 273105 = 0?\nAnswer: -189, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2446 + 1.178. What is m rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1354*y = -829*y - 32745 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-2 - 7 - -18 - 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 165. What are the prime factors of (9\/6)\/(9\/j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - g + 7 = 0, -3*g - 19 = -3*j - 4. Suppose 14 = j*c - 0. Calculate the smallest common multiple of c and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t**2 + 2 - 2*t**2 + 0*t**2 - 5*t**2 + (-1 + t**2 + 1)*(2 + 0 - 1) - t**2 + 3*t**2 + 0*t**2)*(2*t**3 + 2*t - 2*t).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 272 = 15*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 + 24*m**2 - 23*m - 64. Let h(c) = -5*c**3 - 20*c**2 + 23*c + 64. Let g(s) = 5*h(s) + 4*v(s). Determine g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1042, 1051, 1108, 1213, 1366, 1567, 1816?\nAnswer: 2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + 94 + 1\/(-1). Suppose -12*b = -14*b - 4*u + t, -5*b - u = -228. Calculate the remainder when b is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/((-12)\/18). Let o = q - -14. Let s = o + -13. Solve b = -4*m - 11, s*m + m - 9 = 5*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoxxoxoxxxxooxxooxx. Give prob of sequence ooxx.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**5 + 23*u**4 - 16*u**4 + 284*u**3 - 116*u**2 + 288*u + 632*u**2 + 53*u**4 + 14*u**5.\nAnswer: 4*u*(u + 1)*(u + 3)**2*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onhhnonnrodehnn. Give prob of sequence oo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-1 - 2*d**3 + 1)*(9*d + 0*d + 0*d) - 4*d**4 + 0*d**4 + 3*d**4 as m + t*d**3 + y*d**4 + s*d + v*d**2 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d**2 + 34*d - 1. Let b be j(3). Suppose -4*u - 34 = -2*y, -b*u - 38 = -0*y - 2*y. Let f = 28 + -20. What is the least common multiple of f and y?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2 and -83\/780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-28))\/(((-12)\/32)\/(-1 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 88.4, 6, -0.01, -4, 1\/7.\nAnswer: -4, -0.01, 1\/7, 1, 6, 10, 88.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 - -2. Suppose 2*g = g. What is the closest to -2 in 3\/7, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33174\/4225 + 196\/25. Let u = d - 3527\/1859. Find the common denominator of u and -34\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -238 and 1387?\nAnswer: -330106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 + 8*l + 8. Let z be q(-6). Let s be (-4)\/(-3)*(-1 - z). Let v = 6 - s. Calculate the smallest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50601*o - 151819*o + 4*o**4 + 2 - 9*o**3 + 50608*o + 50596*o in the form z*o + h*o**3 + p*o**4 + r + c*o**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23681352 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y. Let q(a) = 3 - 4*a + 2 + 2*a. Let o(w) = -2 + w + 1 - 5 + 4. Let b(u) = -5*o(u) - 2*q(u). Calculate b(c(n)).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from drjjjjdrd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 17841 (c) -5 (d) 3\/2 (e) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3914646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**3 + z - 1. Let g = 1 + 0. Let l be r(g). What is the greatest common factor of l and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/150 - s**5\/15 + 6*s**4\/5 + 16*s**2 - 3. Factor l(q).\nAnswer: -4*q*(q - 4)*(q + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4073951)\/(-636))\/139 - 46.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 3. Let l(h) = -h**2. Let r(w) = l(w) - x(w). Suppose -m + 5 = -f - 4*f, 25 = 5*m - 3*f. Calculate r(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86069.64 millilitres?\nAnswer: 86.06964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven fifths of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 2. Let x be o(0). Suppose 0 = x*m - 2*q, 0 = -3*m - 2*m + 3*q + 8. Let i = 39 - m. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Let t(d) = 2*d**3 - 2*d**2 - 3*d + 5. Let w be t(h). Solve -2*p = -w*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**2. Let n(y) be the first derivative of y**2\/2 - 7. What is t(n(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/60 + 3*m**3 + 2*m**2. Let y = 3 - 3. Is 9 a factor of a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**7\/315 + a**5\/30 - a**4\/18 - 13*a**2\/2 - 87*a. Let i(s) be the first derivative of d(s). Factor i(o).\nAnswer: -2*o*(o - 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*k**2*o - 16*k + 8*o + 143 wrt k?\nAnswer: 222*k*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -309, -377, -445, -513?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-8)\/6) + 1. Suppose -l = -3*l - 6. Suppose -5*b - 3*m = 10, -b - 4*b + 3*m + 20 = 0. Sort l, s, b in ascending order.\nAnswer: l, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33810337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/48)\/(4 + 14\/(-4)). Let r(v) be the first derivative of 7 + 0*v**2 + p*v**3 - 1\/4*v. Factor r(s).\nAnswer: (s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k + 171. Let y be p(19). Let i = 348 - y. What is the remainder when 117 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 26. Suppose 12*g - 8*g - 200 = z. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 15*c**4 + 37250*c**3 + 530445*c**2 - 962750*c + 395040 = 0.\nAnswer: -2469, -16, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848956892.\nAnswer: 2, 7, 2203, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158852 is divided by 269856.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 36. Suppose 0*o + j*o - 155 = g, o - 44 = -5*g. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1666 - 1666.0000422. What is l rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and -320024.\nAnswer: 10880816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4154*c - 2. Let s(f) = -137082*f - 67. Give -67*o(p) + 2*s(p).\nAnswer: 4154*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose 0 = 7*s - 2*s + h. Let o be (-4)\/((-12)\/s) + 0. Which is the closest to o? (a) -3 (b) -2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253*c**2*f - 125121*c**2 + 16*c*f wrt f.\nAnswer: -253*c**2 + 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1)*-1 + 3*(-2 + sqrt(272)) + 1)**2.\nAnswer: -96*sqrt(17) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -1555 (c) -2\/11 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2471045*y**2 + 731120*y - 54080.\nAnswer: -5*(703*y - 104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2 + -103 + 80?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334420*m**3 - 656503*m**3 + 322081*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 29 - 4 = 0. Let q be (-20)\/(-6) + 7\/(-21). Solve -q*g = 2*g - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/12*54\/(-36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10701419 smaller than -10701410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3022?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1796974?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630103630 and 2?\nAnswer: 630103630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 + 3)) + (-2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.81 (b) -3 (c) 0.4 (d) -20\/3 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/124, -1\/3?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3589, -8002, -13987, -22330, -33817, -49234, -69367, -95002?\nAnswer: -126925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.393 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1531146?\nAnswer: 1531147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1830?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from {u: 7, g: 1, z: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 131*h**2 + 8. Let u(v) = -13357*v**2 - 814. Let a(p) = 814*m(p) + 8*u(p). Let o(n) = 3*n + 14*n - 4*n - 11*n. Give o(a(w)).\nAnswer: -444*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -62 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 218 - 127. Let t = 48 - m. Let v = 93 + t. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3940 - 3931. Calculate the remainder when 311 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.5 + -13.7. Let l = d + 38.20159. Round l to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5 + 136*n**4 - 2916*n**3 + 21960*n**2 - 66906*n + 71280 = 0.\nAnswer: 3, 5, 24, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 206 - 314 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 10*s + 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -212322?\nAnswer: 212303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1032608.5021 to the nearest one hundred.\nAnswer: 1032600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -k + 5*k - 72, -2*k = f - 39. Suppose 5*q + 16 = -k. Let u = 23 + q. Calculate the remainder when 30 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -15. Let f be 5\/(10\/(-26))*i. What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 3, 10, 3\/46, -4, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312 - 87. Let p = -305.6 - i. Let v = p - 102. Round v to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 1 - 4. Let t be -3 + ((-36)\/3)\/a. Suppose -6 = -0*r - r + 2*m, -5*r + t = -3*m. Which is smaller: 5\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1221.2043ms?\nAnswer: 0.020353405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -24*d**3 - d**2 + d + 1. Calculate the remainder when 411\/6 + (-1)\/2 is divided by v(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:29 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajjjjjajjjjjj. What is prob of picking 3 a?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0*m - 3*m + 6*m - 8.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6167918 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4493, 4467, 4415, 4325, 4185, 3983?\n\"Answer: -2*l**3 - l**2 - 9*l + 4505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -312330*j + 312330*j + 2 - 6914*j**2 as v*j**2 + n + b*j and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 740.\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 1, -15 in ascending order.\nAnswer: -15, -0.4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.4619ng to tonnes.\nAnswer: 0.0000000000000094619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12239 - 12239.46014. Let n = -80.46 - -80. Let m = g - n. Round m to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 1 + -34 + 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t**2 - 13*t + 6. Let k(q) = 8*q**2 + 14*q - 8. What is -2*k(r) - 3*x(r)?\nAnswer: 8*r**2 + 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/(-12) + 7\/42. Calculate the remainder when 97 is divided by (-15)\/b*(-52)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.3, -0.5, -4, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/528180 and -37\/6336.\nAnswer: 278879040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-2\/7))*q)**(1\/28) assuming q is positive.\nAnswer: q**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -16 + 40 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -4621?\nAnswer: 10\/4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 5, e: 5}. Give prob of picking 1 e and 2 y.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-4)\/18*6. Put p, -5, 2 in decreasing order.\nAnswer: 2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -880297 - -1410235649\/1602. What is the common denominator of -49\/890 and u?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 849, 1, -4, -6.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Let m be 1705\/(-16275) - 2\/(-10). Put -2, 4, a, m in ascending order.\nAnswer: -2, m, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 19*q + 246. What is the remainder when h(-13) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 5. Let d = 4 - 0. What is the third derivative of d*k**4 - a*k**4 + k**5 + 2*k**2 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 8*j**2 + 37517180*j - 37517180*j - 4*j**2 + 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 5\/48*x**8 - 3\/8*x**6 + 5\/42*x**7 + 0*x + 5\/12*x**4 - 5\/12*x**5 + 0 - 20*x**2 + 0*x**3. Find y such that a(y) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -1075*n**4 + 15*n**3 + n**2\/2 + 2*n - 2347. What is the third derivative of p(l) wrt l?\nAnswer: -25800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -539243008 by 118.\nAnswer: -4569856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24126.\nAnswer: 2, 3, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*s**3*y - 99*s**3 + 9*s**2 + 37497*s*y wrt s?\nAnswer: -132*s*y - 594*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzmxi. Give prob of picking 1 k and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 22*q. Let z(d) = 4*d. Let y(f) = 8*f. Let c(u) = -3*y(u) + 8*z(u). Calculate c(m(b)).\nAnswer: 176*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**4 + 3726974*y**3 + 145*y**2 - 654*y - 16 wrt y.\nAnswer: -48*y + 22361844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 + 472. Let u = m - 103. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 12:06 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) 18\/5 (c) 5 (d) -55 (e) 3\/5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(4\/9))\/f**(3\/4)*(f**(2\/7))**(-21\/4)*((f\/((f\/(f*f\/(f*f**5*f*f)))\/f*f*f))\/f**6)**(4\/7) assuming f is positive.\nAnswer: f**(-2075\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 1, a: 2, q: 3, v: 1, b: 1}. What is prob of picking 1 v and 2 q?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 5*m**5 + 2*m**5 - 3*m**4)*(-2 + 0 + 6).\nAnswer: -12*m**5 - 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (14 - 4)) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let k(l) = 44*l + 2. Let w(a) = 265*a + 12. Let n(r) = 6*k(r) - w(r). Let b(o) = o**2 + 2*o. Calculate q*b(f) - 2*n(f).\nAnswer: 2*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 6*w**2 + 7*w - 5. Let q(u) = -u**3 - 9*u**2 - 9*u - 2. Let v be q(-8). Is d(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(612)*2 + -4)**2 - ((sqrt(85)\/(sqrt(45) + sqrt(5)) + -2)*1 + -1).\nAnswer: -577*sqrt(17)\/4 + 2489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7736 times -0.3\nAnswer: 2320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (9 + (20 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-3 + 2) + -3. Suppose w*u = 3*u - 1. Let d(f) = -12*f**3 + f. What is the remainder when 20 is divided by d(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 483\/28682 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1059 and 24710?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.32 - -0.32. What is the closest to c in -0.5, 4, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 53*j + 2. Let i(b) = -582*b - 22. Let x(p) = 2*i(p) + 22*l(p). Let n(o) = 68*o + 13. Give n(x(k)).\nAnswer: 136*k + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 22*q - 23. Let f be w(-23). Suppose -4*o + 425 = 3*m, -7*o + 2*o - m + 523 = f. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523108 is divided by 989.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 73*o**9\/42 - 13*o**5\/12 - o**4\/24 + 34*o**2 + 7*o. What is the third derivative of t(q) wrt q?\nAnswer: 105120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 13 - 4*i**3 - 2 in the form x*i**2 + g*i**3 + z*i + o and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15 = 3*v. Suppose 5*b - v = 0, -2*b = 3*c - 18 - 0. Suppose 0 = 5*z - 5, -2*o = -0*o - c*z. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4\/5 + 3*q**2\/5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134923567*t**3 + 67461773*t**3 + 67461778*t**3.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26097*x**5 - 3339*x**3 - x**2 - x + 43519365 wrt x?\nAnswer: 1565820*x**2 - 20034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1250342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 810 = 12*k. Let r be (2\/(-9))\/((-15)\/k). Suppose 0*v - v - 1 = 0. Sort 7, v, r in decreasing order.\nAnswer: 7, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/3 - 46753*q**4\/3 - 327157*q**3 - 4626347*q**2\/3 + 5654572*q\/3 = 0. What is q?\nAnswer: -46732, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4 - 8, 4*f = 5*n - 16. Let w = f + -1. Suppose m + 0*m + p - 4 = w, -5*m = -5*p - 10. What is the least common multiple of 11 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.07, 30\/13, 3\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwvppvvppwv. Give prob of picking 2 v and 1 w.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/8363080 and -43\/1540?\nAnswer: 58541560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -888 (base 11) to base 2\nAnswer: -10000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + m**2 - 769*m**3 + 771*m**3 + 60*m**4 - m**2 - 2 as d*m**4 + w + s*m**3 + g*m**2 + k*m and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/187068 and 109\/13755.\nAnswer: 935340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) -512 (c) 0.3 (d) 21501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17041\/23 - 741. Which is bigger: -5\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -60319?\nAnswer: -60325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 268347230 a multiple of 2495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -64, -64, -30, 50?\n\"Answer: 2*c**3 - c**2 - 33*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -2*i**7\/945 + 7*i**6\/1080 - i**5\/270 - i**4\/216 + 4*i**2 - 104. Factor w(v).\nAnswer: -v*(v - 1)**2*(4*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2 + (-90)\/(-60). Let d(a) = 10*a**3 - 2*a**2 + 3. What are the prime factors of d(f)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -447, -688, -951, -1242?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 288 = 0. Let b = -68 + 188. Let i = b - n. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86803.9ug to nanograms.\nAnswer: 86803900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3216392*w**3 - 2826*w - 60 wrt w?\nAnswer: -19298352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - a + m + 5, -3*a = 2*m + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*u - 6457 = -5301 + 16474 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -s. Solve -2*j + 5 = s*b - 12, 7 = -5*j + 4*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -203, -1083, -3451, -8051, -15627, -26923, -42683?\n\"Answer: -124*j**3 - 12*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 35*r**4\/2 - r**3\/3 - 3*r**2 - 23. Find the third derivative of l(f) wrt f.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {f: 2, g: 9, b: 5}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192251 is divided by 61278.\nAnswer: 8417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 18 = 2*s, 4*s - 2*s + 10 = 2*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:50 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -0.20936.\nAnswer: -54.20936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*u - 1 = 24, q + u + 5 = 0. Suppose q = -4*f + 3*f + 7940. Is 9\/(-15) + f\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -25*p - 500. Let a be b(-20). Let h(k) be the second derivative of -1\/27*k**3 + 1\/18*k**4 + 1\/135*k**6 - 1\/30*k**5 - 10*k + 0 + a*k**2. Factor h(u).\nAnswer: 2*u*(u - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2 + 10\/8). List the prime factors of (-8)\/(-32) + (-166)\/h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103719347 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: List the prime factors of 1768586979.\nAnswer: 3, 6917, 85229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -0*m - 7*m. Suppose 3*o + 2*h + 8 = 0, -28*o + 26 = -m*o + 4*h. What is the third biggest value in o, 2\/11, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1*g)\/g)\/g*(g*g*g*(g\/((g\/(g*g**(-3)*g))\/g))\/g*g)\/g*g)**(-10) assuming g is positive.\nAnswer: g**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 5036*y - 20208.\nAnswer: 4*(y - 1263)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.05164*0.2.\nAnswer: 3.610328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 7*f**2 - 9*f + 9. Let h be k(-4). Which is the smallest value? (a) -41 (b) h (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.04 - -3.368. What is b rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {w: 2, g: 1, k: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157900 and 39730?\nAnswer: 627336700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/5*j**5 - 40\/3*j**3 + 2\/3*j**4 + 0 + 48*j**2 + 44*j. Factor r(m).\nAnswer: 4*(m - 2)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/4 - 2606*c - 6791236 = 0.\nAnswer: -5212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 38. What is the units digit of f*(1 + 0) - -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. What is the closest to -1 in -0.4, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(78)*3 - sqrt(78) - sqrt(78))\/(sqrt(486) - (sqrt(486) + sqrt(486)*-2 + sqrt(486))) + 4.\nAnswer: -20*sqrt(13)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 6, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 2*l**2 - 14*l. Let a be v(5). Solve -7 = -w - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3508619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + 0 - 2*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/26 in 44.05, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 + b - 4. Let j be k(0). Let m(h) = -4*h**2 + 2093 - h**3 + h**2 - 2096 - h**2. What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - m**3 + 0*m**3 + 2 - 3*m**2 + 2*m**2 + 1. Calculate n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 120, 460, 1024, 1812, 2824?\n\"Answer: 112*i**2 + 4*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, 73699 in descending order.\nAnswer: 73699, 24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 5) in base 16?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158267 is divided by 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684081, -1368350, -2052619, -2736888?\nAnswer: -3421157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -6619?\nAnswer: -39714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 divided by 4.\nAnswer: -133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:42 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80077, -81709, -83343, -84979?\n\"Answer: -o**2 - 1629*o - 78447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 - 9*i + 3. Let n be 66\/10 - (-20)\/50. Is p(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g*g**(-11)\/g)**(-50) assuming g is positive.\nAnswer: g**750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -234591, -234556, -234521, -234486, -234451?\n\"Answer: 35*a - 234626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*a**2 + 1922*a**2 + 857*a**2.\nAnswer: 2643*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 2. Let q = x + 1. Suppose 2*f + 4*d - 13 = 9, -5*d = q*f - 28. Sort 5, -4, f.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)\/(u*u\/(u*u*u**(-1\/4)*u)))**3 assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 3*p + 10. Let w be s(2). Suppose w = -3*h - 3*d + 642, 3*h - 647 = 3*d + 25. List the prime factors of h.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -448 - -450. Let t = 11 - 7. Suppose h = -t, -h - x*h - 4512 = -3*n. Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsyseycsyycexsyscy. What is prob of sequence xcxs?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8420, -21806, -35192, -48578, -61964, -75350?\n\"Answer: -13386*k + 4966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from redpedgeedzr. Give prob of picking 1 z, 2 r, and 1 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:18 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 21*u + 6. Calculate g(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 14 = 19. Suppose u + 7 = k. Suppose 32 + 3 = 5*q. Calculate the remainder when q is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:48 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4314414432?\nAnswer: 4314414442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)*(-6 + 1). Let l(n) = -3*n**2 + n**2 - 3 + 5*n**2 + 0*n**2. Let z(g) = -4*g**2 + 4. What is f*z(k) - 7*l(k)?\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25175951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, -198, -293, -368, -417, -434, -413?\n\"Answer: b**3 + b**2 - 119*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15201073 a multiple of 2094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5550571, 11101143, 16651715, 22202287?\n\"Answer: 5550572*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 28 - 269 - 368 + 126.\nAnswer: -i - 539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1551 and 486732.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1225.205+39120\nAnswer: 37894.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332 - 61912.2.\nAnswer: -61580.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 28 = 5*w + y, 5*y = -5*w + 35. Let f(q) = -q**2 + 5*q + 16. Let c be f(w). Suppose c*d - 80 = 34. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15382 divided by 2474.\nAnswer: 7691\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrhrbbbbbhrhrbbh. What is prob of sequence rrr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1311*k - 658*k - 654*k. Let j(t) be the second derivative of -3*t**3 - t. Determine j(o(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/2 + 2*f**3 + 3*f**2 + 5*f + 7. Let i(g) = -3*g**2 + 20*g**2 + 0*g - 6*g**3 + 14 + 17*g. Determine 6*i(y) - 17*l(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9 - 1 = 2*y, -3*y - 3*w + 21 = 0. Let z = y - 5. Suppose z*c + 0 = 5*g - 15, 2*c + 6 = 2*g. Solve 2*a - 5*q + q = -8, 2*a - 5*q + 10 = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*l - 9*l**4 - 5*l**4 - 44*l - 2*l**2 + 4 + 87*l - 13 as d*l**2 + p*l**3 + o + g*l**4 + w*l and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/3763 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4170?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -640?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31068 - 22132. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49978330 and 1588?\nAnswer: 99956660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30383364 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1115 + -104. Suppose 0 = -7*n + 6702 - z. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28583722.1 rounded to the nearest 1000?\nAnswer: 28584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-77)\/504)\/((2\/6)\/1). Let p = -1\/8 - x. What is the nearest to 2 in -3, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 8938 - 4*i - i + 2154.\nAnswer: i + 11092","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 24*i + 18. Let y(h) = -h - 1. Let m(o) = -b(o) - 18*y(o). Calculate the lowest common multiple of m(-2) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6141299.\nAnswer: 23, 137, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*r - 2 = 7, 15 = 5*o - r. Suppose 2*f - o*f + 36 = -z, -4*f + 162 = 2*z. Calculate the remainder when 115 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/28 and 69\/579159658.\nAnswer: 1158319316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l = 3*w + 53, -l - 3*w = -25. Let a be 0\/(0 + 2) + 1. Let k = -5 + 5. Solve 0*j = 5*f - j - l, -f - j - a = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -93, -125, -137, -123, -77, 7, 135?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1590 (base 11) to base 8.\nAnswer: -3763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 16) in base 13?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 680442 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-23)*m)\/(m**(-16)*m*m)*(m**11*m)**(-2\/33) assuming m is positive.\nAnswer: m**(-96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**17\/g*g*g\/((g*g**4*g)\/g)*g assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*sqrt(99) - (sqrt(99) + sqrt(99)*2 - sqrt(99))*4) + 3*(2*sqrt(99)*-1 + sqrt(99)))**2*-3.\nAnswer: -50268 - 1170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-2\/9))*g)\/g*(g\/(g**(-5)*g))\/g)\/(g*g\/g**(1\/3))**(-31\/2))\/((g*g*g*g*g**3\/g)\/((g*g**7*g)\/g))**(-1\/11) assuming g is positive.\nAnswer: g**(5915\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1014*g**2 - 8*g - 4. Let r(z) = -2*z**2 + 2*z + 1. What is -m(h) - 4*r(h)?\nAnswer: -1006*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37217.\nAnswer: 37217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 703 + -500. Let c be 212\/2*-1 + -2. Let t = c + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 16) in base 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/102 and -3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2, y: 7, x: 1, r: 1, m: 1}. Give prob of sequence yr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2867 or 1?\nAnswer: 2\/2867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 921 - 585. Is r a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -950, -2219, -3962, -6161?\nAnswer: -8798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 4*q)*(7 - 3 - 2)*(-6*q**4 + 21*q**4 - 11*q**4).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1128.63 and 226450?\nAnswer: 227578.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 4*y**3 - y**3 + (-3*y + 2*y + 3*y)*(-2*y**2 + 3*y**2 - 4*y**2) to the form m + g*y**3 + o*y + d*y**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)*q*q\/(q*(q\/q**0)\/q)*q**(-2\/3)\/(q\/q**(1\/5)))**(-2\/61) assuming q is positive.\nAnswer: q**(8\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 4 - 2 - 1. Let f be d(1). Suppose 5 + 15 = 2*l. What is the highest common factor of l and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 11\/2 (b) -12\/13 (c) -9 (d) 20 (e) 1 (f) -5 (g) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.9002 and -0.5.\nAnswer: 6.9501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -0.002, 68, -4?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/(24\/(-10116)). Let n = v - -836. Calculate the remainder when n is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -10*m - 2004. Let g = m - 353. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100240 by 1.\nAnswer: -100240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -7\/6, -3 in ascending order.\nAnswer: -3, -7\/6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/11))**(-47) assuming h is positive.\nAnswer: h**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 15 - (-12)\/(-8 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 + 0 + (-4 - -4). Let u = c + -19. Solve -2*s = 5*v + 21, 2 = -v - s - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)\/(-1) + -4. Suppose 3*s = s + 2*t + 10, 3*t + 15 = -s. Suppose -a - 3*g + 1 + 11 = 0, s = -4*a + g - 17. Sort a, -2, p.\nAnswer: p, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 + t + 1. Let v be m(2). Let x = v + 69. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-1)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 3 + 10*d**3 + 3 - 15*d**3.\nAnswer: -5*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 - 15*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and -0.272?\nAnswer: 0.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -841 divided by -1.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from bbaaaaa.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffftttttttfttfttnfft. Give prob of sequence tt.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 97290890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -181. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1439082, -2878156, -4317224, -5756286, -7195342?\nAnswer: -8634392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 90*j**3 + 9*j**2 - 276*j + 180.\nAnswer: -3*(j - 30)*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 714145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**2 - 2*f**2 - 4*f**2. Let m(h) be the second derivative of -h**4\/3 - 3*h. Determine m(z(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 - 100 - -71) + 20?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43470 (base 11) to base 2\nAnswer: -1111011010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**3 - 22*q**3 + 71*q**3 - 24*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*u + 2130 = -2496 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - -4.5. Let i = -7 + q. Let r = 1.6 + i. Which is the closest to -1? (a) -3\/4 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/40 and -109\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -514 + 10796\/21. Which is the second smallest value? (a) 5 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 4*g**2 + 2*g**2)*((1 - 1 + 1)*(1 - 4 + 1) + 6 - 1 + 1).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 0. Suppose g + 2*o + o - 55 = u, 3*o - 101 = -2*g. What is the remainder when 181 is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 850608, 850597, 850576, 850545?\n\"Answer: -5*w**2 + 4*w + 850609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 5*p + 12. Let g(v) = v**2 - 4*v + 11. Let w(n) = -6*f(n) + 7*g(n). Let k be w(0). Solve -2*y = -a + k, 5*a + 0*a = -3*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 3. Let c(o) = -1870*o - 990. Give -c(a) + 330*m(a).\nAnswer: 1210*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - m - 1)*(2*m + 2*m**2 - 2*m) - 22*m**3 + 34*m**3 + 88*m**3 as u*m**3 + n*m + f*m**2 + z and give u.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 2. Let h be a(-2). Solve -4*b + 2 = 2*s, 5*b - 2*b - 2 = -h*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 228588*b + 13063118436.\nAnswer: (b + 114294)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 at most as big as 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 10. Let n(b) = -b**2 + 2*b + 5. Let h be n(5). Let o be q(h). Suppose o = -3*z + 12. Solve 0*y = -z*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 9) in base 4?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {k: 3, s: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062651447 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-207)\/69*(-24)\/8*3\/54*-1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l**2 - 7*l - 7. Let o(a) = 9*a**2 + 4*a + 4. Let v be 4 - ((-8)\/4 + -5 - -4). What is v*o(k) + 4*n(k)?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y. Let t(j) = -34*j**2 - 36*j. Let u(c) = c**2 - c. Let f(p) = -t(p) - 4*u(p). Let w(q) = 25*b(q) - f(q). Factor w(v).\nAnswer: -5*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814*x - 3746 = -118 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 5*l**2 - 6*l**2)*(-2*l + 7*l + 0*l + (0*l + 4*l - 3*l)*(2 - 3 + 0) + 3*l + 2*l - 7*l + 2*l - 2*l - l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(19\/2)\/a))\/(a\/(a**(-43)\/a)*a))\/(a\/(a*a**(-34)))**43 assuming a is positive.\nAnswer: a**(-3031\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 191*b**7\/210 + 5*b**3 - 182*b**2 + 2. Find the first derivative of x(h) wrt h.\nAnswer: 764*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 99*m + 17\/2*m**2 + 1\/6*m**3 + 0. What is b(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/6 + 7)\/(4\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*o - 9 + 19*o + 22*o as a*o + c and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-30)*45\/54. Which is the closest to 0.1? (a) -0.4 (b) -2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:10 PM?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 8) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14578, -14544, -14492, -14422, -14334, -14228, -14104?\nAnswer: -13962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose -7 = -f*d + 5. Factor -2\/5 - 9\/5*q - 3\/5*q**2 + 4\/5*q**d.\nAnswer: (q - 2)*(q + 1)*(4*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/10 - (-8)\/20. Suppose -4*v - 2 = g. Suppose 3*a - 17 = -4*k, -5*k = -10 - 15. Is a > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 30954.55 to the nearest ten.\nAnswer: 30950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 44 in decreasing order.\nAnswer: 44, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1408?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(312)\/(sqrt(24)\/sqrt(4)))\/(3*-2*sqrt(4)) + 4 + sqrt(832) + sqrt(52)\/sqrt(4) + 1 + -3.\nAnswer: 2 + 29*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1010101110010 (base 2) to base 13\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 9*u**2 + 9*u + 12. Let x be m(-8). Suppose -5*v + 2*n = 0, -16 = -0*v - 2*v + x*n. What are the prime factors of -11*(-3 - v)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -1283*l**6\/30 - 5*l**4\/6 + 2*l**2 + 250*l + 1. What is the third derivative of z(r) wrt r?\nAnswer: -30792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-12))\/(15\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by 15.\nAnswer: -364\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654 = 611*m + 716*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000486 to 7 decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(204))\/sqrt(12) + -3.\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 11*k**2 + 19*k - 5. Let d be g(-13). Suppose u = 2*w + 82, -u - 7*w = -5*w - d. What is the highest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) -1 (c) 3 (d) 0.155 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2318 and 202886.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2\/9, 3, 1\/5, -2, -22\/109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1082418\/7 - 154182. Let r = 448 - c. Let n = -2 - 0. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*l - 64. Which is greater: -12 or l?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 140 + 250 - 110.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.21 + 11.7.\nAnswer: 43.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 5*s - 7. Let j = -33 + 44. Suppose j*w + 156 - 46 = 0. Let l(t) = -2*t**2 - 3*t + 4. Give w*l(n) - 6*z(n).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 28 = -2*j. Let r(l) = -l + 2. Let n be r(j). Let o = 10 + n. Solve -o*i - 3 = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 14, -0.9, 3\/14?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:59 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -5*v - 348. Let g = v - 38. Suppose 4*k - 3*p = 64, 5*k - 2*p + 6*p - g = 0. What is the remainder when 63 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 28*y + 38. Let v(h) = 4*h - 38. Let c be v(16). Does 6 divide g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c. Let l be a(5). Suppose 0 = 4*y + 1 - 13. Suppose -y*x + l = -x. Solve x*k - 3 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 75?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q**2 + 3*q. What is a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*b = -143*b - 2*d - 23, 5*b - d = -47 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*p + 16004 = 0, -4*n + 3*p + 15021 + 1004 = 0. Suppose -3*u + n = 19*u. What is the greatest common divisor of 52 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -469 + 36c9?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1365 + -922. Suppose -7*l - 65 = -w. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22897108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/3 + 97984564*k\/3 + 1200121847783762\/3 = 0. What is k?\nAnswer: -24496141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - 2 - (-7)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531968 + 10*d + 531968.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u + i - 3, -u - 5*i = -3. Let c = -9 + 11. Solve 7 = -5*m + c, 5*g - u*m = -22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1576 divided by -459\nAnswer: 1576\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5524434 (base 6) in base 2?\nAnswer: -1000011010101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 4318372*w\/5.\nAnswer: -2*w*(w - 2159186)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4430 - -4429.7. What is the closest to 1 in -3\/7, 5\/8, r, -2?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 9*h - 25. Let o be r(-6). Let p = o - -103. Calculate the remainder when p is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/171 and 13\/684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -50 - ((23 - -23) + -42 - (10 - 1))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.93654 - -0.06346. What is the nearest to -2 in -2, f, 3\/2, -4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 7*h**6\/30 + 13*h**5\/30 - h**4\/12 - 111*h**2\/2 - h - 1. Let g(x) be the first derivative of n(x). Factor g(q).\nAnswer: 2*q*(q + 1)*(14*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {p: 4, u: 1, b: 3, j: 1, h: 1, l: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465973 by 286.\nAnswer: 465973\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.1 (c) -0.03 (d) -7.98 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6 - 2)*-12. Let h be (14*2)\/(16\/8). Suppose 3*s - 13 = h. Calculate the highest common divisor of c and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v + 5. Let s(j) = 3045*j + 33497. Let d be s(-11). Let w = 2 - 7. Let r(c) = 5*c + 2. Calculate d*l(i) + w*r(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hddc when four letters picked without replacement from hdhhhhdhchhdhhh?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/20 - (-34)\/10. Let t(x) = -x**2 + 6*x - 5. What is the units digit of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 108. Let d = o + -18. Let g = d + -3. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*y + 11. Let m = 12411 - 123999\/10. What is the common denominator of m and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x - 9. Let u = -9 - -16. Let f(g) = 7*g + 4. Let b(r) = u*f(r) + 3*z(r). Is 17 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1565*j**2 + 28*j - 4. Let a(l) = 3132*l**2 + 71*l - 9. Calculate 2*a(v) - 5*x(v).\nAnswer: -1561*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 + 4) - (5 + 24 + -20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/(-300) + (-2)\/(-60). Factor x*d + 1\/3*d**2 - 2\/3.\nAnswer: (d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*b - 12 = 0, 4*m = -3*b + b - 8. Let d = 0 - m. Let q = -31\/46 + 4\/23. Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 46 + -2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 - 2*m**2)*(8*m - 38 + 38)*(8*m**2 + 15*m**2 - m**2).\nAnswer: -176*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169179212511 + 4*v**2 + 8*v**2 + 169179212511.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*s, w = -4*w + 2*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + v**2 + 7*v\/5 + 3\/5.\nAnswer: (v + 1)**2*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*977898\/(-3). Suppose -319032 = -5*n - t + g, -4*n + 2*t = -516004. What is n rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yyrrlyypy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78164*q = -78165*q - 5*b - 40, -7*q + 26 = b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 109*s + 108*s = -6, c = -s. Let m(y) be the first derivative of 15 + 0*y**2 + 0*y + 8\/3*y**c. Let p(i) = 7*i**2. Determine p(m(g)).\nAnswer: 448*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4141.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 407015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 38*z - 7. Let r = 58 + -56. Calculate the remainder when t(r) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 6242?\nAnswer: 35\/6242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32335 at most as big as 32336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16796319, -16796320, -16796321?\nAnswer: -16796322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:31 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/3 + 77*z**4\/3 - 167*z**3 - 233*z**2\/3 + 1340*z\/3 + 332 = 0 for z.\nAnswer: -83, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*b + 80 = 0, -b = -r - 2*r + 95. Is r < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -166784421?\nAnswer: 166784422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8*d**2 + 18*d + 5. Let h be i(10). Suppose 23*m - 28*m + h = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**3 - 117*l**3 + 4 + 29 - 5*l.\nAnswer: -139*l**3 - 5*l + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 17 + 10 - 10*d**2)*((d**2 - d + d)*(3*d - 4*d + 2*d) - 13*d**3 - 17*d**3 + 12*d**3).\nAnswer: 170*d**5 + 153*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(972\/120))\/(-1*4)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - 64. Calculate the highest common factor of 90 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - c**2 + 0*c + 2*c - c**2 - 2*c + (-1 - c + 1)*(-c + 5*c - 2*c) - 2*c - c**2 + 2*c - 3*c**2 + 3*c**2 - c**2 - 43 + 43 - 5*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 18*m**3 + m**2 + 9*m**2.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 8\/(((-15)\/20)\/(-3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-24) assuming p is positive.\nAnswer: p**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6, 9, -2, 5, -4, 1 in descending order.\nAnswer: 9, 6, 5, 1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 less than -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2*x**3\/3 + 6901. Let j(m) = 1281*m. Give w(j(d)).\nAnswer: -3281922*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.147153408 to two decimal places.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 5*t - 3*t - 6*t. Let r(i) = i. What is v(r(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = -5*l, -9 = -3*l + 3*g - 8*g. Let m = l + -5. What is the least common multiple of (3 - -3)\/(1\/m) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 7*c - 5*c)*(-40*c**4 - 8*c**4 - 9*c**2 + 10*c**2).\nAnswer: -240*c**5 + 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.75213 meters in kilometers?\nAnswer: 0.04675213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + 6 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 + 164436*t**2 - 1689374208*t - 11833678192 = 0 for t.\nAnswer: -7, 20558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -66, -102, -138?\n\"Answer: -36*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -243?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n*p**4 + 113*n*p**3 - 2*n*p**2 - 1023725*n + 95*p**4 wrt p.\nAnswer: 120*n*p + 678*n + 2280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -29. Let h(f) = -19. Let i(c) = -2*b(c) + 3*h(c). Let t(j) = -1 - 9 + 2 - j. Calculate -5*i(o) - t(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 = -4*r + r, 4*r = p + 11. Suppose -3 = c - r*a, 0 = c + 3*a + 2*a - 21. Let k = c - 2. Calculate the remainder when k is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i**3 - i**2 + 4*i + 5. What is s(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15033.0116 + -15068. Let t = -57.35 - -92.35. Let u = t + f. What is u rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, v: 5}. What is prob of sequence vvv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s = 2*w - 10366, -5*s - 2*w = -12956. What is s rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:08 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 180.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 289755*d - 157 - d**3 + 3*d**3 - 289757*d in the form r*d**3 + w*d + a + n*d**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -303*k**2 + 27*k + 11. Let c(s) = 61*s**2 - 6*s - 2. Determine 22*c(w) + 4*p(w).\nAnswer: 130*w**2 - 24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -69, -112, -161, -210, -253?\n\"Answer: p**3 - 12*p**2 - 2*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 664608, 1329217, 1993826, 2658435, 3323044?\n\"Answer: 664609*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.009618\nAnswer: 0.04809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 6. Suppose 0*h + 4 = 4*h. Let w = -1 + 0.6. What is the third biggest value in h, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17172 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.10550858 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 18*f = 0. Suppose f = 24*m - 15*m - 27. Suppose 14 = 4*x - 2*u - m*u, -x - 1 = u. Solve 1 = w - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 79972*p**2 - 319882*p + 6. Determine j(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 600660512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 62*b. Let o(x) = -7*x. Let i(t) = 6*a(t) + 52*o(t). Let l(r) = -6*r**2 - r**2 - 5*r**2 + 9*r**2. What is i(l(u))?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:38 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from yhhwhwhhhhhyhn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(5)*-5 - (2*sqrt(64))\/sqrt(2))\/(sqrt(32)\/sqrt(8)*-1 - (sqrt(1584) + sqrt(44) - sqrt(44))\/sqrt(11)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5343 (base 6) in base 4?\nAnswer: -102333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 + 2*b**2 + 2*b + 1. Let z be g(-1). Let u = -5 + z. Suppose -2*p - 2*p = u. Solve p = d - 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*t = 153*t + 70. Let m(k) be the second derivative of 1\/3*k**3 + 0*k**t + 0 + 6*k. Let x(u) = 12*u**2. What is x(m(w))?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 2. Let a(o) be the first derivative of o - o**4 - 12 + 0*o**4 + c. Differentiate a(k) with respect to k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57687, -57691, -57697, -57705?\nAnswer: -57715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h + 10, 5*x = 2*h + 13. Sort x, 2, -4 in increasing order.\nAnswer: -4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-132) - (-84)\/33. Suppose -i*a + 5*b = 10000, a = -2*a - 3*b - 15000. Round a to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -325 (b) -0.2 (c) 0.1 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4547285241.\nAnswer: 3, 71, 367, 58171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388*-258.9.\nAnswer: -100453.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -341664*g**3 - 166530*g**2?\nAnswer: -2049984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a - 33. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -416969, -833960, -1250951, -1667942, -2084933, -2501924?\n\"Answer: -416991*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11 - -6) + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57737 - -6?\nAnswer: 5773d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37038.\nAnswer: 2, 3, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*q + 8 + 2, 0 = q - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6829 is divided by 134?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416 = 104*q + 51*q - 2149 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4\/2)\/(-12))\/(23\/(-2300)). Is 16 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 w, and 2 p when four letters picked without replacement from {w: 1, q: 1, d: 2, p: 3, j: 3, o: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 414112, 828211, 1242296, 1656361, 2070400, 2484407?\n\"Answer: -o**3 - o**2 + 414109*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k - k, 0 = -3*m - k - 2. Let g(d) = d**3 - 17*d**2 + 63*d + 69. Let n be g(10). Put -2\/5, m, n in descending order.\nAnswer: m, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/120 - 7*f**5\/60 + 5*f**4\/12 - 9*f**3\/2 + 22*f**2 - 2*f. Determine g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:49 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22878 in -0.4, 44, 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/91 + 2\/21. Let j = -5 - -5. Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = c + 2*f, -4*c - 4*f - 10 = -2*f. Let d = 9 + c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**7*p**(-12)*(p**(-2\/15))**(-16))**(-12\/5) assuming p is positive.\nAnswer: p**(52\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 3*q**7\/7 + 7*q**4\/4 - 2*q. What is the third derivative of c(n) wrt n?\nAnswer: 1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/36582 and 107\/15678?\nAnswer: 109746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 320, 620, 904, 1166, 1400, 1600?\n\"Answer: -g**3 - 2*g**2 + 313*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 - -4?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u. Let w(d) = -1504131*d**2. What is m(w(b))?\nAnswer: 4512393*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*u = -824*u + 11496. Let w = -67 + 131. Calculate the greatest common divisor of w and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 85344?\nAnswer: 85347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -179, -153, -107, -35, 69?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -770 + 767. Let t = -0.4 + -0.1. Which is the smallest value? (a) t (b) -1\/5 (c) 4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let h be u + (1 - (-15)\/(-24)). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1344320030 (base 6) to base 10.\nAnswer: -16448850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*a + 112*a - 305. Let q(j) = -j + 4. Let o be q(2). Suppose o*z + 0 = -b + 20, -z + 5*b - 12 = 0. Solve -3*c + z*c = a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 3*u**2 - 10*u - 8. Give y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 39 = -11*t. Calculate the remainder when 48 is divided by (t\/6 + 0)\/(4\/(-60)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/21)\/((-7)\/(-189)*-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1)*2 + (sqrt(98) + -1 - sqrt(2))*-4 + -3.\nAnswer: -6*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*k**3 - 3*k**2 + 3*k**2)*(-k + 0*k + 2*k) - 22 + 25*k**4 + 22 to the form q*k**4 + s*k**3 + j + w*k**2 + o*k and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3121 (base 4) to base 16\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*t**3 + 2*t**2 - 476*t.\nAnswer: -804*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2. Let d(r) = -3. Let l(k) = 62*k**2 - 12. Let v(b) = 4*d(b) - l(b). Give u(v(f)).\nAnswer: -11532*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from {r: 3, y: 9, m: 2, t: 4}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 4*i + 105*i**2 + 25*i**2.\nAnswer: 130*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3 - 5*f**2 - 51*f - 63437 wrt f?\nAnswer: 6*f**2 - 10*f - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/2)\/x))**45\/((x\/(x*x**(-3)))\/x**(2\/15))*x**(3\/2)*x\/x**(4\/7)*(x\/(x*x**(3\/4)*x))\/x**(-2\/15) assuming x is positive.\nAnswer: x**(27277\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -77*h**2 + 3*h + 786. Let q(m) = 51*m**2 - 2*m - 523. Let s(u) = 5*i(u) + 7*q(u). What is the first derivative of s(d) wrt d?\nAnswer: -56*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-56)\/(-35)*20954*5\/8?\nAnswer: 2, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*s + 725 - 725)*(s + 3*s**2 - 5*s**2 + 0*s).\nAnswer: 136*s**3 - 68*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 350*a**3 + 80*a + 80. Let j(k) = 13*k**3 + 3*k + 3. Let g be ((-6)\/24)\/(4\/(-48)). Determine g*s(c) - 80*j(c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 6*t**2 + 5*t + 3. Let f be s(5). Solve 3 + 3 = 3*n + 5*z, -z = -f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, 89, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - ((1 + sqrt(1216))*-1)**2) + (sqrt(19) + sqrt(76)\/(-3*sqrt(4) - sqrt(4)) + 3)**2.\nAnswer: -19157\/16 - 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 3*d**2 - 10*d - 5. What is s(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17746993 is divided by 43180?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 8513 = 1324. What are the prime factors of d?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*l - 40*l + 11*l)*(-5*l - l**2 + 5*l).\nAnswer: 63*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 1005*n**2 - 6850*n + 11640.\nAnswer: -5*(n - 194)*(n - 4)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -62879*t - 188755. Give d(-3).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56869 - 24749. Is m a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*s = -4*s. Let h(n) = -10*n**3 + n**2. Let z be h(-1). Suppose -3*o + 4 = -2*l, s = -3*o - l - 4*l + z. Solve o*a - 5 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18560.32 + -19442. Let l = -408.47 - n. Let c = l - 471. What is c rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1265640 and 369145.\nAnswer: 8859480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73c8d (base 16) to base 2.\nAnswer: 1110011110010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -41\/2700292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3) + (-4)\/6. Let t be ((-20)\/12)\/(1\/(-3)). Let i = t + f. Solve 3*o - 2*d - 10 = -o, -12 = -i*o + 3*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/378 and -6\/37?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10960513801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102.6+186\nAnswer: 83.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15*(-4125)\/550?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 1708*v + 13408.\nAnswer: 4*(v - 419)*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 24*o**2 + 10*o + 6. Let k be a(7). Suppose -k = -7*d - 412. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24542.19802 rounded to the nearest one hundred?\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u + 6083 = 149*u - 130*u for u.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 35 = 5*o, -6*o + 4*c - 178 = -o - 170 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + x**2 - x + 1. Let o(q) = -6*q**3 + 14*q**2 - 12*q - 6. Let n(v) = -o(v) + 5*w(v). Determine n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 71. Let c = -58 + r. What is the tens digit of (-3628)\/c + (-12)\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/5*(-2)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336.63 rounded to zero dps?\nAnswer: 5337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*s = 33, 5*s + 1 = -4. Let t(p) = 6*p - 4. Let v(x) = 7*x - 5. What is r*t(n) + 5*v(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 84. Let x be (-5 + 3)\/(1\/(-4)). Solve g - y = -0*g - x, j = -3*g + 4*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3291, -6329, -9367, -12405, -15443?\nAnswer: -18481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(512))**2 - (sqrt(4608) + -1)**2) + 4.\nAnswer: -4094 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 greater than 13869\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1976054 and 1994?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 5, y: 4, k: 3}. Give prob of picking 1 y, 1 t, and 1 k.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -45.4. Let j = i - 17. Let k = j - -3.59999832. What is k rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 12*f**2 + 16*f.\nAnswer: -4*f*(f - 4)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00338514127 rounded to six dps?\nAnswer: 0.003385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210203389 to the power of 1\/2, to the nearest integer?\nAnswer: 14498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = k - 14, 2*s - 2 = 4. Suppose 0 = -5*z + 2*z + p - k, 0 = z - 5*p + 3. Let n = 12 + z. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toattatoattootko. Give prob of sequence atot.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 2. Let i(a) = a - 1. Let l(r) = -f(r) + 2*i(r). Let b(o) be the first derivative of -2*o**3 - 10. What is b(l(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4862000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 3748345.\nAnswer: 11245035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 18926489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8412 and 77471586717.\nAnswer: 77471595129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkkx when four letters picked without replacement from {k: 2, x: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 3832.184?\nAnswer: -3834.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/12)\/((-23)\/7273198) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -104*w + 5. Let n(f) = 35*f - 2. Let h(m) = 8*n(m) + 3*t(m). What is the remainder when h(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 12*p + 78867 = 0. What are the prime factors of p?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*z, 44*z = -4*l + 41*z + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 153*k**3 - 2*k**2 + 3*k - 2. Let m be x(1). Let c = m + -60. Let a(t) = 92 - 4*t - c. Let d(z) = 4*z**2. Determine d(a(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*k - 27 - 6*k**2 + 135 - 77 - 27 - k**2 as g*k + u*k**2 + p and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**2 - 35. Let h(o) be the second derivative of -o**4\/4 + 315*o - 4. What is x(h(c))?\nAnswer: -99*c**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y**2 - 13*y**2 - 3*y + 3*y to c + v*y + k*y**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/393 in 1\/2, 75, -4, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 1.2. Let t = q - -35. Which is the closest to -1? (a) t (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(250)\/(sqrt(40)\/(sqrt(8) + sqrt(32)) - sqrt(5)) + (sqrt(450)\/(2*sqrt(324) + sqrt(324)))**2.\nAnswer: -15*sqrt(2)\/2 + 25\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (-1 + (sqrt(76) + -2)*2 - (sqrt(76) + -2 + (sqrt(76)*-3)**2 + sqrt(76))*-5)).\nAnswer: -17005 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 385 (b) -11\/54 (c) 5 (d) 2 (e) 0.5 (f) 3\/5 (g) -1\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*g**2 - 57*g**2 - 12*g**3 + (g + 0*g + g)*(-2*g**2 - 5*g**2 + 4*g**2) to x + q*g + p*g**2 + t*g**3 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**3 - n**2. Let d be l(-1). Let b(k) = -26*k - 2570. Let j be b(-99). Solve -d*p + j = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396) + 0)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 6*f**2 - 13*f + 6. Give r(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8. Let f(c) = c**3 - c + 7. Let h be f(u). What is the highest common factor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w - 50. Let z = 7 - w. Calculate the lowest common multiple of 34 and 4*z\/(-6) - -4*1.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444483203 to the nearest integer?\nAnswer: 21083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047101588 rounded to 6 decimal places?\nAnswer: -0.00471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12455.988 - 12411. Let u = v + -45. Let g = u - -0.012047. Round g to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*w = 223*w + 241*w + 2004 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, 9, -2 in decreasing order.\nAnswer: 9, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by 43\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 - 6*z - 5. List the prime factors of m(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h - 5*b + 16 = 0, 21 = -5*h + 4*b. Let x be (-21 - 3)*-1 - h. Calculate the greatest common divisor of 100 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(19\/(133\/28)). Which is the third smallest value? (a) 2\/25 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 14*t**2 + 45*t**2 + 32*t**2 + 55*t**2 + 48*t**2 as n*t**2 + m*t + z and give n.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -174*v + 26939. Give k(150).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038 is divided by 155?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 17. Let j = t - 6. Let g be (-2)\/6 + (-32)\/(-6). Put j, 1, g in ascending order.\nAnswer: 1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1.39339\nAnswer: 0.418017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2159\/(-762) - (-2)\/3*2. Which is the fifth smallest value? (a) 0.1 (b) -5 (c) 0.2 (d) -39 (e) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -0*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Let o = g + 1. What is the second smallest value in 1\/2, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.81 - 0.19. Sort z, -4, -2\/5.\nAnswer: z, -4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90889572 - 7*f**3 + 90889572.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -229231 divided by 116?\nAnswer: -229231\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 9*d**2 + 4*d + 16. Let p be u(9). Solve 14*v - 18 = p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 3. Let a(p) = 1. Let t(w) = -6*a(w) + o(w). Let x be t(3). Let y be (1 - x)\/(3\/(-3)). Is y greater than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1054*k - 154445. Give c(146).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000110010111 (base 2) in base 15?\nAnswer: 8939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r + 14*r + 6 - 6.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*d + 56, j + d + 21 = 7. Let u be 1 - (j + (-2 - -3)). Calculate the highest common factor of u and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m**3 + 7*m**2 - 33. Let c(a) be the first derivative of -3*a**4\/4 + 2*a**3\/3 - 11*a + 717. Give -7*c(r) + 2*p(r).\nAnswer: r**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u. Let k(v) = 1 - 5*v - 30 - 5 + 4. Let n(h) = -1. Let g(b) = -k(b) + 30*n(b). Calculate c(g(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 27 = r, -5*z + 45 = 5*r. Which is the second biggest value? (a) r (b) 4 (c) 561.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6 - 7*o - 2*o**2 + 5*o**2 + 0*o**2. Let w = -8 + 12. Is 11 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * -112.\nAnswer: -2.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 6*x - x - 368, -3*m + 2*x = -571. Let h = m + -33. Suppose 0 = -2*n + 12 + h. Calculate the greatest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*k, 4*k + 99 = 5*s + 2*k. Is 19 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 5\/2, -2, 227\/33?\nAnswer: 227\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 5289, 18903, 45705, 90099, 156489, 249279?\nAnswer: 372873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 471433487.8 rounded to the nearest 1000000?\nAnswer: 471000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.1787545 rounded to 2 dps?\nAnswer: 87.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/96324 and 35\/13248.\nAnswer: 4623552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*l**2*t + 13*l**2 + l*t wrt t.\nAnswer: -116*l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkdttttkd. What is prob of picking 3 k?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*a + 217, 4*g - 4*a + 159 = 623. List the prime factors of g.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -27. Suppose -4*y + 100 + 69 = 5*l, -3*y - 5*l = -123. Let a = y - 36. Calculate the remainder when d is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 22*q + 25. Is t(23) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213958 divided by -76.\nAnswer: -106979\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.9 less than -447.91447?\nAnswer: -683.81447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 3976.\nAnswer: 3976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239899.853391 - 239900. Let m = -0.326546 - g. Let i = 0.18 + m. Round i to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12858 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75499751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 5) to base 11\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 20*f = -3*f - 0*f + 385 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 - -4)\/(7 + -8) - -30934.\nAnswer: 2, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000098634233 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 17. Let o(v) = -v + 16. Let s(i) = -6*m(i) + 7*o(i). Let d be s(9). Is -4\/13 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.46643 litres?\nAnswer: 6466.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4934*a + 4928*a - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -600 + 599.99697. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0424 - -4.0424. What is the nearest to -0.1 in 2\/7, 5, 2, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 51*n. Let x(c) = 78*c + 36*c - 120*c. Give s(x(z)).\nAnswer: -306*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let w(d) = d - 1. Let x(z) = -9*z + 4. Let q(o) = -12*w(o) - 3*x(o). Determine j(q(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*v - 4*v + 5, 5 = 5*y - 4*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let o be -2 - (1 - u)*-34. What is the greatest common factor of 96 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 2, -7, -2 in ascending order.\nAnswer: -30, -7, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 271 = 4*y, 0 = a + y - 5*y - 35. Let m = -40 + a. Find the third derivative of -26*v**2 - 7*v**6 - m*v**6 + 7*v**6 - 13*v**6 wrt v.\nAnswer: -2880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.22 and 19?\nAnswer: -327.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:25 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m. Let r(d) = d + 8. Let a be r(-6). Suppose -3*i = 17 - 38. Let b(f) = -f**2 + 6*f**2 - i*f**a. Give h(b(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 32. Which is the closest to x? (a) -3 (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143154712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000110011001000 (base 2) in base 15?\nAnswer: -29c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7498.9508 plus -3.751?\nAnswer: 7495.1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbppppbbpppp. Give prob of sequence bp.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 27 = 5*i, -50 = 148*i - 150*i + 4*l. Sort 36, -4, i, -2 in descending order.\nAnswer: 36, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*m + 12 + 13, x = 5*m - 15. Let w be (160\/(-12))\/(x\/(-8175000)). Round w to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 916, 1492, 2080, 2686, 3316, 3976, 4672?\n\"Answer: o**3 + 569*o + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b - b**3 - 348*b + 57*b.\nAnswer: -b**3 - 254*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4, -9, 325, -13 in descending order.\nAnswer: 325, 0, -4, -5, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/25 + 8*p\/25.\nAnswer: -2*p*(p - 4)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016721607098 to 7 decimal places.\nAnswer: -0.0167216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 31. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 296\/259 - 18136\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17936014?\nAnswer: 2, 181, 49547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d**5 - 140965*d**4 + 1302560*d**3 - 2428670*d**2 + 1513420*d - 246365 = 0 for d.\nAnswer: 1\/4, 1, 7, 7039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 100*n**2 - 199*n + 270. Determine u(98).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 11*f**2 - 11*f - 8. Let w be t(-10). Suppose -3*x + 0*x - 5*z = -27, -x - 3*z = -13. Suppose -134 = -x*m + w*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*z + 47 = -0*z, z = -5*x + 46. Let v be x\/(3 + 0) + -3000003. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 28*a + 26*a - 14, 4*m = -5*a + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from bxbeeblxbbbeblbbl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3964 or -1379?\nAnswer: -1379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 54. Let g be r(16). Suppose 0 = -2*d + 5*q + g, 4*d + q = -q + 4. Suppose d*c = -4*k + 346, 3*c = 6*k - 3*k + 381. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2. Let z(q) = -22*q**2 - q. Give z(j(h)).\nAnswer: -352*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-6))\/(2*(-50)\/(-90)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 less than 444105\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z*z**5*z)**(8\/15)\/((z**(-1))**(-40)*(z*z**(1\/5))**(-3\/8)) assuming z is positive.\nAnswer: z**(-727\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 = 50*s - 51*s, -5*s - 33 = r for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59450057*g**2 - 58146593 wrt g?\nAnswer: -118900114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3 + y**3 + 5*y**3 + 29*y**2 + 27 - 5*y**3. Is m(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*x**3 - 15*x**3 - x + 0 - 2 as f + g*x + i*x**2 + m*x**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2167.\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-64)*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Let l = 179 - 179. Suppose -3*z + l - 14 = 2*k, 10 = -3*z + 2*k. Sort d, 0.2, z in decreasing order.\nAnswer: 0.2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30317?\nAnswer: 7, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1152209874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41945.2ml to litres.\nAnswer: 41.9452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199*r**3 - 3*r**2 + 28*r wrt r.\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -120*h**2. Let u(z) = 65*z. Let a(m) = -29*m. Let s(n) = -9*a(n) - 4*u(n). Calculate b(s(o)).\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 + 112*l - 113)*(-7*l - 11*l - 9*l) + 3*l**2 - 2*l**2 - 2*l**2.\nAnswer: -3025*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48202882 divided by -26.\nAnswer: -1853957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c**2 + 2*c + 2. Let g be f(-7). Let m = 28 + g. Let y = 48 + -43. Calculate the remainder when m is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/15 - 18\/15. Let a(u) = -22*u + 1. Let o be a(q). Calculate the greatest common factor of o and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22448 and 3312.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 12 + (-6)\/(-2). Suppose 5*j - 3*q - l = 14, 4*j - 27 = q. Let b(k) = -k**3 + 8*k**2 - 8*k - 4. Let t be b(j). Do t and -11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 (base 11) in base 6?\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/148922 and -101\/134140?\nAnswer: 525694660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 247, 553, 981, 1531, 2203?\n\"Answer: 61*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 919451459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/233 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 139069464697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-176)\/92 - -3. Is y less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/170 and -109\/78166.\nAnswer: 390830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -1.1. Which is the smallest value? (a) k (b) 17 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 - 5*x**2)*(2*x - 6*x + 2*x) + 2*x**3 + 0*x**3 + 0*x**3 + 727*x**2 + 63*x + 2*x**3 - 727*x**2.\nAnswer: 14*x**3 + 63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 49 - 22 + 10389*u.\nAnswer: 10389*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/((2760\/(-75))\/(-23)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 + 564*h\/5 - 91520.\nAnswer: 4*(h - 275)*(h + 416)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x + x - 4*x)*(-4 + 4 - 2*x - 2*x + 0*x + 4*x + (3 + 1 - 2)*(-11*x - 7*x + 7*x)) - x + 3*x**2 + x.\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:38 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 100*y. Let h(x) = 97568*x. What is h(i(f))?\nAnswer: 9756800*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 102342121402?\nAnswer: 102342121401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 632.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22708942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g + 3. Let q be k(-9). Suppose 5*i - z - 8 = 0, -5*i - q + 21 = 4*z. Solve r = -4*r + i*s + 17, r = -3*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-2))\/((-10)\/(-4)). Let k be (27\/(-12))\/((-10)\/4). Let i = f + k. Which is the closest to i? (a) 0 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1573) + -2 + sqrt(1573) + -5 - (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 2) - sqrt(1573)) + 2))*-6)*6)**2.\nAnswer: -418176*sqrt(13) + 8224128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 67. What is the fourth biggest value in 1\/8, d, 0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31110133321 (base 4) in base 9?\nAnswer: 6511804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1112221222210 (base 3) to base 4\nAnswer: 3021221133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 31 = -116. What is the third derivative of -y*k**2 + 27*k**2 - 17*k**2 - 11*k**4 wrt k?\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7118, -14275, -21462, -28673, -35902, -43143?\n\"Answer: s**3 - 21*s**2 - 7101*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2282699 * -1.36.\nAnswer: 3104470.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**3\/3 + 4*j**2 + 13*j - 28. Let h be i(9). Solve -h = -o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -91. Let k(q) = -5 - 52*q - 10 + 7 + 0*q. Let u be k(-2). Calculate the highest common divisor of u and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let q = -11 - -14. Let x(d) = d**2 - q*d + 3*d. Calculate x(w(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-17))**(1\/54)*h**23\/(h**(-25)*h) assuming h is positive.\nAnswer: h**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10020481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -18. Let g be z\/28 + (0 - 0). Suppose 17 = -5*p - 2*d, -3*d + 6 = -3*p - 0*p. Which is the second smallest value? (a) g (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696284187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 9. Suppose -11 = -4*w + j, 5*j + i = -4. Suppose -5*m = -3*f + w*f + 48, 4*m + 176 = 4*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 29 = -2*f, -4 = -2*f + 2*g. Factor 11*c**2 + 2*c**3 - c**2 - 5*c - f*c**3 + 0*c**2.\nAnswer: -5*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1392 + 1392.033. Round p to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 6*c = 33. Let h = c + -12. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*k - k - 5, -5*k = -x + 25. Suppose x = -3*g - 3544 - 701. Let y = 1998 + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 - 56*r\/3 - 128\/3.\nAnswer: 4*(r - 16)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8189329.6 rounded to the nearest ten thousand?\nAnswer: 8190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1088658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/30)\/(3\/120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*w - 16, 0 = -3*p + 34*w - 38*w - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25.17 hours?\nAnswer: 90612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teseysxssessy. Give prob of sequence ty.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1925634*c**4 + 1740190 with respect to c.\nAnswer: 7702536*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 + 3*q + 3. Let c be (3 + (-3)\/3)*-2. Give b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31832 + 31836.28. Sort -1\/7, u, 0.01 in decreasing order.\nAnswer: u, 0.01, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3725*c + 29622. Determine g(8).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 1014, 2262, 3988, 6180, 8826, 11914, 15432?\nAnswer: 19368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321844 = 30*r + 27904. Does 71 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 4 (b) 479165 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.43 + 0.08. Let n = g - 0.05. Let z = -0.04 - -0.24. Sort z, n, -0.5 in ascending order.\nAnswer: -0.5, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 846, 851, 858, 867, 878?\n\"Answer: w**2 + 2*w + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -29*y. Let n(t) be the second derivative of 0 - 1\/6*t**3 - 11*t + 0*t**2. Determine g(n(z)).\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (104\/48*3)\/(2\/12). Calculate the highest common factor of 26 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g - 2 = 0. Let l be (-1 - g)\/((-2)\/2). Solve -2*m - 33 = 5*s, l*m + 2*m + s + 13 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -71*j**2 - 6*j - 5. What is l(-1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 - 15 - 3\/42*-38. What is the closest to y in -4\/5, 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 31. Let u be ((-12)\/t)\/(21\/(-1400)). Which is bigger: u or 78?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, 5\/3, -2\/17477?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 422 = 2*o, 10*o - 12*o - 430 = r. Let g = o - -236. Solve -y = -2*y + 4*b + 18, g = -5*y - 2*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -6\/697, 5?\nAnswer: -6\/697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-4\/3)*f)\/f*f**(-1\/7))**(3\/5)\/((f\/f**1)\/(f*f\/f**(1\/5))*f**(3\/2)\/(f*f*f**(-6))) assuming f is positive.\nAnswer: f**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39046*j**2 - 157*j + 189 wrt j.\nAnswer: -78092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -166.6 and -694.72.\nAnswer: -861.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(1484*z + 1 - 1243*z - 1) as b + k*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 0*g = -35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**8\/840 + t**7\/525 - t**6\/150 - t**5\/75 + t**4\/60 + t**3\/15 + 8*t**2. Solve d(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 10*c**2 - 236*c - 59. What is u(-21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Let v(i) = 9*i + 4. Let l be v(3). Suppose -b*y + s - l = -7*y, 15 = -3*s. Calculate the greatest common factor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.826867l?\nAnswer: 5826.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*5*(-4*sqrt(1872)*2 + -5) + -3)*-6)**2.\nAnswer: 30481920*sqrt(13) + 3882557124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoomlhhonhgg. What is prob of sequence no?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 - 31441.\nAnswer: -31411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a + -56090?\nAnswer: -5614a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 36487*x - 182698. Give d(5).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12201\/2 greater than or equal to 6100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.8 + 26. What is the nearest to 3 in r, -2, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i - 151. Give x(37).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (65\/(-39))\/(1\/(-3)). Let z be (33\/(-66))\/(p\/(-6)). Let g = -3.2 - -3. What is the nearest to 0.1 in 0.03, g, z?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17893713 >= -17893712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 0, -0.3, -127?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/81 + 4661\/1593. Let c(s) be the second derivative of 0 - 1\/14*s**4 + 7*s - 4\/21*s**x - 1\/7*s**2. Suppose c(p) = 0. What is p?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19487 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*h + 5*m, -5*h - 334 + 375 = 3*m for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 472*j - 18870. Give z(-185).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let d(c) be the second derivative of 0*c**3 + 0*c**2 - 3\/4*c**4 + 0 - 3*c. What is n(d(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10228 + -501084\/49. Let a = 4951\/490 + l. Find the common denominator of -37\/2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1, 6, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 33, 45, 71, 117?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110230330 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248468 = -236*c + 316075 + 394953. Calculate the remainder when c is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -t + 21 - 73, -44 = 5*o - 3*t. Let m(k) = 13*k**2 - 13 - 32*k**2 + k + 13*k**2 + 10*k**2. Is m(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*2*-1. Let x be (1 + 0)*(1 + -2 - -4). What is the second derivative of g**3 + g + 4*g**3 - x*g**u - 4*g**3 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173 + -125. Let c be 14\/p + (-4)\/32. Let h be 2\/((-39)\/(-9) + -3). What is the fourth biggest value in c, h, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. What is the closest to -1 in 1\/6, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106 and -29?\nAnswer: -3074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174958?\nAnswer: 2, 311, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -135.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2\/13, 0.5, -55 in ascending order.\nAnswer: -55, -4, -2\/13, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 + (-158 - -174).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b\/(b**(-4)*b)*b))\/b*(b*b\/(b**(-3)*b)*b)\/b*b**(3\/7)\/(b*b**6\/b*b*b) assuming b is positive.\nAnswer: b**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3460554ml to litres.\nAnswer: 0.0003460554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - 54. What is the units digit of (-786)\/(-10) - 36\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {h: 5, l: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507971187 to the power of 1\/2, to the nearest integer?\nAnswer: 38833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -42, -40?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 41 - (2 + -1 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.01, 20647914 in descending order.\nAnswer: 20647914, 1\/7, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 20. Calculate h(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.2 (b) 0 (c) 3 (d) -23\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16897 is divided by 457?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -33*f + 406. Determine b(5).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = i - 5*y, 4*i + 2*y - 5*y - 66 = 0. What is the greatest common factor of i and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let k = -11 + 17. Let q(c) = -3*c**2 + k - 6. Calculate q(v(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13483, -52563, -117695, -208879, -326115?\n\"Answer: -13026*g**2 - 2*g - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116478 (base 10) to base 5.\nAnswer: -12211403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*d - 39031 = -0*d, 15600 = 2*c + 5*d. List the prime factors of c.\nAnswer: 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046 a factor of 54893034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43436 + -11?\nAnswer: -43450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-2))\/(-3 - -2). Let p = r - 3. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 69 = -5*b - 23, -4*t + 44 = 4*b. Let h = -28 - -21. Let k be (-2)\/h + (-4)\/14. Solve -2*f - b = -k*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 5. Suppose -2*g + 10 = o. Let y be -2 + (g - 2\/1). Which is the closest to -1? (a) 0.5 (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*d - 761, 3*w = 30*d - 25*d + 557. What is the remainder when w is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 520*h**2 + 16900*h.\nAnswer: 4*h*(h - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + 2421?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - -0.54. Let k = 358 + -569. Let o = k - -213. Which is the second smallest value? (a) o (b) n (c) -1\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-121)\/(-176))\/((-14)\/(-28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26033419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 13*a**2 - 8*a - 16. Does 10 divide j(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 8 - 29 = 0. Let u = -23 - -15. Let m(z) = -14*z + 2. Let v(j) = -1. Let b(l) = -5*l + 4. Let t(o) = -b(o) - 3*v(o). Give c*m(h) + u*t(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 74*r**2 + 6*r + 115. Let d(g) = -79*g**2 - 6*g - 111. Let h(k) = 3*d(k) + 4*f(k). Find the second derivative of h(z) wrt z.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 22026.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = 13. Let i be 1\/n*(-2 + -30). Suppose i = 7*k - 115. What is the highest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = f - 2*d, 49 = 5*f - 4*d - 32. Let l = 15 - f. Suppose l*r = 200 + 1394. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let v = o - -0.9. Let j = -8 - -8.2. What is the second smallest value in j, 3\/4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 3. Let j(r) be the first derivative of 1 + 2*r - 2 - 3*r. Suppose 0 = k - 4*k + 9. Calculate k*j(i) - c(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3217, -3206, -3181, -3136, -3065, -2962, -2821, -2636?\n\"Answer: t**3 + t**2 + t - 3220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*g + 5*g = -36, 3*g = 0. Let o = w - -22. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5391 (base 12) to base 9\nAnswer: -13531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1389880 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 87271719.7 to the nearest 1000.\nAnswer: 87272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34274.44 kilograms?\nAnswer: 34274440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121\/2 + 62. Let t = -10 + 20. Let m = 7 - t. What is the second biggest value in 0, m, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/5))**(2\/47))**21 assuming b is positive.\nAnswer: b**(126\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - f**2)*((1 - 1 - 1)*(-1 + 3 - 1) + 2 - 1 + 5).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15590*f. Let a(x) = -218*x - 1. Calculate o(a(i)).\nAnswer: -3398620*i - 15590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**5\/60 + 5*t**4\/12 - 11*t**3\/3 - 70*t**2 - 66. Determine y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddrddzzfzzdidddzdri. Give prob of sequence fi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -374.9 * -5\nAnswer: 1874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 - -3) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53998631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -155 (c) -2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 + 37713*l**3 - 226125*l**2 - 565725*l + 3769500 = 0 for l.\nAnswer: -4, 5, 12565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/5 - 606*h**3\/5 + 69913*h**2\/5 - 138012*h\/5 + 68704\/5 = 0.\nAnswer: 1, 152, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1539) + -2)*-1)**2.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -15. Let o(k) = -k. Let q be o(-6). Let c = i - q. Solve -c = -2*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 + 19?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 8. Let r = -20 - n. Suppose r*o = 3*f - 33 - 95, -2*f + 5*o = -82. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 4, 455, 16, -5, 1 in ascending order.\nAnswer: -5, 1, 4, 16, 65, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 3, 705, 1, 17 in decreasing order.\nAnswer: 705, 17, 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -457 - -1266. List the prime factors of r.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 236 - 1515. Round u to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 26*x**3 - 46*x**3 + 24*x**3 + (6*x - x - 4*x)*(0 + 3*x**2 + 0) in the form d + c*x**3 + t*x**2 + f*x and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/25 - (-4)\/5. Calculate the greatest common factor of 28 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.052 in 27.2, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y + (130 - 130 + 32*y)*(-3 + 0 + 5) + (6*y - 4*y - 3*y)*(3 + 0 - 2) - 7*y + 3*y + y)*(0*y - 5*y - 3*y).\nAnswer: -496*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/21 + 352*x**2\/21 + 7342*x\/21 + 4420\/7 = 0. Calculate x.\nAnswer: -17, -2, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 3768, 4, 3 in descending order.\nAnswer: 3768, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*b + 2*b. Suppose 105 = 5*t - b*v, -4*v + 84 = 4*t + v. Suppose -4*x + 31 + t = 0. Calculate the greatest common divisor of 39 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2\/2 + f + 2. Let a(c) be the second derivative of c**3\/6 + 2*c**2 + 5*c. What is -a(i) + 2*p(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-12))\/(1\/(-3)). Let z(c) = -c**3 + 3*c**2 - 6*c + 10. What is the remainder when (g\/(-1))\/((-2)\/(-8)) is divided by z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -25. Find the common denominator of -77\/18 and 486\/f + 2*1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4*x + 1047*s**3 - 301*s**2*x - 21012*s*x - 12*s + x - 16 wrt s.\nAnswer: 12*s**2*x + 6282*s - 602*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ava when three letters picked without replacement from aaaaaaaaaaaaavavaa?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x**2 - 8*x. Let j(k) = -103*k**2 - 139*k**2 + 244*k**2. Calculate g(j(r)).\nAnswer: 60*r**4 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by 461419\nAnswer: 130\/461419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 5\/((-10)\/4). Suppose 33 = o*w - 9. Suppose w*s - 8*s = -25. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 92.906kg?\nAnswer: 92906000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16063638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -192132 (base 13) in base 4?\nAnswer: -2122201302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10046 divided by 11432.\nAnswer: 5023\/5716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598\/10 - (18\/(-15) + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -24*u + 125. Let n(g) = 544*g - 1082. Let x be n(2). What is d(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 + -498. Solve 5*n = -4*s + x, -6*s = -s + 3*n - 19 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-53)\/(4452\/168) + 9\/5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 9*z + 5. Calculate p(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134733886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 4*y - 9. Let s be d(-6). Calculate the highest common factor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-18 - -47 - 3) + -7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*2\/16)\/((-5)\/20). Let s be 6 - k*(5 + -3). What is the tens digit of s\/(-10) - 1588\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9296*w - 8022*w + 109564 = 0 for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2798*f**6 + 29*f**2 + 2?\nAnswer: 335760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0.4, 2, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 71550*b**2 - 678662334*b - 682081208514.\nAnswer: -2*(b + 1137)*(b + 17319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10344*q**5 - 12425*q**2 wrt q?\nAnswer: -620640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from gbgggggggglgggglg?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14520 by 2904.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 814*-0.706.\nAnswer: -574.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(25\/2)*n\/(n\/((n*n**(-15\/7))\/n)*n)*(n\/(n\/n**13))\/(n*n**32\/n))**6 assuming n is positive.\nAnswer: n**(-405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let t(k) = 27*k**2 + 12*k + 12. Let g(p) = -11*p**2 - 5*p - 5. Let y(a) = 12*g(a) + 5*t(a). Determine n(y(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j**3 - 112*j**3 + 53*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1120 = -5*o, 2*d - 4*d = 4. Let n = o + 262. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 0.3, 13, -2.135, 0.5 in increasing order.\nAnswer: -2.135, -0.1, 0.3, 0.5, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 + 2934*w - 88012\/15.\nAnswer: -2*(w - 22003)*(w - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15387 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:20 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 341*b + 3614. Let r be c(10). Suppose -7*d = -2*d - 65. What is the greatest common factor of d and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -7 - -4)\/(-3)*(-4)\/8\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 77.52787 millimeters?\nAnswer: 0.07752787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**3\/3 + g**2\/2 - 16*g. Let t be r(3). What is the first derivative of 6*x**2 + t + 2 + 11 wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20766828 divided by 168836?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/100 and 818\/15951 - 982\/2080.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 500463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(10\/(-5))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from ndgdgdnndnnnd.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -9 - -3) + (-1 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**2. Let r(c) = -c**2 - 3306*c - 4. What is r(t(d))?\nAnswer: -81*d**4 - 29754*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 270 = 2. Suppose -m = -d - d. Suppose 0 = 6*i - d - 31. Solve -4*u - 4*x = i, 0 = 3*u + u + 3*x + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 6:28 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*q + 48 = 4*k + 502*q, 0 = 4*k + 3*q + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2 and -27\/33257.\nAnswer: 66514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:01 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4482 + 4512. Which is the nearest to 0? (a) 3 (b) l (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48748 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < 5193566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1. Let m(u) = 2*u - 12. Let k(f) = -12*h(f) - m(f). Let y(v) = -4*v**2 - 5*v. Let q(l) = -3*l**2 - 4*l. Let c(w) = 5*q(w) - 4*y(w). What is k(c(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (-3 + -1 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 7*m + 3*j, -71*j + 12 = -5*m - 67*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23872019 * 3.7\nAnswer: 88326470.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -19, -77, -199, -409?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 0, -3*h - 5*v - 40 = -8*h. Let g = 145 - 125. Solve -h*d + g = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b3 (base 12) in base 3?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + 8 + (99 - (-364)\/(-13)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 3332?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 268088629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 - 85*n**4\/12 + 169*n**3\/6 + 16*n**2 - 3*n. Solve z(y) = 0.\nAnswer: 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owotttmlotwtymwwmw. Give prob of sequence mw.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:11 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1332 and 71\/6.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-948)\/(-34) + 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30742 and 179170.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 4. Suppose u = -3*g - 4*u + 25, -3*g = -x*u + 25. Suppose -3*t + 22 + 23 = g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 3. Let a = 18 + -21. What is the lowest common multiple of p(a) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15455 minus 3062163549?\nAnswer: -3062179004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47702521 and 961?\nAnswer: 1478778151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by -2?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*k + 40 = 0, -26*k - 15 = -21*k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 768104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 4 = -3*z. Let o = -2 + z. Suppose f = 6 + 9. Calculate the remainder when o is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111011 (base 3) in base 2?\nAnswer: 10000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 553\/44496 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 - 9*z + 16. Suppose -7*s = -4*s - 21. Let v be b(s). Let q = -4 + v. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(243) + 0 - sqrt(243)))*-3 + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17998 - 7998. Let x be 17\/(102\/242640)*c\/(-4). Round x to the nearest one million.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -2, 3\/5 in descending order.\nAnswer: 135, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37421738 divided by -2?\nAnswer: 18710869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 35*r + 26*r - 22*r + 3 - 5. Let f(z) be the second derivative of -z**3\/6 - 3168*z. Give a(f(j)).\nAnswer: -39*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 200102423 (base 5) to base 8\nAnswer: 2774542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -0*t + 7*t. Let l be (-28)\/t + (-24)\/30. What is the first derivative of -35*r + l + 10 - 14 wrt r?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(240\/(-18))*128\/264.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13)*(m*m\/(m\/m**(3\/10)))\/m)\/(m**(4\/3)\/(m*(m\/(m\/m**(-4)))\/m)))\/((m**(-1))**43)**34 assuming m is positive.\nAnswer: m**(568277\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9032 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 262 = 103*c - 938. Calculate the remainder when 1835 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 5*n**2 - n + 8. Let x be r(-4). Let g = x - -47. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -48 (b) 0.5 (c) 2373\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8*v - 3 = 0, 3*b - 66 = -3*v. Let l = -4 - -7. Suppose l*t = t + 22. Calculate the remainder when b is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 3*o - 15. Let s be i(-7). Let r = s + 79. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3430291 (base 11) to base 9\nAnswer: -12258688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40727 or 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*2*-6)\/(sqrt(490)*2).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + 78*o - 67. Let k be i(12). Solve -6*u = 23 - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3340 and 3723110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1412, -2\/317, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -6, -0.4, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, -0.4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1142.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 69 - 12*j**2 + 94*j**2 + 76. Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 952405188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + k - 1. Let y(c) = -3*c - 12. Let g(v) = 2*a(v) + y(v). Let h be g(5). Let t = h - -116. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 532.9?\nAnswer: 532.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 6.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -30, -58, -84, -102?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 0 + 0 + 0. Let u(p) = -65*p**2 + 124*p**2 - 58*p**2. What is g(u(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 5}. Give prob of sequence oox.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -16*g**2 + 8. Let c(j) = j**2 + j - 2. Let q(z) = -a(z) - 5*c(z). Calculate the smallest common multiple of 12 and q(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6459000 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17\/x)\/(x**12*x)*(x\/(x\/x**(4\/5)*x))**(4\/41) assuming x is positive.\nAnswer: x**(611\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(23*(-3)\/(-165) + (-54)\/(-297)). What is the closest to 0 in 0.1, v, 5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/12 - 4*x**3\/3 - 4*x**2 - 3*x. Let u be p(-6). Is -102*u\/(-8) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4664\/7, -6, -4 in ascending order.\nAnswer: -6, -4, 4, 4664\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1622 divide 5623474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44460 and 57798.\nAnswer: 577980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7667*y**3 + 8588 wrt y?\nAnswer: -23001*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 33 - 8, 4*h + c = 41. Let f be h\/(-27) - (-8)\/6. Solve -f - 2 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r**(-5) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + 3*m**2 + 6*m - 8. Let c(a) = 4*a**3 + 2*a**2 + 5*a - 7. Let j be -1 + (-4 + 0 - 0). Let v(i) = j*t(i) + 6*c(i). What is v(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24982765 take away -0.1?\nAnswer: -24982764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)\/t)\/t)**(-18)\/((t\/(t*t*t\/(t\/t**(-4))))\/(t*t**(-1))) assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-1870)\/(-66))*3*2\/54.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16048080 and 18600?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 - 106. Suppose 5*a = -3*y + 89, -y + 62 = y + 2*a. What is the remainder when y is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 69 = 0. Let d = z + -14. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000212338 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 2.\nAnswer: -147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 63. Let r = -16 + t. Let j = r + -2.0018. Round j to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 286*c**2 - 10*c - 6. Let w be g(-3). Suppose 4*r - 566 = 4*y + w, -5*r - 2*y + 3927 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 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: Let n = 1.5000173 + -1.5. What is n rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -16*d - 25. Let r be v(-5). Let a = 77 - r. What is the lowest common multiple of a and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/5994*37 + 400\/(-18) + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 7. Let w(y) be the first derivative of -y**2\/2 + y + 20. Let m be w(j). Solve h - m*f = -h - 11, -5*f + 13 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 254*r**3\/3 - 370. Let f(c) = 3*c**2. What is f(p(v))?\nAnswer: 193548*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 49*z + 3*b = -10, 0 = 8*z + 5*b + 65 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2201102001 (base 4) to base 7\nAnswer: -5420655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1541?\nAnswer: 13\/1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12126 divided by -282\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((378\/3)\/3)\/((22320\/40)\/93).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -58293, 2, 0 in descending order.\nAnswer: 2, 0, -58293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -12\/65, 0.04, 954?\nAnswer: -12\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49860021 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 520 or 519?\nAnswer: 520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*n + 7, -o = -3*o + 4*n - 22. Let u be o\/2*4\/(-5). Suppose -p + u*p = 21. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6768 and 106972.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 11, e: 6, g: 1}. What is prob of picking 2 e?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(2057) + sqrt(2057) + sqrt(2057)*1) - sqrt(2057)) + (sqrt(2057) + -1)*1)**2.\nAnswer: -2376*sqrt(17) + 666504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-2))\/(7\/6))\/(1576\/2758).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 340, -4, 0 in descending order.\nAnswer: 340, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 4*c**2 - 54*c**2 - c + 11*c + 72*c**2 - 7*c**2.\nAnswer: 3*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/4 - -2) + -3. Let m = 0 - v. Let s = -9 - -31. Solve 1 = 3*n + 5*f - s, m*n - 22 = -5*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llawr. What is prob of picking 1 l, 1 a, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 273*-36\nAnswer: -9828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 3496680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1581 = w + 2*w. Let h = -255 - w. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -1362529.\nAnswer: -20\/1362529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/735 + y**6\/84 + 4*y**5\/105 + y**4\/21 + 9*y**2. Factor v(d).\nAnswer: 2*d*(d + 1)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, i: 1, j: 3, d: 2, u: 4}. What is prob of picking 2 u and 1 w?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(1\/(-3)) + 7. Solve c - k*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*f - 3*f = 161, 101876*r = 101872*r + f + 49 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 3. Let i(o) be the second derivative of -2*o**3\/3 + o**2 + o. Determine -7*i(b) + 5*z(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 20 + 1 + (0 - 6) - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/161 and -47\/35.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (0 - 3))\/1. Let c be (-4)\/(-16) - 3\/20. Let o = c + -3\/5. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c - 2. Let r(z) be the third derivative of z**5\/10 - z**4\/12 - z**3\/3 + z**2. What is the least common multiple of q(-4) and r(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g - 33. What is the tens digit of p(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005957949641 rounded to five decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/5)\/((-5)\/25). Let y be 4 + m + -2 + 0. Solve y = -0*r - r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1)\/i))**(-1\/2)\/(i\/(i*i\/(i**(-2\/5)*i))*i)**(-44) assuming i is positive.\nAnswer: i**(249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c**2 + 6*c. Let d(m) = -19*m**2 + 14*m - 1. What is -4*d(u) + 9*i(u)?\nAnswer: -5*u**2 - 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*i - 263, -2*i + 1230 = -26*n + 31*n. Let s be ((-31)\/n)\/((-3)\/8). Factor h + 0 - s*h**2.\nAnswer: -h*(h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -91. Do -1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 10*u**2 - 9*u - 1. Let f be j(-9). Put -5, 0, f in descending order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-5))\/(-18)*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-495873)\/(-351417) + (-12)\/(-22)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 93. Let g = 163 - l. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 - o**3 + (21*o - 9*o + 11*o)*(16*o**2 - 15*o**2 - 19*o**2).\nAnswer: -415*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10680903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15778)\/805)\/((-7)\/((-280)\/16))*2?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - (-868)\/21. Let w = -76 + r. Let u = w - -135\/4. Calculate the common denominator of u and 19\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1078 and (0 + (-2)\/(-1029))\/((-672)\/11592)?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 103*m**2 + 1031*m + 1747. Determine i(-92).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.5 (c) 2 (d) -2015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**5)\/a)**28 assuming a is positive.\nAnswer: a**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0 + 0*v**4 + 0*v**5 - 64*v + 0*v**3 + 29\/30*v**6 + 24*v**2. What is the derivative of j(n) wrt n?\nAnswer: 116*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (94 - (-35 + 245)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 75 = -13*c. Calculate the highest common divisor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 5*n + 10, -n - 6 = -5*l - 4*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81096 = -4774*a + 4805*a. Are 7852\/3 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 682.23 and 4.\nAnswer: 2728.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145*o**2*p + 257*o**2 - 2*o*p + 48*o + 31842711*p wrt o.\nAnswer: 290*o*p + 514*o - 2*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let a(n) be the third derivative of 98*n**5\/15 + 64*n**2 + 1. Give a(s(h)).\nAnswer: 392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:30 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28753 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4403\/15 - -291. What is the common denominator of 101\/6 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 5*a - 31 = 7*c, -3*a + 15 = 0. Suppose -c*j - 2 = 3*s - s, 0 = -2*j + s + 1. Let l(t) = -t**3 - t**2 - t + 8. Determine l(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3 + 279924*j**2 + 10355819*j = 0.\nAnswer: -279887, -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266071 - 73*m - 266036 - 5*m.\nAnswer: -78*m + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q + 2*q)*(-2 - 2*q + 2)*(3 - 1 + 1).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200351401 (base 6) in base 12?\nAnswer: 1175561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9412858 meters?\nAnswer: 0.0009412858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let k(f) = 6*f + 10. Let d(q) = -30*q - 52. Let m(g) = 3*d(g) + 16*k(g). What is m(b(u))?\nAnswer: -12*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.558098m to kilometers.\nAnswer: 0.001558098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(21))\/sqrt(3) + -2.\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*15\/(45\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7713 - -7749. Calculate the lowest common multiple of k and 356.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(-27))**(-24\/7)*((v**(1\/3)\/v)\/(v*v*v\/(((v*v\/(v\/v**(1\/3)))\/v)\/v*v)))\/(v\/(v\/v**(1\/4)))**(2\/105) assuming v is positive.\nAnswer: v**(4159\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 382844798 to the power of 1\/2, to the nearest integer?\nAnswer: 19566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7774 and 6118?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.5936503 minutes?\nAnswer: 0.003884479375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, -2, 5 in descending order.\nAnswer: 5, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006863956 rounded to seven decimal places?\nAnswer: -0.0006864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, m: 1, o: 5, q: 1}. What is prob of picking 4 a?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 7\/4, -107 in increasing order.\nAnswer: -107, -3\/5, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00936 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -33. Let k = -393 - -406. Let r = k - j. Which is the smallest value? (a) 0.8 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9455 (b) -1 (c) 4 (d) 1\/7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 883 + 2 + (-1 - 3). Suppose 2*g - j = 161. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 951402593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 22?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6677083.\nAnswer: 7, 43, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.0567103?\nAnswer: -2.9432897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.082966 rounded to 2 decimal places?\nAnswer: 94.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14090 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 1886543?\nAnswer: 1886545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 9*y = -64. What is the least common multiple of (46 - -20)\/((-6)\/y) and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2760 by -3.\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*2)\/(-1*sqrt(648)) - ((sqrt(2299) + -2*(3*sqrt(2299) - sqrt(2299)) + sqrt(2299))**2 + sqrt(2299) + -3).\nAnswer: -9193 - 95*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -97, -126, -167, -226, -309, -422?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r - 4. Let t(w) = -6 - 4 - 4*w + 7. Suppose 0 = -2*b + 3*b - 4. Suppose 3*g + 8 + b = 0. Give g*t(p) + 3*u(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.91g in tonnes?\nAnswer: 0.00042991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6 - 3 - 7\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 12*j**2 + 12*j - 8. Suppose -4*i = -0*d - 4*d + 124, -2*i - 56 = 4*d. Let x be (i\/9)\/((-3)\/(-9)). List the prime factors of s(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 462.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176 * -127104.\nAnswer: 22370304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 + (-9)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3518356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/(m\/m**0))\/((m*m\/m**(-5\/2)*m)\/(m**(-1\/3)*m)))\/((m**1)**(1\/3)\/(m**0)**(47\/4)) assuming m is positive.\nAnswer: m**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59341173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let t(l) be the first derivative of 1\/6*l**3 + 0*l**2 + 1 + 2*l. Let a(w) be the first derivative of t(w). Give a(p(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8551230.\nAnswer: 2, 3, 5, 29, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2936*g + 114504. What is d(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49139491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0 - 2. Let a(v) = 15*v - 1. Let b be a(g). Let l = b + -6. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331 + r + r - 349 to the form p*r + v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8706.\nAnswer: 2, 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2055 divided by 5\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*q**4 - 2*q**3 - 4556*q + 26387 wrt q?\nAnswer: 24*q**3 - 6*q**2 - 4556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -237 (c) -5 (d) 0.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*d - 97*d - 80*d - 77*d.\nAnswer: -169*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 4 - 3*r**3 + 6 to w*r + k + g*r**2 + o*r**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1351122476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((264\/(-468))\/11)\/(8\/(-52))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000104993954 to seven decimal places.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -59917*c - 7. Let l(q) = 1537884*q + 180. Calculate 7*l(x) + 180*m(x).\nAnswer: -19872*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -236\/3*u**2 - 1936\/9 - 82\/9*u**3 - 2\/9*u**4 + 2728\/9*u = 0.\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 62. Let d(c) be the first derivative of 5*c**2\/2 + 168. Determine h(d(b)).\nAnswer: -10*b - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 389384\/41 + -9498. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from bpkjbbbssksp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Let k = -115439 + 115443.2. Sort -0.2, k, x.\nAnswer: x, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1401440?\nAnswer: -1401432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 55 - (7 + 11).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41632284277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86241 is divided by 85.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1\/8 (b) -458 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38749 + -26944. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + 7 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -13477622?\nAnswer: 13477606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**2 + 8*t - 1. Let r be -6*((-196)\/21 - -10). What is the tens digit of d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -14. Suppose 0*r = r - y. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = l - 75, -l = 4*l - 5*u - 325. Calculate the remainder when l is divided by (-12 + -3)*(-378)\/270.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - -101100011111?\nAnswer: 101011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynh when three letters picked without replacement from fkfmfnyfffh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/12 + 51377\/4980 + -10. Let k = 0.2 + -4.2. Let x = 0.2 - 0.2. What is the nearest to -1\/3 in x, k, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6 and -7.031873 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2533 (base 6) to base 3.\nAnswer: -212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32002 (base 6) in base 16?\nAnswer: -10e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -17141 and 0.25416.\nAnswer: -17140.74584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 16) to base 14\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.859454088 to three decimal places.\nAnswer: -0.859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 9:34 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 22 - 32 = -2*f, 0 = 4*r - 4*f - 4. Suppose 2*c - 6*c - r*k + 2749 = 0, -2*c + 1397 = -3*k. List the prime factors of c.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, -1, 2, 3\/44 in ascending order.\nAnswer: -1, 3\/44, 0.23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7 + i**2 - 8 - 1 - 6*i. Determine a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2296 = -4*g - 2276 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -5. Suppose 4*n = 20, 4*a + l*n = n + 36. Suppose -5*g + 187648 = a*o + 2307643, -4*g + 530004 = -o. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc - c?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + 3.89. What is the second smallest value in w, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 - 2. Let t be y(2). Suppose m + 2*v = -3*v - 17, -3*v - 12 = 0. Find the common denominator of 89\/2 and m*t*(-11)\/(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 28 = -4*z, -2*o - 28*z = -24*z - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28923+-446\nAnswer: -29369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -5*j**4\/48 + 7*j**3\/24 - j**2\/4 - 6*j. Factor k(w).\nAnswer: -(w - 1)*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 81091 and -1.\nAnswer: 81090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkfffffffffffkffff. Give prob of sequence ffkk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5337.323 millilitres in litres?\nAnswer: 5.337323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 4*w - 4*w + (-4*w**2 + 0*w**2 + 2*w**2)*(-2*w + 3*w + w) - 23*w**3 - 2*w**3 - 16*w**3 as g*w**3 + m*w + p + z*w**2 and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.81 in 4, 0.1, 0.5, 0.0363, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(7*i - 2*i - i) + 3 - 11 - 10*i + 5.\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49414*k**3 - 33656*k**2 wrt k.\nAnswer: 296484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8785 + -1313?\nAnswer: -9a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*b - 18. What is the units digit of ((-3)\/(-4))\/((-2)\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*z - 492 - 363 = 312*z. Calculate the remainder when z is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0263 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1098?\nAnswer: 5\/1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/78*-3*(-4)\/(-8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 1. Let g(y) = -y**3 - 6*y**2 - 4*y - 3. Let v(c) = g(c) - 3*q(c). Let s be v(-5). Sort 5, 1, s.\nAnswer: 1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12797385 to the nearest 100000.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 3*k**2 - 11*k - 22. What is the remainder when p(6) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9063*-57*(-50)\/18 and 1\/4 - (-325)\/(-108)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 421.2082506.\nAnswer: -426.2082506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) 18 (c) -2 (d) 3\/7 (e) 10.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*f + 16. Let w = f - -10. Let r = -5 - w. Let s(c) = 5*c + 1. Give s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(20\/12 + -2). Let o = 1 - g. Let j be (-2 + o)*18\/12. Let x(r) = -r**3 + 3*r**2 - 3*r - 4. Determine x(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -10\/11, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -46*k + 1. What is the remainder when t(-1) is divided by (-1 + -1)*-1 + 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4032341 (base 5) to base 11.\nAnswer: -44698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6388 is divided by 3441.\nAnswer: 2947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(22\/7)*s)\/(s\/(s**33*s)))**(-9))**(3\/8) assuming s is positive.\nAnswer: s**(-3105\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21762 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:14 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5037, -0.998, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4\/1 + 4 - (-11828 - -29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + z - z + (-z - z + 0*z)*(-4 + 1 + 1) - 4*z + 2*z + 4*z + 5*z - 4*z + 0*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3 (c) -1.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 5, -367, -3, -5, -34, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5003 + -2455. Suppose s = 369*w - 362*w. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -78, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*j + 0 - 39*j + 1 - 40*j**4 - 6*j as f + d*j**4 + m*j + s*j**2 + x*j**3 and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 96\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454733 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 74812.34 rounded to the nearest one hundred?\nAnswer: 74800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0.01 (b) -5 (c) -1 (d) -2\/5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10369 - -4702. Let z = 5607.94 + o. Round z to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 + -412\/3. Which is the closest to -0.1? (a) 0.3 (b) -3\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 2*o**2 - 12*o + 8. Let s be n(5). Suppose 4*a = s - 44. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -3?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179390 or -4\/9?\nAnswer: -179390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 - 7*v + 8. Calculate n(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-180)\/(-24) - 7)*43. What is the biggest value in h, 4\/7, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 8*a - 13. Let z be b(8). Let u be 6\/(4\/(-6) - 0). Let l = u - z. Put -5, -4, l in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -251 + 263 - (37 - -2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from {w: 6, y: 1, l: 3, f: 2, j: 2}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48231 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.55 - -0.26. Let z = p - -0.18. Round z to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414694.\nAnswer: 2, 7, 19, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -109630*j. Let k(g) = -145*g. Give k(f(t)).\nAnswer: 15896350*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - (-1 + -1*sqrt(2448))) + -3 + 1)*1)**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0396 (b) 3\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -116. Which is the nearest to 0? (a) -2\/7 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 20*j - 8. Let w be 5 + 6 - (2 - 1\/(-1)). Suppose s + 0 = -w. Let t(d) = -7*d + 3. Let i(m) = s*t(m) - 3*u(m). Let f(b) = -4*b. Determine f(i(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/10 + ((-21)\/(-45)*2)\/(5201\/4458).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(64)\/sqrt(2))**2 - 5*-1*sqrt(32)) + sqrt(192)\/sqrt(6)*-6 + -2.\nAnswer: -4*sqrt(2) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(6) + (sqrt(54) - sqrt(6)))\/sqrt(2) - (sqrt(300) - (1 + sqrt(300)) - sqrt(300) - sqrt(3))**2).\nAnswer: -361 - 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/5*(-5105)\/(-12252).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50757 - 50770 + 21437*n**2 + 101527 to the form s*n**2 + y + z*n and give s.\nAnswer: 21437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2 + 9*s - 5. Let l = -34 + 36. Let b(j) = 13 - 11 - 12*j**2 + 7*j**l - 4*j. Let w = 2 + 0. Calculate w*k(t) + 5*b(t).\nAnswer: -3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66766 and 5947.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - q = q - 12, -5*h = 2*q - 5. Let j be 42\/(-15)*h*10. Suppose -r = v + 4*v - 34, 0 = 4*v + r - j. Solve -4*f + a = -11, v*f - 8 = 3*f + a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342950263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(156) - ((sqrt(156) - (sqrt(156) + -1*sqrt(156))) + sqrt(156)))\/(sqrt(3) - (sqrt(3) + sqrt(12)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1203 - 20?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*m**4 - 73*m**4 + 2*m**3 + m**3 + 2*m + 2 to the form o*m**3 + j*m**2 + z + y*m**4 + a*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 96 - 34 - (-3 - (-17 - -10))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -24*m + 7*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36920293.1 rounded to the nearest 10000?\nAnswer: -36920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/((-1)\/((-6)\/(-9)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 17*j**2 - 9*j + 4. Let u be h(-9). Suppose -7*f + 38 = -u. Suppose f*y - 1 = 5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7057.\nAnswer: 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553187.\nAnswer: 37, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184900180*c**2*f**3 + 2*c*f**3 + 10*c - 6*f**3 + 2964*f - 110 wrt c?\nAnswer: 369800360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9919324 by -2479831.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2)*6\/(-4)*-24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 195, 1, 4 in decreasing order.\nAnswer: 195, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063.2776 months in decades?\nAnswer: 17.19398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85070 and 7511681?\nAnswer: 75116810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -631 + 139. Let k be 3 + -1 + l\/(-10). Let g = k - 51. Is g != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*x - 5, -4 = -k - 5*x + 2. Let d(r) = -472*r + 3. Let q(i) = i. Let t(o) = k*d(o) - 4*q(o). Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - 13.7. Let w = c + 14.7. Let u = w + -0.699912. Round u to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0775 (b) -6 (c) -3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27863720.\nAnswer: 2, 5, 617, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let f(c) = -2910*c. Determine b(f(i)).\nAnswer: -5820*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5846\/6 - 3*10\/(-45). Let s = y - 144. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/360 and 79\/4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11212112?\nAnswer: -11212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 10, -33.\nAnswer: -33, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*u - 23*u + 16. Let o(h) be the first derivative of h**2 + 9*h + 1. Give o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -972*g**2*k + 11*g*k - 31 wrt g?\nAnswer: -1944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51, -199, -449, -807, -1279, -1871, -2589, -3439?\n\"Answer: -y**3 - 45*y**2 - 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 2*r**3\/15 + 966*r**2\/5 + 386*r + 8070. What is d in c(d) = 0?\nAnswer: -965, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1065 and 6606?\nAnswer: 2345130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 27. Suppose -t + n*t - 60 = 0. What is the greatest common factor of 135 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {e: 1, v: 1, x: 6, m: 5, f: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47046355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x**3 - 45*x**2 + 5*x - 2. Let f(q) = 5*q**3 - 2*q**2. Calculate -4*f(r) + k(r).\nAnswer: r**3 - 37*r**2 + 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 954 - 1029 = 5*a, a = 5*m + 5*a + 60 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5365185*q. Let s(a) = a**2. What is f(s(c))?\nAnswer: -5365185*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.53, -0.14, 5690?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157895 + 157899 - 3*h + 157887 + 6*h + 157880 - 631545.\nAnswer: 3*h + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6691*i - 33462. Determine h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j - 18*j + 0 - 25*j - 2 + (65 - 23 - 29)*(3*j - 2*j + j) in the form o + y*j and give y.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 29*a + 24*a - 26 = 0, -5*m + 74 = -11*a. Calculate the greatest common factor of m and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272 - 8372.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -26. Suppose -3 = -u, v = -2*o + u + 10. Let z be (o + 1)\/(6\/8). What is the greatest common factor of z and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7836*-5720.\nAnswer: 44821920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 16*g**7\/35 - 23*g**4\/6 - g**3\/3 - 99*g**2 - 1. What is the second derivative of y(c) wrt c?\nAnswer: 1152*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7159127 litres in millilitres?\nAnswer: 715.9127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 17*f = 51, -2*c - 304*f - 6 = -302*f - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 19.07. Let d = -1.93 - t. Which is the second smallest value? (a) d (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -10, -30, -68, -130, -222, -350, -520?\n\"Answer: -t**3 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((1 - 0 - -2) + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(204)*3 - sqrt(204)) + sqrt(204))\/(-3*(sqrt(12) + sqrt(768))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -41*p**3 - 5960*p**2 - 1776104*p + 12. Let j(k) = -24*k**3 - 3576*k**2 - 1065662*k + 7. Let b(n) = -7*i(n) + 12*j(n). What is a in b(a) = 0?\nAnswer: -596, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y - 32. Let g be (6\/(-4))\/((-12)\/y). Find the second derivative of 5*w + w + 3*w**4 - g*w wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586378113 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, w: 12, b: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/63 + 41\/693. Let p = -104 + 104. Factor -2\/11*d + m*d**2 + p.\nAnswer: d*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from vfkovkoffguf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.0108 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164490 divided by 35?\nAnswer: 90414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, 4761, -0.5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43452 + -175?\nAnswer: -43647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 40*q + 279 = 0.\nAnswer: 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 312\/546*(-14098)\/(-152)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -3 (c) 354\/7 (d) 144 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + -74. Let h = n - -483. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 97, -1573, -6123, -14999, -29647?\n\"Answer: -241*j**3 + 6*j**2 - j + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**2*q**2 + 16*f**2*q + 926*f**2 wrt q.\nAnswer: 16*f**2*q + 16*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/7 + 347*z**3\/7 - 200*z**2 + 1404*z\/7.\nAnswer: z*(z - 2)**2*(z + 351)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**2 + 0*h**2)*(0*h - 2*h + h) - 2*h**3 + 0*h**3 + 7*h**3 + (-h + 2*h**3 + h)*(-1 + 4 + 0) + 2*h**2 - 2*h**2 - 12*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1326 and 965940?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 6. Let r = -325 + 326. Calculate the least common multiple of r and h\/6 - 19\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1077 and 17.\nAnswer: -18309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -3256556?\nAnswer: -3256551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9017, 18028, 27039, 36050?\n\"Answer: 9011*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/709 and 53\/113580.\nAnswer: 80528220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2. Let l(g) = -5*g + 2. Let n(z) = 18*z - 9. Let a(x) = -9*l(x) - 2*n(x). Give c(a(q)).\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 9)*33\/(-385). Which is the nearest to r? (a) 0 (b) -3 (c) 2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 65*f**3 + 4036*f**2 + 371*f + 25. Give j(-62).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2 + 7875*n - 15762 = 0.\nAnswer: -2627, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, g: 2, j: 4, d: 1}. What is prob of sequence jdqj?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:17 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*1)\/(sqrt(704)*-1 + sqrt(704) + -2*sqrt(275)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - -0.5. Let o = v + -0.52. Let j = -34 + 209\/6. What is the third smallest value in 2, o, -3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhqhvhv. What is prob of picking 4 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003814184 to 5 decimal places.\nAnswer: -0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -206361.88 to the nearest one hundred.\nAnswer: -206400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.36772 - 75.2685. Let o = h - 7.1. Round o to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14*o**3 + 2*o**2 + 12. Let h(l) be the first derivative of l**4\/4 - l - 36. What is 12*h(n) + y(n)?\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 22.7. Let g = 46 - 320\/7. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.95411 * 0.01.\nAnswer: -0.4195411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2334137g in milligrams?\nAnswer: 233.4137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-70))\/(1\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2 - b*i*r**3 - 73*b*i + 242*b*r**3 + i*r**2 + 2*i + 7281*r**3 + 9 wrt b.\nAnswer: 2*b - i*r**3 - 73*i + 242*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + j = -j + 44, 4*c - 108 = j. Is 4 a factor of c\/(-1)*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 - 119095*y - 21509670 = 0. Calculate y.\nAnswer: -23637, -182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = -10*r + 4450. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38257955, 76515902, 114773849, 153031796?\nAnswer: 191289743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 9. Let l be d(-3). Solve 3*i + l*g = 7*i + 8, i + 9 = -g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10516 is divided by 5250?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 963*t - 11. Suppose -q + 25 = -4*m, m = -2*q + 4 + 1. Let h be c(q). Suppose 1 = 4*r - 3, -b - h = -4*r. What is b rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -4.6, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0567 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/6 - s**2\/2 + 6*s. Let m be o(1). Let i(g) = -3*g**3 - 2*g**2 + 3*g**2 + 1 - g**3 - g. Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 12) to base 5.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/2 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {w: 5, k: 1, q: 2, n: 8}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)\/(f**(4\/9)\/f))**(-31)\/((f\/(f**(-1)*f)*f)**(-3\/16))**(14\/13) assuming f is positive.\nAnswer: f**(-29633\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(300))*2 - -5*(sqrt(75)\/sqrt(5)*2)\/sqrt(5))**2*3.\nAnswer: 108900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + (-62 - -24) + -6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020010010 (base 3) to base 2.\nAnswer: 101111001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -715323 * 5.\nAnswer: -3576615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 74*y**2 - 659*y - 659. Give c(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13392392.1697 take away -2.1?\nAnswer: -13392390.0697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 103538422\nAnswer: 517692110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176348 is divided by 29260?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 + ((-135)\/(-30))\/9. Suppose 0*o = -3*i - z*o + 132, 5*i - 2*o - 220 = 0. Calculate the remainder when 129 is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004 (base 8) in base 15?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-3))\/(400\/72))\/((-3640)\/(-18200)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - 5\/(-2). Suppose -6 + 2 = -m*o. Solve 5*y - 5 = -q, 6*y = -q + o*y + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 - (-43)\/9. Let j(v) = v - 20. Let l be j(-4). Let q(b) = b**2 + 25*b + 39. Let o be q(l). Solve -y = -5*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 10) to base 11\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*a**3 + 1 - 62*a**3 + 25*a**2 - a + 30*a**3 - 2*a**4 as m*a + l + i*a**2 + x*a**3 + r*a**4 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.74178 from -0.4.\nAnswer: -1.14178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18*r**2 - 45*r - 90. Let n be (6*5)\/(8\/36). Let h(b) = -b - 2. Let o(k) = n*h(k) - 3*w(k). Let a(d) = d. Determine o(a(u)).\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r - 340. Let t be s(84). Calculate the highest common factor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -722241*r + 722233. Determine p(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/33 and -4\/112068699.\nAnswer: 1232755689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48212726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -232 + 11278a?\nAnswer: 112558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02474577 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 5659 + 5659.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4679840*0.5.\nAnswer: 2339920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91766316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111244 + -2151?\nAnswer: 105053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18681242702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.3, 4\/3, 3\/7, 2\/115?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302 - 10110300112?\nAnswer: -10110302020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3384 + 7364 = 4*i - 3*o, 2*i = 5*o + 5360. Let x = 1 - 7. Is i\/4 + (4 - (-21)\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224141 is divided by 699.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**3 - 26*n. Let f(k) = -1. Let v(i) = 3*i + 18. Let w(l) = 18*f(l) + v(l). What is j(w(t))?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22382, -22430, -22518, -22652, -22838, -23082?\n\"Answer: -d**3 - 14*d**2 + d - 22368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 13*i**5\/20 + i**4\/12 - 2*i**3\/3 + 3*i**2\/2 - 3*i - 8. Let u(j) be the first derivative of c(j). Is u(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 2*f**2 - 3*f**2 + (-f**2 + 2*f**2 - 3*f**2)*(-2 - 34 - 6) to the form p*f**2 + y + r*f and give p.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -4*(sqrt(242) + -1 + sqrt(242)) + sqrt(242) + 0 + 3 + (sqrt(242) + 1 + 5 - (sqrt(242) + (-3 + sqrt(242) + 0 - sqrt(242)))))**2.\nAnswer: -2156*sqrt(2) + 12054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 17. Let l be t(21). Solve -3*r = -3*o + 9, r + 0*r - l*o = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128769*q**3 + 128759*q**3 + q - 3 - 4 to x + c*q**2 + s*q + t*q**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -11057\nAnswer: 77399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*x + h + 644, -2*h = -5*x + 1030. Calculate the least common multiple of x and 8.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 7)*(4*l - 2*l - 4*l) + 73*l - 71 + 71.\nAnswer: 85*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7012, 7007, 7002, 6997, 6992, 6987?\n\"Answer: -5*p + 7017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11923 is divided by 11347?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Let r = 0.3 - 1.3. Which is the third smallest value? (a) x (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 2:04 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**2 - 2*f. Let k(m) be the first derivative of -2*m**3\/3 + 663. Determine w(k(j)).\nAnswer: -32*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494474 is divided by 1247?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {s: 2, r: 1, q: 5, g: 3, n: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h = v - 10, 5 = 4*h + 3*v. Let g = 69 - 66. Let u(l) = -6*l**2 - g + h*l**2 + 3. Let a(m) = -m. What is a(u(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1365 (b) 5\/2 (c) -4 (d) -1416 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*v + 40, -6*c + 4*v + 77 = -c. Calculate the remainder when 49 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120780 by 5490.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (666\/333)\/((-26)\/1)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 56 - 219 = 0. Let h = 60 - p. Is 4 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5566808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2142, 4.\nAnswer: -2142, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 30789?\nAnswer: 30800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15696\/7 + -2242. Which is the closest to f? (a) 1\/2 (b) -3 (c) 6\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 172 - 288)*(7*t**2 + 83 - 83).\nAnswer: -2380*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c**5\/2 - 28875*c**4\/2 + 12653736*c**3 - 1722504516*c**2 + 64327254264*c - 21251497176 = 0. What is c?\nAnswer: 1\/3, 78, 1526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081993947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4170 - 2099 + 3*t - 2071.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1*c)**(3\/32))**24 assuming c is positive.\nAnswer: c**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 56. Let g = 154 + -98. What is the greatest common divisor of g and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 5*z - 4. What is y(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-90)*-10*(-12)\/32.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 - 312*f**2 - 303*f + 618 = 0. Calculate f.\nAnswer: -103, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 - 175*b**2 - 1085*b - 260.\nAnswer: 5*(b - 13)*(b + 4)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 20805 - 20805.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -31. Suppose 2*l - 5*k - 29 = 0, -2*l = -0*l + 3*k + 11. Suppose -18 = -l*h - 4. Calculate the remainder when q is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -59. Let q = -196 - r. Is -86 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 36. Suppose 2 = 3*p - 5*j - m, 14 = 5*p + j. Let z be 2\/18 - (-12)\/(-108). Solve z = p*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 13) in base 6?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -619276\/145 or -4271?\nAnswer: -619276\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 635 divided by -2\nAnswer: -635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 4*w**3 + w**3 - 3*w + 3*w - 2*w**3 + (-w - w + w)*(2*w**2 + 0*w**2 - w**2) + 2 - 2 + 3*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/16 + 13 - (-1 - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6453531ml to litres.\nAnswer: 0.0006453531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 857*f - 6792.\nAnswer: -(f + 8)*(f + 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and 3116.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/20 - l**4\/8 + l**2 - 4*l. Let s(d) be the first derivative of x(d). Factor s(j).\nAnswer: 3*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19196 - 9386. List the prime factors of c.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 3897 = 619. Let d = 336 + x. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(833) + 0 - sqrt(833)) - ((sqrt(833) + 1)*6 - sqrt(833))) + 4 - 4*-1*(sqrt(833) + 1)*-6)**2.\nAnswer: 10556*sqrt(17) + 701229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) -5 (c) 0.213 (d) -931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 271, 4, -4.\nAnswer: -4, 4, 86, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 121542674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/10 - 1*10\/(-25). Suppose t*b - 5*s + 0*s = 76, 2*b - 76 = -s. Let c(x) = x**3 + 8*x**2 + 2*x + 4. Let h be c(-7). Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45 minus 0.129?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 + 6 = 0, -4*i - 3*z = -9. Suppose 0 = -2*b + i - 4. List the prime factors of (-3 - -13) + (0 - b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0883 from -897.\nAnswer: -897.0883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3368 and 2947?\nAnswer: 23576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 68*z - 5708757 = -5706677 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(1200\/555) - (21\/35 + 0).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 22 - 29 + 345*w - 949*w - 1048*w as x*w + d and give x.\nAnswer: -1652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from hzhlwllhhlzzh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57024 + -57034. Let w(k) = 2*k + k + 24 - k. Determine w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 + c**2)*(0 + 4 - 2) - 1152175*c - 7030*c**2 + 1152175*c.\nAnswer: -7026*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*c + 26508, 3*z - 26488 = -z - 3*c. Let d = z + -4620. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96*a*g**2 - 1410*a*g + 319534*a wrt g.\nAnswer: 192*a*g - 1410*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1750*l**2 + 399*l + 744. Is w(37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-19)\/h)**(-25\/6) assuming h is positive.\nAnswer: h**(475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 10*u - 13. Give j(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6677 or -253705\/38?\nAnswer: -253705\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319, -7142, -16847, -30434, -47903, -69254?\nAnswer: -94487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5188.13 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)*n**(-10))**(2\/21)*(n**7\/n*(n*n**(2\/3)*n)\/n)\/(n**(2\/11)*n*n*n*n*n**(-6)\/n*n) assuming n is positive.\nAnswer: n**(13709\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*a - 11449, a - 5722 = -2*c - a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191907955 is divided by 1706?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 302053043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-8\/9))\/m)\/(m**(-9)\/m)*m**12*m*m**6 assuming m is positive.\nAnswer: m**(269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 13 + 0)*(-2*g + 0 + 0)*(-1 - 4 - 2*g**2 + 3).\nAnswer: 88*g**3 + 88*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208*0.05.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 10. Suppose 3*d - j = -l, 5*d - 2*d + 5 = -4*j. Let k(r) = -r + 4. Give k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 21 = -6. Suppose -2*o + 51 = -3*i - 35, 0 = -3*i + 4*o - 94. Sort l, 5, i.\nAnswer: i, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13720\/(-84))\/70*4\/70. Let p = 209339529\/522565 - -2\/104513. Let x = p - 399. What is the nearest to x in l, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.74, -0.5, -4, 1\/3 in increasing order.\nAnswer: -4, -1.74, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*-2*sqrt(3400)*2)\/(sqrt(2) + -1*sqrt(32) + -2*sqrt(2)*4).\nAnswer: -240*sqrt(17)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 10:09 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7736, 15470, 23204, 30938, 38672, 46406?\nAnswer: 54140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 452, 1808, 4068, 7232, 11300, 16272, 22148?\n\"Answer: 452*x**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4877254*u**5 - 2*u**3 + 105924974*u.\nAnswer: -97545080*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 - 327*t\/8 + 1485\/4.\nAnswer: 3*(t - 99)*(t - 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.03 (b) -1\/3 (c) 4 (d) -9\/7 (e) -2\/9 (f) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 90412.54kg?\nAnswer: 90.41254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100484?\nAnswer: 2, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 657490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -10) + 0 - (3 - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, -6, 6, -3.\nAnswer: -6, -3, 1, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11925\/(-475) + -1 + 8 + 6\/57. Which is the second smallest value? (a) q (b) -1\/26 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007971703 to 6 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 11*w**2 - 11*w - 10. Let g be t(-5). What is the tens digit of 5\/((-60)\/(-81))*g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 27 = -16 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 9:13 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*2\/(-8) - -13. Let i(z) = 2*z**2 - 11*z + 7. Suppose -3*j = j - 28. Let r be i(j). Calculate the greatest common factor of r and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2. Let m(a) = 126*a + 90. Calculate m(b) + 45*w(b).\nAnswer: 126*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzcvcvvccvce. What is prob of picking 1 c and 1 z?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145876081.53 - -147014050. Let n = o - 1137956.4700009. Let h = n - 12. Round h to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430486*u + 55622 with respect to u.\nAnswer: -430486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 7. Let y be (-44)\/(-10) + 4\/(-10). Let q be (8\/y)\/((-1)\/8). Is t(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1134, -2282, -3430, -4578, -5726, -6874?\nAnswer: -8022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15784*z**6 + 9022*z**2 wrt z.\nAnswer: -1894080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 825008*f**3 + 113439150000*f**2 - 5199218746699968*f - 10398891256600032.\nAnswer: 2*(f - 137502)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 846 + -877 + 0 + 1 + -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.034 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/2430*(-552)\/(-115)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 + 917*y\/2 + 9370.\nAnswer: -(y - 937)*(y + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1509346*l**3 + 3020385*l**3 - 1509896*l**3.\nAnswer: 1143*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = l + 2*m - 9, 0 = l - m - 21. Let o(k) = -l + 1 - 14 + 1 + 2 + k. Give o(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-35)*(11 - 1). Let r be (25 - 0)*z\/10. Solve 3*d = -n - r, 2*n + 2*d = 4*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -788 - -786. Is -113 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -1. Let a(u) = 13*u - 7. Let q be a(2). Let o = q - x. Solve 2*b - 3 = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 40*o + 25 = -79*o + 34*o, 42*v = 4*o + 324 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17763?\nAnswer: 3, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 = -2*h + 1313 - 648. Let y = -2 + 6. Calculate the greatest common divisor of h and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, v: 1, d: 2, g: 1, j: 12}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 116.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/(-12)*18\/((-216)\/(-300))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -48926 smaller than -48933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvjkbhbaavka. Give prob of picking 1 k, 1 b, 1 v, and 1 h.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p = -w, 2*p + 2 = w. Let v be 25 + 6 + w + 3. What is the greatest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-3)\/3) - (-206 + 0). Find the common denominator of 238\/8*82\/c and -95\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7522, -5, 1 in decreasing order.\nAnswer: 7522, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137.888873 - -149.8888736. Let j = -0.005 - -12.005. Let c = u - j. Round c to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32053 (base 6) in base 3?\nAnswer: -12222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, -61, 3, 327, 0.3 in ascending order.\nAnswer: -61, 0.19, 0.3, 3, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/11 in -2\/7, 2, -1.73, 1\/3?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 8:17 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74383030 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685.368 rounded to the nearest 10?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 626*f**2 - 35*f + 4. Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -893.9145 - 0.0855. Let i = -938.3 - o. Round i to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -8 (c) 0.14 (d) -2\/317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/14 - (-6)\/(-21). Let y = -0.16 + 5.16. Sort i, y, -2\/15 in descending order.\nAnswer: y, -2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 5*z + 13 = 0, -w + 3*z = 7. Suppose -3*k + 2 = -w*k. Find the third derivative of -2*a**k + 4*a**4 + 11*a - 11*a wrt a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -9, 6 in decreasing order.\nAnswer: 54, 6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 - -8) - 8 - -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 1 - 1 + (-2 - 2*p + 2)*(-37 + 4 - 9) + 0*p + 85*p + 145*p to z*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + h - 2*h = 54, r = -5*h + 16. Calculate the remainder when 28 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uryr when four letters picked without replacement from rruuryrrjyrrrurj?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 46. Let j = -23 + n. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + x - 5 + 16, p - 4*x + 1 = 0. Sort 21, p, 1\/2 in increasing order.\nAnswer: p, 1\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80*d - 25*d - 30*d - 23*d + 731)*(-3*d + 0*d + 0*d) to the form i*d + v + w*d**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286061830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**3)*h)**(2\/21))**29 assuming h is positive.\nAnswer: h**(232\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120.866 + -121. Let v = y - -0.064. Put -4, v, 3 in ascending order.\nAnswer: -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2*v\/(v**(-2\/9)\/v))\/(v**3)**(-18) assuming v is positive.\nAnswer: v**(497\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*57\/60 - (2 - -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 6*z + 28. Let n be l(-9). Let t = -75 - n. Solve -7*x + t*x + 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25\/1*159996\/670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k**2 + 396*k + 5. Let y be c(36). Let v(n) be the first derivative of 0*n**2 + 0*n - 2\/7*n**4 - 1\/21*n**6 + 0*n**3 - 7 + 8\/35*n**y. Factor v(f).\nAnswer: -2*f**3*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4 + 3000*b**3 + 2430405*b**2 = 0.\nAnswer: -459, 0, 1059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*x + 6*x - 9*x - 15*x**2 + 3*x**2 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95021, 95047, 95077, 95099, 95101, 95071, 94997, 94867?\nAnswer: 94669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 - 7*u**3 - 13*u**2 + 3*u + 18 = 0. What is u?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -393290.0001 + 393309. Let b = 19 - r. What is b rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10600, -36643, -80040, -140785, -218872, -314295, -427048, -557125?\n\"Answer: k**3 - 8683*k**2 - k - 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2. Let w(b) = -b + 1. Let u(a) = 2*a - 3. Suppose 5*p + 1 - 11 = 0. Let z(c) = p*u(c) + 6*w(c). Determine z(v(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 7*n. Let p(x) = x + 16. Give h(p(l)).\nAnswer: l**2 + 39*l + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-28)\/(-12) - -1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 253*a**3 + 4 - 5.\nAnswer: 253*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.16, 53, -1\/599?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9 = 2*m + 13, 4*m + 88 = -r. Let i be (-270)\/m + (-2 - 30\/(-14)). Is 8 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 8*o**2 + 7*o - 2. Let y be r(-7). Let s be 220\/(-8)*y\/(-2). Let v = -183\/10 - s. Calculate the common denominator of 131\/6 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(152)*2)\/(sqrt(8) + sqrt(32)*3).\nAnswer: 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(875) + sqrt(875)*-4 + sqrt(875))\/(5*sqrt(5)*1))**2.\nAnswer: 20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -310821*g - 3729861. What is o(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*o + 1301, 0*j = -3*j + 5*o + 973. Let b = -194 + j. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13544131 (base 6) to base 14.\nAnswer: -c15c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s - 185. What is b(-18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42918 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 5. Let o(s) = l*s**2 - 14*s**2 + 8*s**2. Let x(w) = -8*w + w - 2*w. Give x(o(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Suppose 0 = f - o - 1. Let z be 45750\/(-2)*16\/f. Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 23 - 3. Suppose -4*q = -x - 0*x - 16, -p*q + 16 = 5*x. Factor -1\/3*y**2 - 1\/3*y**3 + x + 1\/3*y**4 + 0*y + 1\/3*y**5.\nAnswer: y**2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x + 3*x - 2 - 13*x**2 + 7*x - 2*x + x**3. Suppose -28 = -3*l + 11. Is 6 a factor of u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 763, 32, 36 in increasing order.\nAnswer: 32, 36, 79, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298177 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*d**2 + 2*d**4 - 7 + 6 + 2*d**2 + 2*d as v*d**2 + k*d**3 + p*d + r + z*d**4 and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.03, -1\/3 in ascending order.\nAnswer: -36, -1\/3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(((-40)\/30)\/(((-160)\/24)\/10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/7)\/(6\/21). Let i(s) = -2*s**2 + 5*s. Let v(l) = -l**2 + 4*l. Determine m*i(k) - 5*v(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.7 + 25. Let l = 0.4 + m. Let b be -1 + (-1)\/((-17)\/15). Put b, l, 5 in increasing order.\nAnswer: l, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11033963 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -21*o + 2. Let p(u) = -147*u + 15. Let n(i) = -2*p(i) + 15*z(i). Let a(d) = -5 + 3*d + 6 - 1. Determine n(a(l)).\nAnswer: -63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 31530*w**2 + 44132685*w - 18044081960.\nAnswer: 5*(w - 328)*(w + 3317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20278 is divided by 6755?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 610915566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3937, 15745, 35425, 62977?\nAnswer: 98401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 8*z - 6. Let m be v(-6). Suppose 0 = f + f - m. Suppose -2*p - 3*n = 0, -14 = -5*p - n - f*n. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3484806.512 to the nearest ten thousand.\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 0.4 (c) -2 (d) -199 (e) -2\/2919\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 69 - 69 - 3*i. Let y(d) = -2*d**2. Calculate u(y(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -189, 565, -0.4?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1708222*-0.0013\nAnswer: -2220.6886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870253\/(-7491)*(-9)\/21?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828.5077l to millilitres.\nAnswer: 828507.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 74*x**2 - 185*x - 101. Determine z(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -3\/10*s**3 - 1\/20*s**4 + 0 + 0*s**2 + 20*s. Factor p(a).\nAnswer: -3*a*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 881022 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 15. What is the highest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5 - 48*w**4 - 322*w**3 - 508*w**2 + 1320*w + 2800 = 0.\nAnswer: -14, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 + 6*w - 8. Let c = -20 - -13. Let v(g) = -7 + 9*g**2 + 0*g + 16 - 7*g. Let o(h) = c*y(h) - 6*v(h). What is the derivative of o(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 4*r + 22, 4 = z - 5*r. Solve 0 = -z*u - 0*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.20339 millilitres in litres?\nAnswer: 0.08320339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, 1 d, and 1 p when four letters picked without replacement from zdtjijp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = -4*f, 10*f + 1 = 2*c + 7*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-105)\/6)\/(-7))\/(5\/240). Let t be 6\/(-12)*(-3)\/(9\/h). Calculate the highest common factor of t and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - v + 159083, 32*r + 127264 = 36*r + 2*v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -1287\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 620.716 to the nearest integer.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*x - 4, 3*b + x + 0*x = 6. Solve -7*d + 5 = -b*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfhw when four letters picked without replacement from {d: 3, f: 2, h: 1, v: 1, w: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 2*g + 7154. Suppose 0 = q + 6*q - g. List the prime factors of q.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 10*f**2 - 14*f + 21. Let h(y) = y**3 - 18*y**2 - 7. Let x be h(18). Let q be d(x). Let l = 107 + q. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose -q*v = -0*v - 12. Let j = -1 + v. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -76. What is the greatest common factor of x and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51756710417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, d: 7}. Give prob of picking 1 d and 3 n.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 15 - 670*g + 23 in the form i*g + m and give i.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 8, 5*w - 3*i = -2*i - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**3 + p**2 - 3*p + 3. Let r be t(1). Solve 5*m = -k - 4, 2*m - 3*k + 0*k = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 9. Let m(w) = -2*w + 3. Let y(h) = 2*h - 3. Let x(v) = -2*m(v) - 3*y(v). What is -4*q(r) - 11*x(r)?\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = 3*z + 226, -3*h = 5*z - 668. Suppose 23 + h = 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let b(k) = 27*k + 15. Determine z(b(p)).\nAnswer: -27*p - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 170, 330, 474, 602, 714, 810, 890?\n\"Answer: -8*t**2 + 184*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l + 2*l + 0*l as o + m*l and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -50?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -6 (b) 514409 (c) 0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(8531\/171 - 1\/(-9)). What is the highest common factor of z and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6798338 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 12. Suppose -11 - y = -5*m. Suppose 4*w - m = 9. Sort w, -3, 1.\nAnswer: -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7030 * 534.\nAnswer: 3754020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-34) + 1 + 0. Let m = -0.1 + 0.1. What is the third biggest value in r, 4, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 1:17 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/2*(-1291 + -11 - 20) is divided by 215.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13308 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((2\/(-4))\/(-1)). Let v be 5\/(-15)*-1*l. Factor 0*m + 0 + v*m**3 + 2\/3*m**2.\nAnswer: m**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4 + 5 + 5 + 8*i**3. Suppose 4*j - 4*w - 24 = 4, 3*j + 2*w - 1 = 0. Let n(z) = 10 + 10*z**3 - 3*z**j - 5. Determine 6*n(r) - 5*q(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1829 - -0.0181. Let l = 0.201246 - q. What is l rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {a: 2, x: 3, r: 3, d: 11}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -63, -7, -5, -1, 5, -4 in ascending order.\nAnswer: -63, -42, -7, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 + 22*b**2 - 108*b + 112. Let q(i) = -15*i**3 - 45*i**2 + 216*i - 222. Let w(v) = -9*k(v) - 4*q(v). Factor w(a).\nAnswer: -3*(a - 2)**2*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + e?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12097921 + 1.57100791. Let p = -116.45 - -115. Let z = p + q. Round z to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -d - 4*k, d - 50 = 2*k + 16. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isgfflgfqgifiqqgq. What is prob of sequence ggf?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*a - 3*r - 0*r, 1112*r - 10 = 1117*r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -21*u**2 + 19*u - 6. Let v(d) = -d + 1. Let h(a) = f(a) + 6*v(a). What is the second derivative of h(g) wrt g?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/(-1*1)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13163854 divided by 638\nAnswer: -20633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342 - 1016\/3. Is 4 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let r be (-1)\/2*-2*-1. Let q be 0\/1 - (-5)\/r. What is the nearest to 2\/7 in -0.2, q, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000341943 to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2\/9 + 31234*t\/9 + 10412\/3 = 0.\nAnswer: -1, 15618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 + 9*j**2 + 7*j**2.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 40. Solve -10 = -3*z - s*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**3 + 0*s**3 + 5*s**2 + s**5 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 22*k + 48. Let p be c(24). Suppose -2*s - 19*s + 546 = p. Calculate the lowest common multiple of 2 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*y + 1611 + 1794 = 0, 4*y = 5*r - 3405. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4243943 to four dps.\nAnswer: -0.4244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629415171?\nAnswer: 3, 7, 11, 23, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -31*q + 78*q - 225. Let u(t) = 24*t**2 + 8. Let v(c) = -24*c**2 - 7. Calculate q*v(j) + 5*u(j).\nAnswer: -24*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10992 divided by 5.\nAnswer: 10992\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126052, 126073, 126094, 126115?\nAnswer: 126136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 2*u**2 + 119*u - 594. Give d(14).\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 957 - 5743\/6. What is the closest to -1\/2 in -2\/11, b, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*0.3.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 152682884 divided by -38170721\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 9*i**2 + 5*i + 8. Let x(h) = h**3 + 9*h**2 + 5*h + 8. Let a(w) = -2*q(w) + 3*x(w). What are the prime factors of a(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n*t**2 + 18*n*t - 9*t**5 + 8*t wrt t.\nAnswer: 20*n - 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.98 + -0.02. Let y = -4 + 3.7. What is the closest to -1 in o, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 1. Let c(s) = -2*s. Calculate c(j(d)).\nAnswer: -12*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100122 (base 3) in base 6?\nAnswer: -33242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14775 is divided by 2365?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15650, -15696, -15852, -16184, -16758, -17640, -18896, -20592?\nAnswer: -22794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 32, -31, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*(j**(-15\/7)\/j)\/j*j)\/j)**(-12\/5) assuming j is positive.\nAnswer: j**(96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3047\/30240 + 13\/135. Calculate the common denominator of -137\/140 and w.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7010)\/33648*(-64)\/180\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/8 - (-30)\/(-120). Let l = -25.6 - -26. What is the nearest to 0.2 in v, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11476500 to the nearest 100000.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 25, 36, 51?\n\"Answer: 2*f**2 + f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 - 2?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 2 (c) 3\/2 (d) -0.1 (e) -9 (f) -3\/4 (g) -0.341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - -4. Let a = y - 6. What is the lowest common multiple of a and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 6*s**2 - 5*s - 6. Suppose 0 = -3780*k + 3789*k. Determine h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -170, 1, 0 in descending order.\nAnswer: 4, 1, 0, -4, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 18 - 59)*(-t + 6 - 6) to z + v*t and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-3)\/(-7))\/((-15)\/10))\/(2460\/3444). Let v = -47\/114 + -8\/19. What is the biggest value in -1\/6, v, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 + t**2 - t. Let l be h(1). Let g = 5.9 + -0.9. Which is the nearest to -2? (a) -4 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 3 - 3 + (-2*g**3 - 2*g**3 + 3*g**3)*(5966 + 7999 + 3447 - 1215).\nAnswer: -16198*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*w + 118*w = 224 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 1290*c**3 - 4 - 525*c**3 - 5 + c**2 - c**2 + 2*c**3 + (-c**2 + 4*c**2 - 5*c**2)*(-c + 2*c - 2*c).\nAnswer: 769*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(75))\/(sqrt(15)\/(sqrt(20)\/sqrt(4))))\/((sqrt(300)\/sqrt(125))\/(3*sqrt(12)*2)).\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*t - 5. Let f(m) = -7*m**2 + 2*m**2 - 1 + 10*m**2. Give f(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 685, 4854, 11803, 21532?\n\"Answer: 1390*u**2 - u - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onoc when four letters picked without replacement from cnqocccccouqccccfoq?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/9, 17, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 18*u + d - 35, 2*d - 59 = -5*u. What is the remainder when 1328 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from qzqyqqzyqqzyyyqqzyq.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5.4. Put x, -2\/11, -1\/6, -0.1 in ascending order.\nAnswer: x, -2\/11, -1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66678261 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -299*2\/52?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0, -42, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:44 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2735, 10831, 24325, 43217?\nAnswer: 67507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let m be (-230)\/35 + 10\/(-7). Put 0, m, f in increasing order.\nAnswer: m, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - 73 - 11 - (15 - 5).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, z: 1, i: 5, b: 4, u: 1}. Give prob of picking 2 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/7360 and -97\/16192.\nAnswer: 80960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-1*4)\/(sqrt(45)\/(sqrt(5) + sqrt(15)\/sqrt(3))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13083.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1007900.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0897? (a) 0.2 (b) 0 (c) -2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6922 + 0.1078. Which is the nearest to 0? (a) -0.4 (b) k (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/20 - 17*t**4\/4 + 289*t**3\/2 - 4913*t**2\/2 + 83521*t\/4 + 169. Factor o(u).\nAnswer: (u - 17)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(2) - sqrt(96)\/sqrt(3) - (sqrt(72) - (sqrt(50) - sqrt(2))*-6))**2.\nAnswer: -280*sqrt(2) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874077.\nAnswer: 3, 291359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 136 = -7*n + 4*x, -n + 46 = -4*x. Calculate the remainder when 76 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = 3*f, 5*t + 2*f = 4*t - 2. Let r = t - 0. Let p(c) = -3*c - 3. Let d be p(-3). Calculate the greatest common divisor of r and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -67*t**3 - 8*t**2 - 15*t + 10. Calculate the remainder when i(-2) is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from aaaaoaoaoa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/41073600 and -1\/3080520.\nAnswer: 123220800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 7. Let r(j) = -3. Let u(y) = 3*c(y) + 5*r(y). Let d(x) = -2*x - 4. Suppose o = -3*z + 15, -2*z + 5*o + 5 = -5. What is z*u(k) + 7*d(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 3*h - h - 414 + 380 = 0, -4*g + 4*h = 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4 + 2564*y**3\/3 + 207350*y**2 + 1221132*y + 1773. Factor x(q).\nAnswer: 4*(q + 3)*(q + 319)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 3*c**2 - 4*c + 4. Let v(i) = -i - 10. Let q be v(-3). Suppose 0 = m + 2*s + 13, -5*m - 62 = -s - 8. Let d = m - q. Determine f(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from mccmtmmmmjmmmmlmm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -7. Let j(b) = b + 2. What is the units digit of j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1479 - 969. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-7)*s*s**0)\/(s**(-6)*s*s**3\/s*s) assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, t: 2}. What is prob of sequence ttrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6560 - 2?\nAnswer: -6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*22\/385*-2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -39 and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5364 (b) 0.2 (c) -3\/4 (d) 8.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let p = 2.32 + -2.72. Which is the closest to 1? (a) t (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 12, 1389, -2, 171 in increasing order.\nAnswer: -5, -2, 5, 12, 171, 1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 249 or 0?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 7*w + 140. Let v = 8024 - 3890. Suppose 13*c = w*c + v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1443*u = 1436*u - 91. Let v(d) = 62*d**2 - d + 20. Is v(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470664961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -102, -145, -188, -231, -274?\n\"Answer: -43*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let p(o) = -23*o**2 + 3*o**2 + 45*o**2. What is t(p(y))?\nAnswer: 625*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i**3\/3 - i**2 + 2*i + 1. Let l = -8 - -13. Let m(f) = f**2 - 4*f - 3. Let a be m(l). Determine g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 = 3*p, 0*p + 8 = p + w. Which is smaller: 3\/2 or p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4455 - 4663?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.1 + 31.09768. What is o rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.463932 and -0.1.\nAnswer: -0.563932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 21592895?\nAnswer: 2591147400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -136. Let q = -2315 - -2326. Let d = a - q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14915 or -14912?\nAnswer: -14915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(121) + sqrt(121))\/sqrt(11).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -188307.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 13. Calculate the remainder when u(6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2. Let x(p) = 8 + 0*p**2 - p**2 + 3*p**2 - 3. Let h(j) = -10*o(j) + 4*x(j). Let w(q) = -3*q**2 - q**2 + 2*q**2. Determine w(h(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*n = 148 + 228, 4*n = -l + 136. Suppose 4*t - 84 = 3*r, 0 = -t + 6*t + 2*r - l. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.44845kg to tonnes.\nAnswer: 0.02244845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -501090840?\nAnswer: 501090839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-39) - 7568\/1118.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*i**4 - 227545*i**3 - 642*i + 14594 wrt i?\nAnswer: -192*i**2 - 1365270*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6))\/(d*d**(1\/2)))\/(d**(-6)*d\/(d*d\/d**(1\/9)*d))*(d**(4\/3)*(d*d**(-2\/5)*d)\/d)**(-28) assuming d is positive.\nAnswer: d**(-4747\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.77 + -0.23. Let t = p - -14.9843. Round t to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41912936243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84130459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.2. Let n = 2\/97 + 91\/291. Which is the nearest to 1\/8? (a) m (b) n (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 5*b - 244. Calculate h(16).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/(h\/(h\/(h*h**(-1\/3))*h)*h))**(-5\/2)*((h*h**6)\/h**(-4\/5))**(-40) assuming h is positive.\nAnswer: h**(-3739\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -1905.\nAnswer: -1905.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.3533 litres in millilitres?\nAnswer: 92353.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - i**2 - 2*i**3 + 2*i**2)*(-114*i**2 - 75459*i + 75459*i).\nAnswer: -228*i**5 - 114*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*t + 8, -2*t = -8*w + 5*w - 20. Solve 3*v - t*r - 18 = 0, -v - 4*v + 1 = 3*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g**4 + 18991*g**3 - 2*g**2 - 4220029.\nAnswer: -24*g**3 + 56973*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + r)*(-6*r**2 + 5*r**2 - 8*r**2) + r - r - 2*r**3 + (4 - 4 + 2*r**2)*(0*r + 0*r - r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*90.212\nAnswer: -360.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*c - 155, -12*z + 112 = 3*c - 10*z for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 50*i + 580. Let c be g(18). Let j(h) = -h**2 + 18*h - 59. Determine j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134298*z - 134185*z - 9718 = 0 for z.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(250)\/sqrt(2))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + n = 8, -4*n - 16 = 4*m - 3*n. Let y be 78\/4*4\/m. Let j = -18 - y. Solve -2*h + 4 = c, -c - c = j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 6:21 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.8 + 0?\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0*a**3 + 0 + 2\/5*a**6 + 21*a**2 + 0*a + 1\/30*a**5 + 23\/24*a**4. Find the third derivative of z(g) wrt g.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -9\/4 (c) 10 (d) 3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-2 - 4 - -13)) + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344 and 16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2082486899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8*v = 3*j - 22, 0 = 3*j + 3*v - 24. What is the remainder when 44 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4069.\nAnswer: 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-9 + (2 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*a + 72 = -351 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.18 + -0.18. Let l = -2 + 3. Let n = l - 2. Which is the biggest value? (a) m (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29267.38324 - 4.08324. Let k = -29010.2798 + f. Let v = k + -253. Round v to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -9*y. Which is the nearest to y? (a) -2\/5 (b) 1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + d**2 - d + 9. Suppose 5*n - 3*w - 212 = -w, 0 = 3*n + 4*w - 122. Let t = -40 + n. Let j be (t - 2)*2\/(-4). What is r(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*p = -1731 + 5625 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12795, -12337, -11565, -10473, -9055, -7305, -5217?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 333792853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -1, 3 in decreasing order.\nAnswer: 8, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-36)*126\/(-28). Suppose 0 = -3*u + 4*l - 4, 5*u + 0*l - z*l = 0. Sort -36, -4, u, 1 in ascending order.\nAnswer: -36, -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 88\/24) + 386\/39. Let o = -814\/91 + v. Let i = 0.3 + -0.1. Which is the second smallest value? (a) i (b) 0 (c) -1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17216, 27746, 38274, 48800, 59324, 69846?\n\"Answer: -l**2 + 10533*l + 6684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 149 * -0.3\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -120*g + 526. Give p(8).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3524215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1\/6 (b) -3 (c) -6 (d) 0.17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2109*y = -2118*y - 54 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let l(y) = 57*y. Let s = -97 - -117. Let k(g) = -s*g + 9*g - 18*g. Let a(m) = 7*k(m) + 4*l(m). Determine a(w(b)).\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-60)*3\/2. Which is the nearest to 0? (a) 0.4 (b) h (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n**2*s + 4*n**2 + 172*n*s**4 + 305 wrt s.\nAnswer: -5*n**2 + 688*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 3. Suppose -4*u = -2*f + 46, -u - 2*f - 7 = 2*f. Let a(w) = -5*w + 8. Let g(j) = u*r(j) - 4*a(j). Is g(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -254, -222?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 + -77. Let x = d + -42. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*q + 164*q - 237*q - 658 + 2970 = 0 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21390538 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 7*r - 3. Let y be x(-8). Suppose 0 = y*b - 9 - 16. List the prime factors of (-441)\/15*(-10 + b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*y + 601 = 3149 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 2 (b) 0 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1285823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(108\/64) + -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, b: 3, p: 7}. Give prob of sequence fjbp.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 1. Let x(d) = 4*d + 0 + 10 - 2*d. Suppose 0 = 12*u + 39 - 99. Let o(t) = u*f(t) + x(t). What is the first derivative of o(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m - 2*m. Let o be 2\/(m\/(-5 + 3)). What is the nearest to -4 in o, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 52\/65)*(2 - 7). Solve -17 = -3*q - x 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 656, 660, 672, 698, 744, 816, 920?\n\"Answer: h**3 - 2*h**2 + 3*h + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9809380849 and -0.1?\nAnswer: 9809380849.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11334, 22638, 33922, 45180, 56406, 67594?\n\"Answer: -n**3 - 4*n**2 + 11323*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*-2)\/(sqrt(1440) + (sqrt(1440) - sqrt(1440)*1) + sqrt(1440) + sqrt(1440))*4.\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -11, -1518.\nAnswer: -1518, -11, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29373?\nAnswer: 3, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*h = -3*h - 4022, 0 = -5*z - 2*h + 5032. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let k be i(4). Let m = -27.4 - -174.4. Let g = m - 148. Which is the nearest to g? (a) -0.5 (b) -2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clzczlzhzllcczczll. What is prob of picking 2 l and 1 c?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 13*t - 282. Let a = 99 + t. Suppose -q + m = 3*q - 238803, -a*q = 3*m - 298491. What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 0*x - 6*x + 14*x - 4*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-15 - (16 + -9 + -15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.913567 meters in micrometers?\nAnswer: 1913567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.5, -2088?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144329402?\nAnswer: 2, 7, 173, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(480)*2 - sqrt(480)))\/sqrt(12))\/(sqrt(64)\/((sqrt(88)*-1)\/sqrt(11))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 (base 3) in base 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 6. Let u be o(-4). Let r be (-8 - (-16)\/(-24))\/(6\/225). Let b = r - -330. Solve 7 - u = -b*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472377264.\nAnswer: 2, 3, 9841193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/8 and 51\/4570.\nAnswer: 18280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 6890*z**2 + 95725*z - 334180.\nAnswer: 5*(z - 1364)*(z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1218 or 13016?\nAnswer: 1218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:02 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose -5*z + 115 = -5*j, 0*z - 31 = -2*z - 3*j. Let k be (-6)\/z*176\/(-33). Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {z: 1, m: 1, l: 5, n: 1, w: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by ((-1)\/2)\/(((-7)\/36)\/7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114545849134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 1, y: 1, n: 1, g: 1}. What is prob of sequence odg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooossoosooo. Give prob of sequence osss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6) + -9*3\/(-81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:09 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 16*h**3*p**2 - 14*h**2 - h*p**2 - 3*h + 66*p wrt h.\nAnswer: -12*h**2 + 96*h*p**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26.49334*0.02\nAnswer: -0.5298668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72553 by 30.\nAnswer: 72553\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 477563 - -2252437. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, -3, 4 in descending order.\nAnswer: 4, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/100 of a millisecond?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -6. Let a = -5 - -3. What is the third biggest value in 2, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 245*m - 234. Is 66 a factor of l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 4049. Let i(w) = 4*w + 3. Calculate n(i(z)).\nAnswer: 60*z - 4004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 + 62*o**2 + 31*o - 130. Let m(w) = -4*w**3 - 32*w**2 - 19*w + 64. Let a(d) = -3*g(d) - 5*m(d). Give a(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 73. Suppose 3*d = -2*g - 72, g + 7 = 2*d - n. What is the lowest common multiple of 8 and (-4)\/g - (-515)\/75?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -265, -3356, -11733, -28036, -54905, -94980, -150901?\n\"Answer: -440*g**3 - 3*g**2 - 2*g + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 5*n**2 + 3*n - 8. Let x be v(-8). Suppose 3*w + 2*w - x = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.165 + 2.165. What is the second smallest value in 1, y, 5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 3, c: 1, w: 2, l: 1, z: 1}. What is prob of picking 3 r?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3253 + -2002?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/233, 0.8, -3, 11 in descending order.\nAnswer: 11, 0.8, 10\/233, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 506*t + 526. Calculate the remainder when 1598 is divided by j(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from anaaaaannaaaan?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27949485185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 + 8*d + 3. Let n be w(-8). Suppose n*t = v + 28 + 75, 5*v + 73 = 2*t. Calculate the highest common factor of t and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.106 (b) 2\/152369 (c) 3 (d) 1\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 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: Calculate (((-38008)\/(-14253))\/((2\/2)\/1))\/(1\/(-12)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -27. Let o = c - 2. Solve j + 2 = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 431.47783?\nAnswer: -435.47783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398654048 to the power of 1\/3, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfu when three letters picked without replacement from hulhhhuhfhl.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 291.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t - 849 - 176 - 951 = 63*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d**3 + 95962212*d**2 + 57577320*d = 0. Calculate d.\nAnswer: -4798110, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 57*g**3 + 511*g**2 - 995*g + 537. Let r(k) = -31*k**3 - 256*k**2 + 497*k - 270. Let o(v) = 6*m(v) + 11*r(v). Find h, given that o(h) = 0.\nAnswer: -252, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -877.606.\nAnswer: 877.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w - 3406 + 3406 + (-2 - 1 + 0)*(-1 + 0 + 2)*(-w - 4*w + 4*w))*(-2*w**2 - 2*w + 2*w).\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + r**2 - r. Let x be (-1 - 0) + (2 - 0). Suppose -2 = p + 5*a, -2*a + x = -4*p - 7. Calculate q(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -503?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -51. Suppose -g*f + 64 = -32. Calculate the lowest common multiple of f and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2 = -2*s, 0 = -4*s - 8*w + 6*w - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/12)\/((-19)\/(-418))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = l, -3*v = 5*l - 22 - 30. Let n be 1\/((-2)\/(-4)) + 0. Suppose 2*s + n*s = 44. Calculate the greatest common factor of s and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 3. Let q(u) = 113*u + 9. Let a(n) = -97*n - 8. Let v(p) = -7*a(p) - 6*q(p). Determine -2*j(c) + 5*v(c).\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6007, -12008, -17995, -23962, -29903, -35812?\n\"Answer: q**3 + q**2 - 6011*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2248*y - 293. Is d(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 406, 763, 1100, 1411, 1690, 1931?\n\"Answer: -x**3 - 4*x**2 + 376*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 12:46 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 850.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 18*m**2 + 22*m + 17. Let f be b(-15). Let z = -125 - f. List the prime factors of z.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 192 = 6*k - 3*p, p - 1 = 0. What is the remainder when k is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 + 15942*a\/5 + 31892\/5 = 0. What is a?\nAnswer: -2, 7973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1 - 4 + 49*k**2 - 22*k**2 + 4*k. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(-13\/4)*f*f**10*f*f\/f**8*f**13\/f assuming f is positive.\nAnswer: f**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/2*(28 + -14 - 361) is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:26 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2447*d + 39153. Give j(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -38, 2 in increasing order.\nAnswer: -38, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -268, -667, -1216, -1909, -2740, -3703, -4792?\n\"Answer: t**3 - 84*t**2 + 2*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -5, 2\/17, 3 in increasing order.\nAnswer: -5, -4\/3, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710716433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x - 21 = -2*c, 0 = -3*c + 3*x - 21. Calculate the remainder when (1 + 0)*(30 + -1) is divided by 2 - 1\/(c\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (-66)\/3 - (-4 + 4). Solve 0 + r = 8*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -303 + -2?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16a3304 (base 11) to base 6\nAnswer: -141525153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = 3*v, -z = 2*z - 4*v + 31. Let i = z + 9. Suppose a + f = 590, 0*a + 4*a + 5*f - 2363 = i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/392 and 9\/888728.\nAnswer: 43547672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 160 + 8. What is the nearest to 0.1 in -2\/3, 4, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.4 (c) -2241393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2503348273 to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29313 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 0.734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 1 = 20*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/3 (c) -5 (d) -4 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by -917?\nAnswer: -248\/917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) 0.12 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + a**3 + 4*a - 5*a**3 + 0*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176*f**2 - 193*f**2 + 95*f**2 + 2*f.\nAnswer: -1274*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 15*j**2 + 4084*j - 61390. What is l(15)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i + 7. Let d = 25 - 30. Let s(c) = -20*c + 20. What is d*s(u) + 14*o(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84420366 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -0.68?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139147503 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*o + 2337648 = 368*o. List the prime factors of o.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 29*y - 23*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -10.6. Let s = 1.4 - q. Round s to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000078928843 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -22, -182\/9, -4\/5, 10\/17.\nAnswer: -22, -182\/9, -4\/5, 2\/9, 10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o - 24*o - 51. Let x = o - 38. Let i = x - -15. Which is the second smallest value? (a) 0.4 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/13 in 4\/7, -2\/11, -178, -2, 1, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 5, -65.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 7*s - 6. Let v be i(-5). Let o = -461 - -466. Suppose o*a + v*a = 9. Is a != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -20, -1, 0.3, 2889?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - o + 234 = 0, f + 2*f + 4*o - 346 = 0. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**3 - 60*r**3 + 74*r**3 + 141*r**2 + 2 - 146*r**3 - 226*r**3.\nAnswer: -342*r**3 + 141*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 2*w**2 + 4*w + 11. Let o(l) = -3*l**3 + 497 + 3*l**2 + 10*l + 0*l**3 - 16*l - 513. Determine -5*o(x) - 7*p(x).\nAnswer: x**3 - x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuccucuppcppcucc. Give prob of sequence cu.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*l + 4 - 3, -2*o + 3*l + 5 = 0. Let h = -131 - -133. Let y(n) = n**3 - 3*n**2 + 2*n + 5. Let t be y(h). Solve -2*m - t = -o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6 + 5*f - 4 + 0*f + 2*f**2. Let u(x) be the third derivative of 3*x**2 + 5\/6*x**3 + 0 + 0*x + 11\/24*x**4 + 1\/12*x**5. Give 7*d(w) - 3*u(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 + 2*y - 1. What is the tens digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1811606*z**3 - 791334.\nAnswer: -5434818*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13271 divided by 2.\nAnswer: -13271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > -248122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 14*m**2 - 12*m - 4. Let c be u(-14). Let g be c\/(-16) - 10\/(-8). Let a(n) = -n**2 - 9*n - 2. Determine a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2373707 and 0?\nAnswer: 2373707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + j - 546 = 2143, -2*x = 3*j - 2699. Suppose -1988 - x = -15*g. List the prime factors of g.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*z + 4 = -7, -4*c = -4*z - 4. Suppose -37 = -c*k + 5*h, -k - 1 = 14*h - 9*h. Solve -17 = k*r + 28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + v)*(-2*v - 3*v**2 + 2*v) + 23*v**3 - 44*v**3 + 28*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1857*i + 3673. What is q(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2618802 and 45392568?\nAnswer: 136177704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 8064544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73572528?\nAnswer: 2, 3, 59, 83, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56440942 to the nearest integer?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28534853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -14 (b) -4\/69 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*y + 36, -4*h = 15*y - 13*y - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*g + 7 - 3 + g - 5 to y + t*g and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uca when three letters picked without replacement from {a: 1, t: 4, f: 1, v: 2, c: 6, u: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.93 plus -8531.09?\nAnswer: -7759.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.73 and -32925.\nAnswer: -1275185.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*d + 10 = -3, -d - 13 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + w - 3*w - 5 + 5 - 3*w + 0*w + w + (-5*w + 4*w + 3*w)*(-2 + 1 + 0) + 2*w + 2*w - 3*w)*(-10*w**3 - 130*w**2 + 130*w**2).\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 25192512.\nAnswer: 75577536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2649, 2497, 2243, 1887, 1429, 869?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.066114 - 305.\nAnswer: -302.933886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0*c + 2*c - 4*c) - 206 + 142 + 2*c + 125 + (-3 + 5 - 1)*(c - c + c).\nAnswer: 5*c + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, h: 7}. Give prob of sequence bg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(3\/2)))\/(c*c**(-1))*c**1\/(c*c**(-1)*c) assuming c is positive.\nAnswer: c**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 450 = -2*s, 9*j = 10*j - 4*s - 123. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2 - -2 - (-13 + 20)) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -1) + 16\/8 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/(-185))\/(66*(-4)\/(-16))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + 6*(0 + -2*sqrt(539))**2*6).\nAnswer: -310448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.97 - -3.27. Sort -3, 0.1, h, -22 in ascending order.\nAnswer: -22, -3, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**2 + 7*b + 78. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.710161 millimeters in meters?\nAnswer: 0.003710161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-54144)\/(-5452) + (-4)\/(-58)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*b - 16 = 0, -6 = j - 2*j - b. Suppose 13 = -4*g + 17, 61 = 3*u - 5*g. What is the lowest common multiple of j and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 1. Let m be u(-11). Let j(z) = -3*z - 7. Let x be j(-5). Calculate the highest common divisor of m and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 151 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.217 + 126.783. Let s = x + -126.8. Let k = 3.06 - 0.06. What is the biggest value in s, k, -1.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) 5 (c) -13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*d = -0*d. Let s = -36 + 39. Suppose -s*m - m = d, -r + 620 = m. What is r rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445785262 + 311759.\nAnswer: -445473503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6806645s to nanoseconds.\nAnswer: 680664500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 425576922*t + 271488080 wrt t.\nAnswer: 425576922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2207, -4413, -6619, -8825, -11031?\n\"Answer: -2206*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28131992 by 2.\nAnswer: -14065996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*c**2 - 15\/2 + 10*c.\nAnswer: -5*(c - 3)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -62. Let d = 561\/38 + -29\/2. Is v bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 12. Let q(g) = 2*g + 20. Let p be q(-5). Suppose p*u = 22*u. What is l(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, 15, 1 in decreasing order.\nAnswer: 15, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19\/34 + -1\/17. Is v at least as big as -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 9. Let h(o) = 177*o - 4 + 161*o - 337*o. What is -7*h(t) + 3*w(t)?\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 29. Let x = 0.31 + -0.01. Let t = x - 6.3. Is g at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*a - 12. Let g(d) = d**3 + d. Let f(u) = -u**3 + 10*u + 14*u - 26*u. What is a*f(q) + 4*g(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 65*p**8\/336 + p**4\/6 - p**3\/2 - p**2 - 22*p. What is the second derivative of t(k) wrt k?\nAnswer: 1300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 59*l + 62. Give r(24).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 254*h. Let s be 3*(3\/9 + 0) - 0. Let y be f(s). Suppose 8*l = 10*l - y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 1212608 - 1212608.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21983 + 21982.9956071. What is c rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 195*i + 410.\nAnswer: -5*(i - 41)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {p: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -90. Let c be (-4)\/1 - -2 - f. Suppose -2*p + 49 + 81 = 2*j, -4*p + 3*j = -246. Is c bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641744387?\nAnswer: 73, 8791019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/287070 and -173\/12458838?\nAnswer: 62294190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 272, 1078, 2414, 4274, 6652, 9542?\n\"Answer: -p**3 + 271*p**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3 - -1)\/(94\/564)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -30.4, 245, -323 in decreasing order.\nAnswer: 245, 0.5, -30.4, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(9\/(-5))\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 110*y**2 + y + 18. Let g(v) = -1. Let w(m) = 3*g(m) + i(m). Let z be w(-7). Let t be 4\/(-24) + z\/(-12). What is t rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 12*i**2 - 12*i = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6451746 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*w = -4 + 2, a + 2*w + 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 402667647 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3509, -6993, -10475, -13955, -17433, -20909, -24383?\nAnswer: -27855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 6 = 6*s. What is the highest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529485, -1058754, -1588023, -2117292, -2646561, -3175830?\nAnswer: -3705099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -8, 1, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -8*s - 6*s. Let g(i) = s*i + 28*i**3 - 61*i**3 - 3 + 32*i**3 - 4*i. What is g(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.463 + -0.163. Which is the smallest value? (a) k (b) 0.063 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 - 224*y - 56. Give d(38).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-42))\/(3\/(-21)). Which is the nearest to -0.2? (a) n (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - 1) + 22 + (0 - 8 - (-36 + 41)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 + g - 4. Let o be y(5). Let r(p) = 11*p. Let u be r(o). Calculate the highest common divisor of u and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 29 + 4 = -5*q, -5*k - 37 = -3*q. Let w be 1*1\/(2\/4). What is the derivative of 2*l**4 - 5*l**q - w + 4*l**4 wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d - 50 = 0. Suppose -4*x + 26 + d = 0. Calculate the highest common factor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -63. Let h(m) = 26*m + 132. Calculate the remainder when 42 is divided by h(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*s**3*v**3 - 8*s**3*v + 9*s**3 + 2*s*v**3 - 40*s*v**2 + 2*s + v wrt s?\nAnswer: -288*s*v**3 - 48*s*v + 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 - 13*a - 22 = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*w + 331*w = -56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1094764 and 47\/1691908.\nAnswer: 18610988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17174973, 34349951, 51524929, 68699907?\nAnswer: 85874885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.000166 - 1. Round p to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-25\/6)*x\/(x**(-23)*x))\/(x**(1\/19)\/((x*x\/x**5*x)\/x)) assuming x is positive.\nAnswer: x**(1799\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.5835 - -0.1565. Let r = l - 14. Let q = 0.249 + r. What is q rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l**2 - 11 + 1\/10*l**5 - 1\/30*l**6 - l + 0*l**4 + 0*l**3. Let d(a) be the first derivative of s(a). Factor d(m).\nAnswer: -m**3*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 48 - 16 - 13 - 15.\nAnswer: 5*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -81.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 823795990 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 q(v) be the first derivative of -1507*v**4\/4 + 1132*v + 1287. What is the derivative of q(d) wrt d?\nAnswer: -4521*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {m: 1, l: 2, j: 2, t: 1, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -105607*j - 422597. Calculate n(-4).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/5 + 1307*c**3\/5 + 185811*c**2\/5 + 73541*c + 36640 = 0.\nAnswer: -1145, -160, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*y + 8, -2 = 5*y - 6*y. Suppose -u = 10*q - 12*q. Factor 2*x**3 + 3*x**2 + 6*x**q - 9*x - 11*x**3 - 15*x**2.\nAnswer: -3*x*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -36)\/28*21\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsgg when four letters picked without replacement from {j: 2, g: 7, s: 11}?\nAnswer: 77\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/3 - 239*y**3\/3 + 14201*y**2\/3 - 13489*y\/3 - 9310 = 0.\nAnswer: -1, 2, 105, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -709b7b7?\nAnswer: -709b7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0.5, -5\/2 in descending order.\nAnswer: 0.5, -5\/2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 + -12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 1.81032\nAnswer: 21.72384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 58, 3, -1.23, 57, 5?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/135 + 221\/270. Sort -0.2, c, -1 in ascending order.\nAnswer: -1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91529 is divided by 469?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 5. Let r be k(0). Which is the closest to 2\/5? (a) -0.2 (b) r (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r**6))**(3\/10) assuming r is positive.\nAnswer: r**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.58.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 925 + 313 = 4*a, -2*a + 742 = 3*x. Calculate the remainder when (-14*1\/1)\/((-4)\/74) is divided by 1\/(-3)*(4 - x\/3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 1 + 28 + -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 54\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -41*u + 2. Let c(g) = 780*g - 39. Calculate 2*c(f) + 39*v(f).\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 20. Let u be ((-21)\/(-5))\/(4\/a). Let y = -11 + u. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610912981?\nAnswer: 3, 1129, 770863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32702.1 + 32702. Let m = -0.2 - -0.3. Which is the fourth biggest value? (a) 4\/5 (b) k (c) m (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221690 is divided by 4715.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 + 2\/(6\/11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17039 = 516*s + 1559. Let m(a) be the third derivative of a**6\/120 - a**5\/2 + a**4\/3 - 6*a**3 - a**2. List the prime factors of m(s).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10401*k + 3*k**2 + 10401*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from qgwqqgqpgwf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6756 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l*l**(3\/2)*l)\/(l**(2\/9)*l*l**6) assuming l is positive.\nAnswer: l**(-193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.06818, 27\/5, 4, -6?\nAnswer: -0.06818","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + j + 4*j = 0. Solve j = 7*s + 23 - 37 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-30) - (-51)\/(-5). Let b be ((-6)\/16)\/((-15)\/g). Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1756286*o + 3 + 1756285*o - 3.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 44. What is the common denominator of (-395)\/(-25)*(-5)\/(-16) and -37*(1 + 60\/j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5866, 5867, 5866, 5863, 5858, 5851, 5842?\n\"Answer: -f**2 + 4*f + 5863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 2002, 6834, 16270, 31852, 55122?\nAnswer: 87622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -37087*i + 2. Let v be s(6). Let n be v\/(-30)*(-31)\/(-24). Let z = n - 9588. Find the common denominator of z and -117\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/6)*b**(-13)\/b*b**7\/((b**(-2\/13)\/b)\/b) assuming b is positive.\nAnswer: b**(-287\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61312304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/224 + (-22)\/(-8). Let f(w) be the second derivative of 0*w**2 + 3\/5*w**5 - 1\/4*w**4 + 0*w**k - 16*w + 0. What is the third derivative of f(t) wrt t?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 214 - 184*k + 549 + 1508*k + 406*k + 1578 with respect to k.\nAnswer: 1730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/21 + 320*q\/3 = 0. Calculate q.\nAnswer: 0, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331770 is divided by 36862.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -51.2353?\nAnswer: 51.1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Let o be (4\/(-5))\/(-1 - (-77)\/75). Let v = o + 54. Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*k = 141, 4*r = 4*k - 3 + 215. Let q = 82 - 56. Calculate the remainder when r is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**5 - 111*y**2 - 487*y - 24*y**4 - 11*y**4 + 111*y**2 + 13*y**5 wrt y.\nAnswer: 100*y**3 - 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-20)*(70\/4)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y - 4 + 6 - 2.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -221796, -443586, -665362, -887118, -1108848, -1330546?\n\"Answer: w**3 + w**2 - 221800*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 123.46476 milliseconds?\nAnswer: 0.002057746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5 = z, -9503*z = -9501*z + 4*j - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 9*x**2 - 7*x + 6. Determine j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 7. Suppose 0*o = f*o. Suppose 2*w = -o*w + 70. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 3*c - c + 0*c - 3*c + c + (2*c - c - 3*c)*(-1 - 4 + 3) - 2*c + 4*c - c + (-c - 14*c + 4*c)*(-6 + 4 - 6) in the form w*c + o and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t - 584. Calculate n(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1109, -2, 0 in ascending order.\nAnswer: -2, 0, 1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:52 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -45694 (base 12) to base 5\nAnswer: -10430220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 723787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51805 = -116*w + 103*w. What are the prime factors of w?\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160 + -167. Let q(t) = 7*t**3 + 7*t**2 + 2*t + 2. Let c(k) = 16*k**3 + 15*k**2 + 3*k + 4. Let x(f) = l*q(f) + 3*c(f). Factor x(j).\nAnswer: -(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t - 6. Let c be 2*(-4 - -3) - -8. What are the prime factors of l(c)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9580 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 1288 + 1190 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.5 + 10. Let c(m) = 8*m + 33. Let h be c(-5). Let k be 2\/(-7) - 24\/(-378). Sort k, p, h, -2 in ascending order.\nAnswer: h, -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.52867 seconds?\nAnswer: 9528.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -62.6576?\nAnswer: 18.79728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 253 times 0.352\nAnswer: 89.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5007615 + 5007615 + 1022*x**2)*(2 - 2 + x)*(-3 - 1 + 5) in the form a*x + v*x**2 + k + n*x**3 and give n.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6*w + 54. Calculate the least common multiple of ((-1)\/6)\/((-1)\/w)*28 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z**2 + 3*z + z**2)*((1 - 3 + 1)*(-2*z - 2*z + 5*z) - 3*z + 3 - 3).\nAnswer: 8*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -3, -2, -3?\n\"Answer: -j**2 + 6*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 + 6 + -7 + 1 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-34)\/4)\/((-4)\/(-76)). Is -182 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941732701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooodvflfvsv. Give prob of sequence sof.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 - 68*r + 3. Let v be i(10). Let p(y) = -38*y + 32*y + v*y. Let k(c) = 134 + 2*c - 134. Give p(k(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23087591*l**3 - 3*l**2 - 173566574*l.\nAnswer: 138525546*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i - 4*l, -3*l + 5 = -2*i - 2. What is the units digit of i*669\/1*(1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - 3*p)*(-38*p**3 - 30*p + 30*p).\nAnswer: -76*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 7, l: 1}. What is prob of sequence lb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7568 is divided by 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25442447.\nAnswer: 2203, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.1 (b) -0.25 (c) 1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5*t = -3*m - 128, -20 = 5*t. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15088 - 120431\/8. Let d be ((-98)\/(-1) + 4)*(38\/6 - 6). Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let q(m) = -5*m - 1. Let v = 771 - 769. Determine v*t(d) - q(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-141)\/9*111\/(-8). Let r(o) = 25*o**2 + o - 5. Let l be r(-3). Let x = l - n. What is the nearest to -2 in -0.2, x, -1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 75*o + 78*o - 1.\nAnswer: 153*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145951683 is divided by 72975819?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 539 and 0.08.\nAnswer: 43.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-176)\/220)\/(421\/415 + -1). Let r = h - -329\/6. What is the nearest to -1 in r, -41, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.0932 + 0.0932. Put j, -2\/7, -1.1 in decreasing order.\nAnswer: -2\/7, -1.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11214 + 13010142?\nAnswer: 12443423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (54 - (65 - -32))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055725438 rounded to 4 decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -167197 times 2?\nAnswer: -334394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-7) - ((-1056)\/(-231))\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*p**3*t - 265*l**2*p**3 + 4*l*p**2 - p**3 + p**2*t + 2*p*t wrt l.\nAnswer: -4*p**3*t - 530*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -0.101?\nAnswer: -0.0707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 45.9. Let o = -2 + 1.8. Let r = o + -0.3. Which is the closest to -0.1? (a) r (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 3*g + 4. Let c(a) = -16*a. Suppose -4*j - 3*i = -10 + 5, 12 = 3*j + 5*i. Calculate the least common multiple of c(j) and y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -39, 4, -4, 0 in decreasing order.\nAnswer: 10, 4, 3, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 147*z + 1001. What is o(-66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349372, -698768, -1048190, -1397638, -1747112, -2096612, -2446138?\nAnswer: -2795690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/26775 and 229\/32130?\nAnswer: 160650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2842 + -3234.4. Let h = 445 + r. What is h rounded to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 909246, 45 in decreasing order.\nAnswer: 909246, 45, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 9552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 849 + 893 = 3*t, 5*t - 4*y - 2904 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.46783 - 0.04117. Let i = 0.491 - h. Let k = -8 + 13. Put i, 0.2, -1\/2, k in decreasing order.\nAnswer: k, i, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2)\/4*-2. Suppose 0 = f*p - p - 3. Suppose 5*s = 21*s - 80. Solve -2*o + 0*o + 7 = -3*c, s*o = -p*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*27.57\nAnswer: -3.0327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -202, -336, -468, -598, -726?\n\"Answer: o**2 - 137*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1435, 7, 1, 8 in increasing order.\nAnswer: -1435, 0, 1, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -28. Solve a*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - (18 - 6))*461\/(-7). Which is greater: 67 or k?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010 - -100111110?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1, 6\/7, 2266?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/30 and -40\/141.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6086 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1311133 kilograms in grams?\nAnswer: 131.1133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -27229*g + 626272. Give o(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 138819669 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 153, 326, 559, 846, 1181, 1558?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(4 + (-2*sqrt(3) + -3 - sqrt(3))))**2 + -5) + 1.\nAnswer: -480*sqrt(3) + 2216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29080, 115093, 258448, 459145, 717184, 1032565?\n\"Answer: 28671*f**2 + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/23)*y\/(y*y\/(((y\/y**20)\/y*y)\/y)*y) assuming y is positive.\nAnswer: y**(-508\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 165. What is the greatest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = 1185. Let b be (-21)\/(-35) + j\/5. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 11000101?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 + 1. Let w(c) = c**3 + c**2 + 1. Let z(m) = 3*m**3 - 3*m**2 - 2. Let u(n) = 2*w(n) - z(n). What is -4*b(t) + u(t)?\nAnswer: 3*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = -3*b. Let s be 14*b\/(-4)*-11. Let g be (-1 + -1)*(-70)\/20. Calculate the greatest common factor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9341 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*b + 26 = 0, 4*o + 2*b - 18 - 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, y: 1, x: 1, h: 1}. Give prob of sequence xgy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 6*s + 2. Let x(k) = 2*k**2 - 2*k + 1. Let m(g) = -3*r(g) + 8*x(g). Let b be m(-2). Solve -i + b*i - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -517 - -560.05. Let c = p - 43. Let d(o) = -o**2 - 2*o - 2. Let s be d(0). What is the nearest to c in -1, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*k, -2*m + 2*k - 20 = -3*m. Let g be (1 + (-179)\/4)\/((-13)\/(-1612)). What is the remainder when ((6\/(-5))\/(-2))\/((-35)\/g) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20826)\/2670 - (0 - 2\/(-10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102342, -102283, -102224, -102165, -102106, -102047?\n\"Answer: 59*o - 102401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p + 8. Give o(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180)*-5)**2.\nAnswer: -9000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 5, -3.\nAnswer: -12, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -0.130555868?\nAnswer: -16.130555868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 + -96. Let z = 364 + h. What are the prime factors of z?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293931.5006 + 1343.\nAnswer: -292588.5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 - j**4 - 101*j**2 + 96*j**2 + 2*j + 2 as f*j**3 + s*j + p*j**4 + h*j**2 + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -1.24. Let h = d + 1.5. Let j = h - -0.01. What is j rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 37.6\nAnswer: 225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let m(y) = -y**2 + 105*y + 1275. Let w be m(116). Let u be (-1)\/h + w - (-2699997)\/(-6). Round u to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 120.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 2*b**2 - 2*b - 3. Let d be j(-2). Let o(m) be the third derivative of -m**4\/8 - m**2. Calculate o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 713.3808g?\nAnswer: 713380800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 335, 347, 359?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 181602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110210211 (base 3) to base 7.\nAnswer: 514522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12657 take away -247?\nAnswer: 247.12657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 1:10 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -71*z**2 - 12*z. Let x(f) = f. Determine h(x(y)).\nAnswer: -71*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2a4766 (base 12) to base 10\nAnswer: -713022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27.9? (a) -5\/3 (b) -31 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/(20\/900).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32192.8 and -7.\nAnswer: 225349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let z = k - 0. Suppose z = -3*x - 6, -d + 0 - 3 = 2*x. What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 27. What is the remainder when 51 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w + 40 = 4*b, 50 = 5*b + 5*w. Calculate the highest common factor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*x + 497, -17*x + 21*x + 13*l - 1005 = 0. Calculate the highest common factor of 2108 and x.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 20\nAnswer: 57\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32636 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -c6151 (base 16) to base 9\nAnswer: -1465854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43035, -86075, -129115, -172155, -215195, -258235?\n\"Answer: -43040*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 + 80*s - 75 = 0. What is s?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322764 and 1084044.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n**2 + 12*n**2 + 6*n**2 + 5*n**2. Let z(l) = l**2. Give z(u(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -2.95. Let f = 36.83 - 37. Let j = q - f. Round j to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 + 52*w - 88 - 72 as o + f*w and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, -5, 6018, -4, -59.\nAnswer: -59, -26, -5, -4, -2, 6018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 43400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/20393 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*q**3*x**3 - 3*q**3*x + 2*q**2 - 3*x**3 - 18*x wrt x?\nAnswer: 78*q**3*x - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.455 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/15*1*3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*j - 224*j + 1146*j**3 + 635*j.\nAnswer: 1146*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/9)\/(3\/(-6)). Solve 6*n - n = -15, -x*s = -n - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 85*d. Let h(t) = -339*t. What is -4*h(z) - 15*y(z)?\nAnswer: 81*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*k - 543 + 506, -2*k = -g + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 84, 266, 588, 1068, 1724?\n\"Answer: 3*p**3 + 52*p**2 + 5*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 2 + 809*c**2 - 424*c**2 - 421*c**2 + 3*c**4 + 3*c as d + z*c**2 + w*c + m*c**4 + h*c**3 and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -182, -189, -198, -209?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2628 divided by -657\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + (671\/(-11) - -16).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 24*z + 53. Is h(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 7*f + 16. Find the common denominator of 5\/56 and (79*1\/5)\/(f\/15).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 2*q - 6*q - q as y + s*q and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(114) + sqrt(114)*1 + sqrt(114)))\/sqrt(6))**2 - (sqrt(76)\/(sqrt(4) - sqrt(4)*3) + -2).\nAnswer: sqrt(19)\/2 + 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h. Let m(o) = 499*o**2. Give m(i(z)).\nAnswer: 4491*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n**2 - 286*n - 6. Let z(k) = -8*k**2 + 136*k + 3. Calculate 4*y(w) + 9*z(w).\nAnswer: -4*w**2 + 80*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/138 and -95\/9568.\nAnswer: 28704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {j: 5, y: 1, g: 3, e: 1, r: 4, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.8827 rounded to 1 dp?\nAnswer: 373.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 6\/4)*-40. Suppose j - 5*b = -4*j - 1065, -5*j = b + 1059. Let c = -188 - j. Calculate the highest common factor of c and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - (15 - (13 - (15 + -8))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -40. Let f = 14 + 5. Calculate the remainder when f is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**2\/5 + 39*a\/5 - 12744\/5 = 0.\nAnswer: -72, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-152903)\/7 + (-26)\/(-91). Let m be j\/(-30) - 5\/50. Let l = 4311 + m. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*n. Let g(s) be the first derivative of s + 10 - 9\/2*s**2. Let c(b) = -b. Determine n*g(x) + 6*c(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*7)\/(1486\/743).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -60*v**3 - 2*v**2 + 1. What is the units digit of o(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*w + 112, 0*w = -3*w - k - 160. Let q = 55 + w. Solve -3*y - 5 - q = -s, 0 = y + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.4335 rounded to one decimal place?\nAnswer: 110.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 3239?\nAnswer: 12956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*m - 92 = 0, 0 = -5*m + 17 + 3. What is the greatest common divisor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-3)\/6). Suppose l - 7 = -z*l - 3*i, 5*l = 3*i + 2. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**2*l - 2862241*d**2 - d*l - 3*d - 408*l - 4495 wrt d.\nAnswer: 10*l - 5724482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 - (-92)\/2392*1183\/(-28)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 15. What is j(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*l + 5*q, -l - 4*q - 12 = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - 6*u**2 - 3*u - 8. Let s(m) = -3*m**3 - 12*m**2 - 7*m - 15. Let c(y) = 5*r(y) - 3*s(y). List the prime factors of c(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 - 11*c**2 - 6*c + 3. Let a(s) = -s**3 - s**2 + 1. Let h(t) = -5*a(t) + q(t). What is h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/(-156) - 2\/(-8). Let y = 1.13 + 8.37. Let m = y - 10.5. Which is the second smallest value? (a) u (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 h when four letters picked without replacement from bkhkkkbb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2169, 2171, 2175, 2181, 2189, 2199?\n\"Answer: h**2 - h + 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muuffuuuumufuumuuauu. What is prob of sequence fua?\nAnswer: 13\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*k = -40, -k = -5*s - 6*k - 100. Let n be (-4)\/s + 39\/(-12). Let w(d) = -46*d + 6. Let g be w(n). What is the highest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9 = -34. Let p(g) = -5*g - 2*g + l*g. Let y be p(-1). Solve 6*h = y*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 81 = -5*k, 39 = -2*l - 3*k - 4. Calculate the remainder when 63\/(-30)*l + 42\/70 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*x + 2*x + 28 = 0, -5*n + 5*x = 0. Let s be (50\/4)\/(2\/n). Let b = 81 + s. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -434.142892 - -11082\nAnswer: 10647.857108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(-1 + 1 - f)*(-f**2 + 2*f - 2*f + (3*f - f + 5*f)*(0*f - 5*f + 2*f)) to the form u*f**3 + g + v*f + q*f**2 and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g. Let h(w) = 15*w**2 - 47*w + 2. Give h(a(c)).\nAnswer: 135*c**2 - 141*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-10))\/((-927)\/824))\/(62\/(-10385))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30.8 in 5, -2, -1, -1.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p - 1. Let h(s) = s**2. Let d(q) = -6*q**2 - 2*q. Let c(o) = -d(o) - 5*h(o). Determine c(b) - 2*g(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 2*-2)\/(-1) + -2. Let w(l) = 0*l**3 + j*l**3 + l**3 + 10*l**2 - 3*l**2 + 4*l. Let x be w(-3). Calculate the greatest common factor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 greater than or equal to 2934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 176 = q, 149*q - 450 = 154*q + 10*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 182*q - 348. Let m(j) = 8*j**2. Give i(m(u)).\nAnswer: 1456*u**2 - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16835868*h + 50497287 wrt h?\nAnswer: 16835868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**3*y**2 - 19824*d**3*y + 2*d**2 - 40*d*y**3 - 50*y**2 wrt y?\nAnswer: -16*d**3 - 240*d*y - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jji. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 2700.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-20))\/(-2*11\/110*-1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r**(-1\/7)*r))\/r*r**(-1\/4)*r)\/(r**1)**10*((r**5)**(-21))**(4\/13) assuming r is positive.\nAnswer: r**(-15075\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271712 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-25) - ((-752)\/5 + 6). Calculate the highest common factor of l and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10.15. Let g = 4.85 - n. Which is the second smallest value? (a) 2\/7 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1437, 1, -93, 3, 4.\nAnswer: -1437, -93, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 53*q - 50*q + 6, -4*q - 8 = 3*y. Solve 3*r + 2*n - 17 = 0, y = -n + 17 - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.2 - 1.2. Suppose 9*u = -5*u - 30*u. What is the nearest to u in d, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -2*t**2 - 4\/3*t + 5\/3*t**3 - 1\/3*t**4 + 7. Solve i(l) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 312 + 161 + 191 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 3, 8 in descending order.\nAnswer: 8, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 + -140. Let d be 10\/k*3*1110. Suppose 5*z - 5*w + w = 528, 4*z - d = -4*w. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6024, 6018, 6012?\nAnswer: 6006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgpwsug. Give prob of picking 1 p and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.02 - -4. Let l = 23 + -19. Let f be ((-1)\/(-1))\/((l + -2)\/10). What is the second biggest value in j, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(((-1040)\/(-5027827))\/5). Let o = y - -48353. Let m = 122\/13 - o. Calculate the common denominator of -41\/18 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.047, -6758, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -12, -14, -16?\n\"Answer: -2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to 0.476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 13*k - 35. List the prime factors of s(18).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 17*l**2 - 6*l - 18. Let v be q(-15). Let h = -334 + v. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 6*w + 3. Let p(a) = 3*a**2 - 7*a + 4. Let q(f) = -3*p(f) + 4*x(f). Let h(z) = -5*z - 7985 + 2924 + 5061. Calculate q(h(i)).\nAnswer: -25*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -5 - (-3 + -1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13963529 is divided by 308.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -x - 1 - 1, -2*p + 2 = -3*x. What is the second derivative of -166*t**2 + 166*t**x - 43*t - 55*t**5 wrt t?\nAnswer: -1100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2448, 0.4, -8, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.4, -8, -2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724, -738, -750, -760, -768?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(2420)) + 4)**2 + 2.\nAnswer: -176*sqrt(5) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 446*i**2 + 105*i?\nAnswer: 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363090 and 1330?\nAnswer: 363090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/sqrt(9) - sqrt(2))*5.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -33.3. Let x = 0.06 + 6.44. Which is the third smallest value? (a) x (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 214*w + 2622. Calculate o(201).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 - 57757?\nAnswer: -57671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n + 2. Let v be r(1). Let f(k) = 7*k - 21. Is f(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8*h + 30. Let q(x) = x + 8*x + x**2 - 2*x + x + h. Let d(o) = -4*o**2 + o. Let f be d(-1). Calculate q(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*(5 + -23 - 3). Is v < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15087 divided by 1959\nAnswer: 5029\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 3. Let z be g(10). Suppose -2*o + 28 = 2*f - 6*o, 10 = 2*f + 5*o. Suppose -f*v + 26 - 66 = 0. Sort 0, -3, z, v in descending order.\nAnswer: z, 0, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5540)\/(-31024)*(-42)\/20\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/742 - (1 + 108\/14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 3*s**2 + s - 1. Let f be u(3). Suppose m = -4*j - 19, -f*j = 3*m + 3*j + 22. Solve 4 = -t + m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 4, p: 3}. Give prob of sequence ppf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 h when three letters picked without replacement from {u: 4, h: 3, g: 1, f: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 16 + 0*n - 17 - 17 + 2*n.\nAnswer: 2*n - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*g, -5*x - 20*g = -17*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 13*d**2 - 13*d - 7. Let w be a(-12). Suppose -i = -2*m - 4, i - w*m - 1 = 3. Factor 2\/11*h**i + 0 - 2\/11*h**2 + 0*h + 0*h**3.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -8, 5, 3 in descending order.\nAnswer: 5, 3, -1.6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**4\/24 + w**3\/2 - 2*w**2. Let v be n(-4). Let q be v - (9\/12 - 2). Do -1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 83804 + 72136. What is o rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 377 - (-65)\/26*(3 - 5). Solve -q = y - 374 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1034*x + 526*x - 36 + 515*x)*(-7*x - 6 + 6).\nAnswer: -49*x**2 + 252*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -127\/22 in -0.5, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34313201 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2864*q**2 + 3544*q**5 - 505*q**5 + 1544*q**5 - 573*q**2 wrt q.\nAnswer: 274980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/13))\/n)\/(n\/(n\/(n**(2\/11)\/n*n)))*n**12\/n**(-15) assuming n is positive.\nAnswer: n**(3857\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10010000 (base 2) to base 7\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413.962676s in weeks?\nAnswer: 0.00233790125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c240 - -a7b?\nAnswer: 4ccbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1792*s + 1750*s + 16926 = 0. Solve -s*t = -390*t - 52 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 2*v - 437. Let a be d(0). Let c = a - -554. Calculate the highest common divisor of 247 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18\/13 - -41\/39. Let p = 2037.5 + -2037. Which is the nearest to 0.1? (a) p (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 17. Suppose -44*y + 75 = -145. Calculate the smallest common multiple of y and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734068?\nAnswer: 2, 7, 17, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -263734.\nAnswer: 9\/263734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are 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 value of (28\/(-22))\/((-12)\/(-132))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185352 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 79\/27 + (-20)\/(-270). Let o(h) be the first derivative of 0*h - 5*h**q + 11 - 5\/2*h**2. Factor o(x).\nAnswer: -5*x*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h + 2*h)*(-3*h**2 + 9*h**2 - 7*h**2) - h - 277*h**2 - 5*h**3 + 277*h**2 as l + p*h + k*h**3 + m*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1152, -2290, -3428, -4566, -5704?\n\"Answer: -1138*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31201101120221 + -2?\nAnswer: -31201101120223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.2 (c) 5018 (d) 2 (e) -2\/33 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75165556 is divided by 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 2*i + 16. Calculate the lowest common multiple of 7 and d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a - 41d2?\nAnswer: -422c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 63498513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 - 2 + 2)*(-5 - 6 + 12) + 73 - 73 + 26*r**4.\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhahaaabbaabahhahb. Give prob of sequence babb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38, -35, -34, -35, -38, -43, -50?\n\"Answer: -c**2 + 6*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1593 and 4897.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572316931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 86, 95, 102, 107, 110, 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1111000111110 (base 2) to base 15\nAnswer: -2462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -164. Let z = g - -66. Find the common denominator of (-1 - 47\/(-54)) + 0\/z and 79\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/13 - 2664*i**4\/13 - 10710*i**3\/13 + 29404*i**2\/13 - 16032*i\/13 = 0.\nAnswer: -6, 0, 1, 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 15. Let s = -35 + 35. Suppose p - 8 = -s*p. What is the remainder when 52 is divided by v(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1454 - 0.3454. What is the smallest value in -1\/77, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115399 - -208010. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 6*d**2 + 6*d + 7. Let z be g(-5). Let o(f) = z - 4834*f - 1392*f - 11965*f + 3189*f. Let a be o(1). What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*b + 226. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 4*v**2 + 11*v**2)*(-v**2 + v**3 + v**2) + 471*v**5 - 9*v**5 + 37*v**5 + 0*v**4 + 0*v**4 + 2*v**5.\nAnswer: 512*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*o - 5 = 0, -s + 4*s + 4*o - 10 = 0. Suppose -s = -j - j. Suppose 2*d - 1 = -j. Let b(a) = -2*a. Determine b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 7*k + 4*r - 49 = 0, 0 = -5*r + 5. Let b = 51 + k. Solve -1 + b = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 54 - 36. What is the hundreds digit of -2 + 1 - (-7 + c) - -293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 8, 505, 5, -117, 2.\nAnswer: -117, 1, 2, 3, 5, 8, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -676.383 + 676. Let f = 0.44 + h. Round f to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -3*h**8\/280 - 2*h**4\/3 + 8*h**3\/3 + 13*h**2. Let i(g) be the first derivative of x(g). Differentiate i(s) with respect to s.\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 447, 988, 1745, 2718, 3907, 5312?\n\"Answer: 108*k**2 + k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.7 + 56. Which is the fourth biggest value? (a) t (b) 1\/6 (c) -0.2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160362 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 116.783+0.4192\nAnswer: 117.2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2 - 3. Let y(x) = 160*x**2 - 173 + 69 - 162*x**2. Determine h(y(d)).\nAnswer: -4*d**2 - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 3*v**2 - 4*v**2)*(-45*v + 4*v + 1 - 2*v).\nAnswer: -86*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(33\/(-154))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 44*k**3 + k - 1 - k.\nAnswer: -44*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.805377 weeks in nanoseconds?\nAnswer: 1696692009600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 43, 91, 167, 277, 427, 623?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3403, 5117, 5123, 3415, -13, -5167, -12053?\nAnswer: -20677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5.4 (b) 5 (c) 23 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-9))\/(2\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 825075 and -0.2.\nAnswer: -165015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*i - 1319*v + 1315*v, -6*i = -4*v + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.55 or 0.08?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 12 - 16 = o, -4*o - 2*v - 2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*r**3 - 11490*r + 5730*r + 5734*r as j*r**3 + i + x*r + q*r**2 and give j.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 180, 269, 356, 441, 524?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11193517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36762 is divided by 604.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**2 - 164*q - 35. Let w be y(-10). Let o(m) = -4*m - 2*m + 2*m - 2*m**2 - 1 + 3*m**2. Calculate o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 123. Let l = 10 + -3. Suppose x*o - 2*o - 21 = 4*s, -2*o + s = -l. Solve 4*y = o + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a week in minutes?\nAnswer: 92400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 26. Let j be (3\/(-2))\/(15\/(-6) - k). Let q be 4\/(-6)*(3 - j)\/(-2). Solve -7 - 19 = 4*l - 2*h, 0 = -3*l + q*h - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = -5*p + 31, -4*p + 50 = 3*i. Let g be (-4)\/i + (-152)\/(-36). Suppose -g = -5*r + 71. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) -6 (b) -909 (c) 5 (d) -0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 10. Let l be j(-3). What is the remainder when 7\/(28\/132) + l is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12 - 2*s + 0 + 3*s + 5. Let b be g(12). Is b > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*d + 108*d + 308 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*78\/20)\/((-336)\/(-5320)*-19).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00106701658 rounded to five dps?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*w - 14, h - w - 8 = 3*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55082 + 55660. Suppose -5*g + 357 - 67 = 0. What is the remainder when f is divided by g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:34 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98010 is divided by 2722?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 1. Let f be p(-1). What is the derivative of -j**4 - 4 + 5 + 2 - f wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-9 - (-22 + 11 - 0) - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 43595331 to the nearest ten thousand.\nAnswer: 43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11399214 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 83*s**6 - 23*s**2 - 4. Let b(p) = 84*p**6 - 22*p**2 - 3. Let k(f) = 4*b(f) - 3*y(f). Find the third derivative of k(m) wrt m.\nAnswer: 10440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 420.\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001551755765 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 16\/24. Let g(k) = 51*k**3 + k**2 - k. Is g(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16 + 4*j**2 + 13*j**3 + 709*j - 709*j. Let l(i) = 9*i**3 + 3*i**2 + 11. What is 7*l(r) - 5*n(r)?\nAnswer: -2*r**3 + r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89167919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/425, -0.3, -5.\nAnswer: -5, -2, -0.3, 2\/425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by -5.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268\/3 - -90. What is the second biggest value in -8, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/9))**(-2\/49)\/(l**(-16)*(l**(-2\/7)\/l)\/l*l) assuming l is positive.\nAnswer: l**(7633\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120*-2.\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(-1*7\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 7*u**2 + 11*u. Let r = 60 - 34. What is the remainder when b(6) is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6808 divided by -37?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.2 (b) 1539 (c) -4\/13 (d) -0.1 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102 (base 3) to base 4.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*v - 2097 - 2178, -4*a = 3*v - 3455. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-4524)\/(-504))*6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, n: 3}. What is prob of picking 1 n and 3 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20.79 in -4, 0, 4, -0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 20. Let h be l(-18). Suppose -3*k + 5*k - 20 = 0. Let p be 12\/k*5\/2. Solve -3*j + h*j = -p*i + 12, -2*j + 11 = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.09762295 rounded to three decimal places?\nAnswer: 19.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 269258119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (19\/19 + 10\/(-2)). Suppose 0 = -i*s + 4*y + 80, s + 4*y + 8 = 2*s. What is the highest common divisor of 888 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 0*w = -2*p + 32, 0 = 5*w + 5*p - 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 523119733 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12764739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/10 - w**4\/3 - w**3\/2 - 3*w**2\/2 - 2*w. Is t(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1438*p = -1380*p. Let q = -9 + -38. Is q at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401481 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6*d - 27 = 0, 367*v + 4*d - 11 = 366*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7484 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 2*c + 0*c + (-4*c + c + c)*(-2 - 3 + 4) - 4*c + 17*c + 9*c - 3*c - 2*c + 6*c + (-c + 0*c - c)*(1 - 3 + 3).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07513372 rounded to four decimal places?\nAnswer: 0.0751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4 + sqrt(112) + -4)**2 + -4)*6.\nAnswer: -384*sqrt(7) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 5. Let p be t(2). Let a be ((-26)\/8)\/(p - (-44)\/(-16)). Let y be 2\/(-3)*(a - -4). Solve -3*x + y = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.9999986. Round x to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(567) + sqrt(567) + 0 + sqrt(567) + sqrt(567) - sqrt(567) - ((sqrt(567) + sqrt(567)*-2)*1)**2) + 1*(3 + 1 + sqrt(175)).\nAnswer: -563 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1, 7 in decreasing order.\nAnswer: 7, 1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 4*b - 882. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734105.\nAnswer: 5, 41, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -28702586.5 to the nearest 100000.\nAnswer: -28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqzqmqo. Give prob of sequence qqqm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*k + 200081 + 1639195. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204051.\nAnswer: 3, 17, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 8. Let u be (0 + (-2)\/i)\/1. Let q be (-13)\/20 - 7\/(-28). Which is the nearest to q? (a) -5 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, a: 2, h: 5, e: 2}. What is prob of picking 1 a and 1 h?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 6, -o + 3*c = 3*o - 30542. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -4 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*n - 12, 0 = 5*r + 4*n - 36 + 11. Suppose f = 2*k + 4, 7*f - 2*f = 3*k + 13. Let d = r - k. What is the remainder when 2 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 652 - 652.0000582. What is o rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/11 - 162128*q**2\/11 - 3289573664*q\/11 - 157526214144\/11 = 0.\nAnswer: -40508, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 82, 153, 252, 379, 534, 717?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3))\/(h\/(h*h**(1\/6)\/h)))**(19\/2) assuming h is positive.\nAnswer: h**(361\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 6. Let p(s) = -1 - s + 4*s - g*s. Let j(l) = l**3 - 4*l**2 - 5*l + 4. Let x be j(5). Calculate p(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0699 and 0.06?\nAnswer: -0.004194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 253.1 and -2.778.\nAnswer: -703.1118","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 4*j + 3*j - 2*j + (-1 + 4 + 4)*(-3 + 3 + 10*j + (1 + 0 - 2)*(j + 0*j - 3*j))*(j**3 - 3*j**3 - 2*j**3).\nAnswer: -335*j**4 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + (3 - 3) + 4) - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6074 + 719 + 19308 = 307*d + 300*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 0 - (-62)\/22. What is the closest to -1 in x, -4\/7, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1955 in 0.2, 2\/15, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2000032 (base 4) to base 2\nAnswer: 10000000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 14*u + 6 + 5*u + 5*u. Determine t(-16).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 10 - (-5 + 12 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56678, -56674, -56670, -56666?\nAnswer: -56662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + q**2 - 4. Determine n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 + -cc0?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 56*a + 140 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 2\/9 (c) -194 (d) -2 (e) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7770?\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 3, 52\/1069, 0, 0.1, -1\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55447*o**3 - 27741*o**3 - 27741*o**3.\nAnswer: -35*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+1279634811\nAnswer: 1279634810.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 410, 771, 1084, 1343, 1542, 1675, 1736?\n\"Answer: -r**3 - 18*r**2 + 422*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58651281509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079353 rounded to 7 dps?\nAnswer: 0.0000794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10729, 21940, 33151, 44362?\nAnswer: 55573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g + 232. Let r(u) = 2*u + 10. Give -8*h(d) - r(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let k = -394.809 + 395. Let f = -0.101 + k. Which is the closest to -0.1? (a) f (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 429950165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 3. Let c be x(5). Suppose 5*t = c + 3. Calculate the remainder when (27 - (t + -2)) + -3 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqksqayyams. What is prob of sequence qass?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*u**2 + 317*b*u - 35*b - 44229*u**2 wrt b.\nAnswer: 2*u**2 + 317*u - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/2 + 17\/6. Let j(r) = r**3 + 2*r**2 - 4*r - 1. Let s be j(-3). Let g = -2\/3 - -4\/9. Sort g, a, s in increasing order.\nAnswer: g, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-2457))\/(6 + 384\/(-63)) + (-345)\/9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (0 - (14 - 0)) + 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*l - 10 - 14, 5*l + 15 = 0. Let h be (-2)\/i + 31000004\/10. Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.247, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 0.38, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 11. Let r be j(-6). Let g be r\/(-15) - (-2)\/(-4). Is g > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.5 + 5. Which is the second biggest value? (a) t (b) -4 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 16. Let g be h(-15). Let y = 17 + g. Solve -u = y*t, u - 3*t = -0*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192271745*d**3 - 77*d**2 - 650*d + 13 wrt d?\nAnswer: 1153630470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 2, u: 1, q: 1, o: 1, h: 2}. Give prob of picking 1 u, 1 o, and 2 l.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - 146667369698.\nAnswer: -146667369743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - ((-1 + sqrt(700) - sqrt(700) - sqrt(700)) + sqrt(700) + 3)) + 3 + -4 + (sqrt(700) - (sqrt(700) - 4*sqrt(700)))*4 + 2)**2.\nAnswer: -340*sqrt(7) + 202301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/(((z*z*(z**(-3)\/z*z)\/z)\/z)\/z))\/((z\/(z\/(z\/(z*(z*(z*(z*z\/((z\/((z*z\/(z**11\/z))\/z))\/z)*z)\/z)\/z)\/z)*z))*z)\/(z\/z**4*z)) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161981 a multiple of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 3064*k - 2448.\nAnswer: -(k - 612)*(5*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11608 divided by -2\nAnswer: 5804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/15)\/n))**(-15)\/((n**(6\/5)\/n)\/(n\/n**5)) assuming n is positive.\nAnswer: n**(-181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 335 = 46*s - 330. Solve 39*g - s = -269 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60555680 divided by -3922?\nAnswer: 15440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -217481299 - -0.3\nAnswer: -217481298.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219 is divided by 103.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -468 (base 14) to base 5.\nAnswer: -12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -57*c - 400. Let t be l(-7). Put t, 4, 1, -50, -2 in descending order.\nAnswer: 4, 1, t, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-21))\/z**(1\/7) assuming z is positive.\nAnswer: z**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2922770 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*i + 14 - 180, 2*q - 164 = -2*i. Suppose 0 = 5*f + 3*y - 30, 71 = -2*y + q. Solve 12 = 2*v + 4*d, -4*v + 16 = -f*v + 4*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 + 0.22. Let l = f - -0.47. Which is the biggest value? (a) -2\/9 (b) -3\/4 (c) l (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9878 - 13476 = -474*z + 12992 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 742, 1080, 2004, 3808, 6786?\n\"Answer: 49*w**3 - w**2 - 2*w + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35026, -34738, -34450?\nAnswer: -34162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -652033 - -652037. Let s be ((-2)\/4)\/(2\/(-8)). Solve -l*m + s*p - 3 = 17, p = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g + 8. Let f(o) = -o - 47*o - 4*o - 8*o - 52 - 43. What is -3*f(l) - 35*r(l)?\nAnswer: 5*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7935.773ug to tonnes.\nAnswer: 0.000000007935773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:17 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 3*q**2 - 6*q + 10. Let p be v(2). Which is the closest to 0? (a) 3\/4 (b) 0.01 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = 2*q, 2*k = -0*k - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 1, -2875, 1\/32, 4 in decreasing order.\nAnswer: 4, 1, 1\/32, -80, -2875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 57*u + 3 - 10*u.\nAnswer: -67*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 337644175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20960 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -4*s**6\/3 - 16*s**5\/5 + 149*s**3\/3 - s**2 - 143. What is the third derivative of f(b) wrt b?\nAnswer: -480*b**2 - 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 0 (c) -1 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-9)\/(396\/8)) + 0. Suppose -7*x = -r*x - 4*p + 90468, -20 = -5*p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z**2 - z. Let l(d) = 168*d**2 - 392*d**2 - 2*d + 211*d**2. Give 7*h(p) - 5*l(p).\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:08 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.31 - -3.51. Sort -9, v, -1\/5, 4 in decreasing order.\nAnswer: 4, v, -1\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 49*g**2 + 5. Let a(b) = -3*b**2. What is c(a(t))?\nAnswer: 441*t**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 45*k**2 + 5*k - 5. Let b(c) = 22*c**2 + 3*c - 3. Determine 5*b(n) - 3*d(n).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u - 3. Let s(l) = -l - 1. What is -h(n) + 2*s(n)?\nAnswer: 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-4)\/(-6))*(37 - 156*8\/52)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, b: 1, q: 7, n: 1}. Give prob of picking 1 n, 1 b, and 1 q.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-8))\/(25\/(-200)). Suppose r*n = 3*n. Differentiate 14*q**2 + 0*q - 49*q**2 + 3 + n*q wrt q.\nAnswer: -70*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.844 minus 15972?\nAnswer: -15962.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3\/49 (b) 4\/1283 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + -3 - sqrt(77)\/(sqrt(11)*3).\nAnswer: -5 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9691 = 3*j - 16910. Suppose -47 + j = 7*a. Let x be 2\/(-7) + a\/(-49). Which is smaller: x or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2252*k + 82*k**2 - 2252*k)*(k**2 - k**2 - 2*k**2 + 0*k**2 - k**2 + 0*k**2 - 6*k**2 + 2*k**2 + 3*k**2 + (5*k - 11 + 11)*(-1 + 1 + k)).\nAnswer: 82*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(304) + sqrt(304)*2)**2 + (-1*sqrt(475) - (2 + sqrt(19) + 5)**2).\nAnswer: -19*sqrt(19) + 2671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 2*x**2 - 5*x - 2267. Let u(h) = h**2 + 7*h + 5. Let v be u(-7). What is j(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -7. Let y be (13\/26)\/((-1)\/q). Let j(a) = -3*a**3 + 3*a**y - a**3 + 5 - 3*a**2 - 6*a + 13*a. Give j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/32)\/((8190\/120)\/(-91)). Let w = 82\/145 - -1\/29. Which is the second smallest value? (a) h (b) 0.4 (c) w (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + 2*h**2)*(351*h + 561*h + 362*h - 2).\nAnswer: 2548*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:44 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjljdoljjjdjouuj. What is prob of picking 2 d, 1 j, and 1 o?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v + 4 = 0. Let a = v - -9. Suppose -27 - 158 = -a*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 0.06, -1\/3, 1063, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -9, 29, 5, 739 in decreasing order.\nAnswer: 739, 29, 5, 2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i**2. Let f(d) = -2*d**3 - 7*d**2 - 6*d - 6. Let k(l) = -f(l) - w(l). Suppose -c - 15 = 2*c + 5*r, 4*c = -5*r - 20. Calculate k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7474209 is divided by 585?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -2 (c) -0.3 (d) -64 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 279*n**2 + 85374*n - 3. Give p(-306).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -21. Let r = w + 0. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/7*14\/(-4). Suppose 125 + 178 = 4*z + 5*h, -i*z = -h - 309. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1241 and 196516?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/12 + 132\/176.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/9)\/((p\/p**4)\/p))**(8\/3))**(-1\/19) assuming p is positive.\nAnswer: p**(-320\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(102\/(-255)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 4 - 3*n**3 - 5 + 26 to x + g*n + u*n**3 + p*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 15) in base 16?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 1.1, -0.02, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -5, 1.1, 1321 in increasing order.\nAnswer: -5, -2\/17, 1.1, 1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 3*n**3 - 2*n**3)*(-2*n + 2*n**2 + 2*n) - 3*n**5 + 0 + 0 + (-5*n - n**3 + 5*n)*(0 + 0 - 2*n**2).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 2*i - 2. Let h(f) = 5*f**2 - 3*f + 5. Determine 2*h(n) + 5*p(n).\nAnswer: -5*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(7*8\/1708).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**8\/17920 - n**7\/2240 + n**5\/80 - n**4\/24 - 2*n**2. Let k(i) be the second derivative of c(i). Suppose k(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137, -896, -631, -342, -29, 308, 669?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 3*s**3 + 3*s**3 + (-4*s - s + 3*s)*(2*s + s**2 - 2*s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 11*m + 18. Let z be a(9). Suppose 4*p - 4 = -z*p. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 228\/(-54))\/((-8)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*d = -1633, 0 = -4*n + 5*d + 386 + 1789. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -0.4. Let j = -9.1 + -0.3. Let a = j - -9.5. Sort 1, s, a.\nAnswer: s, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -28*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0 + (2 + 3 - 6)*(-u - 2*u + 2*u) + (-u - u + u)*(1 - 2 - 3)*(4 - 3 - 3))*(0 + 0 + 3*u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -134 + 38?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhm when three letters picked without replacement from rzhhyzzmhhm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 3*q + 260*q**4 - 1 - 5*q + 2 - 261*q**4 to the form w*q**3 + f*q**4 + c + u*q**2 + l*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 + 2025. Let t(w) = p - 4*w**2 + 0*w**3 - 4*w - 1842 + w**3. Calculate t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 6*v**2 + 8. Let g = 655 + -661. Let q(m) = -4*m**3 + 5*m**2 + 7. Give g*q(t) + 5*a(t).\nAnswer: 4*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 645, -183, -7 in decreasing order.\nAnswer: 645, -7, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = 8. Solve -15 = -t - 4*c - c, -t = -o*c + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 3786?\nAnswer: 140082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -23*i + 12. Let n be b(-3). What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 8*p**2 - 9*p + 9. Let z be i(8). Is 1\/((12\/z)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-130)\/(-6) - (-1)\/(12\/(-8)). What are the prime factors of (56\/n)\/(8\/396)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = 2*p - 146, 3*s + 283 = 4*p. Suppose f = -4*f + 5*w - p, 3*f = -3*w - 36. What is the units digit of (-180)\/(-13) + (-2)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9980, -9966, -9936, -9884, -9804, -9690?\n\"Answer: d**3 + 2*d**2 + d - 9984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114545 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4140*m**5*v + 2*m**3*v**2 + 2*m*v**2 - 2*m*v + 625*m - 2*v**2 wrt m.\nAnswer: 82800*m**3*v + 12*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*j**3 + 3*j**4 + 1 + 72*j**3 - 40*j**3 + (-2*j - j + 2*j)*(j**2 - 3*j**3 - j**2).\nAnswer: 6*j**4 + 83*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3017*c**3 - 3857*c**3 + 6096*c**3 + (2*c + 2*c - 2*c)*(-c**2 - c + c))*(-3*c + 7*c - 2*c) to b*c + i + j*c**2 + m*c**3 + k*c**4 and give k.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9751 = 547*i + 3248 - 6078 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33408000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l*l**(17\/4)*l))\/l*l**(-27)*l assuming l is positive.\nAnswer: l**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 5*x + 10. Let a be (2 - 1)*x + 6. Suppose -25*j = -21*j - 12. Put j, -4, a, 5 in descending order.\nAnswer: 5, a, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14210747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1810532656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 189\/284?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-40 - -12) - 19\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 23*x**2 + 48*x + 37. What is j(25)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/(-231))\/(17\/357). Let c = -0.4 + 0.2. What is the nearest to c in 1, -3, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*r**2 - 108*r**2 + 200*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12792\/(-95) - 4\/10. Let d = 126343\/950 + c. What is the common denominator of 59\/6 and d?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 11}. What is prob of sequence tt?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(2*11\/8 + -3). Put d, 1\/3, -0.02, -0.4 in descending order.\nAnswer: 1\/3, -0.02, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 5, -1 in increasing order.\nAnswer: -7, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19329, -77959, -175893, -313131?\nAnswer: -489673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 132, 23 in descending order.\nAnswer: 133, 132, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 e when three letters picked without replacement from {p: 1, d: 3, j: 1, o: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4807179 times -50\nAnswer: 240358950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1134448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 119 - 48 - 8 - 5 - 3*j + j. What is q(0)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 6*u + 3. Let n be z(6). Suppose 5*c - 7 = n. Solve -3*h = -6, 4*h - 6 = -k + c*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**3 + 1\/280*u**7 - 15*u**2 + 0 - 1\/80*u**6 + 1\/80*u**5 + 0*u**4 + 0*u. Let t(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202825.\nAnswer: 5, 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12209?\nAnswer: 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 180729233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.055 + -0.155. Which is the closest to 1\/3? (a) 6 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2435776, 4871556, 7307336?\n\"Answer: 2435780*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 + -129. Suppose d = a - 2. Let i(v) = -3855 + 3855 + a*v. Let x(z) = -z. Determine x(i(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 5*i + 4 + 2 - 1. Let f be o(-6). Let r(m) = m + 6. Let l be r(-5). Calculate the greatest common divisor of f and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-5)*2746\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 240 = 2*n, 187*n - 184*n + 478 = 2*p. Does 118 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - -4*sqrt(500)*-1.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Let h(q) = 6*q - 21. Let p be (-3)\/2*-4 - 11. Let o(t) = p*z(t) + h(t). Find the first derivative of o(j) wrt j.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 6 - (-1 - 1). Solve -3*m + 9 = 0, m - 7 = -b - p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.413457622.\nAnswer: 0.0826915244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1145426.4 - -2.3.\nAnswer: -1145424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -t + 377208*x - 377210*x, 42 = -3*t - 3*x for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 175 + (-5)\/(-25)*-25. Solve -r + 146 = 4*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8497*g + 20*g**3 + 8497*g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15667118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/456536113 + 1506355057463193\/86741861470. Let f = r + -17366. What is the common denominator of f and -107\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-2))\/c)\/c*c)**17 assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let j = 1 - o. Let c be 1\/2 + (-42)\/28. What is the closest to j in 2\/13, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 13*a - 9. Let m be k(14). Suppose -m*t + t + 336 = 0. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35974*l - 1071*l**3 - 35974*l + 2 in the form k + r*l + t*l**3 + f*l**2 and give t.\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9589940 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2506 + 8811. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86227\/18 + -4784. What is the common denominator of 447\/30 + (-152)\/38 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 31*s - 2. Calculate l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 63*x - 548. Let r be p(-13). Suppose 0 = 5*n - 370 - 140. Calculate the greatest common divisor of n and r.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*v - 66 = -239*v. Suppose -5*g = -8*g - a + 27, 4*g - 20 = 4*a. Solve 0 = -v*o - g + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from mxy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 20 + 8)*(-42*d - 65*d - 14*d + (-3 + 1 + 3)*(2*d - 5 + 5)).\nAnswer: -4641*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*b = -89*b - 139*b - 869 + 5861 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-14 - -25) - 11) + -4 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (20 - 1 - (31 - 26))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16920 or -16856?\nAnswer: -16920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590.661 litres in millilitres?\nAnswer: 5590661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2579*i - 117618. What is g(46)?\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**6\/6 + 7*d**3\/3 - 2. Find the third derivative of c(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-28))\/(872\/28994). Is 0 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.88495908 to 2 dps.\nAnswer: -5.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 l when three letters picked without replacement from {x: 5, l: 6, q: 1, s: 1, y: 1}.\nAnswer: 75\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/9*(18\/15)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4a2a80 (base 13) to base 6\nAnswer: -102030414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*r = 55 + 19, -3*o = -5*r - 122. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 + 4013*t**2 + 551033 wrt t.\nAnswer: 6*t**2 + 8026*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -7)\/(-2 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -164 + 0?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 35 - 35)*(-38 + 421*o - 12 + 50) to p*o + r*o**2 + c and give r.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 13*u**2 + 8*u - 50. Let f be x(-12). Let t be (6\/18 - f\/(-6))\/(-1). Solve t = -z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 148*n**2 - 1070*n - 6990. Give j(140).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 38*j - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2327 + -2323. Let s(c) = -2*c**2 + 6*c + 3. Calculate s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*105\/(19530\/4588).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 271*y**2 - 89*y + 87. Determine f(1).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3875, 5, 4, -4.\nAnswer: -3875, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -131102\nAnswer: -131085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 3*x**3 - 2*x**3 + (-2*x**2 - x**2 + 2*x**2)*(-3*x + 5*x + 3*x) to j + k*x**3 + u*x**2 + w*x and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4) - (-15)\/(-6). Solve -3*i + 3*d - 9 = 0, n*i + d = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28696 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 1 = 0, -2*c - 6 = -1926*j + 1922*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420116377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q**4 + 6*q**3 + 6*q**2 - 6*q - 24. Let s(t) = t**3 + t**2 - t - 1. Let n(i) = d(i) - 6*s(i). What is the first derivative of n(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9927*a - 7228. Let c(b) = -4970*b + 3615. Let k(m) = 9*c(m) + 4*n(m). Differentiate k(u) wrt u.\nAnswer: -5022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13050 and 115095780?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -88563067 divided by -380099\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001054 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:01 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 17*p + 29. Let i be f(19). Let w be 9\/(-6)*150\/i. What is the greatest common factor of 35 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*v + 2*s - 100 - 104 = 0, -3*v - 3*s - 12 = -6*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddjdzd. What is prob of sequence dz?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*o + 2669216 = -136*o + 618413. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.75, -1.6, -1289\/7 in increasing order.\nAnswer: -1289\/7, -1.6, -0.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {z: 1, f: 1, p: 2, x: 1, e: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -145, -401, -769, -1255, -1865, -2605?\nAnswer: -3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*j - 217 wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2595 - 4*u**4 + 6*u**4 + 53*u - u**3 + 2601 in the form a*u**4 + g*u + f + o*u**2 + c*u**3 and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2244 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6270 - 6270 + 357*q**5 - 4*q**5 + 5*q**5 + q**5 + (4*q**3 + 1 - 1)*(2*q**2 - q**2 + 0*q**2).\nAnswer: 363*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 at most as big as -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82600 rounded to the nearest 1000?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3191906 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9543 = 17*g - 9305 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29095 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1599553\/192 - -8331. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u + 21 - 69. Let t be (-44)\/u*54\/(-36). Solve d + t = h - 3*d, -2*d - 5 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 2, y: 1, l: 4}. What is prob of picking 3 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26.5. Let r = -34 - -35. Which is the biggest value? (a) -1 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**2 + 18*n + 38. Let u(m) = -9*m**2 + 17*m + 37. Let r(v) = 6*u(v) - 5*z(v). Let o(i) be the first derivative of r(i). What is o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20313 (base 4) in base 9?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16031334 + 16031334 + 165*y**2.\nAnswer: 165*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4*r - 2 + 4 - 9.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/2016 and 55\/1512?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfc. What is prob of picking 1 f and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 3, 4, 1.5, -2\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i. Suppose -3*n = 5*t - 2*t, -2*n = -5*t - 7. Let v be 3*(t - 0)*-1. Determine f(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/3*v**3 - 1\/6*v**4 - 50\/3 - 23\/2*v**2 - 70\/3*v.\nAnswer: -(v + 2)**2*(v + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 875.7883l?\nAnswer: 875788.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -38.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -9, -2, 7, 18, 31, 46?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -473?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 53 = 3*r, 93 = 4*w - 5*r. Suppose -4*f - 292 = 156. Let x be 121\/7 + 32\/f. What is the greatest common divisor of x and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 203*k - 49. Give h(65).\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4443645 + 4?\nAnswer: -4443641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8366929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 15638 - 15638.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*a + 177753 = -247888 - 152377. Do a and 7047 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-12)*(-8 + (-304)\/(-40)). Suppose c - 16 = -3*c + 4*u, u = -c + 4. Let h be (1\/2)\/((-3)\/3). Sort h, c, k in ascending order.\nAnswer: h, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/27427 or -1?\nAnswer: 9\/27427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33274 + 34230. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-6) + (-2)\/6. Suppose 9 = -l + 2*t, -2*l - 4*t + 12 = -2*t. Let z be (-2 + -4)*2\/3. Put a, z, l in descending order.\nAnswer: l, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 1, p: 5, w: 4, g: 1, v: 4}. What is prob of picking 1 p, 1 z, and 1 v?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1240136.1 months?\nAnswer: 103344.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 184 - 39126. List the prime factors of r.\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -24456?\nAnswer: 24458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554564 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 21*o - 19*o - 1.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -2*x**7\/105 + 4*x**5\/25 + 2*x**4\/15 - 2*x**3\/5 - 4*x**2\/5 + 14*x. Solve v(f) = 0 for f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:35 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l. Let v be w(-1). Suppose -5*k + v = -3. Let r be (-7)\/(-2) + 51\/34. Let m(u) = -u**2 - 5. Let q(y) = 1. What is k*m(i) + r*q(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x\/(x*x**(3\/26)*x)*x)\/x*x**45\/x*x**(-5\/4)*x*x**(-26)\/x assuming x is positive.\nAnswer: x**(917\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5 = 5*q, -3*q = -33*s + 45*s + 57 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -0.5 (c) -6 (d) 0.16 (e) 7 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1356600 and 446880.\nAnswer: 37984800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*u - 151 = -6*u, 0 = s - 3*u + 61. Let v = s - -53. Solve -4*o - v = 0, 2*j + o + 2 = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 10*m**2 + m + 6. Let c be x(-10). Let d be ((-2)\/c)\/((-2)\/(-12)). Suppose -14 = -d*w + 1. Solve -5*n = -4*n - 5*u - 11, 3*n = -w*u - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3411519 is divided by 87459?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let j(n) = -n**2 + 2*n - 12. Let l(o) = 2*o - 4. Let c be l(5). Let m(a) = c*t(a) + j(a). Let u be 1*6\/(-1) + (3 - -10). Determine m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32 = 4*k, 0 = -5*s - 4*k + 11 + 24. Suppose 32*o - 30*o - 2*h = 1200, -s*h - 592 = -o. What are the prime factors of o?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/45 - 53\/180. Let n = -14 + 12. Let j = n + 1.6. Which is the closest to 0.1? (a) j (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*u**5 - 180637*u**4 + u**3 + 276*u + 27399 wrt u?\nAnswer: 700*u**3 - 2167644*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18413 (base 9) to base 7\nAnswer: -52053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40010459?\nAnswer: 29, 487, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*m**4 - 4*m**3 + 63*m**2?\nAnswer: -360*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 76, 148, 220?\n\"Answer: 72*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-2)*(-268)\/469?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1973.0679456 rounded to 2 dps?\nAnswer: -1973.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9953 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263450 = -309*m + 259*m. List the prime factors of m.\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -50) + -30 - (35 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.3, -464, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -233001 (base 8) to base 16\nAnswer: -13601","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g - 33. Calculate i(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1047393\/25 or -41896?\nAnswer: -1047393\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153283476.\nAnswer: 2, 353, 409, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(2688)*-2)\/(sqrt(294) - 2*(-1*sqrt(294) - sqrt(294)) - 4*1*sqrt(294)).\nAnswer: -160*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/9)*(q*q**(-2)*q)\/q*q*q*q**(-4\/7)*q\/((q*q**(-2\/3)*q)\/q) assuming q is positive.\nAnswer: q**(55\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(12)\/(sqrt(6)*-2))*3.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123455083, -123455082, -123455081, -123455080?\nAnswer: -123455079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 158275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633466143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-5)*z)\/z)\/(((z**(5\/3)*z)\/z*z*z)\/z))\/((z\/(z*z**(1\/4)))\/z)**(-27\/7))**8 assuming z is positive.\nAnswer: z**(-2098\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = 4*p - 20, 0 = -4*f + 2*p. Let c(d) = -2 + f*d - 2 - 6*d + 0. Let v be c(-1). Which is greater: v or 2\/171?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443369 not equal to 443270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 + -213. Is -6*y\/3 + (449 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1)*c*c\/(((c*c*c*c\/(c*c*c**(-5\/4)))\/c)\/c))**(2\/43)*(c**(-1))**(-8\/7)\/(c*c*c**0)**(9\/5) assuming c is positive.\nAnswer: c**(-7291\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304204624.\nAnswer: 2, 23, 127, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a + 28*a = -113555. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49494 + -49495.00035. Let t = 0.9 + 0.1. Let f = t + l. Round f to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 28 - 12 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4*d + 2, 2*w - 3*d + 4 = -d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273130 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91, 342, 759, 1342, 2091, 3006?\n\"Answer: 83*v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24908026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r. Let l(f) = -13*f**2 + 20*f**2 + 5 + 19*f**2 - 5. What is l(p(a))?\nAnswer: 416*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8526 minus 13.1?\nAnswer: -7.2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-153) + 190736\/4716?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419 - 227. Let z = 985 - 973. What is the greatest common divisor of s and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 750*c**2*o**3*s + 2*c*o**3*s**2 + 2*o**3*s**2 - 187*o**3*s - 2*o**2*s**2 wrt c?\nAnswer: 1500*c*o**3*s + 2*o**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 1\/2 (c) -4\/5 (d) -5 (e) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14700951?\nAnswer: 3, 37, 131, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 122 = -13*k. Let h = k + -59. Let t(l) = -h + l + 2 + 471*l**2 - 476*l**2. Determine t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/175, -3, 2 in descending order.\nAnswer: 2, 2\/175, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/238 and -25\/4.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -105*y**3 - 9*y**2 + 10*y - 2. Determine h(1).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -102.12213.\nAnswer: -102.19213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*y**2 - 7 + 127*y**2 - 63*y**2 wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 81. Calculate w(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 28 = 4*z, 1164*z + 5*h + 17 = 1168*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 6*z**4\/7 - 10*z**3\/3 - 51*z**2\/7 - 8*z\/7 + 911. Let f(i) = 0. What is i?\nAnswer: -1, -1\/12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 9) to base 12.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668610 and 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -3, -582, 5 in ascending order.\nAnswer: -582, -3, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 106*y + 476. Let b be z(48). What is b rounded to the nearest 10?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqxlqqqxllxxlqqllll. Give prob of sequence ll.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 622025939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011112122 - 1?\nAnswer: 1011112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 64521334316.394?\nAnswer: 64521334316.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/37 - ((-317422)\/(-518))\/(-41).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21444 - 1024?\nAnswer: -23023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i + 11 - 11)*(5*i**2 + 8*i - 8*i) + (-5*i**3 - i**3 + 4*i**3)*(3 + 0 - 1) as v*i**3 + a + x*i**2 + q*i and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 = 5. Suppose -q = -m - 0. What is the third derivative of -4*s**3 + 3*s**3 - 2*s**3 - s**m + 0*s**2 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x + 438 - 108 = 0. Solve 23 = -4*y - 5*k, x*k - 7 = -22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55569 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + -14. Let s = -57 - t. Let f be s\/2*(4 + -2). Solve -4*i + f = 5*q, -2*i = 5*q - 0*q - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531384 is divided by 176573.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317250 or 317235?\nAnswer: 317235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:50 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126.9 - 96.16. What is i rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, 0.4, 0.11, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83 and -734.\nAnswer: 60922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -18. What is the common denominator of 6\/(-8) - (28\/48 - w) and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -18, -0.4, 0.07, -5 in increasing order.\nAnswer: -18, -5, -0.4, -0.2, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 4 + -1 + -4. Calculate the greatest common factor of 4 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 4730*y**2 + 14235*y.\nAnswer: -5*y*(y - 949)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 - 5. Let o(c) = -5*c**3 + 4. Let q(i) = -i**3 - 10*i**2 - i - 14. Let p be q(-10). Let j(l) = p*d(l) - 3*o(l). What is j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 6 = -22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**7\/168 + 5*i**6\/72 - i**5\/8 - 15*i**4\/8 + 11*i**3\/6 + 29*i**2. Let z(c) be the first derivative of j(c). Factor z(q).\nAnswer: -5*(q - 3)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261.71 + -14.6.\nAnswer: 247.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21022001210 (base 3) to base 5\nAnswer: -14044121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/7 - 46*u**4\/7 - 71*u**3 - 224*u**2.\nAnswer: -u**2*(u + 7)**2*(u + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 9*p - 1. Let d(n) = 2*n. Let y be d(-5). Let l be a(y). List the prime factors of -2 - (l - (0 - -1)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(10\/9)*h)\/h)**(1\/14)*(h\/h**(2\/39)*h)\/h**(-1\/6))**(2\/161) assuming h is positive.\nAnswer: h**(547\/18837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873078584 divided by 7.\nAnswer: -124725512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 59. Let h be 10 + d + (0 - -1). Let l be 0 + h + -5 - (6 - 7). Put -0.01, 4, 0, l in decreasing order.\nAnswer: 4, 0, -0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233513504 divided by -826\nAnswer: 282704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p + 3. Let h(b) = 382*b**2 - 9. Determine 3*f(d) + h(d).\nAnswer: 385*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 times -2.16?\nAnswer: -5.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.5 (c) -0.5 (d) -4.77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 5094882?\nAnswer: -5094873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 53, 82, 115, 152, 193, 238?\n\"Answer: 2*l**2 + 19*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/80 + t**3\/24 - t. Solve a(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.206 + 0.764. Let u = 0.03 + g. Let a = 228 - 228.5. What is the biggest value in a, 5\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 2653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-8))\/((-3)\/18). Suppose 6 = -3*c + d. What is the greatest common factor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c, 5*g - 3*c + 10 = -0*c. Suppose -135 = 6*p - p. What is the lowest common multiple of (-18)\/p - (-1)\/3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*h - 7658 = 598*h + 484*h + 129*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 21 = 4*b, 3*p - 2*b - b = 21. Let l = -4 + 7. Suppose -l*i + 21 = -h, 0 = -i + h + 2*h + p. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -0.1 (c) -2\/1777 (d) 0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*0.0354665.\nAnswer: 0.425598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/20)*d**13)\/(((d**(-1)\/d)\/d)\/(d*d\/(d\/(d*d*d*d\/(d\/(d**(-1\/12)*d)))))) assuming d is positive.\nAnswer: d**(629\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 17062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72645 divided by 251?\nAnswer: 72645\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 12632*m - 12636.\nAnswer: 4*(m - 1)*(m + 3159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/12 - (-27)\/(-36). Let i be -3 + (-6)\/t + (-3 - -6). Solve -i*d - 4*f - 1 = 3, 0 = 2*f - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-174)\/(-15) - 2\/(-5). Suppose 0 = -x - 4*i - i + n, 14 = 5*x + 2*i. Suppose x*m - 4 - 52 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 4*z + 4. Let r(g) = -22 + g - 2*g**2 + g**2 + 21. Determine q(i) + 4*r(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 21. Let g = i - -19. Suppose 4*h - 448 = -g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 - x**2 + 2*x - 4. Let t be c(-2). Is 12 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2 - 3*c - 16 + 2*c. Let h be u(-8). Let b be ((-1)\/(h\/6))\/(-1). Is -1 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 267 and 29.4.\nAnswer: 7849.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w + 63. Calculate j(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*f = 398*f + 119367. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 68*h + 4 = 67*h, -2*r + 2*h = 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1512 by -378.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -2 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + o + 36 = -2*o, -2*q + 3*o = -25. Let d(m) = 8*m**3 - 3*m**2 + 2. Calculate the remainder when d(2) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*(-64)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86.81 + -88. Let f = -15.7 - -16.9. Let g = f + k. What is g rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 3110*p - 2418025.\nAnswer: -(p + 1555)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20011 or -20009?\nAnswer: -20011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -768518901 + 1104401626. Let t = -335882723.29999969 + y. Let l = t + -1.7. What is l rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g - 14. Let m be s(3). Suppose -r + 3*d = -17, -3*d - m = 3*r - 7. What is the second derivative of -11*x - 5*x**2 - x**2 + 3*x**r wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 213*k**2 + 1841*k - 16. Calculate v(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let h be -8*13*21\/(-2184). Let v(m) = m**3 + m**2 - m - 1. Let g(t) = -t**3 + 2*t**2 - t. Give h*v(a) + w*g(a).\nAnswer: 2*a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 163858.583.\nAnswer: 163864.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-3)\/6*-6. Let f be (2 + 3)\/(0 + d). Solve f*m - 8 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 82397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (5379\/(-44))\/(1\/((-24)\/9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.119488 times -78\nAnswer: -9.320064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 40115.07 centuries?\nAnswer: 4011.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 109 - 417 = 0. Which is smaller: h or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 - -2.4. What is the closest to 2\/31 in y, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336286326 to the nearest integer?\nAnswer: 18338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 4*v - 26. Give j(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -68*m - 1230. Determine q(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 + 9*y**2 + y - 1. Let s(q) = q**3 + 4*q**2. Let b(d) = -2*h(d) + 5*s(d). Let l(k) = -2*k**3 + 5*k**2 - 5*k + 4. Calculate 5*b(v) - 2*l(v).\nAnswer: -v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1 (b) 0.1 (c) -18 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:21 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42591?\nAnswer: 3, 14197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + (-74 - -24) - -46.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-1.07.\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2078256\/13 equal to -159865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/2 - 14*z**3\/3 - 9*z**2\/2 + z - 76. Is 32 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 430*q**3 + 1505*q**2 wrt q?\nAnswer: 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-1 + 0 + 2)*(-3*q + 3*q - 2*q) - 87*q + 184*q - 94*q in the form x + l*q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-42) + 90\/(-108)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107732 bigger than 107732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010574 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:43 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11055 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*c**3*l**3 + 68*c**3*l**2 - 2*c**2*l + 3*c*l**2 wrt l?\nAnswer: -690*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562075472 to the power of 1\/2, to the nearest integer?\nAnswer: 39523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -79. Suppose 8*a - x*a + 18 = 0. Sort 1\/10, a, -1 in ascending order.\nAnswer: a, -1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d**2 - 3*d + 1. Let m(g) = 3*g**3 + 11*g**2 - 8*g + 3. Let j be 23 + (7 + -3 - 1). Suppose 5*l + j = -29. Give l*x(s) + 4*m(s).\nAnswer: s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 20*v**2 - 23*v - 28. Let w be n(-19). Let g be w\/14 + ((-120)\/35 - -3). Solve g = 2*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2547.65432 to the nearest 10.\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.6 + -20. Let y = a + 2.4. Let b = -0.308 - -0.008. Sort b, y, 1\/2 in decreasing order.\nAnswer: y, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 - 126. Calculate the greatest common divisor of 517 and i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i. Suppose x - 2*x = 3. Let d(q) = -9*q + 266. Let s be d(30). Let j(p) = 4*p - 1. Let f(o) = s*j(o) + x*g(o). What is f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1 + 0*l + l - 4. Suppose 2*a - 14 = x, 15 = -a - 2*x - 3*x. Let v be y(a). Solve -2*o = -5*i - 19, -i - 4 = -v*o + i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8125357*k + 1003221131 wrt k?\nAnswer: 8125357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -17\/6, 22, -2\/40629?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 722713\/9 or 80300?\nAnswer: 80300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 i when four letters picked without replacement from {k: 10, i: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 23371?\nAnswer: 93484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4)\/(-27) + (-11 - (-50500)\/4950)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749343.\nAnswer: 2749343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/10)\/o)**(-39)\/((o*(o\/(o\/(o*o**8)*o))\/o)\/o*o*o*o\/(o\/(o\/((o*(o**(-11)*o)\/o*o)\/o)))) assuming o is positive.\nAnswer: o**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(104)\/(sqrt(16)\/sqrt(2))) + sqrt(1300)*-2)**2 + (-1*sqrt(78)*1)\/sqrt(6).\nAnswer: -sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -25) + 10 + 1 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/114 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*10*(-3 - -2). Let u(y) = -y**3 + 4*y**2 + 10*y - 5. Let o be u(a). Suppose -224 = 6*t - o*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {m: 7, c: 1, s: 4, e: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*s - 34750 + 14710 = 28299 for s.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 8*k - 8. Let s = 32 - 23. Let t be x(s). Sort -2, t, 0 in decreasing order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**4 + 5*z**3 + 10*z**2 - 309*z - 631. Let k(r) = r**3 + 2*r**2 - 2*r - 5. Let a(o) = -5*k(o) + n(o). Find the first derivative of a(c) wrt c.\nAnswer: -12*c**3 - 299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 3*j - 5. Let t(a) = 5*a**2 + 2*a - 6. Calculate -3*h(x) + 2*t(x).\nAnswer: -2*x**2 - 5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 361 = 13*n. Solve r - 2*r = -5*q - 30, n = -3*q + 2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 114 = 2*a, x - 2*a + 2 = 18. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311, -1, 11001 in increasing order.\nAnswer: -1, 311, 11001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 11}. Give prob of sequence mmv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 265620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(3) - (sqrt(108) + sqrt(3))*3) + 1*(sqrt(363) - (sqrt(363) + (sqrt(363) + 2 + sqrt(363) - sqrt(363)) + 1)))**2.\nAnswer: 252*sqrt(3) + 5301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*y - 24, 9*y - 4*y + 5 = 0. Let f be 6\/t - (-1105)\/(-153). Is 13 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14751960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1720 >= -1715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4 - (-3)\/4*(-42)\/63?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188487121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - 112111?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*o - i, -5 = 5*o - 3*i - 33. Put 4, o, 1, 0 in increasing order.\nAnswer: 0, 1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*w - 7*n + 1795 = -53*w - 9*n, w = -5*n + 2*n - 0*n + 5 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235996?\nAnswer: 2, 308999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175206636.\nAnswer: 2, 3, 11, 59, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20064 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 4*o**2)*(-14 + 5 - 10).\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 - 7*k - 4. Let b be y(-6). Suppose r + 5*v = -2*r + 109, -5*r + b*v = -130. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -85*5\/((-25)\/4). Suppose 0 = -3*m + 133 + t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 839 - 529. Let u(w) = -w**2 - 7*w + 168. What is the remainder when b is divided by u(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + 0 - (-126 + 74 - -132) - 11.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.7218 decades?\nAnswer: 0.087218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2212788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 9522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -539 - -539.4. What is the closest to -1\/38 in -5, d, -3, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s - 12 = 32*s. Let u(y) = y + 2. Let p(q) = q + 2. What is s*p(w) - 4*u(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let q(t) = 44*t - 65*t + 31*t. Calculate i(q(c)).\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 24. Let f(y) = 7*y - 1238. Calculate f(l(g)).\nAnswer: 21*g - 1070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) -5 (c) 3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 103*c**3 - c - 31. What is the hundreds digit of l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 9*z - 4. Let h be m(10). Suppose 2*l - l = -h. Let y(x) = -x**3 - 7*x**2 - 5*x + 7. Give y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69600 divided by 24.\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9298, -74451, -251240, -595465, -1162926, -2009423, -3190756?\n\"Answer: -9300*y**3 - 18*y**2 + y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avvv when four letters picked without replacement from vabaiiaiviv?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 132724.\nAnswer: 7299820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/49 in -0.2, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((5\/(-11))\/5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**2 - 32*c - 661. Determine s(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 10*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 167*n + 165*n + 10.\nAnswer: -2*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t - 6 + 41*t + 6.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 + 336*g**2 + 6156*g - 21384 = 0. Calculate g.\nAnswer: -18, 3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 69\/21 - (-4)\/(-14). Suppose -32 = w + w. Let j = 20 + w. Solve y*q - j = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/3)\/u)\/u)\/u)**23 assuming u is positive.\nAnswer: u**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4167*d**2*j**3 - 726*d**2*j + 11685*j**3 - 9*j**2 - 3*j wrt d.\nAnswer: 8334*d*j**3 - 1452*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, j: 13}. Give prob of picking 2 v.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*g + 5*k, -4*k = -3*g + 25 - 3. Let s(d) = 6*d + 0*d**2 - g*d + 2*d**2. Let c(o) = o - 2. Calculate s(c(n)).\nAnswer: 2*n**2 - 8*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/21*(-3)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*((sqrt(242) + 0 + -5 - (sqrt(242) - ((-1 + sqrt(242))*-4 + sqrt(242) - sqrt(242)))) + -2)*2 + 0))**2.\nAnswer: 9504*sqrt(2) + 139716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241.6 + -224.33. Let r = n + -2.27. Is 4 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.355, 1\/4, -1\/8, 0, 1?\nAnswer: 3.355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c312 (base 16) in base 7?\nAnswer: -3131633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = -a + 13, 2*a = -3*l + 39. Suppose -4 - 16 = -5*i. Suppose -2*d + 0 - 6 = -2*o, -2*d - 20 = -i*o. What is the remainder when l is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -150663?\nAnswer: 150670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2619 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + ((sqrt(68) - (sqrt(68) + (sqrt(68) - (-1*sqrt(68) + -4)))) + -3*(sqrt(68) + 2) - (5 + (sqrt(68) + -2)*-5)))**2.\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l + 27. Let b be y(-12). Suppose -2*p - 5*z + 755 = p, -5*p + z + 1277 = 0. Let i = p + b. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3057530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.3371 minutes to seconds.\nAnswer: 47300.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -69406?\nAnswer: -20821.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430638.2um in centimeters?\nAnswer: 43.06382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 44*r + 1795. Determine n(42).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (22\/242*-1)\/1\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-137500)\/(3\/24 + 0). Round l to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -872 bigger than -872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 23 + 65 = 0. Let b(i) be the first derivative of -3\/2*i**c + 0*i**2 + 3\/5*i**5 - 8 + 0*i + 0*i**3. Let b(h) = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262599 is divided by 1096.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(425) - (-2 + sqrt(34)\/sqrt(2)).\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 21*c - 2112. Calculate the remainder when 1820 is divided by c.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.888 + -0.112. Let y = l - -55. Let t = y - 10.89. What is the biggest value in -3, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/280 + 3*f**6\/160 - 3*f**5\/80 + f**4\/32 - 26*f**2. Let x(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubyuyunpkuyuuuk. Give prob of sequence ky.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*a + 25*a - 35280. Let i = -14 - -32. What is the remainder when a is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 28 = 5*a, 0 = 2*b + 3*b + 4*a - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 87*t + 6121118 = 74*t + 6100292 for t.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -2. Suppose -s*w = -0 - 5. Let h = 6 - w. Let r(f) = f + 1. Give r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 - -110. Let v be (n - -4)\/(3 - 9\/2). Which is bigger: v or 50\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -2726258?\nAnswer: 272624f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159395421 rounded to the nearest one million?\nAnswer: 159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 5) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000216563407 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + p + 2 + 3 = 0, 5*c - 35 = -2*p. Suppose 5*w - c = 5. Suppose -6*q**5 - 2*q**4 + 0*q**5 - 3*q**2 + 5*q**w - 8*q**4 - 2*q**3 = 0. Calculate q.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a microsecond in nanoseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m. Let u(i) = -21729816*i**2. Determine u(o(k)).\nAnswer: -543245400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:53 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52906867.\nAnswer: 13, 593, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (675\/(-40))\/9*(-68)\/(-51).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28854, -28860, -28870, -28884, -28902, -28924, -28950?\n\"Answer: -2*f**2 - 28852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*v - 922*v + 26247 = -35125 + 13853 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 4039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45a3a (base 16) to base 5\nAnswer: -33111432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 12*p + 4. Let i be g(-8). Let t = 102 - i. Suppose t*d - 721 = -205. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/814 and -5\/4.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*a + 76 + 54 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15315790, -30631582, -45947374, -61263166?\nAnswer: -76578958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 32*u - 4, -35*u + 21 = -38*u - 2*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (3 + (sqrt(2736) - (sqrt(2736) - (2 + sqrt(2736)))))) + 1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 6. Let z(t) = t**3 - 5*t**2 - 2*t + 15. Calculate the smallest common multiple of z(5) and k(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (11 + -2 + -2)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400490218 is divided by 4810.\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17260, -16849, -16166, -15211, -13984?\nAnswer: -12485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 952 + 62. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865, -868, -871, -874?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(4 + (5*(sqrt(378) + -2*sqrt(378) + sqrt(378))\/sqrt(6) - (sqrt(63) + sqrt(693)\/sqrt(99))*3)**2).\nAnswer: -20240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 29. Let l(u) = -4*u - 4. Let j be l(p). Put -146, j, -1, 4 in ascending order.\nAnswer: -146, j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21134 and -5.\nAnswer: -105670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 6020, 0.36, -9, -2\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, -8\/7, -0.2 in ascending order.\nAnswer: -5, -8\/7, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38150*b**2*i**3 - 3*b**2*i - 113*b*i**3 - 11*b*i + 2*b - 7*i**3 - 19 wrt b?\nAnswer: -76300*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - s + 25 = -3*s, 4*t = -4*s. Suppose 5*w - 109 = -19. Find the first derivative of t + 6*j - w + j + 0*j wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 40.\nAnswer: 87\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 5:45 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -532*t + 15. Is u(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -10. Suppose r*s + 2 - 23 = 0. Suppose -4*b + 13 = -s. Solve 4*k - 13 = -b*i + 4*i, 2*i - 2 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85379453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -893*c**2*l**2 - 290*c*l**2 - c wrt c.\nAnswer: -1786*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f - 320 = -5*l - 176*f, 4*l + 2*f + 0*f = 70 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4 = -4*d, -114*d + 4 = -110*d - 3*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3*d - 4. Let m(h) = 2*h**2 - 4*h + 5. Let g(c) = -4*m(c) - 5*u(c). Let q be g(2). Let y be (43\/(-5) - (-14)\/(-35)) + 1. Is y >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6947*d**2 - 8171*d**2 - 13425*d**2.\nAnswer: -14649*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 3) in base 12?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.4 at least 666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2468.\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = y + 4*y + 4, -f = y + 14. Let i be 2 + (-1)\/((-6)\/f). What is the nearest to 0 in i, -3, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091508989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldqowwq. What is prob of sequence dlo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28924 (base 12) in base 9?\nAnswer: -85601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.3, -171, -4, 5, 32 in decreasing order.\nAnswer: 32, 5, 0.3, -2\/9, -4, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 392\/6 - (26 - 924\/36). Calculate the greatest common divisor of i and 3445.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42 and 1.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-16)\/(-9) - (-14)\/63. Let p be -4*((-6)\/3 + 3). Which is the smallest value? (a) t (b) p (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 28 + 87 - 54.\nAnswer: 7*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 406*a + 71687.\nAnswer: -(a - 539)*(a + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/9 + 3)*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 3*r. Let j(n) be the third derivative of n**5\/30 + n**4\/6 + 16*n**2. Let i(u) = 4*c(u) - 3*j(u). Let s(g) = 2*g**2. Give s(i(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8053524 kilometers in micrometers?\nAnswer: 805352400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 + p**2 + p + 2. Suppose -60*t - 106 = 46*t. Let r(a) = a. What is t*r(o) + l(o)?\nAnswer: -4*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 96 = s, q + 2*s + s - 24 = 0. Suppose 5 = -19*w + q*w. What is the greatest common factor of 5 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 6*k - 310. Determine u(-20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9644 + 258. What is m rounded to the nearest 100?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/456944 and -91\/2284720?\nAnswer: 2284720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112555.76 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2)*(-2)\/(-6). What are the prime factors of -4 + 54 + -3 + x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -7*j + 29. Let z(a) = -a + 21 - j - 12. Let l(q) = -29*q. Determine z(l(n)).\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -663.438 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 12. Let c(z) = -343*z + 813. Let m(w) = 2*c(w) - 6*p(w). What is the first derivative of m(d) wrt d?\nAnswer: -680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((2\/(-5))\/(-2))\/1. Let y be (-4 - 3)\/(-1) - 4. Suppose 2 = -y*z + 4*q + 3, 5*z + 5*q + 45 = 0. Put z, 0, o in increasing order.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -324, -705, -1226, -1881, -2664, -3569, -4590?\nAnswer: -5721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -12. Let x be (-11)\/(-2) + b\/(-10). Solve -g + x*g - 14 = 3*h, -h - 6 = -2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmx when three letters picked without replacement from {m: 5, b: 7, x: 2, p: 3, j: 3}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 7*t + 3. What is g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 15 = 5*r. Let c be r\/(-24)*3 - 2\/8. Solve c = i + 1 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**3 + k**2 + 12*k + 21. Calculate f(-6).\nAnswer: 1713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - 4*v**4 + v**4 + (86*v**4 - 91*v**4 + 54*v**4)*(3 - 7 + 2) to the form z*v**3 + u*v**2 + b*v + x*v**4 + f and give x.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = j - 23, -3*j + 5*u - 16 + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/(-8))\/((15246\/528)\/(-11))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*a**5 + 2*a**4 + 806133*a**3 - 115831392*a**2.\nAnswer: 2520*a**2 + 48*a + 4836798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684))**2 + 1.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, 44, -1\/5, 1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2877611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 3. Let x = 11.2 - f. Which is the nearest to -0.1? (a) -0.1 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 37. Let w be f(10). Calculate the greatest common factor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11070?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*t = -2*j - 14, -2*j + j - t = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from wwvvwwwwwww?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 5 + 140*u - 1949*u**2 - 1 - 141*u + 8 to the form t*u + k*u**2 + q and give k.\nAnswer: -1949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1212 + 1228. Sort y, 0, 0.4, 3.\nAnswer: 0, 0.4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/72)\/(4*(-4)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 5, 110.\nAnswer: -0.4, 0.1, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1526 + -3.1526. Which is bigger: h or 1\/81?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 246aa (base 12) to base 9\nAnswer: 74654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87.5 + -50. Let a = 16 - 53. Let q = o + a. Put -0.5, q, -2\/5, -1 in increasing order.\nAnswer: -1, -0.5, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 7\/879 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r + 156. Suppose 2*q + 62 = -42. Let o = q - r. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(0 + sqrt(684) - sqrt(684))*2 - (sqrt(684)*-1 + 4 + -2*sqrt(684)*6))**2.\nAnswer: -624*sqrt(19) + 115609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 92046*d**3 - 1380174*d**2 - 3036494*d - 1564272 = 0. Calculate d.\nAnswer: -1, 17, 46008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Is (l\/(-6))\/(3\/(-27)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191602716 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10*l = -156. Suppose 4*f - 44 = 68. Suppose l + f = 4*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwmwwqmq. Give prob of picking 1 w and 1 q.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(2\/(-4))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*m - 742*m + 156*m + 16872 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -777*o + 378. What are the prime factors of x(-5)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98644 + -27777. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102942 - 102942.043867. Round b to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i. Let t(p) = 9*p**2 - 2*p - 2. Calculate -t(b) + w(b).\nAnswer: -10*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 4149.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 4262447904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.2 + 1.2. Let m = -42.7 - r. Which is the second smallest value? (a) m (b) 3\/2 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 13. Suppose -q + 0 = 7. List the prime factors of h(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -394, -795, -1050, -1159, -1122?\n\"Answer: 73*f**2 - 620*f + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -10*l**3\/3 - 31*l - 27. Differentiate x(b) with respect to b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:22 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6345157945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16630 + 137656 + 403374 = 300*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 52 + 58. Let m be -1 + (3 - 0) - -2. Suppose 3*g = m*k - 7 + 40, 2*g = -5*k + 22. Calculate the highest common divisor of g and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*o = -29, -22 = w + 2*o - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.2. Let v = 67759 + -67758.5. Which is the third biggest value? (a) k (b) v (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*j + 18, 2*j = 7 - 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 5. Calculate the highest common factor of m and 336.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 + 80 - 152 - 30*c)*(0 - 2*c + 0) as t*c**2 + x + y*c and give t.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45082 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627024513 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**2 - 3*b**2 + 7*b**2 + 11*b**6 + 7*b**2 wrt b?\nAnswer: 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 81*z**2 - 535*z + 23634. Determine a(41).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 259 = -4*v + 271, 5*v - q = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4552569?\nAnswer: 3, 7, 127, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3600 and 3312?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/15 + (-14)\/(-6). Suppose x*j = 3*j + 4. Suppose 11 = -5*u - 4. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79782402 and 51024?\nAnswer: 638259216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1, -67.5, 33, 43 in decreasing order.\nAnswer: 43, 33, 1, -3\/7, -67.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 + 349. What is the greatest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + z**3\/2 + z**2 + 9*z. Let y be n(-3). Solve g + g = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**3 + 0*b**4 - 1\/12*b**5 + 0*b - 5*b**2 + 1\/48*b**6 + 0 + 1\/84*b**7. Find v, given that t(v) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*n + 5*d - 31 = 113*n, 2*n + 2*d = 14. Solve -n*z + 6*z - 10 = -3*y, -z + 10*y = 64 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124009 is divided by 412?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37139, -74271, -111383, -148463, -185499, -222479, -259391?\n\"Answer: 2*b**3 - 2*b**2 - 37140*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 317 + -dc72?\nAnswer: -d959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*i = -19, 4*x + i = 16 + 6. Suppose u = x*u. Suppose m + 4 = -u*m - 4*z, -5*m + 5 = -5*z. Solve -5*p - f = -16, m = p - f - 4 - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-443784)\/(-9) - (((-91)\/7)\/(-13))\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (2*sqrt(77) - sqrt(77)) + sqrt(77)))*5*1)\/(sqrt(22)\/(sqrt(2) - (sqrt(2) - sqrt(20)\/(sqrt(10)*-2)))) + -1.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20642\/62 - (34 + 4224\/(-124)). What is the highest common factor of 1591 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1365*1.18\nAnswer: -0.16107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52540 - -145400?\nAnswer: 242340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108, 230, 364, 516, 692?\n\"Answer: c**3 + 115*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a1371 - -17?\nAnswer: a1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*(-3 - -9 - 5). Which is the third smallest value? (a) -4 (b) -3 (c) 0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from {g: 4, l: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/15)*((l\/l**11)\/l)\/l*(l**(-2)*l*l)\/l**(-2\/13) assuming l is positive.\nAnswer: l**(-2336\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57537c (base 15) to base 14.\nAnswer: 7a73db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5\/3 + 472*t**4\/3 + 1448*t**3\/3 + 496*t**2\/3 - 1444*t\/3 - 968\/3 = 0. What is t?\nAnswer: -2, -1, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 28829607.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71208 and 6?\nAnswer: 71208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 - 6*z - 16.\nAnswer: -(z + 4)*(z + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*u - 21 = 3*u, -4*u = 4*n + 24. Suppose 5*f - 40 = -0. Let s = f + n. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22477 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 662454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**2 - 7*m**2 + 6*m**2 + 3*m**2 + 11*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(-104)\/(-4). Let i = 13 - k. Solve 2*s - 3*s - 5 = i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310 - 307. Let l be (-2 - (-8)\/12)\/(o\/(-9)). Let f(a) = -2*a - 9. Let g be f(-6). Solve 0*z + t = g*z - 15, -15 = -3*z + l*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (-124)\/(-8) + 1\/2. Let v(s) = 2*s + 16. Let w(q) = -q - 8. Let n(d) = 3*v(d) + 5*w(d). What is the tens digit of n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001703 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33789, -22, 5, -5 in decreasing order.\nAnswer: 33789, 5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.69 (b) -0.06 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -131?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7161 and -62\/5181.\nAnswer: 1124277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*c - 4*c = 6*c - 141 + 6315 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 157*g + 1422. What is k(-5)?\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 84 = -4*c - x, x = 0. Suppose -2*o - c + 3 = 0. Let t = o + 20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*y**3 + 2*r**3*y + 109*r*y + 62*y**4 wrt y?\nAnswer: 6*r**3*y + 744*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1290, -1286, -1282, -1278?\n\"Answer: 4*o - 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 7*x - 6. Let j be f(8). Suppose 0 = -y - 1 - 2, -j*y - 114 = -4*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/((-24)\/352) + -1. Let c be 789\/5 + m\/(-115). Let q = c + -40. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - (-4 - -5)) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15344799 and 8.\nAnswer: 122758392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 10\/541, -2?\nAnswer: 10\/541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.973908 millennia to months.\nAnswer: 23686.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 8)\/(-3*(-4)\/6). Let w be -1000000 + (v + 2)*(2 + -2). Round w to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, l: 1}. Give prob of picking 1 w and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**5\/10 - 3*s**4\/2 + 15*s**3\/2 - s**2 - 30*s + 3870. Factor f(l).\nAnswer: -(l - 2)**2*(l + 1)*(l + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*g**3*h**5 - 3*g**3*h**2 - 4*g**2*h**5 - 2*g**2*h**2 - 2*h**2 wrt h.\nAnswer: 540*g**3*h**2 - 240*g**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugfm when four letters picked without replacement from mmgfjmdmjumgdgj?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t**3 - 16*t**2 + 620*t - 6. Let i(g) = 2*g**3 + 3*g**2 - 124*g + 1. Calculate 11*i(p) + 2*j(p).\nAnswer: -2*p**3 + p**2 - 124*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*g - 34, 3*x + 3*g - 7 = -g. Suppose -o - x = -4, -3*n + 3*o + 36 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2250 and 2025?\nAnswer: 20250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - (-133 - -71 - -35).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4)\/((-12)\/(-24)) + 216\/126?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16920026, 33840059, 50760092, 67680125?\n\"Answer: 16920033*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*m + 18*m**2 - 41*m + 10*m wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -957 * -0.01325\nAnswer: 12.68025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/20466 and 1\/540.\nAnswer: 204660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 2. Determine k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-186))\/((2\/(-8))\/((-10)\/(-8))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287\/2 - 143. Let x = 19 - 9. Let k = 10.06 - x. Sort 3, g, 1, k in increasing order.\nAnswer: k, g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17236024, 34472049, 51708072, 68944093, 86180112, 103416129, 120652144?\n\"Answer: -m**2 + 17236028*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6631524 rounded to 3 decimal places?\nAnswer: 0.663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -135689 (b) 1\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(2)*1 + sqrt(2) - (5 + (sqrt(14)\/sqrt(7) - sqrt(2)) + sqrt(2) + sqrt(2))**2.\nAnswer: -29 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n + 1. Let o be g(-1). Let l(j) = -j + 1. Let t be l(o). Is (0 + 14)\/t - -3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) -3.9 (c) -1\/4 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:14 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239\/106 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16509 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 163888?\nAnswer: -164010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (0 - (-6 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 + 14*y**3 + 54*y**2 + 1\/4*y**5 + 0*y - 1\/6*y**4. Differentiate x(t) wrt t.\nAnswer: 30*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 4109938*w - 4222897590961.\nAnswer: -(w + 2054969)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-362)\/16 + (53\/(-106))\/(12\/9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/5 - 2*a**4 - 8*a**3\/5 = 0. Calculate a.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 195*m**3 + 91*m**2 + 91*m. Let i(a) = 13*a**3 + 6*a**2 + 6*a. Give 6*g(y) - 91*i(y).\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 52*w**4 - 157*w**4 + 2*w**3 + 102*w**4 + 105*w**4 + 148*w**2 to the form i*w**4 + q + u*w**3 + y*w**2 + p*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 989550 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -43.2. Round h to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 15*j + 10 = 0. Suppose -8*a = -6*a - 4. Let c(m) = -67*m**j + 31*m**2 + 40*m**a. Let l(t) = -t**2. Give l(c(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 270.9999915 + -271. Round w to seven dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 152*w - 6388. Determine x(42).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 1, h: 4, d: 3, e: 4, j: 1}. What is prob of picking 3 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.4385 decades to years.\nAnswer: 1794.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*y + y**2 + 2*y - 2*y**2.\nAnswer: -y**2 - 205*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9213 - -9232. Let b be 2*2 + -1 + -1. What is the third derivative of 4*a**4 - i*a**4 + 3694*a**b - 3673*a**2 wrt a?\nAnswer: -360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/15 + 6*d**4 - 934*d**3\/15 - 514*d**2\/3 + 6256*d\/5 - 4232\/3 = 0?\nAnswer: -5, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141824 - -212455. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(0 + (-4)\/(-6)). Suppose 10*q - 24 = 7*q. Let c(m) = -m + 3. Let x be c(q). Sort a, x, 5 in decreasing order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let c = 115 - 113. Suppose 5*i - 3*i - c = 0, -2*i + 14 = 3*f. Let t(u) = -3 - 6*u - 4*u + 4*u + 3*u. Determine f*k(l) - t(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 558 + -551. Let x(i) = -i**3 + 5*i**2 + 9*i + 8. Calculate x(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.91 times 468.68\nAnswer: 1363.8588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 14*d**4 + 4*d**4 + 2*d**4 + 1 + 6*d**4 in the form n*d**2 + k*d**4 + q + o*d**3 + i*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -12 + 2. Let a = 17 + -17. Suppose -v - 1 - 2 = a. Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - ((-11)\/3 + 2\/3). Suppose -20 = 6*c - t*c. Suppose 40 = 7*y + c. What is the remainder when 10 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152320?\nAnswer: 2, 5, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + s**3 - 4)*((-1 + 2 + 1)*(5 - 5 + 4*s) + (0*s + 0*s - s)*(-2 - 3 + 2)) as l*s**4 + u*s**2 + h*s + o + y*s**3 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/1267 + 88681\/11403. Let u = v + -8. Let b = 243\/56 - 33\/7. Put 3, b, u in ascending order.\nAnswer: b, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w. Suppose -3*d = 5*h - 118, d - 5*h - 26 = -w*d. Calculate the remainder when d is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4395*m**4*s**2 - 5*m**2*s - 462*m*s**2 wrt m?\nAnswer: 105480*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*q - 1110, -3*w = -2*w + 4*q - 300. Suppose n - 5*a = -n + w, a = 5*n - 654. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 720 + -719.43. Which is the nearest to 0? (a) -4 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -693*d - 4027. Let y(v) = v. Give y(l(h)).\nAnswer: -693*h - 4027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3245.4235 + 3210.423573. Let a = 35 + v. What is a rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) 16 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1) + 39\/(-3). Let m = -11 - a. Is (1 + (-1)\/m)*100 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -6. What is the derivative of 1 + 5*k + d - k - 2*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -5 + sqrt(343)*-2 + sqrt(343) + sqrt(343))*2)**2 + -3.\nAnswer: -280*sqrt(7) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*sqrt(119)\/(-2*sqrt(7))*-4 + 5 + (sqrt(2448) - (1 + sqrt(2448))) + sqrt(2448) + -2)**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z, -5*z + 3 = -3*x - 13. Let o be 7 + -7 - ((3 - 9) + x). Suppose 3*v - 12 = 0, -3*g + o*v + 0*v + 13491 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 9\/7, -48?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/36 + (-86)\/(-18). Suppose -p*m + 3*m = 16. Let d be (-22)\/(-4) - (-4)\/m. Solve d*s - 4 + 29 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/18*-1*2*75\/10\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = l - 6, 2*j + 4*l = 2. Let v(f) = -3*f + 34. Let n be v(j). Solve -h + 4*h = -6, -n = -t + h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 732\/30 - 4\/10. Suppose c = -3*d + 7*d. Calculate the remainder when 8 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122851089.\nAnswer: 317, 3542117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - -41524113?\nAnswer: 41524204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 3*n + 6 - 64*n**2 - 4 - 1.\nAnswer: -64*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 k when three letters picked without replacement from {o: 9, k: 11}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 2*s - 4. Let c be i(3). Suppose -5*x + 55 + 10 = 5*w, 3*x = w - c. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124011 is divided by 852?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2350*f**2*o + 353*f**2 + 61*f*o + 2*f + 3390*o - 5 wrt f.\nAnswer: -4700*o + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29029024 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/(sqrt(16)\/sqrt(4)))\/(-3*sqrt(64)) + 5*(2 + sqrt(98) + 0) + 4)**2.\nAnswer: 2933*sqrt(2)\/3 + 189673\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 122051 times -532\nAnswer: -64931132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6813513 by 2923.\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/348 and -19\/36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 + 11*h + 32. What is j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(26)\/(-3*(sqrt(2) - (sqrt(2) + sqrt(12)\/sqrt(6)))))**2 - -4*(1*sqrt(91)*5)\/sqrt(7).\nAnswer: 22\/9 + 62*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 + 5*o - 4. Let g(c) = -8*c**2 + 6*c - 5. Let x(u) = 5*g(u) - 6*r(u). Let h be x(-1). Let b = h - 2. Solve b*s + 0*s = -20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12936033427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7479*h + 74538. Give a(10).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 13. Let t(m) = m**3 + 6*m**2 + 3. Let z(g) = g**3 - 6*g**2 + 9*g - 10. Let x be z(4). Let h be t(x). Solve -3*l + 6 = h*o, -o = -0*o - r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*c + 65, -5*c - 6327*f = -6328*f - 76 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(1*sqrt(108)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*v = 34, 0 = -3*x - 5*v + 55 + 1. What is the greatest common divisor of x and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/33974318 and -65\/4?\nAnswer: 67948636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-9*(-1)\/21*7\/(-21)). Solve 5*l = -5*w + 30, -5*w = -4*l + 4 - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-12)*(s*s\/(s**25*s*s*s)*s*s)\/s assuming s is positive.\nAnswer: s**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 1007 + 3443 = 0. Solve -24*u - 124 = -y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16009386 is divided by 2155?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:29 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3115983*j*v**5 + 83*j*v**4 + 82*j + 1802156*v wrt v.\nAnswer: 62319660*j*v**3 + 996*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 31. Let i = 41 - a. Let m = i + -36. Solve v - 3*o = -1, 2*v - 4*o = -9*o - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, -30, 18, -1 in ascending order.\nAnswer: -30, -3, -1, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5524102*v**3 + 722*v**2 + 26*v + 19 wrt v.\nAnswer: 33144612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19052092.51 to the nearest 100000.\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d\/((d**(-5)\/d)\/d)*(d**1)**35)\/(d*d*d\/((d*d**(-2\/29)*d*d)\/d)*d*d*(((d\/(d*d**5*d))\/d)\/d)\/d*d*(d\/(d**(1\/4)\/d))**(-14)) assuming d is positive.\nAnswer: d**(3853\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 0*g + 32. Solve f - g = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(5\/30)\/((-2)\/(-18)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.74 minus 0.21009061?\nAnswer: 50.52990939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2012 (base 5) to base 15\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 + 58*m**2 + 9598*m\/5 + 1862.\nAnswer: 2*(m + 1)*(m + 49)*(m + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h + 9. Let l be a(-7). Let q = l - 16. Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - 4*m + 6*m)*(5 - 8*m - 5)*(-3*m + 2*m + 14*m)*(-1 + 0 + 3) to o + a*m**3 + s*m + y*m**2 and give a.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00362205 to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 25*m**2 + m + 1148436 - 1148436. Calculate c(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/687 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -30680 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -3 - (10 + -11 + -10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1. Suppose -72 = -2*y - 0*y. Let a(d) = 27*d - 36. Let r(m) = y*x(m) - a(m). Let h be r(1). Solve 0 = -h*t + 4*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 109 (c) 16\/17 (d) -3 (e) 0.3 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 735 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = -16*r - 392. Calculate the highest common divisor of r and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:30 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*z + 111*z + 3*z**2 + (4*z - 7*z + 4*z)*(2*z + 0*z - 3*z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 12*g + 13. Let i be s(11). Let l be (2 - -12)*5\/i. Calculate the highest common divisor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:52 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -18, 35, 0, -1, 5 in descending order.\nAnswer: 35, 28, 5, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 26517150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let v(a) = -3*a. Let c(m) = -3*v(m) - 5*x(m). Let f(u) = u**2. Give f(c(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4857 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106793 - 50596. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 10\/7, -1\/5, 2\/7, 2\/111 in descending order.\nAnswer: 3, 10\/7, 2\/7, 2\/111, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/29)*w*w\/(w*w*w*w**(-32)*w*w*w*w))**20 assuming w is positive.\nAnswer: w**(16260\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(567) + 0 + 1 + -5)**2 + ((-5*sqrt(28)\/sqrt(4))**2 - (sqrt(42)\/(sqrt(12)\/sqrt(2)) + sqrt(7))**2) + ((sqrt(7) - (sqrt(112))**2) + 0)*3.\nAnswer: -69*sqrt(7) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y - 8 = 2*o, o + y + 2 = 0. Let a be ((-1)\/o)\/((-7)\/56). Let l be (-2)\/2*a\/32. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 3*o + 5*o - 30186. Does 43 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/4 (b) -4 (c) 3.1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2378691746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 32, 0.1, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1785479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.0596 - -6.1432. Let q = 0.0836 - y. Which is the fourth smallest value? (a) -0.2 (b) 0.2 (c) -1\/4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/4 + (-8)\/32. Let n be (-1)\/h + (-1745)\/(-10). Suppose -7*w + 791 - n = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3 - 15\/2*b**2 - 5*b - 1\/3*b**3. What are the prime factors of o(-11)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 - o**5\/20 + o**4\/6 - o**3\/6 + o**2. Let u be (-2)\/((-76)\/6 - -12). Does 3 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39936\/(-73416) + 16\/28. Is 0 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 49 = 877. Let j = -3262.6 - -3263. What is the second biggest value in m, j, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23986.\nAnswer: 2, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12181 and 1144?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -118, -187?\n\"Answer: -69*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643644.\nAnswer: 2, 3, 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = -5*q + 6, q + 6 = 2*m. Let o = m - 5. Let y(p) be the third derivative of -p**6\/120 - p**5\/15 - p**4\/8 - p**3\/6 + 9*p**2. Calculate y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/16)\/(3\/2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*q - 56*q + 192 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2572 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99545 is divided by 2262.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*c**2 + 58*c**2 + c - c.\nAnswer: 221*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680722 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m - 1. Let a = 8 - 10. Let i(r) = 4*r**3 + 2*r**2 + 2*r + 4. Let n(x) = a*u(x) - i(x). Determine n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = -10. Let a be (-45)\/18*16\/s. Let i(l) = 2*l + 8. Does 14 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.170081395+-0.1\nAnswer: 0.070081395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.4 (c) 2.61 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.07948+2523237\nAnswer: 2523238.07948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -92 (b) -3 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:36 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4912 and 8.4949.\nAnswer: -41726.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 19\nAnswer: 58\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 - 524345*z**3 + 118755105*z**2 - 235937155*z + 117706400 = 0. What is z?\nAnswer: -105095, 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-950))\/((-2429)\/(-1735))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m - 37. Let d be n(-3). Let g be (-13 - d)\/((-9)\/12*-14). What is the second biggest value in 1\/4, g, 5\/6, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 0*(-1)\/2. Let g(l) = -3*l + 2*l**2 + 2*l + f - 3*l. Calculate g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*t + 66236 + 3748. What is the smallest common multiple of 6 and t?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -34590?\nAnswer: -2\/17295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14074, 11081, 2 in decreasing order.\nAnswer: 14074, 11081, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249 + 116. Let o be q\/213 - 4\/(-6). Let t = o + 133\/213. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-12) - -3) + (0 - -7). Solve -y*x = 2*h - 2*x + 2, -3*x = -2*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4\/((-136)\/119).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346882 is divided by 583?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/(-350)*(840\/(-16))\/(-105).\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-12))\/((-8)\/24). Put 2\/5, 1\/3, j, -3 in ascending order.\nAnswer: -3, 1\/3, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3501 - -3504. Suppose m + 2*m = 6. Put 0.5, -0.4, o, m in descending order.\nAnswer: o, m, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*x = 17, -4*h - 15 = x + 2*x. Let b be (-5 + 3)\/(h - -1). Let p be (2 - b\/1)*3. Solve -4*d - 1 = p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*d + 5*o - 32, 0 = -2*o + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193398.78 months to millennia.\nAnswer: 16.116565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 22 = 256*f - 252*f, -5 = 4*f - 3*i + 14 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6810299*a*q**4 + 2*a*q**3 - 15*a - 132275 wrt q.\nAnswer: 27241196*a*q**3 + 6*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 1, m: 2, x: 1, i: 5, r: 4, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/20)\/((-772)\/4825)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 407*f**2 + 8*f + 3. Let h(i) = -405*i**2 - 10*i - 3. Give -5*g(d) - 4*h(d).\nAnswer: -415*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27 + 2\/(-2*1). Suppose 117 = -32*g + 35*g. What is the tens digit of g\/b*(29 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146957, -587832, -1322627, -2351342, -3673977, -5290532?\n\"Answer: -146960*d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252806808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (53 - 37) + -32 + -20\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.32. Let v be 3\/18 - (-2)\/(-4). Put 5\/3, a, v in ascending order.\nAnswer: v, a, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from eeeaeeeaeeeeeeeeae.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -182, -402, -752, -1220, -1794, -2462, -3212?\n\"Answer: 2*q**3 - 77*q**2 - 3*q - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33022232 + -120?\nAnswer: -33023012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.715 and 0.2.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/5)*a\/(a*a*a\/(a\/(a\/(a\/(a\/(a*(a*a\/a**(-3\/2)*a*a)\/a*a)))*a)))*(a**(1\/4))**(16\/9))**(-3\/22) assuming a is positive.\nAnswer: a**(-391\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.297412023 to five decimal places.\nAnswer: 0.29741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p**2 - 77*p**3 + 535*p**3 - 215*p**2.\nAnswer: 458*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6. Let g be n + -2 - 14\/(-7). What is the nearest to g in -4\/3, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 5. Let q be (3 + o)\/((-2)\/(-4)). What is the second derivative of j + 0*j + j**2 - q*j**2 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874724 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qrqrqqqq?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 834*z + 52. Let p be g(22). What is p rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -453 - -478. Let d = v - 26. Let y = 2.9 - 3. Put -1\/9, 0.7, d, y in ascending order.\nAnswer: d, -1\/9, y, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 57*o**2 + 3*o - 3. List the prime factors of y(-3).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 131*v. Let q(r) = 90*r**2. Determine m(q(t)).\nAnswer: -24300*t**4 + 11790*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -163514 (base 8) in base 13?\nAnswer: -20c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 2. Let l = -130 - -133. Determine g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 10, m: 2, y: 5}. What is prob of sequence jdm?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -4. Solve j = -3*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 36*u**2 + 481*u + 2169. Determine z(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3224844198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -124, -195, -266?\n\"Answer: -71*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*10\/6*(-12)\/30.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2577*g**4 + g**2 + 9983 wrt g?\nAnswer: 10308*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 4*a - 2. Suppose 7 = 4*d - 1. What is r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-14))\/(51\/(41412\/(-725)))*25\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -11, -352, -5 in descending order.\nAnswer: 2, -3, -5, -11, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.651232 millennia to decades.\nAnswer: 865.1232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62.04 + -62. Let g = h - 36.04. Let z = g + 36. Which is the second smallest value? (a) z (b) -1\/4 (c) -0.1 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 2*g - 5*k, -k - k = -2*g + 344. Suppose 0 = -c + 3*n + g, 4*n + 336 = -4*c + 1092. Is 39 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**(-7\/2)\/(u\/(u**(-1\/4)\/u))**(-6\/23) assuming u is positive.\nAnswer: u**(255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 74, 65, 3 in ascending order.\nAnswer: -5, 3, 12, 65, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246739 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.7475*-3\nAnswer: 2.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 10:21 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3125\/18 - -22163\/126. Let y be (-33)\/(-14) + 3\/6. Factor y - 4\/7*x**2 - w*x.\nAnswer: -4*(x - 1)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -676735 by -5.\nAnswer: 135347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 283078 + 138922. What is w rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let o(x) = -130*x**2 - 22*x**2 - 101*x**2 - 117*x + 117*x. Give s(o(r)).\nAnswer: -253*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 121 = -3*t, 0*t + 176 = 4*t + 5*n. Let y = t - 20. Let l = 511 - 359. Calculate the highest common divisor of l and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*a + 236*a + 0*a**2 + 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and 11\/212776.\nAnswer: 212776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 12282 - 7699 = 0. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320.9 - -321. What is the closest to -80 in 3, 2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3*r**2\/2 - 8*r + 2. Let p be y(8). Does 6 divide (p\/(-12))\/(1\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -85. What is the hundreds digit of (576\/9)\/z - -298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1450 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 4*y**4 + 4*y**4 + (13 - 8 - 4*y - 15)*(-5*y**3 + 0*y**3 + 3*y**3) as a + l*y**4 + u*y**2 + h*y**3 + s*y and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 3 = 71. Let v(m) = 45*m + 98. Let g be v(d). Solve -3*r = -5*r + g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3\/7 + 24555*r**2\/7 + 50331501*r\/7 + 50159763 = 0. What is r?\nAnswer: -4089, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 4:16 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 8*p + 1. Let v be d(7). What is the common denominator of (v\/2)\/(-24)*-7 and (-1)\/25*(-1095)\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -386*j**3 - 392*j**3 + 1173*j**3 - 390*j**3 - 66 + 5*j + 6 as z + s*j + h*j**3 + l*j**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2 + -5 + sqrt(475) - (sqrt(475) + -1 + -3) - (sqrt(475)*2*-6 + 0))**2*1.\nAnswer: -140*sqrt(19) + 93101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11589.\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -108 + 108 + 7*o. Let i(w) = w**2. Determine i(j(m)).\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 322, 300, 240, 124, -66, -348, -740, -1260?\n\"Answer: -3*g**3 - g**2 + 2*g + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 2726175.7\nAnswer: 2726175.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, 1 v, and 1 s when four letters picked without replacement from {n: 1, v: 3, u: 1, m: 5, s: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2312?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t + 6 - 14*t + 64*t.\nAnswer: 72*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - y**2 + 330 - 36*y + 60*y - 27*y in the form m*y**2 + a + j*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 3*k**3 - k**3 + 4*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -53 (c) 1 (d) 0 (e) 4\/7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/3 - 5*x**2\/2 + 3*x - 11. Let l be k(-5). Solve -j + 0*j = -l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16328 + -16255. Suppose 0 = -d + 2. Sort -5, x, d.\nAnswer: -5, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 2*f - 2. Let h be b(2). Let z be 135\/h*4\/6. Solve 0 = 4*j - j + z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3*z**4\/4 - 2. Suppose 163 = -14*s + 93. Let t(r) = -r**3. Determine s*t(y) + c(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*l = 2*t - 86, 0 = 2*l - 6. Suppose 4*r - m = -22, -2*r = -4*r + 5*m - t. Suppose 15 = -2*u + 5. Is r >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103\/483 + -5\/69. Which is the nearest to t? (a) 1 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904091703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*z - 1 - 1 - z**3 to the form g*z**3 + l*z + t + d*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-8)\/(-4)) + 0 + 0. Which is the closest to -1\/4? (a) -3\/4 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 + 1. Let n(o) = -o**3 + 8*o**2 - o - 2. Let j(b) = -182*b - 7100. Let k be j(-39). Determine k*y(s) - n(s).\nAnswer: -s**3 - 10*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)*i**5*(i**(-5)\/i)\/(((((i*i\/i**2)\/i)\/i)\/i)\/i))**36 assuming i is positive.\nAnswer: i**(612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1 = z, 11566*l - 11570*l + 8 = -2*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 0.26, -2\/13, -0.4, -1038?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*d**2 + 622*d**2 - 1284*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 69. Suppose 5*m = -4*p - 40, 4*m + 5 + 58 = 3*p. Let k be d(m). Solve -4*h + 4*l = 8, 7*h + 11 = k*h + 5*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161.7 - -162.1. What is the second smallest value in 1\/4, -75, y, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0 + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose v - 39349 = -4*v - 3*p, 5*p - 23603 = -z*v. Let k = v - 4518. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 9*k**2 + 17*k - 12. Let n be v(-5). Which is the third smallest value? (a) 2 (b) 1\/7 (c) n (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1547 - 847. Is h a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by -6?\nAnswer: 113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/((-2)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1474, -1793, -2110, -2425, -2738, -3049?\nAnswer: -3358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007649629809 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3*s - 2. Let c be t(4). Let h(z) = -1 + c + z + 1 + 0. Let b(l) = -1. Calculate -4*b(k) - 2*h(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -38 - 7. Let k = 645 + -1963\/3. Is s smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219\/5 + 44. Which is the fourth smallest value? (a) -4 (b) 2 (c) v (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/(-12) + 4\/(-16). Suppose 24 + 54 = s*d. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*n + 5, 3*p = 3*n + 14 - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**6\/5 - q**3\/6 + 8*q + 8. Let f(o) be the first derivative of p(o). Find the second derivative of f(w) wrt w.\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v + 14*v - 115*v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 4*a + 3. Let s be f(-4). Let y = s - 1. Calculate the remainder when 6 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.55 + 0.05. Let h = -1.2 - -1. What is the second biggest value in h, k, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2586165 = -2586161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 17*c + 37. Let s be h(-3). Let o(b) = -4*b**2 - 8*b - 6. Give o(s).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 10*y**2 - 39*y + 55. Determine t(8).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - c. Let u(k) = -13*k**2 + 5*k + 1. Let j(h) = 9*d(h) + 2*u(h). Determine j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 d when four letters picked without replacement from {q: 6, l: 4, d: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1987976, -3975930, -5963886, -7951844, -9939804?\nAnswer: -11927766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202.37 millennia in centuries?\nAnswer: 102023.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82889\/27 - -3071. Let p = -26928 - -1050136\/39. Calculate the common denominator of t and p.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12462 - 4186. List the prime factors of p.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 5*r**2 - 9*r - 5. Let m be y(8). Suppose -3*u = 4*t - m, 3*t + 78 = 2*u - 27. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5*f)*(2*f**3 - 6*f**3 + 3*f**3)*(3*f + 0*f + f).\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*o - 8722, 2177 = 4*o - 3*o + 3*w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-10)*(4 + 8). Suppose 0 = v*m - 202 - 164. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 33 + 88 = -110 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*k - 12 = 0, 9 = 3*s - s - 3*k. Let r(d) = -40*d - d**3 + s - 4 - 4*d**2 + 38*d. Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -811*q - 273*q**4 - 774*q + 213*q - 334*q**4 + q**3 + 98*q**4 wrt q.\nAnswer: -6108*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2 - 0) + 4 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + (-3)\/3. What is the units digit of (j + 4)\/((-3)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlbblmbllmlmmmblmbb. Give prob of picking 2 l.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5601176 and 9\/232?\nAnswer: 5601176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 5*c + 8*c + 51 + 35*c - 28. Let i be u(-12). Let z(b) = -b. Let m(f) = 4*f + 4. Determine i*m(k) - 6*z(k).\nAnswer: 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071.84 meters in nanometers?\nAnswer: 6071840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 149 - 147 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -92, -96, -100, -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-84)\/(-490))*(-318)\/265.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/((-8)\/10*13310\/1452*(-15)\/(-220)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 5:04 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*u**(-1\/2)*(u*(u\/((u\/(u**(2\/7)\/u))\/u))\/u*u)**46 assuming u is positive.\nAnswer: u**(877\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let l(b) = -7 + 3*b + 12*b + 8*b - 14*b. What is the units digit of l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 3. Let n be s(10). Let m = n - 25. Let d be (5\/2)\/(1\/m). Solve -8*l = -3*l + d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 0 = -c. Suppose 2*o - 5*o = 24. Let h = o - -11. Solve -c*k + 16 = -h*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - ((-73 - -33) + 89)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(96\/119) + (-285)\/(-57)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f = 55*f - 98*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100169279257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/5 - 4*w = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + t - 2*t + t**2. Let h(u) = -4*u**2. What is h(w(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1331.800012957 - -1331.8. Round b to seven dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/35 + 34\/10. Solve 5*k = r*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -5870877.508.\nAnswer: -5870878.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 737.61 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 185. Suppose -a + 2 = -23. What is the remainder when s is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 8. Let b(a) = a**2 + 5. What are the prime factors of b(u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/24 - 2*l**3\/9 - 31. Suppose p(j) = 0. What is j?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117\/7 in -4, 0.2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3601)\/(-554)*(-8)\/(-6).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*s - 37 + 757 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1900) + 2)**2 - (sqrt(1900) + 1)**2*6.\nAnswer: -9497 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - (-19 - -82) - -27?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) - (1 + 135\/(-5)). Differentiate -639*k**3 + 621*k**3 + j + 4 with respect to k.\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180050 to the power of 1\/2, to the nearest integer?\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -54*2\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147472 + -3?\nAnswer: -147475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -10. Let a(f) = 6*f + 6 + 9*f - 14*f. Let p be a(z). Solve -o + p = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, m: 7}. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 101121?\nAnswer: 101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 82*v - 31*v + 2*v**3.\nAnswer: -v**3 - 113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -6.85.\nAnswer: -20.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {k: 1, q: 1, t: 1, n: 3, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 105*z**3 + 365*z**2 - 435*z + 170.\nAnswer: 5*(z - 17)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32349280 divided by -1617464\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 143. Let y = s + 40.99999959. What is y rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/855019 and -73\/310916.\nAnswer: 3420076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from aanoahhhban?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 3*r**2 + 84*r**3 + 4*r - 23*r.\nAnswer: 84*r**3 + 3*r**2 - 37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v + 1. Let j be n(-2). What is the first derivative of -18 + 12*x + j*x + 4*x wrt x?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4056500 divided by 4\nAnswer: 1014125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let i(o) = 7*o**2 + 2*o**2 - 15*o**2 + 4*o**2. Give i(q(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033021 (base 6) in base 13?\nAnswer: -1a3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus -3.251?\nAnswer: -22.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 35, 0.2, 18 in decreasing order.\nAnswer: 35, 18, 0.2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4 + 5 - 3*r + 4*r. List the prime factors of h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -151*s**6\/60 + 79*s**5\/60 + s**3\/3 - 6*s**2 - 6. Find the third derivative of f(i) wrt i.\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 13*w**2 - 14*w + 4. What is the units digit of v(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:11 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i. Let x(n) = -2*n**2 - 227*n + 47902. What is x(v(t))?\nAnswer: -200*t**2 - 2270*t + 47902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4692 and 24406?\nAnswer: 57256476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)*(210\/35)\/((-6)\/(-9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062631 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 12. What are the prime factors of b(-11)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -67234634\nAnswer: -6723463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-10)\/(-42))\/((-30)\/(-36)) + (-14337)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12857294 = 386*c - 12826414 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 29882 = -22*i. Let n = -298699\/20 + i. What is the common denominator of 89\/10 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let k be (-1 - -1)\/(o - 5). Suppose 0*u = -v + u + 32, k = v + u - 38. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 638768\nAnswer: 9\/638768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -336.\nAnswer: -19\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (36\/45)\/(4\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a**3 - 4*a**2 - 7*a. Let v(i) = 12*i**3 + 3*i**2 + 6*i. Calculate 6*b(w) + 7*v(w).\nAnswer: 6*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-234) - (-1472)\/54. Let k = z - 58913\/2160. Calculate the common denominator of 93\/20 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258.07 + -246.8. Let v = 1.73 + y. Which is the second biggest value? (a) v (b) 2\/13 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a + 194. Let k be d(-19). Suppose 194*i + k = 196*i. Determine r so that -6\/5*r + 2\/5*r**i + 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 15 + 6 = 0. Let g = 47 + p. Suppose 5*b - g = 4. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*a + 23 = 3, -2*w + 2*a = 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*q + 2 - 2 + 2*q + (0 - q + 0)*(-2 + 3 - 2) - 1 + 1 + q - 4*q - 22 + 22.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1351089 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d + 4. What is the derivative of 16*q**2 + 6 + 25*q**2 + 25 - 62*q**d wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3873164 is divided by 3997?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 193. Let g be y(28). Suppose 0 = 2*q - 4*m - 22, -5*q - g = 5*m + 2. Solve -3 + 12 = -q*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1044703397*l**3 - 397*l**2 - 777059*l.\nAnswer: -6268220382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106 - -105) + (-6 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 57*z + 140*z - 44*z**4 - 2*z**2 - 81*z - 4 to v*z**3 + p*z**2 + y*z + d + b*z**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -5. Let i = -10.9976 + n. What is i rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**43)**44)**20 assuming o is positive.\nAnswer: o**37840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1.0697501.\nAnswer: 2.1395002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1273 - -1272. What is the nearest to -0.1 in u, 5, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18599376 to the power of 1\/2, to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 90 times 0.05\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7067*c**2 - 4695*c**2 - 3203*c**2.\nAnswer: -831*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39253*k + 253680*k + 1618135*k + 1196636*k.\nAnswer: 3107704*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 3*v**2 + 1. Let q be b(-2). Let l = 7 - q. Suppose -l*j - 3*o + 67 = 0, -4*o - 2 = -j + 4. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.95 - 35.95. Which is the nearest to -71? (a) j (b) 0.5 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -22, -31, -44, -61, -82?\n\"Answer: -2*s**2 + s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fisf when four letters picked without replacement from {e: 3, i: 1, g: 2, s: 1, f: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 632\/395 - (-1)\/(3\/(-3))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = b - 4*k, 9*b - 8*b - 5*k = 23. Let x be 310\/6 - (-42)\/b. Solve 55*a - x*a = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1261146 and 52\/9.\nAnswer: 3783438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.702 to one dp.\nAnswer: 79.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/2*9\/6*(-564)\/(-2538). Solve 9*t**f + 3\/8*t**3 + 351\/8*t - 507\/4 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 92*p + 14. Let h be q(5). Suppose -4*r - 2*r = h. Let t = r + 82. Solve 3*k + t*w = w + 9, k + 4*w = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/3 + 22*b**4\/3 - 4*b**3 - 148*b**2\/3 - 182*b\/3 - 22 = 0. What is b?\nAnswer: -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 5. Let h = -87 + 82. What is t(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 = 0, d - 2*b = 53 - 14. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 40, 67, 96?\n\"Answer: n**2 + 22*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000274662 rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1325\/(-4)) + (-3)\/12. Suppose -4*s + n = 110. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.4 + 24.57. Let v = 3.9 - n. Let b = 0.63 - v. Round b to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2426075317\/1008 + 2406821. Let l = h - 3\/112. Which is greater: 5\/7 or l?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjyjjjjyyjy. Give prob of picking 4 j.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5420 (base 6) to base 10\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 12\/85, 2, 0.3, 1\/2, 227, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -220, -345, -470, -595?\n\"Answer: -125*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 11\/5)\/((-2)\/(-5470)). Suppose 42*f = 46*f - q. Suppose -a + 147 = -3*t, 3*t - f = -4*a - 4. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8.05. Let m = 0.95 - a. Suppose -2*g - g - 15 = 0. What is the nearest to m in 3, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/(-10) - 312\/(-30) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 - 84. Let i(n) = 2539*n - 20167. Let d be i(8). Calculate the highest common factor of d and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and 4?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2253, 60, 4, -2 in decreasing order.\nAnswer: 2253, 60, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 22\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108*d - 1187 = -60073 - 3162 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c + 2*q = -4, 3*q = 4*c + 22. Let p = 3 + c. Let t be (10\/(-4))\/(p\/2). Solve 0 = i - 5*o + 3, 2*i + t = -2*o - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 474, 488, 500, 510, 518?\n\"Answer: -u**2 + 17*u + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248\/6863 or 1?\nAnswer: 248\/6863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -207*i**3\/4 - 3387897*i**2\/4 - 552352*i + 8183 = 0. Calculate i.\nAnswer: -16366, -2\/3, 1\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847 - 8028 = 348*q + 4303 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/10 in -14.59, 0.1, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (558\/21)\/(3 - 20\/7).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, p: 8}. Give prob of sequence npp.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/3 - i**2 + 2*i + 65. Let x(h) = 99*h + 54. Let u(t) = -27*w(t) - x(t). Let p(o) = 2*o. Calculate p(u(g)).\nAnswer: -90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-6))\/(-6))\/((-2)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3659 + 3699. Calculate the remainder when 3475 is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3337 - 971*d**2 - 6861 + 3434 wrt d.\nAnswer: -1942*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.994 rounded to 1 dp?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*j + 148 = 0, 0*n - 4*j = -2*n + 84. Calculate the remainder when 93 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11392*a + 79730. Give l(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**3 + 30*w**2 - 53*w - 78. Let k(q) = -q**3. Let a(y) = -g(y) - 10*k(y). Calculate a(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3237374 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/24 and -55\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from dddddddddddad.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3148\/3 - -1041. Which is greater: p or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - m + 1. Let r be i(0). Suppose -352*l + 39 = -349*l. Differentiate 48*d + 14 + l*d**3 + r - 48*d with respect to d.\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488483 and 1885792.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61335 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1032140 + -1?\nAnswer: 1032137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h - 28. Let p be x(7). Suppose -33*v + p*v = -3048. What are the prime factors of v?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1862, 3654, 5372, 7016, 8586, 10082, 11504?\n\"Answer: -37*z**2 + 1903*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -5*j**3\/3 - 3*j**2\/2 + 2*j. Let g be b(-8). Calculate the common denominator of 2 + g\/16 + -3 and 97\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*x = 4336 - 7248 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 16284?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 737522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95891*o**2 + 24006*o**2 + 24026*o**2 + 23989*o**2 + 23965*o**2.\nAnswer: 95*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21110531 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/12 + 17*i. Let r(n) = 35*n. What is r(g(o))?\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 3. Suppose 0 = -x - a - 2, -a + 5*a = -2*x + 6. Let d(c) = c**2 + 7*c + 9. Let z be d(x). Suppose -z = 3*f - 0. Determine t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 2*r**6\/15 + 2*r**5\/5 - r**4 - 113*r. Factor s(g).\nAnswer: 4*g**2*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -623, -1235, -1847, -2459, -3071, -3683?\n\"Answer: -612*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 4*j - 3. Suppose -i + 20 = 9*i. Determine s(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*b + 119*b - 3976 = -124*b. List the prime factors of b.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:21 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -774a (base 13) to base 3\nAnswer: -211210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + t = 70, m + 6*t + 35 = 4*t. Let q be (7\/((-70)\/12))\/(13\/m). Suppose 0*o = 5*o - 5. Which is greater: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let t(v) = -53 - 11*v + 36 + 4*v**2 - 3*v**2. Suppose c - 28 = -k - 3*c, c + 8 = k. Let f be t(k). Let r(d) = d + 5. Calculate f*q(i) + r(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 61c1?\nAnswer: 61c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*l = 138*l - 108 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.7 - -7. Let y = -0.8 + 1.4. Let f = y + -0.1. What is the nearest to 0 in f, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 2. Let s(v) = -22*v - 128. Let k(u) = s(u) - 6*w(u). Let x be k(-16). Which is smaller: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -121*c**2 - 11122*c + 391. Calculate l(-92).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 833.3985 years?\nAnswer: 0.8333985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -151249 divided by 217\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 459*i + 112. Let o(w) = 229*w + 61. Give -6*a(f) + 11*o(f).\nAnswer: -235*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 18. Let p(g) = -3*g**2 + 11. Let j(m) = -5*m**2 + 23. Let s(x) = -6*j(x) + 11*p(x). Let h(t) = 2*n(t) + 3*s(t). Differentiate h(r) wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 7*l**4\/24 - 5975*l**2. Let q(a) = 14*a. Determine -7*f(p) + 4*q(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2\/9 (c) -0.3 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 104786947.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 23 - 38 + 49 - 13*u**2 + 35 + 15*u**2. Let q(x) = 3 - 3 - 5*x**2. What is q(c(n))?\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23068 and 584?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015818 rounded to 7 dps?\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1120103 rounded to 4 dps?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p - 5*b + 28, -2 = p - b. Suppose 0 = p*v - 1491798 - 8581512. Suppose -6*r = -12417770 + v. Round r to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6351 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 14*h**2 - 16*h - 15. Let q be j(-15). Suppose q = -5*w, -5*v = -4*w - 0*w + 55. Let t(d) = -d**2 - 12*d + 3. Is t(v) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, c: 2, h: 10}. What is prob of picking 2 h, 1 c, and 1 o?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*x - 1. Let q be 1 + 7\/(21\/x). Suppose 0 = -4*z + q*z + 8. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(6\/25))\/d))\/d**25 assuming d is positive.\nAnswer: d**(-594\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 110. Let t(n) be the second derivative of n**4\/12 - n**3 + 2*n**2 + 43*n. Give t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (820\/(-18655))\/((-6)\/(-63)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**3 - 3*g + 2. Let o(d) = -7*d - 1. Let w be o(-1). Suppose 0 = -n + w*n - 10. Is 15 a factor of c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:04 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301 (base 5) in base 2?\nAnswer: -111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*(-612)\/255.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - d = 7, z - 10 = -3*z - 2*d. Let q(u) = -1. Let j(b) = -b - 5. Let o(n) = -j(n) + 3*q(n). Let p be o(z). Solve 7*w + p = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 35. Let y be 24\/(-3) - (7 + -5). Let p be a(y). Let o be 19\/(((-8)\/(-40))\/(1\/p)). What is the highest common divisor of o and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 19*l**3\/3 - l**2 - 1490. Let n(g) = -95*g**2 + 11*g. Calculate 2*n(s) + 11*r(s).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (60 - 0) + (0 - -9 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**6 + 5\/3*p**3 - 1\/42*p**7 + 0*p**4 + 0*p**5 + 0 + 3*p**2 + 0*p. Differentiate d(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121021 + 2?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 58689.\nAnswer: 176067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1668792777 to the nearest integer?\nAnswer: 40851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21013 is divided by 5242.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3703406*f - 43*f**2 - 3703406*f.\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**4 + u**2. Let q(n) = 11*n**4 + 2*n**2 - 32*n. Let s(o) = -q(o) + 2*v(o). Find the second derivative of s(w) wrt w.\nAnswer: -156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*m - 2, -4*l + 3*m + 1 - 2 = 0. Solve 0 = 2*h - l*k - 10 - 0, -h = -4*k - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2 - 2)*(1 - 2 - 1)*(-3 + 1 + 4 + (4 + 0 + 4)*(-3 + 4 + 2)).\nAnswer: -104*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - ((-3 - -14) + -5)) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -40. Which is the second biggest value? (a) -0.2 (b) -3 (c) g (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 4*r**4 - r**3 - 4*r**2.\nAnswer: r**2*(r - 1)*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 284 = 4*f, 0 = 3*f + 12*h - 17*h - 184. What is the first derivative of 87*i - 38 + 17 - i**4 - f*i - 92 wrt i?\nAnswer: -4*i**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s - 2*s + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**4\/60 + 2*d**2\/5 - 20*d + 3. Factor b(l).\nAnswer: -(l - 2)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -1)*(8 + -7). Let f(p) = -6 - 2*p - 3*p + 4*p. Calculate f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 864, 3640, 8594, 15990, 26092, 39164?\n\"Answer: 44*t**3 + 825*t**2 - 7*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaj when three letters picked without replacement from jjamjamajajm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1.43246\nAnswer: -4.29738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/320*2\/(3*-2). Let n(v) be the second derivative of -2*v + 0*v**2 + f*v**4 + 1\/12*v**3 + 0. Factor n(z).\nAnswer: z*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 3*l + 2*j + 53, j - 26 = 2*l. Let s be 3*(3 + l\/9). Solve 0*a - 21 = 4*n - a, 4*n - s*a + 36 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*-5*(sqrt(2880)*3 + 5 + (-3*(1 + sqrt(2880)) - sqrt(2880))).\nAnswer: -38 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 264665.\nAnswer: -6881290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25520 = -5*m, -5*v + 7*m + 31883 = 5*m. Suppose 19*o = 2*o + v. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.75 - 7.752. Let p = 0.498 - f. Which is bigger: 2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931) - (sqrt(931) + 1)**2 - sqrt(931)))*-5 + 1 - (4 + (-1*sqrt(931) - sqrt(931)) + 4)**2.\nAnswer: -8447 + 119*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-2 - (3 - -1)) + 8 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-20))\/(102\/85). What is the nearest to 2 in 1, -1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*z**3 + 21*z**3 - 6*z**3.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/((-109650)\/157828) + 6127\/473 + -13?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1320*z**2 - 4*z + 11. Let t be m(4). Suppose 4*b + 4*r = 42248, 9*b - 7*b - t = r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766324 is divided by 5555.\nAnswer: 5489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbb. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 544 + -541. Find the second derivative of 224*y**b - 77*y**3 - 19*y**2 - 69*y**3 + 53*y - 76*y**3 wrt y.\nAnswer: 12*y - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g + 2 + 0 - 2.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 29046930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348343 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 10\/9.\nAnswer: 0.4, 10\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*n - 2*f + 1 - 7, -3*n = 6*n + 6*f + 66 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 1\/6*k**4 + 121*k**2 + 17*k + 22\/3*k**3 + 0. Determine a, given that b(a) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374215661 divided by 139?\nAnswer: -2692199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -58.435?\nAnswer: 53.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 8*o + 5. Suppose -2*u = 4*x, -2*u + 8*x + 15 = 7*x. Calculate v(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-12) + 6 + (-1)\/4. Solve -m - 2*i = 3, o*m = 2*i + 11 - 38 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -4*j + 143. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*c**3 + 3\/4*c**2 - 25\/4*c - 1\/4*c**4 - 9\/2.\nAnswer: -(c - 9)*(c - 2)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2287 = -4*g + 5341. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529 (base 11) to base 8.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 182 + 28 = 0. Let z(n) = -2*n + 105. Find the common denominator of b\/8 - (0 + -2) and z(59).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-4)*(-9)\/108\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -7.3. Let s = u - -12. Suppose 5*v = -28 + 8. Which is the third biggest value? (a) v (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4774 = 2*i - j - 43277, 0 = 4*i + 2*j - 96130. List the prime factors of i.\nAnswer: 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/5 (b) -1318 (c) -4\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 - 4. Let z(x) = -80*x**2 + x + 40. Determine -6*o(q) - z(q).\nAnswer: 44*q**2 - q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15514.95 + 15514. What is the third smallest value in -1, -3, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90413.889 rounded to the nearest ten?\nAnswer: 90410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-31 - -45) - 81 - 5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 395 + -26\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1 + 31)\/(2 + -1). Suppose -3*v = -t + 40. Let y be v + 164\/52 - (-1486)\/(-26). Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003918 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4518 and -101\/22.\nAnswer: 49698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4)*(-98)\/(-35). Let y be (k\/5)\/((-14)\/(-70)). Let x be (2\/y)\/(260\/140). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 8*t**2 + 6*t + 5. Let l be v(7). Let q = 4 - l. Let m be ((-26)\/q - -3)*-6. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 679812*h**4*t + 14*h*t - 2*h - 172377*t + 76 wrt h?\nAnswer: 2719248*h**3*t + 14*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/((-4)\/(-6)))\/((-153)\/163914)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/15)\/(6\/(-30)). Let v be h*(-15)\/(-12)*2. What is the units digit of (v\/(-20))\/(1\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7335, 7337, 7339, 7341, 7343, 7345?\nAnswer: 7347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t - 3. Let w(s) = s. Let u(a) = j(a) + 5*w(a). Calculate u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084028844 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 3. Let j be z(-2). Let x = j - 34. Let q = 45 + x. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.98 + 2.6. Let m = -0.08 + 0.06. Let z = m + d. Which is the biggest value? (a) -0.3 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + w**2 - 3 + 3*w + 0*w**2 + 3*w. What are the prime factors of q(-9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 445\/1631 + 3\/233. Let t be (-11)\/56 + (4 - 62\/16). What is the nearest to t in m, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or 12.73?\nAnswer: 12.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -489.960504 rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -301, -265, -211, -139, -49, 59, 185?\n\"Answer: 9*c**2 + 9*c - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + x - 434, -38*n - 5*x + 298 = -36*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 - 5*m**3 + 8*m**2 - 25*m + 10. Let a be h(14). Solve 2*u + a*v = 7, -3*v - 22 = 3*u - 5*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21*(-7)\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3 - 5135*b**2 + 8*b**3 - 4830*b - 23*b**3 - 2*b**3 + 5151*b**2 wrt b?\nAnswer: -120*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3200 = -157*i + 117*i. Calculate the remainder when 299 is divided by i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - 445?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*2*sqrt(6)\/sqrt(3).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*c - 3*d + 91, 5 = c - 5*d. Calculate the least common multiple of c and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90092 is divided by 5938?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 bigger than -111885.696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*z = 32, x = 3*x + 4*z + 16. Does 22 divide 11\/308*x + (-156)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28d (base 14) to base 10.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f + 18. Let o(k) = 2*k**3 - 21*k**2 + 12*k - 24. Let y be o(10). Let i be h(y). Are -1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*s + 2*w, 5*s - s + 2*w - 8 = 0. Solve 20 = 5*i, 0 = s*c - 4*i - 0 + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 314, 705, 1252, 1955, 2814?\nAnswer: 3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 2. Let f(n) = n + 1. Suppose k = -k - 3*l + 14, -2*l = -4*k + 12. Determine k*a(p) - 10*f(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-128)\/(107\/(-18) + 6). Let o = -16174\/7 - w. Is -6 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 greater than or equal to 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4090251, -4090253, -4090255, -4090257?\n\"Answer: -2*q - 4090249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 362 - 278*r + 279*r)*(-3 + 2 + 2)*(2 + 0 + 3).\nAnswer: 5*r - 2120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153044 is divided by 444?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -518.\nAnswer: 1\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*k - 5 - 13, -f - 4*k + 22 = 0. What is the highest common divisor of 110 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + 0.2. Let z = -238 + 237.5. Put b, z, 3\/2 in increasing order.\nAnswer: b, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -2, -0.3, 1\/449, 1, 0.4?\nAnswer: 1\/449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + 0.38. Which is the closest to -1? (a) u (b) -0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-32))\/(711\/(-948)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1353, 2702, 4051, 5400?\n\"Answer: 1349*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o - 536 = 166 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - -57 - (-1 - -5)) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2\/2 - 210873*r = 0.\nAnswer: -140582, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**4\/8 - y**3\/3 - 4*y**2. Let z be 6*4\/(-30)*5. What is the remainder when o(z) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szzszzvizavlisi. What is prob of picking 1 l, 1 a, and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 9085948?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -51*k**2 - 27*k + 28. Let g be z(1). What is the units digit of (116 + 1 - 3)*g\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -781 + 16403\/21. Let r be 3\/2*10\/3. Which is the nearest to x? (a) r (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 161\/42 - (-80)\/480. Determine d, given that -9*d**3 + 3 - d**g - 6*d**2 + 7\/2*d + 3\/2*d**5 = 0.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*j**4 + 357*j**3 - 18*j**2.\nAnswer: 3*j**2*(j + 6)*(20*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f**2. Let n(u) = -32797308*u. Determine b(n(k)).\nAnswer: -16134951180702960*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 3, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - r**2 + r**5 + (6*r**4 - 9*r**4 + 6*r**4)*(66*r - 19*r - 23*r) + 6*r**5 + 8*r**4 - 8*r**4.\nAnswer: 79*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {c: 13, e: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12*z - 898203 = -15*z, -4*l + 5*z = -1796395. Round l to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25780.143 to the nearest 10.\nAnswer: 25780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5))**(3\/26) assuming f is positive.\nAnswer: f**(6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 93*y - 52. Let a(l) = 6*l**2 - 93*l - 35. What is -3*a(w) + 2*z(w)?\nAnswer: -6*w**2 + 93*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(2080\/(-10))*(-6)\/5*-2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 1. Let g(s) be the third derivative of -5*s**4\/24 - 11*s**3\/2 + 2*s**2 + 3. Let l be g(-6). Put -1, 4, p, l in increasing order.\nAnswer: p, l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v - 3. Let t(o) be the first derivative of 5*o**3\/3 + o + 71. Give b(t(s)).\nAnswer: 55*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58762.\nAnswer: 2, 11, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 26*m + 2. Let u(q) = -4*q - 134 + 250 - 116. Give p(u(f)).\nAnswer: -104*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 7*y + 1. What is f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 157*u - 152*u - 284, 4*s = u - 60. Calculate the highest common factor of 256 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 541*q*r**3*v**3 + 6*q + 2*r**3*v**3 + 6*r**3*v + 7*r**2*v**3 + 77*r*v**3 - v wrt r?\nAnswer: 3246*q*v**3 + 12*v**3 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (0 - 112) - 13. What is the greatest common divisor of 6528 and d?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12786223 in -0.3, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62.31 and -34.33.\nAnswer: -2139.1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1153, -1157, -1163, -1171, -1181, -1193?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674853 is divided by 168711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 - 2*h - 4. Give g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5984644235.\nAnswer: 5, 1196928847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 412\/9*y + 272\/9 + 2\/9*y**3 + 142\/9*y**2.\nAnswer: 2*(y + 1)*(y + 2)*(y + 68)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 5*m + 96. What are the prime factors of (m\/9)\/(-1 + 1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/1 - 3. Let o = -2703 - -2701. What is the fourth smallest value in 4, o, -5, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7413063 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 13 - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384*p**5 - 180*p**2 + 0 + 4 + 9*p + 2745*p**5 + 190*p**2 - 10*p wrt p?\nAnswer: 187740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o. Let c(f) be the first derivative of f**3\/2 - 5*f + 1. Let i(g) be the first derivative of c(g). Calculate m(i(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 - 4*h - 5. Let i(s) = -s**2 - 2*s + 3. Let c be i(-4). Let y be z(c). What is y rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1127823610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6183 and 21605463?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r**3 + 17*r**3 + 35*r**3 + 6*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69904023 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -108, -223, -380, -579?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -6057*z**5\/20 + z**4\/4 - 268*z**2 - 4795*z - 2. Find the third derivative of m(a) wrt a.\nAnswer: -36342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -9\/24481343 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - (-63)\/12. Suppose -a*h + r = -15, 2*r - 9 = -2*h + 3*r. Suppose -2*u = -x - 7, 2*u - x - 1 = h*x. Solve -u + 3 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -184, -469, -988, -1819?\nAnswer: -3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*-2)**2 - (sqrt(425) + (sqrt(425) - (sqrt(425) + -2*sqrt(425) + 0)))**2.\nAnswer: -3553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 39, -2 in increasing order.\nAnswer: -2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 8 = 0. Solve -2*b + 4 = -h*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8899, 17810, 26721, 35632, 44543?\n\"Answer: 8911*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.16697cm in kilometers?\nAnswer: 0.0007016697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 144*t**2 - 4*t. Let j(y) = 19 + 144*y**2 - 19 - 5*y. Let o(q) = -5*j(q) + 6*s(q). Is o(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -29 - 59. What is the hundreds digit of k\/3*(-3 + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (21 - (7 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*v + 1465 = 4758 + 3417 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1117 - 39098\/35. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + k + 2159, -18*m + 13*m - 3591 = -2*k. Which is smaller: m or -718?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + (-1 - 0\/(2\/(-1))). Suppose x*j - 652 + 160 = 0. Differentiate -73*q**3 + j + 33*q**3 + 41*q**4 + 40*q**3 wrt q.\nAnswer: 164*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 m when four letters picked without replacement from nmmnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 23 - -9 - 38\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:55 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -1 - (-46 + 7 + (-27 - -133)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 11. Let l be i(0). Let n = l - -16. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/198 and 1\/384384.\nAnswer: 1153152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 535713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123264\/360)\/(-107)*55\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -g - 2*k - 30, g + 7 = k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((f*f**(1\/6))\/f)\/f*f)\/f)\/f)\/f)\/((f*f*f*(f*f**15)\/f)\/f*f)*f**(-4)\/(f*f**(-3\/4)) assuming f is positive.\nAnswer: f**(-301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (6 - 10 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/4 - (-39)\/(-26). Let c be -1*((-10)\/(-6))\/u. Put 0, -3\/5, c in decreasing order.\nAnswer: 0, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -40 - (9 + -1)) + -2 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8301, -8265, -8189, -8055, -7845, -7541?\nAnswer: -7125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/60 - m**4\/24 + m**3\/2 - m**2\/2 + m + 237. Let s(y) be the second derivative of g(y). Give s(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 y, and 1 s when four letters picked without replacement from {s: 1, y: 5, g: 6, b: 5}?\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4800 = o. What is the tens digit of (3 - (-95)\/(-35)) + o\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63141729, 126283457, 189425185, 252566913, 315708641, 378850369?\nAnswer: 441992097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942472 divided by -5.\nAnswer: 942472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 849466 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000 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: Rearrange (0*t**2 - 5*t + t + 2*t**2)*(3*t - 10*t + 5*t) to the form i*t**2 + r*t**3 + g + c*t and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 14 = -n - 2*o, -5*n - 5*o = 25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244 + 5126\/21. Let m = 27 - 29. Which is the closest to m? (a) 4\/5 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1*42\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.6 + 19.59565. Round s to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 116. Calculate the highest common factor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + -3 + -1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35\/54 (b) -8 (c) -3\/7 (d) 3\/5 (e) -0.3 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*q = 80*q - 20650 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 46*v - 45. Calculate s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 2898*n + 5784.\nAnswer: 3*(n + 2)*(n + 964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42077587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1068*y**3 + y**2 + 68*y + 206. List the prime factors of v(-3).\nAnswer: 7, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.066, 1\/4, -5, 0.1?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 = 6*g. Suppose 0 + g = u. Solve -u*x = x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/195, -37, 5 in increasing order.\nAnswer: -37, -0.1, 2\/195, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7 + 11*m - 24*m + 5 in the form d*m + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19*h**2 - 288*h + 15. Let z be v(-15). What is the highest common factor of z and 1050?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 57433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(8 + -6))\/(4\/8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(10\/9)\/k)*k\/(k\/(k*k**(-14)))*k*k**(-10)\/k*k**0 assuming k is positive.\nAnswer: k**(-199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1847709?\nAnswer: -7390836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26648 is divided by 2382.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5094955 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, p: 13, j: 2}. What is prob of sequence ypp?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 - 4*o**2)*(2*o**2 + 3*o - 3*o) + 8*o**4 - o**4 - o**4.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -170918 divided by 1\nAnswer: -170918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 595 and 14077735.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1328*f**3 + 6*f**2 + f - 7. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3*n**5\/25 - 3*n**4\/10 + n**3\/5 + 3*n**2\/5 - 22. Determine f, given that b(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 1051 - 845 - p**2 - 785 + 2463 - p.\nAnswer: -p**2 - 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 17. Let l = r - -45. Let n = -44.7 + 45. Which is the third smallest value? (a) l (b) 7 (c) n (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 21.4. Let h = -0.6 - n. Let d be 1\/(-5) + 34\/70. What is the nearest to -1 in h, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123344*j**5 + 9*j**4 + j**2 - 1328403*j + 2?\nAnswer: 7400640*j**2 + 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = q + 24. Let x be 2\/q*((-8)\/12)\/2. Solve -2\/3*y**2 + 2\/3*y + x*y**3 - 2\/9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 17. Let u = k - -23. What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1\/4)\/n*n*n*n)\/n)\/n)\/n)**8*n**0\/n*n**3\/n*n*((n\/n**(-2\/7))**(-1\/62))**20 assuming n is positive.\nAnswer: n**(-90\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - 2) + 5874 + -5801.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71.1 - 40.1. Which is the third smallest value? (a) -1 (b) d (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2378601\nAnswer: 713580.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47100, 94160, 141220, 188280, 235340?\nAnswer: 282400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1192*s**4 - 127*s**2 + 3*s?\nAnswer: 28608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(825)*1 - sqrt(33)))\/(sqrt(275)*-1) + ((sqrt(3300) + -3*sqrt(3300) + sqrt(3300))\/(-1*sqrt(11)*-3))**2.\nAnswer: -sqrt(3) + 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65217.\nAnswer: 3, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 16*g**2 + 24*g + 15. Let f be i(15). What is the highest common divisor of 60 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3209112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257 and 24122020.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159431509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -76?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4416029532 to the power of 1\/3, to the nearest integer?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 38647767.\nAnswer: 1120785243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13508 (base 14) in base 3?\nAnswer: -2102100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 218*m**2 - 12*m + 3. Is z(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4564871\/375 + -12173. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/8)*y)\/y)**(-4\/3)\/(y\/(y*y\/(y**(17\/4)\/y*y))*y**(9\/7)) assuming y is positive.\nAnswer: y**(-535\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a - 1. Let h be j(4). Suppose 10 = -r - 2*y + 26, -2*r - 3*y + h = 0. Calculate the lowest common multiple of r and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 14. Let z(q) = -q - 4. Let w(b) = c(b) - 4*z(b). Let h(l) = -14*l**2 - 11. Let g(x) = -5*x**2 - 4. Let p(s) = 11*g(s) - 4*h(s). What is p(w(m))?\nAnswer: 9*m**2 + 12*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:19 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from rurrrrrrrurrrrrrrrrr.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 - -258\nAnswer: 257.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/210 - 96*k**2. Suppose n(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*a - 1047, 0 = 5*r - 5*a - 2597 - 38. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 95 - (438 - 374)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 + 47*a**2.\nAnswer: 47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 26. Let z be 2\/(-10) + (-48)\/(-15). Sort b, z, -2 in increasing order.\nAnswer: -2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1409*n**2 + 14*n + 22. Let i(r) = -470*r**2 + 5*r + 8. Determine -11*i(o) + 4*y(o).\nAnswer: -466*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1642\/57311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3 - (-177)\/(-279)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 644.9 - 645. What is the second biggest value in a, 3, -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 15) in base 5?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:14 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-2)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356*v = 1359*v + 21, v = -5*a + 3. Solve -a*d + 4 = 3*b + 2, 2*d - 2 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) 4 (b) 0 (c) -4 (d) -0.3 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 1466.\nAnswer: -5\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 + 197. Solve 0 = j*x - 6*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -18*b**2 - 414. Let v(w) = -15*w**2 - 415. Calculate -6*t(n) + 7*v(n).\nAnswer: 3*n**2 - 421","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d + 1. Suppose 0 = -z + 16*z - 60. Suppose z*v - 3*v = 5*m + 26, -4*m = -3*v + 23. Calculate o(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2716, -10858, -24426, -43414, -67816, -97626, -132838, -173446?\n\"Answer: c**3 - 2719*c**2 + 8*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 108\/45*10\/(-3). Let t(n) = n - 1. Let r(m) = -15*m + 7. Let j(g) = 2*r(g) + 22*t(g). Let c be j(f). Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-65)\/(-30)))\/(((-92)\/345)\/(4\/10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Let m = a - -8. Suppose -2 = -2*u, 0 = -m*j - 4*u + 9. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15004473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9572048)\/299552 - (-2)\/(-44).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05467582 - 0.1\nAnswer: -0.04532418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14 + 26 - 16*w + 6*w. Is 25 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0 (c) 54\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9915*u**2 - 11*u**3 - 9915*u**2.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 64 = 3*g - 5*g, -125 = -4*g - 5*w. Suppose 7*l - g = 2*l. Let n be (-3 - -7)*(-1)\/l. What is the closest to 0.1 in n, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 7:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1069 (base 10) to base 4.\nAnswer: 100231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*d**2*n**2*r**3 + d**2*n**2 + 8*d*n**2 - 2*n**2*r**3 - 3*n**2*r wrt d.\nAnswer: 80*n**2*r**3 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 30 = -32*k. Suppose 4*d = w + 38, -5*d - 2*w + 3 + 51 = 0. Let m = d - k. Solve -c - a - m*a = -8, 0 = 3*c - a - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (17 + -5) - -23.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + x + 4 = 0, 2*y - 2*x + 3*x - 8 = 0. What is the smallest common multiple of y and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let g(w) = 2828 - 2828 - 9*w. What is g(o(q))?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 162*j + 1691. Calculate the remainder when d(-7) is divided by 115.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 59*n + 1239. Determine d(-22).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 less than -2.1?\nAnswer: -747.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -364270*l*t**3 - 2*t**3 - 2*t**2 + 163*t + 30 wrt l.\nAnswer: -364270*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.19 - 22. Let y = u + -0.19. Which is the nearest to y? (a) 10 (b) -3\/2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)*6)\/(sqrt(10)\/(sqrt(5)*-2)).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5\/5 - 1977*b**4\/5 - 172713*b**3\/5 - 506307*b**2\/5 - 502368*b\/5 - 33360 = 0.\nAnswer: -556, -100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402 - 19 - 979 - 1587)*(-3*n**2 + 2*n**2 + 4*n**2).\nAnswer: -8961*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6101, 12192, 18279, 24362?\n\"Answer: -2*b**2 + 6097*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8943.\nAnswer: 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*f + 33, -15 = 9*f - 4*f. Let o = -1 - -4. Solve -11 = c - 0*c - o*m, 0 = -3*c - 5*m + i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/7)\/(54\/(-14) - -4). Are 21 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtt when three letters picked without replacement from {f: 6, t: 4, i: 1, w: 2, h: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 176 = 2*g, 86 = 4*g + 2*q - 256. What is the remainder when (44\/8 - 1)*g\/3 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2726, -2738, -2752, -2768, -2786, -2806, -2828?\n\"Answer: -s**2 - 9*s - 2716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 15974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**21\/(o**(-1\/3))**(14\/5) assuming o is positive.\nAnswer: o**(-931\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3\/(-1176)*3316 - (-11)\/(-22)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-3)\/(-1))\/(-1). Let q(s) = 216*s**3 + s. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344250 and 91800.\nAnswer: 1377000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/338808 and 125\/2736?\nAnswer: 2032848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100011001100001011011001 (base 2) to base 9\nAnswer: 18320182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 15. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 4. Let h(g) = -10*g - 12. Let u = 748 + -741. Determine u*k(v) + 2*h(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s - 4. Let v(w) = -w**3 + 4*w**2 + 6*w - 2. Let q be v(5). Suppose -7*m + 3*m + 8 = -2*b, 0 = 5*m - q*b - 12. Calculate t(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147492 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*-2 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -7*u**5\/2 + 229*u**4\/2 + 87*u**3\/2 - 673*u**2\/2 - 328*u - 66 = 0.\nAnswer: -1, -2\/7, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227620 + 382615 = 127*p. Is 47 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 2 = -25*h. Solve -3*x - 17 = h*d, 5*d - 2*d + 3 = 3*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6080*m**2 - 112*m**3 + 41492*m**4 - 35796*m**4 + 112*m**3 wrt m.\nAnswer: 136704*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from gmclmah?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3))\/((o\/(o*o**(-10)))\/o))**(-17)*(o*o**(-1)*o)**(-12\/7)*(o*o\/(o*o*o**(-2\/3)))**(-1\/43) assuming o is positive.\nAnswer: o**(167299\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 1074, 3634, 8622, 16848?\nAnswer: 29122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 689049167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 119717 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 43153*s**2 + 10699061*s\/4 + 82910275\/2.\nAnswer: (s + 31)**2*(s + 172550)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duuu when four letters picked without replacement from {a: 1, k: 1, d: 2, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**22*l**(1\/11) assuming l is positive.\nAnswer: l**(243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2795.2254 - 2795. What is n rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 6160*p + 4743200.\nAnswer: 2*(p - 1540)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.69 + 2.69. Which is the biggest value? (a) 16 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*130\/156?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and 60?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 3*u**2\/2 - 43*u - 185. Determine s(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/22*-7 + -11)*0 - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -359\/2 + 361\/4*z - 1\/4*z**2.\nAnswer: -(z - 359)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/49*2)\/((-516)\/(-22575)) + (-144)\/32\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512268 and 6054.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let h(p) = 4*p**2 - 569*p - 5436. Calculate the smallest common multiple of h(-9) and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:14 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3549 + 3549. What is the fourth smallest value in 5, l, -1\/2, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 7*j + 4. Let v(k) = -k**2 - 7*k - 3. Let z(r) = 4*v(r) + 3*w(r). Find the second derivative of z(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**6*q)\/q)*q**29\/q assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-8))\/((-12)\/(-48)))\/((-119)\/34).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1937*k - 1674 wrt k.\nAnswer: -1937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(4*a - 1 + 1)*(1681 - 806*a - 1681).\nAnswer: 6448*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -202340, -202348, -202356?\n\"Answer: -8*w - 202332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (2 - 4)) + -3 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as 282\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-231) + 3\/(-7)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1.3, -4\/31, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 323*u - 969. Let q be h(3). Solve -5*x - 157 + 182 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 + 3*m**3\/2 - 5*m**2 + 7*m. Let y be c(7). Sort -1, -3, y in ascending order.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 411*d**2 + 483533 + 410*d**2 - 483533 + 5*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*l = 1076, v - 1058 = 3*v - 2*l. Let y be (-4)\/((-41634)\/(-10389) + -4). Let q = y - v. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-628)\/(-471)*99\/2. Calculate the greatest common factor of 44 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2 + 4. Let w(q) = -11*q**3 - 4 + 12 - 10 - q. What is the tens digit of w(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3945, -7901, -11861, -15825, -19793, -23765?\nAnswer: -27741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742455?\nAnswer: 5, 11, 13, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11*4 - 1\/(-1). Suppose w = 3*f - 3. Calculate the greatest common divisor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + -3 + sqrt(432)*-1.\nAnswer: -12*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364*r + 10023 - 72767 = 0 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -446947002\nAnswer: -446947002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87756466?\nAnswer: 2, 7, 67, 93557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r - 3*m - 129, -370 = -5*r + 4*m. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 165\/198 + (-3938)\/(-12). Calculate the highest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56303 - 17*v**3 - 112382 + 56078.\nAnswer: -17*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7763*m**2 - 2*m + 42. Let a(h) = -11645*h**2 - 3*h + 66. Calculate 7*a(c) - 11*u(c).\nAnswer: 3878*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*o + 120. Let y = o + 34. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 5. Suppose -v - 4*v = -2*z + r, 5*z - 5*v - 40 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -16. Let z(t) = t**2 - 2*t + 3. Let v be z(f). Let x = -931 + 939. Put 2, v, x, -2 in decreasing order.\nAnswer: x, v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1721 + -83959?\nAnswer: -82238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873*b - 400*b - 473*b + 5128*b**2.\nAnswer: 5128*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/35, -3 in ascending order.\nAnswer: -3, -2\/35, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 + 3. Let q(i) = -9*i**2 - i - 6. Calculate -3*q(s) - 5*z(s).\nAnswer: 2*s**2 + 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20085 is divided by 9991.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1442445.\nAnswer: 2\/480815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541 (base 11) to base 5.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88100.99l?\nAnswer: 88100990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 41266 = 15185 - 41611. Is 149 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + a**2 + a - 2. Let m = -3 - -5. Let q be i(m). Let o be 1\/2*q\/10. What is the smallest value in o, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -58*y. Let v(c) = c. Calculate p(v(g)).\nAnswer: -58*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -880 - -932. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (-5 + 11 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58549 is divided by 673?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3247 = 3*v - 3217 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9)\/a)\/a*a\/(a*a**8*a)*a*(a**1)**(1\/16))**(2\/5) assuming a is positive.\nAnswer: a**(-303\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 10\/8*6\/(-15)*-150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5075210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 799\/97 + -121223\/13386. Find the common denominator of 115\/12 and d.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 2, w: 2, c: 1, v: 2}. Give prob of sequence rv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, 131\/4, -42 in descending order.\nAnswer: 142, 131\/4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:26 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-200)*10)\/(4*4\/384).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 951324888 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 226 - 19*p - 380 + 191 in the form d*p + k and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/5)\/y*y)\/y)**(1\/14))**(-47) assuming y is positive.\nAnswer: y**(141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 50 = 2*b, 0 = -5*b + 19 + 6. Suppose x = -2*s, r - 25 = 3*r + 5*s. What is the first derivative of r - 3 - 3 + 7*n**2 wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 14) in base 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 4.29, 183\/10?\nAnswer: 4.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/5 + 108*p**4\/5 + 116*p**3\/5 - 64*p**2 - 546*p\/5 - 44 = 0?\nAnswer: -1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2072, -1\/3, 42, 2?\nAnswer: 3\/2072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547754449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 271850734 a multiple of 3314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843*y = -1847*y - 4*v - 92, -2*v = y + 49 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {f: 1, w: 4, m: 2, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157313 + -159711.21. Let k = u + 2387. Let c = k - -1.51. Round c to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655798 is divided by 11339.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*o = -7509*o + 55856 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2 = -4*n. Calculate the smallest common multiple of 8 and (n - 5)*(-13)\/13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2912, 2910, 2896, 2864, 2808, 2722?\n\"Answer: -c**3 + 5*c + 2908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002997301 to 5 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562547800 by 3335.\nAnswer: -168680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4 - 3. Suppose 5*r - 61 = 3*n, 7*r - 2*r - 59 = 2*n. Suppose -3*u + y + 4 = -6, 0 = 4*u + y - r. What is the remainder when z is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0 + 1\/2*p**2 - 1\/6*p**3 + p + 0*p**4 + 2\/5*p**5. What is the remainder when 22 is divided by m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 14. Suppose h - 3 = q + 2, 4*h = 3*q + 20. What is the remainder when 41 is divided by b(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1833\/178 + -18\/89. Calculate the common denominator of c and 3 + 1 + 504\/(-64).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5392.01 - -5365. Let n = c + 10.1. Let g = n - -17. Which is bigger: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429130 divided by 10\nAnswer: -42913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3760 + -983. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cinnnnccnnccni. What is prob of picking 1 i, 1 c, and 1 n?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - 205?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooaa. What is prob of picking 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6251?\nAnswer: 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + s**2 + 2 + 15 - s**3. Let p be h(-8). Suppose 12*a - p = 123. Calculate the least common multiple of a and 7.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*y, 29*y - 33 = 34*y - 2*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819168619.\nAnswer: 23789, 76471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1932\/49)\/(270\/(-252))*100\/(-80)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92892 is divided by 683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54253364 and 0.7?\nAnswer: 54253364.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 1994926058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -209 (b) -0.0891 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. What is the closest to -1\/4 in 4\/5, t, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12804982 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13 - 2*d - 1 - 2 + 3*d wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 12*p**2 - 14*p - 1. Let c be w(-11). Suppose 2*s - c = -5*j - 6, 5*s = -5*j + 35. Suppose j*y + 711 + 1169 = 0. Round y to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -4*d**2 - 1\/210*d**5 + 0*d**3 + 8*d + 0 + 1\/84*d**4. Let y(z) be the first derivative of i(z). Factor y(t).\nAnswer: -2*t*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 11, b: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**7\/147 + 2*w**6\/105 - w**5\/70 - w**4\/21 - 19*w + 1. Suppose m(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605 = -101*t - 3376 - 2488 + 1924 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28708309.\nAnswer: 7, 4101187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.8 + 42.9. Which is smaller: l or 68?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19857 - 11894. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346960 is divided by 151?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1929 = 4*r, 5*j + 2*r = 780 + 1137. Which is greater: j or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*c**2*o**3 - 5*c**2*o - 9852*c*o**2 + 3*o**3 + 3757*o**2 - 5*o - 1 with respect to c.\nAnswer: 20*c*o**3 - 10*c*o - 9852*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 0.4, -1\/1634, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.12 - 1.82. What is the nearest to -6 in 5, -0.3, 1, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2962 by 1.\nAnswer: 2962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12536 is divided by 1451.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 42 - 5 + 2*k + 0*k - 4*k. Let o be u(17). What is the second derivative of 3*z + z + 61*z**3 - 62*z**o wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 = -p, 11*p - 6*p = u + 34. Let q(j) = -p + 5*j**2 + 12 - j**2 - 3 - j. Calculate q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327 * -0.08552.\nAnswer: -27.96504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 597936 and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from ccscccccccccccscsc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/4 + 4*x**3\/3 - 2*x**2 + 12*x + 884. What is o(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in 0.08, 4, 10, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4045*f**2 - 1 - 5 + 2 + 5 - 4053*f**2 - 20*f. Determine r(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(40)*-2*-4)\/((sqrt(88)*-2)\/sqrt(11))*4.\nAnswer: -16*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30201 (base 5) to base 8.\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 210090 (base 12) to base 11\nAnswer: 324621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 810 in 1, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.021359 * 0.4.\nAnswer: 0.0085436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 332*t = 336*t - 7, -4*t = -14*p - 82 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 11:26 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1700) + -5.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -89 + 92 - (0 - 0 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101751 is divided by 25340?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40206*p - 80460*p + 40245*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136589700 rounded to the nearest one million?\nAnswer: 1137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11961505 divided by -6?\nAnswer: -11961505\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16324 * 0.74.\nAnswer: -12079.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 8 - 8 - r**2)*(-2*r + 4*r - 3*r).\nAnswer: r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 54*v - 51216. Let r(a) = 14*a**2. What is m(r(k))?\nAnswer: 196*k**4 - 756*k**2 - 51216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0631 + -0.1369. Put 2\/19, -7.6, a in decreasing order.\nAnswer: 2\/19, a, -7.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3230 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-1)\/7)\/(43285\/2726955)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 6:17 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*f - 24 = 0, 5*f = 3*f + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 20 = -w. Let p = -8 + w. Let t(a) = a**2 + 1. Let z(u) = 4 + 2*u + 3*u**2 - u**2 + 0*u. Calculate p*t(x) + z(x).\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w**2 - 17*w**2 + 30*w**2)*(4 + 34*w - 34*w - w**2).\nAnswer: 4*w**4 - 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 35, 56, 95, 158?\n\"Answer: m**3 + 2*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290942 is divided by 861?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60571 is divided by 9764.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c - 16. Let s(j) = -j - 3. Let o(m) = 16*s(m) - 3*u(m). Let f(g) = -21*g. Determine o(f(y)).\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12c1 + -2?\nAnswer: 12bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 1, k: 14}. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2070 and 14370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-11))\/((-2760)\/3795)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(108\/9))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5. Is 6 a factor of (-91)\/(-21)*(-3)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 1. Let y(i) be the first derivative of -i**4 + 5*i**3\/3 - 17. Let f(r) = 15*s(r) - 3*y(r). Differentiate f(n) with respect to n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80, -285, -610, -1055, -1620, -2305, -3110?\n\"Answer: -60*h**2 - 25*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 - 12 = h, -20 = -4*c + 4*h. Let 0 + 0*m**c - 3\/2*m**4 - 9\/2*m**3 + 0*m = 0. What is m?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4167845*b**3\/2 - 62535935*b**2\/2 - 136960*b - 150 = 0?\nAnswer: -15, -2\/913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -4 + -155 + 151.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003294 to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**4 - 8*s**3 - 9*s**2 + 5. Let n(m) = -m**4 - m**2 + 1. Let r(u) = 5*n(u) - w(u). Determine l, given that r(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 + 9 = 5*q, 0 = -q + 4. Let i be (96\/2)\/((-1)\/(-4)). Suppose n = 3*p - 4*a - 144, -p + i = 3*p - 2*a. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214851.\nAnswer: 3, 7, 13, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 2*c**2 + 80 - c**2.\nAnswer: -3*c**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4293732 by -3.\nAnswer: -1431244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**4 - 15*v**3 - 15*v**2 - 6*v. Let n(s) = 16*s**3 + 16*s**2 + 7*s. Let u(d) = -4*c(d) - 3*n(d). What is the third derivative of u(w) wrt w?\nAnswer: 96*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1)\/3 + 2. Suppose k + 31 = r*k. Suppose -2*a + 3*f = -2*f + 9, k = 2*a + 3*f. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, 178?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 18*r**2 + 17*r - 534. Give p(19).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24320 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*8\/(-36) - (-1114)\/6. Let q = c - 86. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 19*v - 4. Let k(x) be the second derivative of -5*x**4\/12 - 23*x**3\/6 + 5*x**2\/2 + 14*x. Let m(j) = -3*k(j) - 4*q(j). Calculate m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71802, 71804, 71806, 71808, 71810, 71812?\nAnswer: 71814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070724519.\nAnswer: 3, 118969391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220 divided by -4?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18915, -18707, -18501, -18297?\n\"Answer: -w**2 + 211*w - 19125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -490 + 181. Let p(q) = -7*q + 40. Calculate the remainder when t\/(-9) - 2\/(-3) is divided by p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, v: 3, q: 1, b: 1}. What is prob of sequence tvb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5431200 (base 6) to base 11.\nAnswer: -173856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 147 = 4*o + 3*k, 84 = 3*o + 3*k. Suppose -o = -3*s + 1. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70815 divided by 472?\nAnswer: 70815\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 1 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*8*26\/416. Which is the nearest to -1\/4? (a) -4 (b) m (c) 37 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -4 (c) 2\/11 (d) 0 (e) 375 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224 and 205050?\nAnswer: 45931200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30 + (-12*1)\/4. Let b = -27 + y. Solve 3*l + 5*g = 4*g + 11, b = -2*l - 2*g + 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1858 - 1858 - 215*g.\nAnswer: -215*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**2\/2 + 1. Let q(f) be the second derivative of -f**3\/6 + 1675*f. Give q(y(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*u - 320*u - 3818 = 145*u + 10390 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1002*b**5*m - 3*b**3*m**2 + 7*b*m**2 + 366*b*m - 2*b wrt b.\nAnswer: -20040*b**3*m - 18*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 21. Suppose -2*u = x - 49. Find the second derivative of 6*a**5 - u*a**3 + 22*a**3 - 4*a wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 2. Let m = 112 - 726. Let h = m + 614.4. Which is the fourth biggest value? (a) -0.5 (b) h (c) -2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7732 = -v + 4*k, 5*v - 3*k = 9633. List the prime factors of v.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -u - 3, 517 = 3*u + 514 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 21. Suppose -4*q - 4 - 3 = 3*k, u*q + 16 = 0. Solve k*s = -8 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 179?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 39 (c) 14 (d) -6 (e) 44 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1789 + 1784. Suppose 4 = -0*d - 2*d. Let u = -0.34 + 0.04. What is the biggest value in c, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (-1 + sqrt(242) - sqrt(242) - sqrt(242))) + 4)**2 + (0 + sqrt(18) - sqrt(4)\/(1*sqrt(2))).\nAnswer: 222*sqrt(2) + 993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 11) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e7c8b (base 15) to base 6.\nAnswer: -144330335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/5 + 895118*c**2\/5 - 1432179*c + 2685330 = 0?\nAnswer: 3, 5, 895110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w - 760 = 12*w - 2*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -1 + -5.\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(2\/7) + 9\/(-3). Let a = 62 + -59. Solve -4*g = -a*g + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -32, -49, -72, -101, -136?\n\"Answer: -3*n**2 - 2*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.293 * 9.\nAnswer: 20.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 2*d, -3*j - 2 = 5*d - 6. Solve j*c + 2 = -y - 3, -c = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((45\/20 + -2)*0)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b16 (base 13) to base 11\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.3 to the nearest integer.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -489\/7, 10, 3661, 0, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 210. Let h be (2 + 322\/(-162))\/(35\/m). What is the nearest to -0.1 in 3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 19*a**2 + 42*a - 6. Determine u(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 9 = -v, 2*c + 5*v + 11 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 9*i + 2*q - 3, 3*i - 3*q + 6 = 0. Solve -24*f + 23*f + i = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1*-4*1. Suppose 2*o = p*k + 357, 3*o = -3*k + 105 + 408. Suppose 484 = 2*l + o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58473817453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144044400 (base 5) in base 10?\nAnswer: 768725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - -11 - (24 + -33).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-18) - 2) + (-353)\/(-9). Let o = s + -19. Suppose 3*x - 44 = -x. What is the remainder when o is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62007)\/(-627) - 99 - (-1414)\/76.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-25 + -1 + -77 + (-16 - 1))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7755, -15509, -23263?\n\"Answer: -7754*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-36))\/((4\/18)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11332300133 (base 4) to base 8.\nAnswer: -5766037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31349*v - 9 + 3 + 31344*v to the form f*v + m and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4\/11, 4, 0.4, 0.018993 in increasing order.\nAnswer: 0.018993, 4\/11, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18665, -37324, -55983, -74642, -93301, -111960?\n\"Answer: -18659*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(98) + -1.\nAnswer: -3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34511461373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17)*q*q**(-5\/7))\/((q*q**(-6\/7))\/(q**(7\/4)*q)))**(1\/5) assuming q is positive.\nAnswer: q**(1321\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 8. Let z be l(3). Let k(r) = -7*r - 1. Let o be (8\/10)\/((-17)\/(-510)). Let d = 27 - o. Let s(j) = 4*j. Determine d*k(i) + z*s(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2261, 3501, 3745, 3017, 1341?\n\"Answer: 4*v**3 - 522*v**2 + 2778*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -1911, -3914, -6597, -9954, -13979?\nAnswer: -18666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 49?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 3*j**2)*(-3 + 3 - j**3 - 3*j**3 + 3*j - 3*j + (3*j - j - j)*(-j**2 - 5*j**2 + 4*j**2) - 2*j**3 - 3*j**3 - 3*j**3).\nAnswer: 42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*k + 1, 0 = 20*j - 21*j - k + 1. What is the remainder when 16 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3925 + 2056. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.5 (c) 867301 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 1412330*n**2 + 22086*n**3 - 1412330*n**2 + 3*n to the form g*n + c*n**3 + h*n**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -17*q - 12. Let h(k) = -k - 1. Let t(c) = 22*h(c) - 2*s(c). Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d + 2*b - 11, 0 = 4*d - b - 17. Suppose 2*o - 1 = -r + o, 5*o = 4*r + 5. Let k be ((-264)\/12)\/22 + 21\/3. Solve h + k - d = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 2*v**3\/3 + v - 44. Let i(b) = 3*b + 2*b - 4*b. Give g(i(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65992 and -909.\nAnswer: 59986728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102 + -101202000000?\nAnswer: -101201211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.524225mm?\nAnswer: 524.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.645274523 to five decimal places.\nAnswer: -0.64527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338031091 to the nearest integer?\nAnswer: 18386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 - 9 = h, 2*h - o - 11 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 2*k. Let i be a(0). Solve i*u = 2*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -851*r**4 - 7*r**2 - 3*r - 610. Let f(d) = -426*d**4 - 4*d**2 - 2*d - 305. Let v(b) = 7*f(b) - 4*u(b). Differentiate v(o) with respect to o.\nAnswer: 1688*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -119. Let z = -6.3 + 6.5. Which is the third biggest value? (a) z (b) j (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1 + sqrt(100) + sqrt(100))\/sqrt(10)*3)\/(sqrt(18)\/(sqrt(36)\/sqrt(4)*3)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3985, 4314, 4635, 4942, 5229?\nAnswer: 5490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153907 - 132?\nAnswer: 153775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56202.\nAnswer: 2, 3, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10\/(-2)*(-102)\/((-510)\/(-15)) and 51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 11*j**2 + 2*j - 15. Let y = -131 + 142. Calculate f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614938.\nAnswer: 2, 349, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:05 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 415006725 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1688354 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 0 + 3*i + 0. Let q(z) be the first derivative of 2 - 1\/3*z**3 + 0*z + 0*z**2. Determine q(v(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10112 + 2213?\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 12002101120022022?\nAnswer: -12002101120022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031387 to 6 decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 5:34 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 296249433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*j + 49*j + 552230. Does 35 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 92606721303*v**2 - 2*v**3 - 92606721303*v**2 + 2*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -97. What is the units digit of (-776)\/s - (-12)\/90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*x**2 + 0*x + 0*x)*(0 + 0 - 2*x) - 3*x**3 - x**3 - 6*x**3)*(4 + 2 - 5).\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 + -128. Which is the third smallest value? (a) -8\/3 (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -3, 0 in ascending order.\nAnswer: -9, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*g + 2*g + 2*g + (-1 - 2 + 2)*(-3*g + 4*g - 2*g))*(371 + 73 + 41) as h + a*g and give a.\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j - 6. Determine g(9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2\/2 + 135*k - 276 = 0.\nAnswer: -92, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 43*s - 47*s. Let p(j) = 52*j - 2 - 46*j + 2*j**s - j**3 + 0. Calculate p(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, n: 1, z: 3}. Give prob of sequence zn.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 - 1. Let x(w) = -2*w**2 - w**2 + 2 + 2*w**3 - 2*w**2. Suppose -4*c - 72 = 4*l, -c + 496 = 2*l + 522. Give c*g(m) - 4*x(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*g - q, 3*g + 5*q + 0*q - 14 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1530574261735.\nAnswer: 1530574261730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4757, 4909, 5159, 5507, 5953, 6497?\n\"Answer: 49*a**2 + 5*a + 4703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38454*p + 19231*p + 19225*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70431 + 48284. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 1, p: 9, s: 2, g: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 8. Let m(r) = 2*r + 9. Let z(y) = 2*y**3 - 37*y**2 + 53*y - 38. Let l be z(17). Determine l*c(u) - 3*m(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(10\/7))**(-1\/4)\/((k\/k**(2\/21)*k)\/k)**(-42))**(8\/9) assuming k is positive.\nAnswer: k**(2108\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 + 5*v - 5. Let f(u) = -9*u**2 + 7*u - 8. Let s(a) = 5*f(a) - 7*y(a). What is the first derivative of s(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyqqpqqqqqyyqqqqqqp. What is prob of picking 1 q and 2 y?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((1 - 3) + -1) - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/8)\/((-7)\/(-28)). Suppose 8*a - 40 = l*a. Let m = a - -16. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -25 + 54 + v - 29. Let p(h) = 51*h**2. Give p(k(a)).\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/6 + (3 - 76\/24). Solve -o*v - v - 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/11)\/h)\/((h**(-9)\/h*h)\/h))\/((h*h**(-5\/2))\/(h\/h**(-1)*h)))\/(((h*h**(-1\/3))\/(h**4*h))\/((h*h**9)\/h*h**(-9))) assuming h is positive.\nAnswer: h**(1189\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -340, -676, -1010, -1342, -1672, -2000?\n\"Answer: n**2 - 339*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/70*(-15)\/(-18))\/((-34)\/680).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i + 12. What is the highest common divisor of 66 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4305136 - 4?\nAnswer: 4305132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/5 - 262\/85. Let h be 1*(3 - (3 - 1)). Is h less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7486 = 7*z + 387*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 17 - 42 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m - 12. Let v = 28543\/1206 - 1\/1206. Let u = 24 - v. What is the closest to u in -2\/3, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/5 - (42 + -29).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -21*w - 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -14*j - 13*j. Solve -2*g = t - 13, 4*g - 7 = 4*t + j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 1.6. Which is the closest to g? (a) 2\/7 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8431 + -8436. Let u be (-16)\/(-3) - (-3)\/(-9). Suppose 0*i = 5*i - u. Sort i, 0, b in descending order.\nAnswer: i, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -386570 (base 10) to base 4.\nAnswer: -1132120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/461 greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 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: Which is smaller: -700 or -200946\/287?\nAnswer: -200946\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 203. Let k be (-25)\/(-35) - -3 - 4. Let o = -5 - -7. What is the third biggest value in k, o, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 232, 434?\n\"Answer: 202*w - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*-2)\/sqrt(4))\/(sqrt(324)*2))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9871, 1, 2\/17, -0.5, 0 in increasing order.\nAnswer: -9871, -0.5, 0, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, m: 13, f: 2}. What is prob of sequence ww?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 1 + sqrt(11) + 0 + -2 + 5)*-2 + -3.\nAnswer: -6*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1398*m - 308 + 2793*m - 273 - 1394*m - 283 + 864.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 38 - 3 - 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14314?\nAnswer: 2, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*(8\/(-6))\/(16*240\/640).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1223, -2562, -3901, -5240, -6579?\n\"Answer: -1339*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143)*1*6 - sqrt(143) - sqrt(143)))*-2)\/(-2*sqrt(396)*5 + sqrt(396) + sqrt(396)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 <= -53\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 17 - 20\/4. Suppose 0 = 13*g - o*g - 42300. Round g to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127000, -507989, -1142968, -2031937?\nAnswer: -3174896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 234. Suppose -u = 2*u - a. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2645*k**2 - 253*k. Let n(d) = 21*d**2 + 2*d. Determine -506*n(x) - 4*r(x).\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86829029 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by -14.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0 (c) -1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 6*t - 18. Let f(l) = 6*l**2 - 13*l - 37. Suppose -18 = -2*x - 2*b - 0*b, -b = 4*x - 48. Let m(d) = x*i(d) - 6*f(d). Solve m(q) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 225*t**2 - 26592*t - 2992117. Determine k(-113).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*k + k + 1 - 3.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011553.536 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.3538 and -236.\nAnswer: -247.3538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 7:44 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 19*q - 16*q + 2*l, -2*q - 5*l = -24. Let y(s) = 7*s - 25. Determine y(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55522?\nAnswer: 2, 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 748737 - 1497467 + 748732 + 9*n**2. Let x(t) = 17*t**2 - t + 3. Determine -5*s(q) + 3*x(q).\nAnswer: 6*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + w = -1, 2*f = -3*f - w + 11. Let r(t) = t + 15*t**2 + 8*t**2 + 10*t**f + 0*t - 1. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.063183 and -96.8715.\nAnswer: -96.808317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2674 - 2674 - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606782 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*h + 4*h + 1130, j = 3*h + 572. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/11)*c)**(7\/2) assuming c is positive.\nAnswer: c**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 695161356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*s - 8, -3*l = -3*s + 5 - 20. Let u be 2 - (1*(-3 - -3) + s). Suppose -u*i = -i + 4*x + 2, -4*i + 4*x = -20. Solve 1 = i*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**3 + 3*a**2 - 2*a - 1. Let x(y) = 19*y**3 - 7*y**2 + 5*y + 2. Let f(n) = 9*j(n) + 4*x(n). What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 47, 112, 235, 434, 727, 1132, 1667?\n\"Answer: 3*r**3 + 2*r**2 - 2*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*v, 51*q - 55*q + 3*v = 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-174)\/(-609) - (1 + 19\/(-7)). Suppose 5*h = -3*j + 3459, -c*h = -0*h - 4*j - 1368. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8969681, -8969695, -8969727, -8969783, -8969869, -8969991?\nAnswer: -8970155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1774608 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35079361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 1. Let b(h) = 9 + 2 - 10 + 2*h. What is -3*b(s) + 5*p(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 2 - 2 + 2*h - h + 3*h + (2*h - 5 + 5)*(-2 + 7 - 3).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 323605*d**2 - 2135*d - 2135. Let k(u) = -909*u**2 + 6*u + 6. Calculate 2135*k(n) + 6*p(n).\nAnswer: 915*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12453 - 0?\nAnswer: 12453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 3:27 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10261\/(-662)*-3*(-24)\/(-90)?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 2*o + 4*o - 18 + 3 to the form u + b*o and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1036*t + 384 = 1044*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, v: 3, h: 2, g: 1}. What is prob of sequence hg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**2 - 18*d + 29. Let t be l(1). Find x such that -5\/2*x + 3 + 1\/2*x**t = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/9838064 and -61\/87?\nAnswer: 855911568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + 37. Let c be (j\/(-8) + 5)\/(1\/(-2)). Let u = 9 - 5. Solve 20 = -5*z, -c*z - 15 = a + u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.55646 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196689216?\nAnswer: 2, 29, 1183561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o = -3*j - 63, -2*o + 4*j - 24 = 0. Let b be (-96)\/54 - (-4)\/o. Let l(g) = -3*g**2 - 2. Let z(p) = -16*p**2 - 11. Determine b*z(a) + 11*l(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -12*s**3 - 452*s**2 + 620*s - 156 = 0.\nAnswer: -39, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(-2*sqrt(77) - sqrt(77)) - -6*(sqrt(77) + -2*sqrt(77) - sqrt(77)))\/((sqrt(1008) + sqrt(1008) + (1*sqrt(1008) + sqrt(1008) - sqrt(1008)))*3)*-6.\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-32 + -4)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260361 by -9.\nAnswer: 28929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a millennium in decades?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12223668 divided by 50097?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - 5*sqrt(784)) + -2*sqrt(441))\/(sqrt(252)*-3 - sqrt(252) - sqrt(77)\/(sqrt(11)*-3)).\nAnswer: 75*sqrt(7)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 10*x**2 - x + 12. Let n be s(10). Suppose 2*j = 3*j + 4*b - 3, -j - n*b = -3. Solve 8 = -4*l, -j*z + 5 = -l - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and (19 - 15)\/(2\/28)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 5*m - 6. Let w be (-9)\/2*40\/15. Let h = 20 + w. Suppose v = -v - h. Calculate a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 21, 34, 41, 42, 37, 26?\n\"Answer: -3*m**2 + 28*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751009, -751003, -750997, -750991, -750985?\nAnswer: -750979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -158*f**7\/105 - 109*f**4\/12 - 491*f**2. Find the second derivative of v(z) wrt z.\nAnswer: -3792*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*u = 0. Solve -3*m + 9 = -4*j, u = -3*m - 4*j - j + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11213 - 26844 = -1490*h + 3663 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:26 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3324664 by -831166.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3128 divided by 782.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*t + 2*r - 11, -15 = 5*t - r. Let d be (-3)\/t*(-32)\/(-12). Solve -l - 25 = d*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1683.9586 to the nearest integer.\nAnswer: -1684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010000 - 10?\nAnswer: -10101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v. Let s(h) be the third derivative of 1\/3*h**4 + 0*h + 0 + 8*h**2 + 0*h**3. What is s(f(o))?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71559275 to the power of 1\/2, to the nearest integer?\nAnswer: 8459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-950))\/((-40)\/(-1100)*-11)\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2 + 10*t + 13. Let d be n(10). Let c = d - -793. Let v = c - -225. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from dgssdsd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 862679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640 = -23*y + 18*y. What is the highest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**18\/k))\/(k\/k**(17\/4))*(k**10)**(2\/73) assuming k is positive.\nAnswer: k**(-3935\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -89, -118, -167, -242, -349?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396))**2*1 + (sqrt(33)\/(sqrt(21)\/sqrt(7)))**2.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 248. What is t(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23448613 or -23448612?\nAnswer: -23448612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 565*i**5 - 103*i**2 - 3 wrt i?\nAnswer: 33900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284*i**3*o**3 - 2*i**3 + 3691*i**2 + 3*i*o**4 + i*o**2 wrt o.\nAnswer: 1704*i**3 + 72*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 12 - 1 + 10 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) -0.05 (c) -1\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22899712*y + 26407683 wrt y?\nAnswer: 22899712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3305272 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6293.5, 0.5, 2, -8 in ascending order.\nAnswer: -6293.5, -8, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**3 + 2\/15*b**5 + 2\/35*b**7 - 9*b**2 + 0*b**4 - 1\/6*b**6 + 0 + 0*b. Factor x(t).\nAnswer: 4*t**2*(t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l - 9. Let i(g) = -2*g. Let c(q) = -4*i(q) - n(q). Suppose 0*o - 3*o = 0. What are the prime factors of c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/18 - (-6)\/(-27). Suppose j*r - 4*q = 4, -2*r - r = 5*q + 32. Let t = -1.6 - -3.6. Put r, -1, t in decreasing order.\nAnswer: t, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -3*g, -g - 3*m = -7 + 3. Suppose 0 = -5*j + 11 + g. Solve -3*z - j = 3*n, 2*n + 3*z = n + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 62\/7, -5?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 139 + 296 - 152.\nAnswer: -4*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 9477?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4 + ((-84)\/60 - 30\/(-75)))*11?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -112*s + 552. Calculate the remainder when 3430 is divided by p(4).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 3*s = 48 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:14 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.52227319 rounded to 4 decimal places?\nAnswer: -1.5223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*u**5 - 37*u**2 - u - 81.\nAnswer: -640*u**3 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17\/(-3))\/((-35)\/630). What is the tens digit of 8 + -9 + 2*x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1625250)\/197*(-28)\/(-3). What is t rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3\/2, 0.1, 10, -1\/4.\nAnswer: -1\/4, 0.1, 1\/2, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*((sqrt(180) - (-2*sqrt(180) + sqrt(180) + sqrt(180))) + sqrt(180)))\/((sqrt(176)\/(1*sqrt(11)))\/(-1*sqrt(16)\/sqrt(4))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 951 by 3.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215673724?\nAnswer: 2, 7, 43, 271, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -74\/5151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684377 is divided by 219.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 10, -1, -2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*g + 5*i, 5*g = -10*i + 9*i + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66.003 + 0.003. Which is smaller: x or -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35717386 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -2*q + 1, 0 = -2*h + q + 10. Let v(l) = -2*l**3 + l**2 - 3*l + 2. Let w be v(h). Let z be (-12)\/w*(-4)\/6. Is 0.9 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b - 50. Let n be -5 - (-13)\/((-52)\/24). What is the tens digit of r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -133 (c) -1356 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/17 + 586*v\/17 - 136 = 0.\nAnswer: 4, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 - 312*r**4 - 2016*r**3 - 216*r**2 + 17820*r + 27216.\nAnswer: 4*(r - 84)*(r - 3)*(r + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 2, 42?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7))\/((-2)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/5)*a**3*a\/(((a\/a**(1\/5)*a)\/a*a)\/a)*a**(6\/5)*a*a assuming a is positive.\nAnswer: a**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(1*3\/(-9)). Let j = n + -8. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56146080 divided by -16\nAnswer: 3509130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9565, -9566, -9567, -9568, -9569?\n\"Answer: -f - 9564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.09406 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*87.\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 285.9 * 37836\nAnswer: 10817312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1190.2666 to the nearest integer.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.2, 5\/6, 3\/2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 8412274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.8530185 - 12.853. Round r to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + 0 + 2 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x - 1240 = -155*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -6*4\/8. What is the first derivative of 0*u**3 - o + u**3 - 7*u**4 - u**3 wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 5*z**2 + 1 - 7*z**2.\nAnswer: -12*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -60528\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 2830*b + 36444. Calculate z(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) -2\/5 (c) 2\/59023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73750 by 5.\nAnswer: -14750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-10) - 10\/(-4). Suppose -i*t + 5*t = f - 9, -f + 3*t = -14. Let h = f + 9. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190397 is divided by 1561?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 - 116. Suppose -2*o - a = -135, -5 + x = o + 5*a. Calculate the remainder when o is divided by ((1530\/12)\/5)\/((-3)\/(-2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112524 is divided by 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -5 (c) -0.38 (d) -3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 54*i**2 - 259*i + 139. Give v(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 430503870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 25*o + 553. Let i be t(-22). Let c = 123 + -43. Calculate the remainder when c is divided by -5 - (i\/(-27) + (-287)\/9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 35*u**2 - 17*u - 256*u**2.\nAnswer: -291*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15926213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, g: 7, z: 1, e: 3}. What is prob of sequence ppzg?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -db (base 15) in base 14?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**3 - 7*w**2 + 7*w. Let u(p) = 4*p - 4*p**2 + 10*p**3 - 16*p**3 + 0*p**2. Determine 7*u(k) - 4*z(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11604.\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 12. Let o(s) = 5*s - 24. Determine 7*a(u) + 4*o(u).\nAnswer: -u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 49, 92, 157, 250?\n\"Answer: h**3 + 2*h**2 + 14*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 267. Let t = s - -147.1. Let y = 0.06 + 0.44. What is the second smallest value in y, t, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 919 = -6*z - 352. Calculate the remainder when 106 is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 2, -760 in decreasing order.\nAnswer: 2, 0.23, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1013, 1997, 2879, 3611, 4145, 4433?\n\"Answer: -8*x**3 - 3*x**2 + 1049*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -18*q**3 - 12452*q**2 - 2152120*q + 478864 = 0.\nAnswer: -346, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = -7. Let a = 1 + l. Suppose 0 = 5*k + 3*d - 93 + 14, -a*k = -d - 53. What is the greatest common factor of 51 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5443 - -10276. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*f = 1592 - 259 + 1739 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 8*l + 8. Let o be x(-7). Suppose -4*i + 49 = o. Suppose -3*c = -c - i. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 5. Let k(b) = 2*b - 4. Give -5*d(j) - 6*k(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -92, -70, -22, 58, 176?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -137*k**2\/2 + 981*k + 711. What is the derivative of d(q) wrt q?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*-2*sqrt(7) - sqrt(7)))**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 847552.135 and 3.\nAnswer: 847555.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -56. Let g = u - -45. Let c be 5\/(-7)*(-6)\/15. Put g, 3, c in increasing order.\nAnswer: g, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*50\/7800*-108*(-10)\/14?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6753.82kg to micrograms.\nAnswer: 6753820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36559?\nAnswer: 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 51 (c) 0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -496\/8851913 - 502142142977\/321767037550. Let k = r - -15\/727. Find the common denominator of -31\/10 and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 9\/15 + 158\/(-5). Let n be (-16)\/(-6) + (f\/(-12))\/(-4). Sort 3\/5, 5, n, 1.\nAnswer: 3\/5, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -3*d**6\/40 - d**5\/60 + d**4\/24 + d**3\/6 - d**2. Let o be (-1)\/(-3) + (-8)\/6. What is the units digit of t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 37354.\nAnswer: 1905054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 34. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 2*b - b - 5*b + b + 5*b + (-2 + 1 - 1)*(-3 - b + 3) + b + b - b - 2 - 2*b + 2 + 0*b + b + 0*b + 379*b + 219*b + 284*b - 1408*b.\nAnswer: -522*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3084*p = -3076*p + 74, 0 = 2*h - 2*p - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from rlrrrlllrrrgj?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 55042253.\nAnswer: 275211265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5. Let y = -9133 + 9141. Calculate the remainder when y is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(17)*1 + 1)*-4)**2 - (sqrt(119) + sqrt(119) + 2*2*sqrt(119))\/(2*sqrt(7)*-2).\nAnswer: 528 + 259*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z. Let d(k) = -1031*k + 6. Determine v(d(p)).\nAnswer: -7217*p + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b**2 + 1. Let j(i) = 42*i**2 - 4. What is 2*j(d) + 7*w(d)?\nAnswer: -14*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-8))\/((-18)\/(-72)). What is the tens digit of v\/((-4)\/(-8)*(-10)\/(-3515))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 11*u - 7*u**3 + 5*u**3.\nAnswer: -2*u**3 + 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 divided by 1584?\nAnswer: -655\/1584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2038 + 3358. List the prime factors of x.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 10188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 10. Let g be v(9). Let d = -1376591\/2444 - -2253\/4. Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6098170 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/17 + 298*w\/17 - 27820\/17 = 0. What is w?\nAnswer: -214, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6*j + 7. Let a(y) = -y**3 - 24*y**2 + y + 35. Let w be a(-24). Suppose -35 + w = 3*t. Give b(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 4*z - 23, -235*p + 234*p + 3 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdv when four letters picked without replacement from dvjrvzjl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 232520 (base 8) to base 5\nAnswer: 10013214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 14*c = -38. Let l = -46 + c. Let z be 1\/l - 292\/(-32). Solve 2*d + d + z = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 259354079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*b - 56 = -162*b. Solve -9 = 11*d - b*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {y: 1, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 939593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + b - 4 = 0, 80 = -5*y + 319*b - 314*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 76*a**2 + 82*a - 156.\nAnswer: -2*(a - 39)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -13 = -135\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.132 + -20.132. What is the second biggest value in o, -1\/9, 468?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 5:18 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-14 - (-7 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(-4 + 0 + 1*sqrt(200) + -1))**2.\nAnswer: -100*sqrt(2) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 85*h + 7. Calculate d(-1).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4182875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -9, -5, 38 in decreasing order.\nAnswer: 38, 4, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1121 (b) -5 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 45. Let b = -9 - j. Suppose -2*o = -0 - 10. Solve -b = o*t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-15)*-3)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/8, -2, -1\/35, 0 in decreasing order.\nAnswer: 0.4, 0, -1\/35, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 71?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + y**2 + 7 + 8*y - 2*y**2. Let h be l(8). What is the highest common divisor of h and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-12))\/(((f*f**(3\/7))\/f*f)\/f)*((f\/f**(1\/3))\/f)\/(f*f**(2\/39)))**(-27) assuming f is positive.\nAnswer: f**(-27486\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from qzlqeqqizqqfz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b + 6*b + 13*b - 8 with respect to b.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16690688 a multiple of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84656341*s**3 + 99980130.\nAnswer: 253969023*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:10 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1511891997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnppnjbn. Give prob of sequence nbnp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-618 + 618 - 16*k**2).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 - 355*p + 4188 = 0. What is p?\nAnswer: 12, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gomhmhh. Give prob of sequence og.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 364574 + 0*h - 364570 - 5*h**2 + 0*h. Let k(x) be the second derivative of -27*x**4\/4 + 63*x**2\/2 - 11*x. Give 63*b(l) - 4*k(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 6 - 102. Let x be ((-117)\/15)\/(-13) + 256\/(-10) - -2. Let t = x + l. Solve 2*d = t*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 16*b - 70 = 0. Let w(o) = o**2 + 1. Let y be w(1). Solve y*c = -0*c - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - a - 8 = -2*a, -3*a - 14 = -4*j. Suppose -438 = -j*k + u - 49, 0 = 5*k + 2*u - 968. List the prime factors of k.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2283*f*h**2 + 2*f*h - 125*h**2 - 247249*h wrt h?\nAnswer: -4566*f - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20152 = 32*q + 37*q - 80*q. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 59.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 56. Let i be g(4). Solve i*s = 45*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otttotttttootttttt. What is prob of sequence ott?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.02 rounded to one dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 2*k**2 - k. Let t be b(1). Let o be 0\/(t\/((-2)\/(-1))). Suppose 3*c - 3*f - 15 = o, 1 = 2*c + f - 3. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1925032 divided by -11738.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388335027 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -588, -1178, -1770, -2364?\n\"Answer: -g**2 - 587*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w - 26. Let m be z(13). Let h be 17 + 146 + (0 - m) + 1. What is the greatest common divisor of 41 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.98 - 0.02. Let t = 47019\/8 - 5877. Which is the third biggest value? (a) j (b) -0.5 (c) 0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-49)*-7 - -377. Calculate the greatest common divisor of 198 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4723.75652 rounded to the nearest ten?\nAnswer: -4720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -8.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 + 9*s + 6. What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*h**3 - 3*h**2*l - 150*l wrt h?\nAnswer: 36*h**2 - 6*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -36*k**2 + 117 - 117. Let h(u) = -3*u**2. What is o(h(s))?\nAnswer: -324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 19 - 123 = -4*m, 0 = b + 2 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1839819 != -1839820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**2)\/b*b*b)**(19\/6) assuming b is positive.\nAnswer: b**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 120\/(-65) - (-10 - (-2076)\/195)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/8*4\/(-12)*(-1)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.85 or -4?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:26 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/18)*k**(-1\/27)\/k)\/(k**(-23)*k**5\/k) assuming k is positive.\nAnswer: k**(967\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*f*j**2 + 2*f*j - 112*f*o - j**5 - 2*j**3*o + j**2*o - 2*j*o wrt j?\nAnswer: 28*f - 20*j**3 - 12*j*o + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Suppose -3*t = 2*t + 5*d - 15, 0 = -4*t + 2*d - 12. Let s(i) = i**2 - 1. Let p(w) = -19*w**2 + 38. Let v(f) = t*p(f) - 38*s(f). Give v(h(k)).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/10 - 5*l**4\/12 - 5*l**3\/6 + 5*l**2\/2 - 270*l + 2. Let h(f) = 3*f**2 - 6*f - 4*f**2 + 5*f. Give -c(k) + 5*h(k).\nAnswer: -2*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3496*a + 7000. Determine q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398 - -399. Let k be -7 + 26\/(-15) + 9. Sort 4, k, d, 2\/9 in increasing order.\nAnswer: 2\/9, k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -100. Suppose y*g = 17*g - 80. Suppose g - 51 = -s. What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21 = -3*s, -s = 5*n + s. Suppose n*k = 3*k - 953. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 0.4.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 13, f: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3*t**2 + 0*t**2)*(-26*t - 103 + 103) + (t + 5*t - 4*t)*((0*t + t + t)*(0 - 3*t + 0) + 4*t**2 + 3*t**2 - 5*t**2 + 2*t**2 + 3*t**2 - 6*t**2).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 4\/4 - -8 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-24 - -10) + 14 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-10) + 1299\/(-90) and (-425)\/(-140) + 15\/(-12) + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 3*a**2 - a - 2. Let c be j(-4). Let m = c + -11. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-2)*v*v**(-5)*(v*v**(2\/11))\/(v*v**(-6)\/v)*(v**(-2\/3))**(-1\/34)\/((v*v*v*v*v\/(v\/v**0))\/v)**(-5) assuming v is positive.\nAnswer: v**(11894\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -12.45. Let c = 0.15 - a. Let b = 0 + -2. What is the second smallest value in b, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 3*a**2 + 4*a - 6. Let q be b(-4). Let u = q + 14. Let n = 68 - 28. What is the greatest common divisor of u and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/24 + 5*z**4\/24 - 5*z**3\/4 + 16*z**2. Let v(q) = 0. Calculate q.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/40*(4\/(-18))\/1?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42*(-1 + 19\/7). Suppose 10*v - 13*v = -g. Suppose -2*r - d + 51 = 0, r - 5*d + 4*d = v. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-14)\/6))\/((3\/(-348))\/(109\/(-1308))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.206, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263 - 62. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-120)\/3310)\/12)\/((-1)\/(-3)). Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 288\/16*(-3 - (-228)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 5. Let w = 4 + -9. Let p = w + 7. Solve p = x*i + 4*y + 3, 2*i = y + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 - 8*m - 7. Let k be d(5). Let x be (k\/(6 - 7))\/(6\/4). Let z(g) = 711*g**2 - 2*g - 3. Is z(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:24 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 23 + 85 = 0. Solve -i - 8 = -b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + j + 20 = 0. What is j?\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1724 or -13801\/8?\nAnswer: -13801\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 + 7*o**4\/12 + 101*o**3\/3 - 2737*o**2. Determine x(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i - 6. Let d be b(5). Suppose -d*g - 4*t + 16 = 0, 5 = -2*t - 1. Let j = -4 + g. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -241, -365, -489, -613, -737?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b**3)*(-b + b + 3*b + (2 + 2*b - 2)*(19 + 6 + 13)).\nAnswer: -158*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 128160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9497511, -9497512, -9497525, -9497556, -9497611, -9497696, -9497817?\n\"Answer: -i**3 + 6*i - 9497516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f**2 + f - 1. Let i(p) = 4*p**3 + 3*p**2 + 12*p - 8. Let h(k) = -i(k) + 5*o(k). What is the tens digit of h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 divided by -3?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/140 and -41\/1880?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5950 is divided by 3116.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:31 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a, -4*a + 18 = 3*b - a. Suppose 0 = 3*z + 2*n - 20, 2*n + 36 = 4*z + 7*n. Suppose b*l - 25 = -l, -12 = u - z*l. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03290616 rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*y - 935*y + 470*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 21. Let y be g(6). Let k(n) = n - 15. Let v be k(y). Solve -3*s + 2*h + 2 = -v*s, s + 4 = -4*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/96)\/(4\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + a)*(-75*a - 86*a + 29*a) in the form r*a + d*a**2 + b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2 - 2. Let y(v) = 38*v**2 + 1. Let m be y(2). Let t(q) = -m + 4*q + 153. Give t(n(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44536 divided by -11134\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00073871 to 5 decimal places.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)\/l*l)\/l**(-6))\/(((l*l*l**(4\/7))\/l)\/(l*l*l\/((l**(-2\/13)*l)\/l)*l)) assuming l is positive.\nAnswer: l**(119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 83411 (base 10) to base 5\nAnswer: 10132121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1639233, 1639238, 1639243, 1639248, 1639253?\n\"Answer: 5*z + 1639228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -565, -455, -345, -235, -125, -15?\n\"Answer: 110*q - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = 256. Is 32 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 1. Let b(r) = -r**3 - 26*r**2 - 67*r + 50. Let q be b(-23). Let z(s) = -10*s**2 + q*s**2 + 3*s**2. Calculate c(z(w)).\nAnswer: -45*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 25*f**4 + 54*f**3 + 2916*f**2 - 5832*f.\nAnswer: -f*(f - 9)*(f - 2)*(f + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2*q + 0)*(-2*q - q + 4*q - 3*q**2) as c*q + j*q**2 + s + v*q**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/8100 and 87\/160?\nAnswer: 64800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13466?\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 2. Let m(s) = 2*s + 5. Let a = -248 - -251. Determine a*m(u) - 5*c(u).\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704074081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*u**2 + 3*d*u + 33393*d - 2*u**3 + 8*u**2 wrt u?\nAnswer: 12*d*u + 3*d - 6*u**2 + 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(12\/15)*-1. Suppose 5 + 0 = j*f. Let l be (-6 - -2)\/(0 - f). Solve -5*w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38122 and 326760?\nAnswer: 2287320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 71*p**2 + p - 1. Let f be j(1). Suppose 5*s + 4*r - f = 0, r - 30 - 7 = -3*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 2*k - 10 + 2 = 0. Suppose -2*r - 4*l - 2 = -k, 5*r - 5 = 4*l. Solve 0 = q - 6 + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -0*h. Let m(y) be the third derivative of h - 1\/36*y**4 + 0*y + 3*y**2 + 0*y**3 - 1\/90*y**5. Factor m(u).\nAnswer: -2*u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5496460244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 9. Let y be o(6). Let w(n) = -2 - 2 - 7*n + n**2 + 4 - 6. What is the tens digit of w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 + 122*r**4 + 7*r**3 - 53646*r**2.\nAnswer: -60*r**2 + 2928*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6103997*v + 30. Let k be b(-10). Suppose -2*m = 6*m - k. What is m rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04439 - -0.25561. Sort f, -23\/3, -0.4, 2 in increasing order.\nAnswer: -23\/3, -0.4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30683202 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.783 decades in years?\nAnswer: 9917.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 42*q + 311. Calculate the remainder when 90 is divided by x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10*n + 20. Suppose n*y - 2*y - 22 = 0. Suppose 1444 = -y*i + 15*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-60)\/72*6. Let k(r) = -r**2 + 23*r - 118. Determine k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, 6992, -0.3, -2, -1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 748, 2937, 6570, 11647, 18168?\n\"Answer: 722*d**2 + 23*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/35*(-2)\/2*5. Let o(q) = -99 + 7*q + 2*q**2 + 103 + 0*q**l. Determine o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 224, 483, 794, 1163, 1596, 2099?\n\"Answer: n**3 + 20*n**2 + 192*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687 (base 12) to base 10.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g - 15. What is the remainder when 40 - (g - (0 + 2)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-125)\/(-6))\/(-5) - (2 - 6). What is the closest to 1 in -2\/3, p, 5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228 + 103 - 119 - 3*r to the form c*r + x and give x.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 1. Let j be 3\/3 - (0 - 0). Let i(u) = -1 - 3*u - 6*u - j. Let b be 2*(1 + (-5)\/2). Determine b*i(d) - 5*w(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -33 - 1\/24*q**4 + 0*q + 2*q**2 + 0*q**3. Let s(p) = 59*p**2. What is s(x(m))?\nAnswer: 59*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-69)\/2)\/(-4 - (-770)\/200). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 4*t**2 - t**2 + 2*t**2. Let m = 9 - 4. Let x(z) = -5*z + 6*z - m*z + z. Give n(x(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 6*b**2 + 3*b - 9. Let y(j) = -37*j + 416. What is the smallest common multiple of y(11) and u(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 404 and 22.\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*l - 0*p - 19, 3*l = 4*p + 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -62 + (-49 - 7) + 6 + 1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 - 24*z**2 - 2*z + 14. What is the smallest common multiple of 2002 and c(5)?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149, -310, -501, -722, -973, -1254?\n\"Answer: -15*g**2 - 116*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101126?\nAnswer: 2, 59, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 4*y - 2. Let z(b) = 2*b**2 + 5*b + 2. Let a = -188 + 217. Suppose 0 = -4*g + a - 21. Determine g*z(q) + 3*o(q).\nAnswer: -5*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a + 31. Let d(y) = y + 49. Let w(u) = -77. Let v(l) = 5*d(l) + 3*w(l). Let s(t) = -2*t - 5. Calculate a*s(r) - 3*v(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1887 and -2422.4.\nAnswer: 4571068.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7221174*h**2 + h + 73182250?\nAnswer: 14442348*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-141)\/658)\/(1\/7)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1 (c) 0.05 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (50\/40*-20)\/((-13)\/(-13))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -110220212200222?\nAnswer: -110220212200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9553 and 1.\nAnswer: -9552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**3 + 35*b**2 + 10*b.\nAnswer: 5*b*(b + 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 2490*i**2 + 48657*i - 46170.\nAnswer: 3*(i - 810)*(i - 19)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3430980 divided by -3.\nAnswer: -1143660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.8561 + -12157.9481. Let n = r + 12117. Let m = n - -29. What is m rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let v = -114 - -123. Suppose k = 3*l - v, -5*k - 16 = -3*l - 7. Let y(o) = -o**2 - 26*o**2 + k + 0. Determine y(c(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09033553 and 147.\nAnswer: 147.09033553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444008 (base 14) in base 9?\nAnswer: 4318781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7975265, 7975032, 7974799, 7974566, 7974333, 7974100?\n\"Answer: -233*k + 7975498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2650 divided by -280?\nAnswer: 265\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1029 and 147?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6021 - -86092. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 35. Let z be 3\/y*(10 + 0). Suppose 4*q - 2*j + 21 = -q, -31 = z*q + 3*j. Which is smaller: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = 11*t + 1625. Let r = t + 69. Solve -4*p + 0*p - 10 = 3*f, 0 = -r*p - 4*f - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -28514 (b) -20\/21 (c) -2\/13 (d) 0 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 280*w**2 + 480. Let h(u) = -2*u**2 + 6. Determine -240*h(v) + 3*o(v).\nAnswer: 1320*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/538896 and -15\/1133?\nAnswer: 5927856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -4*q. What is the tens digit of q\/4*4*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((32\/18)\/(-4)*-51)\/((-24)\/(-8172)).\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51325 (base 6) in base 12?\nAnswer: 3b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 72\/11, -1\/6, 0 in ascending order.\nAnswer: -1\/6, 0, 72\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -150a5b (base 13) to base 8\nAnswer: -1757430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559812 and 1188?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509641 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m + 64. Let t(g) = 8*g - 65. Determine 3*l(w) + 4*t(w).\nAnswer: 2*w - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22251, -21663, -21075?\n\"Answer: 588*f - 22839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3342 and 0.2.\nAnswer: 668.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 28 in descending order.\nAnswer: 28, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006955783 rounded to 5 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/7))**44*w*w**(-1)*w\/(w\/w**(-7\/5))*w)**(2\/99) assuming w is positive.\nAnswer: w**(724\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:47 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -39.9. Let t = -3.3 + j. Which is the second smallest value? (a) -13 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 - 15*a**2 + 5*a + 15 = 0. What is a?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 2. Suppose 0*k - 6 = -k. Let a(h) = 80*h - 40. Let r(j) = 49*j - 26. Let y(z) = -5*a(z) + 8*r(z). Let d(w) = -w - 1. Calculate b*y(q) + k*d(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/50*354600\/9456?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 329. Let c = 313.000000157 + n. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/40*50\/(-30).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -253*r**2 + 36 + 439*r**2 - 27 in the form t + x*r + s*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1352299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2760594 is divided by 258.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30073.\nAnswer: 17, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (18\/(-3) + 3). Let p(m) = h - 6 - m**3 - 8*m**2 + 3 - 2 + 8*m. Let g be p(-9). Put g, 3, 2 in decreasing order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1328 - 71*d**3 - 1045 - 69*d**3 + 58*d**3 + 2373.\nAnswer: -82*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 22. Let p = -134 - -78. What is the least common multiple of b and p\/(-12)*(6\/4)\/1?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 take away 334?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18)*-4)\/(56\/12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217.41 + -5.91. Let l = w - 212. Which is the third biggest value? (a) -5 (b) -44 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3115126, -6230250, -9345374, -12460498?\nAnswer: -15575622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -11. Let l be (-5)\/(-1) + (2 - x) + 3. Let o be (1 - -3)*(3 + (-5)\/l). Calculate the greatest common divisor of o and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 11 + -2 + (192 - (50 - 28))?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + p = 5, r + r + 3*p = -1. Let u(h) = 10*h**3 - h**2 - h + 6. Let x(a) = -7*a**3 + a**2 + a - 4. Let c(j) = -5*u(j) - 7*x(j). Determine c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 3037356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (sqrt(500) - (sqrt(500) + sqrt(500)*2))) + -1)*-6 + -2*(sqrt(40)\/(-1*sqrt(8)) + 0))**2.\nAnswer: -2136*sqrt(5) + 158456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774 divided by 148452.\nAnswer: -129\/24742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lecyyylyllycyyyyy. Give prob of picking 1 c and 1 l.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 13 = -5*g, -5*g + 9 = 2*u. Let z be (1 - (3 - g))\/1. What is the smallest common multiple of 14 + z\/1*-4 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 253804166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63.94983l?\nAnswer: 63949.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6643907 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 9. Let y be (-20)\/(-6) + (-4)\/(-6). Let o = 29397.2 - 29397. Sort g, y, o in decreasing order.\nAnswer: y, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168297 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -32*j**2 + 17*j + 11539. Let t(x) = 17*x**2 - 9*x - 5773. What is -15*t(q) - 8*z(q)?\nAnswer: q**2 - q - 5717","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-4*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 5835 = -1131. What is the remainder when a is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(468) + 0 - (1 + sqrt(468) + -3)**2 - (4 + ((5*(sqrt(468) + -3))**2 + sqrt(468))*-2).\nAnswer: -1758*sqrt(13) + 23371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 48*l**2 - 3*l. Let d(p) = 432*p**2 - 28*p. Let k(q) = 28*c(q) - 3*d(q). Let z(s) = s**2. Give k(z(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 20. What are the prime factors of 4\/k*-31*-3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 55*r**2 + 4*r + 32. Let c(w) = 112*w**2 + 9*w + 72. Give 3*c(l) - 7*v(l).\nAnswer: -49*l**2 - l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 + 160 = -37*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, 2, -3787, -3.\nAnswer: -3787, -5, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 4) in base 10?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181720 divided by 55.\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkkhkkkhxxhk. Give prob of sequence xxkh.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*a - 27 = 0, -134*a + 129*a + 55 = -5*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421.3922t to kilograms.\nAnswer: 421392.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45860248 and 1596.\nAnswer: 2614034136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63753214 and -5?\nAnswer: 318766070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5 + 611\/505 + -2. Do u and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, r: 4}. What is prob of picking 1 t and 1 r?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 30938319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6549851 is divided by 1649?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 164013, 163528, 163033, 162522, 161989?\n\"Answer: -l**3 + l**2 - 481*l + 164494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.875617 to three decimal places.\nAnswer: 0.876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*p + 23 = 39*p + 569 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10795, -10765, -10727, -10681, -10627, -10565, -10495?\n\"Answer: 4*k**2 + 18*k - 10817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 13*y**2 - 14*y - 8. Calculate a(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -168*k + 171*k + 44, 5*k = -3*p - 72. Let m(b) = b**2 + 11*b - 41. What is m(k)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 7*n - 1. Let m(k) = -k**2 - 5*k - 6. Let l be m(-5). Let d = -11 - l. What is v(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 7*p**2 - 16*p - 20. Is 10 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*x**2 - 5 - 14*x + 14*x to o + b*x + p*x**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*w + 10, 3*c - 3 - 6 = 0. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mme when three letters picked without replacement from {e: 1, m: 2, k: 3, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*f - 95*f - 21 = 0. Suppose 0 = -3*a + 4*u + 38, -u = -4 + 9. Let m be (-5)\/(-10) + a\/4. Solve 7*q = 4*q - 2*x + m, -f*q + 3*x - 18 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172900 by 100.\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-2 - sqrt(162)) + sqrt(162) + 2 + 2)**2 + 2*(-1 + sqrt(242))**2*2.\nAnswer: -232*sqrt(2) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**2 + 0 + 21\/4*z + 3\/4*z**3.\nAnswer: 3*z*(z - 7)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let d(b) = -3*b + 2*b + b + 111*b**2. Determine x(d(n)).\nAnswer: -111*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.091 - -0.191. Let i = 3.1 + -3. Let c = i + o. What is the closest to 1\/2 in -4, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:04 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -8*(-14)\/(-20)*(-55)\/22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 - (-51 + -8) - -75?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81415, -82180, -82945?\n\"Answer: -765*w - 80650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - s - 4 = 0, 0 = -7*v + 10*v + 5*s + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463807500 rounded to the nearest 1000000?\nAnswer: 464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.01648 milligrams to grams.\nAnswer: 0.09201648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -24 - 4176\/(-145) - (1 + (-6)\/5). Solve 30 = p*t - 5*r, -4*t + 3*r + 4 = -15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4616618, -5, 1 in increasing order.\nAnswer: -4616618, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 4381*a + 91537. Determine c(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 47*y + 5316. Let v be l(-113). Let m = -11.007 + 11. Which is the smallest value? (a) m (b) 4 (c) 3\/2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5232\/(-4905))\/((-8)\/3))\/((-1)\/75)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((sqrt(200) - sqrt(200)*2)**2 + 5) - ((sqrt(200) + -4)**2*5 - sqrt(200) - (sqrt(200)*-4*1)**2).\nAnswer: 410*sqrt(2) + 2938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpxkprkrxrxxxe. What is prob of sequence xppx?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 16) to base 9.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4394760079 to the nearest integer?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.727960028 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {x: 8, w: 8, r: 1}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 3*b**2 - 4*b - 7. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638150 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9192, -72488, -243462, -575688, -1122740?\nAnswer: -1938192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/2, 3.8, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -45*d + 2300 + 55*d - 2*d**2 - 2279. What is z(10)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.04, -8, -0.4, -1759?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -755*k**4\/24 - 2351*k**3\/6 + 762*k**2. What is the first derivative of t(i) wrt i?\nAnswer: -755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 - 340. Which is the closest to 20? (a) v (b) 1\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9986649 is divided by 205.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15122 + 12?\nAnswer: 15134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Which is the third biggest value? (a) 1 (b) t (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxsywwiyyw. What is prob of picking 1 y, 2 w, and 1 x?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -117799, 0, -2, -4, 5 in increasing order.\nAnswer: -117799, -4, -3, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44330.\nAnswer: 2, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 3. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20105, 40518, 61245, 82292, 103665, 125370?\nAnswer: 147413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -68*t + 13234. Let f be c(-177). What is the highest common divisor of 140 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 15*v**2 - 8*v - 50. Let r be i(-15). Let f be (-9)\/2 + 105\/r. Let p(m) = m + 4. What is p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 479995.1t?\nAnswer: 479995100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 641243, 1282503, 1923761, 2565017, 3206271?\n\"Answer: -c**2 + 641263*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -145.9 and -0.0005323.\nAnswer: -145.9005323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*s + 68442 = 0, 0 = 2*p - 12*s + 14*s - 34248. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -1401.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3 + 37*u**2 - 71*u + 35 = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 - 4*n**3 + 44*n**2 + 36*n - 72 = 0. What is n?\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.114.\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by -120.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - f - 4)*(61*f**2 + 3*f**4 + 4 - 61*f**2).\nAnswer: -3*f**5 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3252475 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -536 - -540. Sort v, -5, -4, -57 in increasing order.\nAnswer: -57, -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 55276158?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 - 54. Let d = 183 - c. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.8. Suppose -85*k = 111 - 84 + 228. Let x = -0.1 + 0.1. What is the nearest to x in h, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5 - 0. Suppose 0 = l*m - 4*m. What is the third derivative of w**2 - w**5 + 2*w**3 + m*w**3 - 2*w**3 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11370751 - 11?\nAnswer: 11370740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*b. Suppose 5*q = -5*g + 235, 0 = -0*q + b*q + 3. Let r = g - 13. What is the remainder when r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four thirds of a year?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -49, -54, -59, -64, -69?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.000879 and -0.08.\nAnswer: -0.00007032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 4*q - 9*q**2 + 2 + 3*q to i*q**2 + y*q + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (471\/157)\/(1\/((-164)\/(-36)*-3)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a*a*a*a\/a**1))\/a)*a)\/a*a\/(a*(a\/a**(2\/5))\/a))\/(a**3\/(a**(-1\/5)\/a))*(a**(3\/7)\/(a**9*a))**(3\/20) assuming a is positive.\nAnswer: a**(-173\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539 - 270 - 42391*r - 270.\nAnswer: -42391*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + z. Let m be (-2 - -2)\/(-1)*1. Suppose 5*r + 0 + 5 = m. What is the units digit of q(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18 - (-14 + -2)\/4. Does 5 divide (-4)\/a - 66\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dquq when four letters picked without replacement from dqdwswqquuquwuduuqu?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 22*o**2 + 15. What is the remainder when 252 is divided by s(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 360210165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10283285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -0. Suppose 0 = -10*a + 47 + 13. Suppose 5*k - 18 = -2*b, -b + a = 3*k - u. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(84) - sqrt(84)*3) + sqrt(84))*-4 + sqrt(84))*4)\/(-5*((sqrt(108) - 2*sqrt(108)) + sqrt(108) - sqrt(108))*6).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:17 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*1 - ((-420)\/(-12))\/(-35). Let z be 3\/(-5) + (-4)\/10. Let f = 5 + z. Solve -f*y - 5*q + 13 = 0, 0 = j*y - 10*q + 5*q - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {c: 1, q: 2, b: 3, m: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 2021*q**2\/3 + 92806*q\/3 - 338824\/3.\nAnswer: -(q - 41)*(q - 4)*(q + 2066)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 6649?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 + 212. What is the first derivative of a*k**3 - 290 + 2*k - 264 + k**3 + 608 wrt k?\nAnswer: 63*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8184 and 4554?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 19 = -18*p. What is the greatest common divisor of 304 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*12\/(-18)*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(0*g + 0*g - 4*g)*(3*g**2 - 6*g**2 - g**3 + g**2) to the form h*g**2 + o*g + v + a*g**4 + q*g**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 300624*k**2. Let b(o) = 28*o**2. Give g(b(x)).\nAnswer: 235689216*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/60 - 5*h**4\/24 + h**3\/3 - 2*h**2. Let w be k(-5). Let 3*i**2 - 3*i + 11*i**w - 17*i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 4*v - 5*v + (-1 + 1 + 2*v)*(-4 + 3 + 4) - 93*v + 7*v + 7*v + (2 + 1 - 4)*(2*v - 2*v + 2*v).\nAnswer: -77*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -82*n**3 + 2*n**2 + n - 2. Let x be k(1). Let c = x - -71. Calculate the common denominator of c and -61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125885\/51 + (-4)\/(-6).\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**4\/24 + 3391*s**2. Let h(b) = 5363*b. Determine k(h(p)).\nAnswer: -5363*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-225))\/1)\/((-2272)\/(-11928))?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 926*h - 4. Let v(d) = -d**2 + 31*d + 1. Let z(s) = q(s) + 4*v(s). Factor z(l).\nAnswer: -3*l*(l - 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/7)*m)*m)\/(m*m**2)*(m**(-1\/4)\/m)**15*(m**1\/m*m)**(24\/7)\/(m\/(m\/m**(-1\/4)))**(2\/17) assuming m is positive.\nAnswer: m**(-8163\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30*y - 23*y - 226*y.\nAnswer: -279*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*i**5*l**2 - 6*i**3*l**3 - 2*i**2*l**2 + 24*i*l**3 + l**2 wrt i?\nAnswer: 1020*i**2*l**2 - 36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*y - 601 = 260, -2*b - 3*y + 557 = 0. What are the prime factors of b?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 6\/(-2) + 0. Let y be 18\/(-4) - 2\/b. Is (-210)\/(-4) + (-6)\/y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 - 2*l + 3. Let h be g(10). Let n be 1560\/h - (-28)\/49. Let f = -9587\/1834 + n. Calculate the common denominator of f and 111\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6 - 162*q + 3 + 161*q + 3. Let i(m) = 7*m + 3. What is -5*b(u) - i(u)?\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10860*a**2 - 20227*a**2 + 9363*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.31, -6, 0.3, 1\/12, -3 in descending order.\nAnswer: 0.3, 1\/12, -0.31, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 - 157*b\/3 + 294 = 0.\nAnswer: 49\/6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48954 - -49029. Let j(n) = -1 - 2 + 4*n + 2. Let g be j(4). Calculate the greatest common factor of g and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230606928.\nAnswer: 2, 3, 59, 27143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 392*g**3\/5 - 1825737592*g**2\/5 - 260819662*g\/5 - 9314988\/5 = 0.\nAnswer: -1\/14, 4657494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -568233892403.\nAnswer: 568233892399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2*g + 2*g - g) + 878*g + 649*g - 459*g + 20*g + (-g - 2 + 2)*(0 + 0 - 1).\nAnswer: 1091*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbllclebceculc. Give prob of picking 1 c and 1 e.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00209 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61679172 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/(-7) + -2 + 44\/(-154). Solve 12 = -3*v + d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302\/3 or -102?\nAnswer: -302\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4739.287 decades in centuries?\nAnswer: 473.9287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.88 - -11. Let l = 2.12 - y. Suppose 250 = 47*i - 57*i. Which is the closest to -0.1? (a) 3\/5 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*n - 65*n + 326. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1042421 (base 5) to base 11\nAnswer: -12986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7112211 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 40 (b) 34\/5183 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3955, -1, -915 in decreasing order.\nAnswer: -1, -915, -3955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22089 and 888.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 27*u**3 - u. Let o be h(1). Let q be o\/((-1)\/((-75)\/(-6))). Let s = q - -3253\/10. What is the common denominator of 49\/4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k - 13. Let h = -4 + -2. Let q(g) = 2*g + 3. Let a be q(4). Let f(b) = 2 + 0 - 12*b + a*b. What is h*s(u) - 39*f(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7165 times 10445?\nAnswer: -74838425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -630?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00147987 rounded to 5 decimal places?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 217236979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70, -180, -306, -400, -414, -300, -10?\n\"Answer: 8*r**3 - 56*r**2 + 2*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 4*k**2 + 3*k - 3. Let f be l(-5). Suppose -7 - 7 = -f*i. Let w(c) = -4*c - 1. Let r(s) = 21*s + 4. What is i*r(x) + 11*w(x)?\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from yymeayyummqqeyyqmq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 + 7*b + 1. Let g be y(6). Let q = 389\/51 - 22\/17. Let c = g - q. Is c < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djkjhjdddjjjjjjjh. Give prob of picking 2 h, 1 j, and 1 k.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*l - g + 13, 5*g + 17 = 4*l. Let z = l - 3. Suppose -5*k + 11 + 9 = z. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 64*o**2 + 213*o + 112. Calculate p(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, 0.1, 0.4, -48?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b**3 - b**2 + 217*b + 2 wrt b?\nAnswer: -84*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 71 - 2855\/40 - (-570)\/(-16)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 30*u + 10. Let v be (-20)\/(-70) - (726\/(-14))\/(-3). Let m be o(v). Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - 7*r + 8. Let x(k) = 6*k + 195. Let n be x(-32). Determine l(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p**2 - 3*p + 4. Let h be m(1). Let c(u) = -h*u - 21*u - 45*u + 12*u - 3. Is c(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299 divided by -13.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 617822.7km in meters?\nAnswer: 617822700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let c(x) = -2*x**4 - 20*x**3 - 66*x**2 - 82*x - 34. Let i(u) = -c(u) - 2*s(u). Solve i(g) = 0 for g.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*m + 17277, -4179 - 1583 = -c - 4*m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76 + 0?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -17, -33, -45, -47?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6))**16*(q\/(q**(12\/11)\/q))\/q**(1\/3) assuming q is positive.\nAnswer: q**(107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4058371628.\nAnswer: 2, 349, 2907143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + 86*k. Let m(v) = v**2 - 2*v. Calculate -2*j(q) + 6*m(q).\nAnswer: -2*q**2 - 184*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - p + 9, -2*u - 1 - 1 = -2*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-965)\/(-579)*8\/180?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -146, -287, -428, -569, -710, -851?\n\"Answer: -141*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6 + 2 + 138*o**2 - 137*o**2 - 12*o. Determine u(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -753302 (base 10) to base 6\nAnswer: -24051302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 5*j + 1 + 0)*(1 + 3 - 3).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqfz when four letters picked without replacement from zzbffq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12 and -61\/364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 - 2*n**4 - 4*n**3 - n**2\/2 + 17*n\/4 + 5\/2 = 0 for n.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32244 and 12?\nAnswer: 32244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - -1.7.\nAnswer: -69.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3910896 and 27159?\nAnswer: 3910896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022946 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-2)\/(-5)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/42 + (-997)\/(-6). Suppose 2*s = 14 - b. Let p = s + 132. What is the greatest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 1155*r**2 - 78560*r - 1875300.\nAnswer: 5*(r - 70)*(r + 19)*(r + 282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.363 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2967917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -2 + (sqrt(5) - (-3 + sqrt(5) + 1)) + (-4*(sqrt(40)\/sqrt(4) + sqrt(10)) - sqrt(10))\/(-2*sqrt(8)).\nAnswer: 41*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 4*o**3\/5 + 14*o**2\/5 + 4*o\/5 - 9\/5 = 0. Calculate o.\nAnswer: -9\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 522*m - 1508*m - 21*m**2 - 1172*m.\nAnswer: -21*m**2 - 3202*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498 by -24196.\nAnswer: -249\/12098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0120668 to 4 decimal places.\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.0588748843.\nAnswer: -2.0588748843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 4. Suppose -15*z + 14*z = -l. Suppose -5*n + x + 3 = 8, -5*n = z*x - 10. Solve -5*q + 0*q = n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c1337 (base 13) to base 8\nAnswer: -13167025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-80)*3\/(-21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 3*s + s)*(0*s - 2*s + s) to h*s + v*s**2 + y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -524*j**2 + 1785*j wrt j?\nAnswer: -1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/161 and 14\/299.\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 360, 723, 1086?\n\"Answer: 363*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7639100 to the nearest 100000.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8120925 is divided by 291.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*t + t. Suppose -7*i + 665 = -2*i. Let k = i - t. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*n = 60, -5*n = -22 + 2. Let m = -1 - j. Let w = m + 4. Solve 3*l + 3 = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*(-1 + 4)\/((-5)\/60*-36).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 11 + 0 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004059793 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31433, -31437, -31441, -31445, -31449, -31453?\n\"Answer: -4*p - 31429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*s**2 - 117 with respect to s.\nAnswer: -404*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*h**3*m**3 + h**3*m**2*p + 2*h**2*m**2 + 150*h**2*p - h**2 - 47*h*m**3*p + 24*h*m**2 - m**3*p wrt m?\nAnswer: -84*h**3 - 282*h*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 267.95 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -160. Let x = 76.277 + -74.277. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3930.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376 - 1331 = 5*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/7 - 6995295*i\/7 - 13990586\/7 = 0.\nAnswer: -6995293, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jjjnnnnjjjnn.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 524*d + 327. What is the remainder when c(3) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1066143.4289 and -964.\nAnswer: 1065179.4289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2) + sqrt(2))*-6)**2 + sqrt(96)\/sqrt(3) + (-6*-1*sqrt(22))\/sqrt(11).\nAnswer: 298*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 3*w. Let m = 5 + w. Solve 2*h + 7 = -m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - z**2 + 3 + 0*z - 4 - 4*z. Determine o(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 16*c**2 - 2*c - 29. Calculate s(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.3 + -6.62. What is s rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5563 * 0.03.\nAnswer: -0.016689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 2, c: 1, j: 1, b: 2}. Give prob of sequence zjc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*62\/(-108) + (-7)\/(-14). Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(2\/9)\/c)\/c)\/(c*c**(-5)))\/((c*c**(-1\/11)*c)\/c**(-14)))**40 assuming c is positive.\nAnswer: c**(-54200\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*y - 5 = 0, -5 + 0 = 5*y. Let x(o) = -7 + g*o + 18 - o. Let f = -11 + 17. Determine x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78 times 32314.7?\nAnswer: -25205.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 1218?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-1 - 24\/(-9)). Let w = 13 - 20. Let d(s) = -2*s**3 - 12*s**2 + 15*s + 10. Let l be d(w). What is the nearest to 0.1 in i, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 477*l + 9*l.\nAnswer: -468*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1994*c. Let d(s) = 20*s. Determine r(d(p)).\nAnswer: 39880*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 553 and 247112?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 50 + 3*s**3 - 94 + 47 - 3*s to q*s + z*s**3 + p + g*s**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*n + 31 = -10, -2*n = -a + 11. Suppose -3*r - 2*b = a, b - 38 = 5*r - 10. Let j(p) = -4 + p + 2 + 0*p. Determine j(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75, -81, -87, -93, -99?\n\"Answer: -6*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 867, 3466, 7797, 13860, 21655, 31182, 42441?\n\"Answer: 866*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -395 - 997. Is 36 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Calculate the common denominator of (-1)\/(-1) + 26*7\/126 and 7*3*j\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**32)*z*z\/(z**(-25)*z)*((z**(-10\/9)*z)\/z)\/z*z\/z**(-13) assuming z is positive.\nAnswer: z**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47023\/1950 - -17\/325. What is the common denominator of 5\/6 + 2\/(-6) and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/93247 and 74\/39963.\nAnswer: 279741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263 + 313. Let x be 6\/(-10) - (-4 + (-80)\/f). Solve x*b = -5*k - 40, 5*b + 10 = -3*k + 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.113495 centimeters to micrometers.\nAnswer: 71134.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1335.796 to the nearest 10.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7316, -7421, -7524, -7625, -7724?\nAnswer: -7821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15606 and 3003866.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 7*j**6\/120 + 4*j**5\/5 + 77*j**4\/24 - 390*j**2 + 2*j. What is the second derivative of n(m) wrt m?\nAnswer: 42*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 3*l - 78, -1546*f + 6 = -1550*f + l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 124 = -3*p + 2*x, -4*p - 5*x = -138. Suppose p = -4*y - 0. Let o(r) = -19*r - 37. What is the units digit of o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 13*x**2 + 12*x - 5. Let y be g(13). Let u = y + -45. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -23. Let u = i - -12. What is the second biggest value in 1, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Suppose 3*a - 23 = -4*f, -4*f - 3*a + 19 = -s*f. Suppose 0 = f*i + 7*n - 2*n - 1, -5*n = i + 7. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3110307058 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 14*v - 24)*(-13 - 17 - 56).\nAnswer: 1204*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Let t(a) = 0*a**2 - 3*a + 4*a + 2*a**r - a**3. Calculate t(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-1)\/2*-4). Let b(x) = x**3 - 6*x**2 + 6*x - 5. Let a be b(5). Let k = c - a. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c + 1. Is 5 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 46.\nAnswer: 3, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201459?\nAnswer: 3, 67153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 35931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*n + 3*n - 9, c + 4*n = 7. Let l = 499 + -489. Calculate the greatest common factor of l and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i = 0. Suppose i*d + d - 6 = 0. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 19. What is the nearest to -0.1 in m, -2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 3. Let j be h(3). Let b be (((-18)\/(-3))\/j)\/(-2). Let a = 10 + b. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20463.6449 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20*f = -16*f, -u + 5*f = 2*u. Let y = -6 - -12. Let l be 1*(1\/(-1) + y). Solve l + u = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 7) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 5675265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.928291*-3.\nAnswer: -14.784873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1\/k)**30\/(k**(-1\/15)\/k*k**(-4))*(k*k*k**(2\/3))**(-1\/13)*(k*k**(2\/11)*k)\/(k**(2\/9)\/k) assuming k is positive.\nAnswer: k**(243379\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = -3*y + 27, 5*y = -5*m + 25. Suppose -4*u + 0*u + 20 = -2*h, -2*h - 25 = -y*u. Solve -u*f - s + 19 = 0, -28 = -f - 3*f - 4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - r + 31. Let u be f(-5). Let v = 331\/3 - u. Which is the second biggest value? (a) 0.3 (b) 3 (c) -1\/6 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-8 + -17 + 4 + 26)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/6 + x**2 - 6*x - 1. Let v(y) be the first derivative of h(y). Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/1281 - 52372\/(-42) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -25, -3, -5, 19, 1 in decreasing order.\nAnswer: 19, 1, -3, -5, -19, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7401.95 grams to micrograms.\nAnswer: 7401950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z - 25 = 0. Let c = -100 + 104. Suppose c + z = 3*g. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(1216) - (1 + sqrt(684) + -2).\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3279163 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -238. What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 10:57 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -80*d**2 + 91*d - 6. Let n(j) = -160*j**2 + 183*j - 15. Let w(r) = -2*n(r) + 5*x(r). Find the second derivative of w(u) wrt u.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20537838531.00000063 + 20537838388. Let y = 145 + -2. Let f = a + y. Round f to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w**(-16))\/w*(w\/w**1)\/w*(w\/w**(-1\/3))**(-42) assuming w is positive.\nAnswer: w**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*5074\/(-4). Let v = -621 - u. Calculate the common denominator of -81\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(27) + sqrt(3))*5 + 3)**2.\nAnswer: 120*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 5*t + 8. Let g be j(-8). Let s = g - -30. What is the remainder when 27 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249?\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121300 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -286*u - 2471. What is l(-9)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-4)\/(-3). What is the common denominator of 3 - ((-98)\/(-20) + 0 + 4) and (d - 144\/22) + 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25195717?\nAnswer: 17, 1482101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.253 - -1.453. What is the closest to 1\/3 in h, 2, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/20*15\/2. Let c(t) = -t - 4 + w - 2 - 7. Let h be c(-6). Which is smaller: -5\/3 or h?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2605, 2626, 2641, 2644, 2629, 2590, 2521?\n\"Answer: -p**3 + 3*p**2 + 19*p + 2584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10 and -10\/87?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 347769?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*u**3 - 266*u**3 - 261*u**3 + 843*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -c83?\nAnswer: -c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 + (-112)\/(-20) + -2. Let d(f) = 401*f - 61. Is d(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, b: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*l**5 + 7*l**4 - 2*l**3 - 4*l**2 + 1174*l wrt l.\nAnswer: 18600*l**2 + 168*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s**3 + s**2 - 1. Let b = -16 - -15. Let k = -6 + 6. Let t = b - k. Calculate u(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 + 857077*c**2 + 7677*c + 86 wrt c.\nAnswer: 20*c**3 + 1714154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 835835159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-4) + (-1)\/(2\/3). Factor 5*l - 4*l - 93*l**m - 3*l + 91*l**2.\nAnswer: -2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 203180418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30234 or -30235?\nAnswer: -30234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 16*m**2 - 17*m + 70. Let u be y(16). Let g = u - -209. Solve 3*p - g = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 105 - 93)*(-3*i + 3*i + 2*i)*(-5*i**3 - 5*i**3 - 8*i**3).\nAnswer: 2556*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26851\/145026 - -3\/1151. Find the common denominator of n and 16\/4 - 920\/315.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*h + 611 = 645, 4*l + 27 = -5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 3*y + 2855. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/93 - -163\/2139. Let l = 35 + -12. Suppose -l = 4*p - 3*j, j - 7 = 4*p + 6. Which is the nearest to -1? (a) m (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 - 5*h**4\/12 - 3*h**2 - 4*h. What is o(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22804810 and 6.\nAnswer: 136828860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)\/h)\/((h\/(h*h**(-1\/22)*h)*h)\/h))**25 assuming h is positive.\nAnswer: h**(-3875\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192566 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) + 2094\/54. Suppose 5*z + 3*m - 284 = 4*z, z - 2*m = 269. Suppose b = -4*j + z. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -90, 0, 13, 28, 8.\nAnswer: -90, 0, 1, 8, 13, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 290.24 + -4.24. Let l = r + -286.0167. Round l to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23465 divided by -1156?\nAnswer: -23465\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 46957?\nAnswer: 46960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642411.\nAnswer: 3, 1214137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 2*j**2 - 30*j - 29. Let l be a(-1). Factor 0 + 1\/10*d**l - 2\/5*d.\nAnswer: d*(d - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -954.2396 + 955.6. Round d to two dps.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27689 divided by -530?\nAnswer: -27689\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 9 = 5*s - 24*j, 4*s = -j - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3598)\/2313)\/((-1862)\/228)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5.7. Let u = -87071 + 87031. Put 5, i, 4, u in increasing order.\nAnswer: u, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 - 1*-4. Let q(u) = 5*u**2 - 5*u**2 - 6*u + 4*u**2 - 2*u**w. Let i(n) = -n. Calculate 6*i(a) - q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 41*p = -131, 20 = -4*d + 98*p - 102*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. What is the least common multiple of 6 and z(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + j - 7 = 3*j, 0 = 3*r - 2*j - 9. Suppose -19 + r = -3*w. Let k be (4\/w)\/((-4)\/10). Is -1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 35*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 3:55 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607568 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 221 - 644 + 219 + 212 + 3*u**2 + 5*u - 2*u**3. Calculate t(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f4 (base 16) to base 3.\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 802, 1517, 2232, 2947, 3662, 4377?\nAnswer: 5092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12874819 is divided by 142?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122195.\nAnswer: 5, 24439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/9 + 116\/522)*-15. Put 0.1, 4, b, -4 in increasing order.\nAnswer: b, -4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 - 552*s**3 - 11927*s**2 - 358622373*s.\nAnswer: -36*s**2 - 3312*s - 23854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*((sqrt(2) - (sqrt(2) + (sqrt(14)\/sqrt(28))**2)) + -1) + -2 + (0 + sqrt(2) + 2)*-3).\nAnswer: 3*sqrt(2) + 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w. Let k = 3 + w. Suppose -3*a - 3*u + 30 = 0, 3*a - 20 = -0*a + 2*u. Solve 4*j + 27 + a = k*r, 3*j - 3*r = -30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1081 + 1080.5. Let d = -22 + 16. Which is the nearest to 0.1? (a) d (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-26)\/6)\/(37\/(-222)). Suppose 9*w + g = 11*w. What is the highest common divisor of 80 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 206119*p**2. Let a(g) = 11*g**2. Give a(f(m)).\nAnswer: 467335463771*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148924333\/318 + 468315. Let y = w - -2\/159. Put 0.4, y, -0.14 in ascending order.\nAnswer: y, -0.14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97.7 - 124.85. Let c = 17.64 + n. Round c to 1 dp.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 3*c**2 + 2*c - 1. Let w be s(2). Let u be 0\/((-3)\/(-1) + w). Let q = -295\/9 - -33. Is q greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984078711 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from {w: 1, t: 3, o: 4, m: 2, p: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -41*n**2 + 2*n + 19. Let r(j) = -23*j**2 + j + 10. Calculate 11*r(x) - 6*u(x).\nAnswer: -7*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/8)\/c)**32 assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f. Let t be (-9)\/(27\/(-2886))*(-1)\/(-2). Let g(b) = -6*b - 481 + t. Calculate w(g(r)).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 85.7. Let o = -5.9 + i. Let l = -4.07 + 0.07. Put -1\/2, o, l in descending order.\nAnswer: o, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 52*v**2 + 19*v - 19. Let i be f(1). Solve -2*q = 11*q + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*j - 97, 0*j = j - 4*d - 5. Let z = 166 - 162. Suppose -z*s - s = -85. Are s and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {t: 1, v: 6, s: 3, n: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 154\/(-42) + -1 + 5. Which is the smallest value? (a) -0.5 (b) -2 (c) 1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ab (base 15) in base 3?\nAnswer: 211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in 0.3, -1, 0.2, -0.4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r**3\/2 + 504711*r**2 - 6065003934*r - 1732899468 = 0.\nAnswer: -2\/7, 24034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 4:07 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(30)\/sqrt(3)) + -4 + (2 + sqrt(8))*-1.\nAnswer: -6 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -9*q**5\/5 + 3*q**2\/2 + 488*q - 535. Differentiate v(r) with respect to r.\nAnswer: -36*r**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 - -14.\nAnswer: 13.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -0. Let g = -294 - -289. Which is the smallest value? (a) s (b) g (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 19\/(-3))*-12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y - 2 = 0. Let d be (-12)\/(-16) + y\/8. Let u = -327 - -332. Solve d = l + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:44 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657407566 is divided by 219135847?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 22*s**2 + 16*s + 25. What is the units digit of y(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 - -1089. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/7 (b) 0.3 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6601?\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)\/(4\/6). Suppose 2*y = 3*y + v*w, -4*y + 3*w = -15. Calculate the smallest common multiple of 4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -0.59?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-266)\/136 - -2). Let v = 75 + f. Calculate the remainder when v is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -40, -463, 16, -2 in decreasing order.\nAnswer: 16, 9, -2, -40, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -3 (c) -128.2 (d) 3 (e) 23 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 369 (c) -2\/5 (d) -4\/7 (e) 0.2 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.473082*-0.5.\nAnswer: -1.736541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20240 divided by 4.\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147) + sqrt(147)*2 + -5)*1 + 3)**2.\nAnswer: 42*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -c - 4*h, 5*c = h - 35 + 1. Suppose 4*u + 8 = 5*d, -d + 0 = -u - 1. Sort d, -4, c in ascending order.\nAnswer: c, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10423 is divided by 82.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.4033 + -9.1033. Let x be (1\/2)\/(9\/12). Which is the nearest to j? (a) x (b) -0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.6, -0.4, 17.66, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158741 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.262 + 0.038. Which is the third smallest value? (a) 21 (b) 6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25092?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -3)*44\/(-16). Suppose 2*h + 3*a = -j, -4*h + 0*a = -3*a + 13. What is the tens digit of -3 + h\/(-4) - -45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-490)\/(-28)*((-8028)\/378 + 21)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -716 - -2?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-152)\/(-114)*65235\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3439813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937498076 to the nearest integer?\nAnswer: 30619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 6*u = -u + 16, 3*l = 2*u + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264410 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 8*s - 3*s - 3*a, -a - 109 = -2*s. Let w(k) = s*k - 44*k - 2 + 2. Let x(y) = -3*y - y + y. Determine w(x(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 2*s - s - 1141.\nAnswer: s - 1244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 5a9c1?\nAnswer: -5a9c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -410 + 410 - 56*i + (0 - 2 + 5 + (2 - 1 + 1)*(2 + 0 - 1) + 1 + 1 - 3)*(-3*i + 3*i + 2*i) - 5*i + i + 2*i.\nAnswer: -50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**4\/12 + g**3\/6 + 2*g**2. Let y be r(-1). Find the common denominator of -1 + (y - 327\/12) and -79\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5244 and -0.034?\nAnswer: 5243.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16622 = -146*r + 2650. Which is bigger: r or 131?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 11*l**2 + 16*l + 3. Let g be x(-12). Let n = g - -88. Let o(k) = 0 + n*k**2 - 42*k**2 + 0. Let m(a) = -2*a. What is m(o(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10628*-13\nAnswer: -138164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 - (0 - (4 + -11)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 6*d - 6*d + 45*d**3.\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 7*r + 6*r)*(5*r - 3*r + r)*(-23 - 6*r + 23) as z*r**3 + w + a*r**2 + b*r and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70302 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110133212 - 20?\nAnswer: 2110133132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.6 - 6.4. What is the closest to 0 in -6\/11, t, -3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1495 and 2760?\nAnswer: 35880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(15)\/sqrt(3) + (sqrt(5) - (-3 + sqrt(20)\/sqrt(4)))**2 + ((2*sqrt(80))**2 - sqrt(10)\/sqrt(2)*-1)*-1.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/1675 and 119\/3350?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225453 and 87639?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 264, 0?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8459 + -5482?\nAnswer: -1191b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 72 = -30 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1836\/8)\/17*(-52)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, -4, -0.5, -2\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68)\/sqrt(4)*2 - -4*(sqrt(17) - sqrt(34)\/sqrt(2)) - 6*(sqrt(85)*2)\/sqrt(5)))**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 + 161*b + 945. Give c(-6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 0*s + 0*s**2 + 8\/3*s**3 + 10. Let p(a) = 13*a**2. Give p(w(f)).\nAnswer: 832*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ebbbbeebebeeeggbbee.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 5*i**2 - 13*i + 11. Let o be -2*6\/(-12)*-9 - -2. Let d be q(o). Solve -12 = d*w - 4*y, 0*w - y + 7 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10*-8)\/((-81)\/(-405))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/454793 - 26820907\/1080588168. Find the common denominator of b and 115\/264.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ddhdqqhhhqdddhdd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1461 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5)\/4)\/(123770\/(-9520) - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -14 + 7 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5. Let m(q) = -505*q - 32. Determine -m(i) - 6*y(i).\nAnswer: 505*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 75 = 315. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n - 3. Let q be 12\/9 + (-2)\/n. Suppose g = q*g - 14. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -74\/371, -2\/19, 1\/6, -1\/2?\nAnswer: -74\/371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -44. Let f = -67 + z. Calculate the remainder when 50 is divided by (f\/(-6))\/((-18)\/(-54)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/227 or 2\/65?\nAnswer: 7\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 - 4*a + 43 + 48 + a**2 - 3*a**3 to the form i + g*a + o*a**2 + w*a**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 17. Let l be o(-15). Which is the nearest to -3\/5? (a) -2 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -531\/1216 - -33\/64. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65156 rounded to two decimal places?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6*(5 - 2). Suppose f*u = u + 3. Put 2, u, -11 in descending order.\nAnswer: 2, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000641179 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-2)*((-720)\/(-252))\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444285 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213738 and 129406.\nAnswer: 19022682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**3 + 13*a**2 - 32*a - 21. Let w(q) = 3*q**3 - 4*q**2 + 11*q + 7. Let o(n) = 4*s(n) + 11*w(n). Is o(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195.6959 rounded to the nearest 10?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3069*u + 44453*u - 12375*u.\nAnswer: 29009*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.255 - 0.245. Let y = d - 4.00999693. What is y rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258153 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 50*s**2 - 3709*s - 19. What is the hundreds digit of h(91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/56)\/(2241\/(-216) + 11)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163045.27 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/175)\/((-16)\/(-75334)). Let t = 807 - x. Find the common denominator of -59\/22 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*p = 4*n - 6, 2*p + 25 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.4929 millimeters to kilometers.\nAnswer: 0.0007984929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/3867 and 91\/24?\nAnswer: 30936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31435156 and 7120.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1.581579.\nAnswer: 7.907895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(1216)*-2).\nAnswer: -9 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - q = 2*q - 8, 4*h - 3*q + 4 = 0. Which is the closest to 6? (a) h (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*(-13 - (-35)\/7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -4.85 (c) -2\/223 (d) 0.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1354?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 214 - 46 = 0. Solve 16*j = q*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2265399ms to minutes.\nAnswer: 0.000003775665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 >= 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/3 + 942*p + 665523 = 0. Calculate p.\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 + 4300 = 7*o. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(n - 7 + 6 + 8*n) + (-6 + 2 + 3)*(-16 + 9*n + 16).\nAnswer: -27*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + i + 53 = -10, -2*i + 21 = a. What are the prime factors of -3*7\/(a\/(-34))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose 2*h = 19 + 3. Let f = -11 + h. Solve -2*a = 3*a + 4*l + 25, f = r*a + 2*l + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-91)\/(-21) - 21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmkm when four letters picked without replacement from mmkmjnnkxjmnkknnn.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 851, 3493, 7935, 14171, 22195?\n\"Answer: -z**3 + 906*z**2 - 69*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 850388579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - j + 96 - 84, -4*j = 3*s - 41 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 17*s - 32*s - 38 + 24 + 21*s.\nAnswer: 6*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -4*k**7\/15 + 7*k**5\/15 - 2*k**2 + 4. Find the third derivative of m(f) wrt f.\nAnswer: -1344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178136812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1317*o**2 - 1299*o**2 - 2*o**3 + 2579*o**2 - o + 2 in the form n*o**2 + g*o + p + x*o**3 and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 351\/18)*(-8)\/10. Calculate the common denominator of m - 2 - 6 - (-155)\/(-20) and -101\/364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137441667?\nAnswer: 3, 11, 53, 78583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-84) + 312\/3168. Which is bigger: 5\/3 or q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**2 + 0*p**2 - 3*p**5 + 14*p**5 wrt p.\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 103. Solve -6*n - i = -11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u + 5*x, -2*u - 5*x - 4 = -4*u. Let i be 1\/3*u\/(-38). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78091\/5 + 15619. Find o, given that 8\/5 + 12\/5*o + w*o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 348966*s**2*z**2 + s**2 - 3*s*z - 4*s - 332993*z**2 wrt s.\nAnswer: 697932*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -3757074787.\nAnswer: -3757074792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 5. Let f(j) = -j - 1. Let z be (435\/(-24))\/(-1) + (-4)\/32. Suppose z = -5*h - 2. Let x be -3 + (2 - h)\/3. Determine x*r(n) - 2*f(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*l**2 - 263*l**2 - 480*l**2 + 1174*l**2.\nAnswer: -232*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319295235.\nAnswer: 3, 5, 7, 3040907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91527 times -0.08?\nAnswer: -7322.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * -0.6\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 89, 217, 399?\n\"Answer: 27*p**2 - 7*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6304 - -6304. Factor -2\/9*w**2 - 1\/9*w**3 + h + 1\/3*w**4 + 0*w.\nAnswer: w**2*(w - 1)*(3*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - m**2 - 6*m. Let u(h) = h**3 - h. Give -2*p(f) + 11*u(f).\nAnswer: -f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10999)\/51 - 15) + (-3)\/9. Put 8, 4, g in descending order.\nAnswer: 8, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*i**4\/3 - 748*i**3\/3 + 92*i**2 + 748*i\/3 - 296\/3 = 0. Calculate i.\nAnswer: -1, 2\/5, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11541216 divided by -6?\nAnswer: 1923536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -2*w - 5*x, 2*x + 1451 = 3*w + 4*x. Calculate the highest common factor of w and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149507 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 196*b**2 - 1773*b - 4220. Calculate a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 5 - 11) + (-7 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m + 349 + m**2 + 17*m - 238. Let v be t(-8). Sort -5, 2, v in descending order.\nAnswer: 2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 - -192. Suppose 17*c - 14*c + 31 = -5*w, -n*w - c = 21. Let d = -3 - -5. Sort d, -3, w.\nAnswer: w, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -40. Let b = 10.9 - s. Are 0.4 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k + 11*k + 5*k to f*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/5)\/(-4 - 2)*102\/120 and -67\/500.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {e: 5, b: 5, y: 2}.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9 + 10*t - 6*t - 9 + t**3 - 4*t**2. What is c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -4. Is -12 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o + 216 = 0. Let z be (5\/2)\/((-27)\/o). Let u(a) = 4*a + 10. Let r(s) = -2*s - 5. Let p(l) = 9*r(l) + 4*u(l). Give p(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jru when three letters picked without replacement from rrrrurymjerymymrjj?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916520 divided by -42890?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 830593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 28*i**2 + 65*i + 1029. Is 24 a factor of o(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-33)\/(1089\/110).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + sqrt(1300) + sqrt(1300) + -3 + 4)**2 + -5*(2*(sqrt(1300) - (sqrt(1300) + 4)))**2.\nAnswer: -160*sqrt(13) + 4892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003561631 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*n - 32, -2*h + 2*n + 8 = -2*n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 1. Let k be u(1). Let f be 14\/2 + k\/(-1). Let x = 31266 - 31265. Sort 2, f, x in descending order.\nAnswer: f, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162129 plus 9466?\nAnswer: 2171595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -68267 divided by -11\nAnswer: 68267\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z - 33. Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 11. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:03 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-1 + -437)\/2. Let j be (1 - 1)\/(-1 + 0 - 1). Suppose -2*p + 5*f + 20 = j, 15*f = -p + 11*f + 36. What is the highest common factor of x and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 4, b: 2, p: 3}. Give prob of sequence ptt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 27546*f - 12031. Let v(j) = 9182*j - 4013. Let i(t) = -10*v(t) + 3*y(t). What is the first derivative of i(b) wrt b?\nAnswer: -9182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:52 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/108*3\/(-10)*318\/53?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 646*k + 4 - 516*k.\nAnswer: -1162*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -1. Let t = -42001 + 42005. Which is the biggest value? (a) 1.1 (b) h (c) 3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/200 - 13*j**5\/100 + 21*j**4\/20 - 291*j**2. What is w in q(w) = 0?\nAnswer: 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1017003*m**4 - 15*m**2 - 7880443*m wrt m.\nAnswer: -12204036*m**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 786, 784, 782?\n\"Answer: -2*l + 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*(((b\/((b*b**(2\/17))\/b))\/b)\/b)\/b)**(2\/5) assuming b is positive.\nAnswer: b**(-106\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38.57 (b) 0 (c) 1\/9 (d) -1\/5 (e) 10.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6027332.99 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from iijifdfid?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c + 10 = 0, -4*b + 332 = 4*c. What is the tens digit of b\/6 + (-1)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 522344 times -365\nAnswer: -190655560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l - 3. Let k be i(4). What is the greatest common factor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 9*v**2 - v + 10. What is the hundreds digit of t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from {v: 12, p: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 131697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*((sqrt(36) + sqrt(216)\/sqrt(24))\/sqrt(9))\/(sqrt(162) - -6*sqrt(162)*1))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 10*h**2 + 11*h + 13. Determine n(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264759651?\nAnswer: 3, 13, 754301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 94933 (c) -2\/51 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1182, 2, 244, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -570 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-12 - (-44 + 39)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 6. Let z = -26 - -31. Suppose -z = 3*j - 2*x, j = 6*j + x - 9. Which is the nearest to 2\/3? (a) j (b) -2\/13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Let l(k) = 8*k - 3 + 2 - k**2 + 2*k**z. Calculate l(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31892982 and 17632?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.933 - 2.9. Let i = 276 - 276.033. Let q = h + i. Is 7 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 5*b + 0*b + (2*b + 3*b - 3*b)*(19 + 17 + 5) - b + b - b to the form f*b + x and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197688.\nAnswer: 2, 3, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 223794719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 3477.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*u = 6*b - 20, 16 = b - 5*u. Let t = 336 + -334. Solve b = -t*d - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s - 1. Let q(t) = 10 - 21 + 12. Let w(d) = 0 - 3*d + 4 + 3*d - d. Give s*w(k) - 6*q(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.03, 8\/3327, 1.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 + 8*d - 6. Let l be m(-9). Let c = l + 0. Suppose -3*q + 17 = 4*r, -6*q + 3*q - 18 = -c*r. Solve -r*h + 12 = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*a + 397. Let f be 8\/((-4)\/56*-4). Let c = a - f. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16170 and 3920.\nAnswer: 129360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 - 8 = 0. Suppose -m = -3*q - 9, -5*m - 3*q = -o*q - 17. Suppose 0 = -m*b + r + 1245, -3*b = -3*r + 8*r - 1245. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Let u(y) = -14*y + 4. Calculate 6*d(f) + u(f).\nAnswer: -8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((8\/(-22))\/(414\/(-759))). Suppose -v = -5 + 6. Suppose -c + 2 = -z - 1, 0 = -5*z - 2*c - 22. Put g, v, z in descending order.\nAnswer: v, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97? (a) 1 (b) 2\/5 (c) -2 (d) 0.1 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3506141.8 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-3369)\/42*-2 + (-28)\/(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -633*o**3 - o**2 - o. Is i(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -915665, -3662653, -8240965, -14650601, -22891561, -32963845?\n\"Answer: -915662*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b. Let g(z) = 3*z. Calculate o(g(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5 - (-41741)\/(-54810). Let x = y - -5\/54. Let u = 23\/87 - x. What is the nearest to -2\/3 in 2, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let w(h) = 5*h - 2. Let b(d) = -6*u(d) + w(d). Suppose 0 = k + 3*k - 4*r + 8, 3*r = -k + 14. Let x(v) = -v - 3. Calculate k*x(o) - 3*b(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13be5 (base 16) to base 7\nAnswer: 454525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*o - 14 = 0, 2*o + 18 = 49*r - 50*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(1 + -3 + 1). Let o be ((-60)\/9)\/(4\/(-6)). Suppose 0 = -0*g + 2*g - o. Solve -c + g + v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19456 and 336?\nAnswer: 408576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 n when three letters picked without replacement from {n: 1, f: 1, h: 1, b: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyykkkykyyyyyyyky?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffx when three letters picked without replacement from {f: 3, h: 2, x: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a factor of 14371840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25b (base 15) to base 5\nAnswer: -4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4\/2 + 1113783*r**3 + 40097223*r**2\/2 - 23389953*r - 42324780 = 0. What is r?\nAnswer: -19, -1, 2, 742540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, -4, -20, -1 in descending order.\nAnswer: 4, 1, 0, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 31*k**2 + k - 5. Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -12\/5. Let n = -307 - -329.1. Let c = n - 22. What is the second smallest value in f, c, -1.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202365357\/4 or -50591340?\nAnswer: -50591340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 + -210. Let l = 251\/7 + -36. Which is the closest to v? (a) 0.5 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = o - 3*b + 8, 3*o - b = -34. Let q = -8 - o. Put -4, q, 0 in ascending order.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11763 divided by -1307\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11896 + -7952. Does 84 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8726780 is divided by 902.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*q - 71658 = 2128*q + 1407*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 336411?\nAnswer: -336406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -53*k + 3921. Calculate the least common multiple of r(36) and 27.\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5109 + 5104. Let l(h) = h**2 + 6*h + 3. Let p(t) = t**2 + 13*t + 5. Determine n*l(a) + 3*p(a).\nAnswer: -2*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 - -11 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*h - 4 - 52. What is the third derivative of 241*d**4 + 99*d**h - d - 111*d**2 + 65*d**2 wrt d?\nAnswer: 5784*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 25962867*l. Let x(c) = -2*c**2. What is u(x(p))?\nAnswer: -51925734*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/3 + 1708*b**2\/3 - 3412*b\/3 = 0.\nAnswer: 0, 2, 1706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 343807 and 200876?\nAnswer: 17877964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*z + 685 - 569 = 0, -4*m - 24*z - 1476 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94093, 376443, 847037, 1505881, 2352981, 3388343, 4611973?\nAnswer: 6023877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -21*b + 426. Determine i(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1\/2 (c) -1\/2 (d) -1\/231 (e) 120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x. Let h be ((-2)\/3)\/((-3)\/(-18)). Let l be h\/(-2)*18\/12. Let t(p) = l*p**2 + 4*p**2 - 8*p**2. Give y(t(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)\/(q**5*q))\/((q\/(q\/(q\/(q**(2\/9)\/q*q*q)*q)))\/q**(6\/5)))**(-43) assuming q is positive.\nAnswer: q**(1247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-2)\/(-15)). Suppose b*k - 22 = -2. Let d = 1049 + -1049. Solve k*u - 2*u = d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b, -12*b + 51 = 2*l - 7*b. Let m be (0 + (-2)\/4)*-214. Suppose -5*c + 5 = f + 1, -4*c - m = -5*f. Are f and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115538200 divided by -11553820\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14759, -59033, -132823, -236129?\nAnswer: -368951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*b - 2417 = 5678 + 2870. Solve 0 = -b*w + 35*w - 32 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*k + 28, 4*k = a + a + 32. Let j(b) = -2*b. Let r be j(-1). Let i(z) = 6*z + 4 - 45*z**3 - z - 7*z**r + 46*z**3. Calculate i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8047126.2 - 4185133?\nAnswer: -12232259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooloool.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5500 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-25)\/(-10))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18761?\nAnswer: 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 282 - 222. Let z = 13 - 9. Let c be (9 + -9)\/(-1*1). Sort r, c, -2, z.\nAnswer: -2, c, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4038\/24 - 5\/20. Suppose -14*o - p = -28. Let d be (-1 - -9)\/(-2 + 1). Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14351.979 + 14352. What is the second biggest value in 2\/15, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142585 divided by -1911.\nAnswer: -142585\/1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2833 is divided by 869?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33*d - 69. Let b be a(10). Calculate the greatest common divisor of b and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/9 (b) -5 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.000865 * 323\nAnswer: -0.279395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 3*x + 21, 2*n = -2*x + 26. Suppose 0 = 3*v + 2*f - 4, -2*v + f + n = -0*v. Sort v, 5, -7.\nAnswer: -7, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3)*86\/((-21070)\/105))\/((-1)\/(-217))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - h. Let d(q) = 2*q**2 + 41*q + 2. What is -d(o) + 4*f(o)?\nAnswer: 10*o**2 - 45*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26480797 to the nearest integer?\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 + 5*4). Suppose 3*s + 4*q - 8 = p, -s - 3*q = -18. Let g = 6 - s. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27535*x - 23564.\nAnswer: -27535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**2 - 15*j - 27. What is b(-4)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*c + 7 = 0, b - 5*c = -0*b + 1. Let d be b\/(-6)*3 + 1. Factor -5 + 1 - 3*j**d + 4.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-44.9497.\nAnswer: 17.97988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4358*y**2\/3 + 68234*y + 5828\/3.\nAnswer: -2*(y - 47)*(2179*y + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 10 + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*s + 98 = 3*v, 126 = 3*v + 3*s. What is the nearest to 1\/4 in v, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -28*s**3 + 5*s**2 + 11*s + 21. Is o(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 6}. Give prob of sequence ett.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 30454.\nAnswer: 578626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + 18*x + 12. Calculate p(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - s + 3755 = 0, 3*g - 3072 = 3*s - 801. Let w(n) = -n**3 + n**2 - n - 4. Let k be w(-7). Let a = k + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28801696 to the power of 1\/2, to the nearest integer?\nAnswer: 5367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (1 - 4))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 3*i**4\/16 - 33*i**3 + 3267*i**2\/2 + 3566. Factor l(j).\nAnswer: 3*j*(j - 66)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/(3 + -4). Suppose -k = -3 + h. Suppose -k*p + p = -10. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -45809 and -45801 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 166752 + 223341. Let l = n + 87031. Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 414 - 417. Which is the third smallest value? (a) t (b) -0.4 (c) -3\/5 (d) -6\/13 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let j(z) be the second derivative of -1\/6*z**3 + 0 + 0*z**2 + z. Calculate j(t(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**4 + m**3 + m - 1. Let d be -1*-20*(-5)\/(-5). Let a(x) = 5*x**4 + 7*x**3 + 27*x**2 + 21*x + 12. Let b(l) = d*g(l) + 5*a(l). Factor b(s).\nAnswer: 5*(s + 1)**3*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.61 + 0.61. Let h = v + 9. Let x = h - -23. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -302, -1185, -2654, -4709, -7350, -10577, -14390?\n\"Answer: -293*b**2 - 4*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 83*s**2 - 2*s - 1. Let o be l(-1). Let g = -34174 + 34230. Calculate the highest common divisor of g and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 34.4. Put x, -1, -4\/3 in increasing order.\nAnswer: -4\/3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from qqukummkkqk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 7*b**2 - b + 4. Suppose 0 = 21*l - 16*l + 25. Let g be m(l). Let f = 13 - g. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3573, -3593, -3617, -3645?\n\"Answer: -2*x**2 - 14*x - 3557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 363*p - 3193. What is m(9)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 210879.\nAnswer: -29\/210879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1745 divided by 4566.\nAnswer: -1745\/4566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48 or 5?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -30. Solve 4*a + 4*x + 10 = -w, 5*x = 4*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 15347506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)\/c*c**(-7)*c)\/(c**(-6)*c\/c**(4\/9)) assuming c is positive.\nAnswer: c**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -34*j**5\/5 - 185*j**3\/6 + 102*j. What is the second derivative of i(y) wrt y?\nAnswer: -816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**4\/6 - f**3\/6 + 6*f**2. Let p(w) = -w. Let s(n) = o(n) + 5*p(n). Let v(m) = -m + m + m + 0. Determine -s(u) + v(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 5 (c) 1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(931) + (sqrt(931) - 4*(3*sqrt(931) + sqrt(931))))**2 + (0 + sqrt(931)*-2 + 4 + sqrt(931) + 6*(-2 + sqrt(931)))**2.\nAnswer: -889121 + 3360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -90, -301, -710, -1383, -2386, -3785?\nAnswer: -5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 - 4.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2096 divided by 8\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/4 + 7*z**3 + z**2\/2 + 29*z - 21. What are the prime factors of b(21)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**3\/6 + 11*q**2\/2 + 3*q. Let a = 12 + -7. What is the units digit of h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 2*h + 3 - h**2 - 4*h**2. Let y = 2 + -4. Let g(u) be the third derivative of -u**5\/15 + u**4\/12 + u**3\/3 - 5*u**2. What is y*m(r) + 3*g(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5340)\/(-178)*((16\/14)\/(-2))\/10?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 305*k**2 + 40260*k + 77. Give b(-132).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 70411737?\nAnswer: 492882159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51069199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 33 - 6)*(6*z**3 - 3*z**3 - 2*z**3)*(2*z + 2*z - 2*z) to the form a + j*z**3 + w*z**2 + s*z + v*z**4 and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*w + 261*w + 29904 = 144*w for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -18. Let o = 16 + s. Let d(p) = p**3 + 30*p**2 - 26*p + 151. Let x be d(-31). Which is the closest to -2\/3? (a) o (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 99 (b) -6\/7 (c) 0.2 (d) 3\/2 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152\/3 - -3*(-6)\/(-54). Let p = 220 - q. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25312, 25317, 25322, 25327, 25332?\n\"Answer: 5*c + 25307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 266717 <= 266588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:10 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.6. Let m = -14 - -13.89. Let t = m - -5.11. Sort t, 0, l.\nAnswer: 0, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3402 (base 5) to base 6.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144430\/51 - -2832. Which is the third biggest value? (a) -4 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*v + 13*v - 752 - 436 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 11*s**4\/24 + 5*s**3\/3 + 4*s**2. Differentiate j(i) with respect to i.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8390944?\nAnswer: 2, 262217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 - -154. Sort l, 0.5, 0.6 in decreasing order.\nAnswer: 0.6, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*n**3*y**2 + 2*b**3*n**2 + b**2*n - 6*b*n**3*y**2 - b*n**2 - 2*y**2 wrt n.\nAnswer: -12*b**3*y**2 - 36*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 3, b: 2, g: 1}. What is prob of sequence lgb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18145*o**3 - 556*o**2 + 8*o - 133902148.\nAnswer: -54435*o**2 - 1112*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -7. Suppose -3*c = 3*i - 9, -4*c + i = -4*i - 39. Let a be c\/3 + 1 + 2 + 1. What is the greatest common factor of k and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 + -302 - (33 - -5) - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1075*j**3*k*p**2 - 1063*j**3*k*p - 21*j**3*p**2 - 6*j*k*p + j*p**3 - 2*k*p wrt p.\nAnswer: 2150*j**3*k - 42*j**3 + 6*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12048, 60711, 141810, 255339, 401292, 579663, 790446, 1033635?\nAnswer: 1309224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:49 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3023342 + -40022?\nAnswer: 2433320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*s**3 - 4335*c*s**2 + 65*c*s + 11338*c + 5*s**2 wrt s.\nAnswer: 6*c*s - 8670*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, -42\/5, 0.0006, 0.5, 2\/3?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 20. Let w be k(-6). Let b be (-390)\/(-840) + 6\/w. What is the nearest to 15 in b, -2\/9, -3\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) 1 (c) 28 (d) 1\/14 (e) 122\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 92. Let s be f(24). Which is the fourth smallest value? (a) s (b) -1\/10 (c) -7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -40. Let m = -0.3 + 0.2. 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: Convert 43723.179s to days.\nAnswer: 0.5060553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60701 is divided by 28968.\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y + 3*y + 0*y in the form j + o*y and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1929, 2, -2\/181.\nAnswer: -0.1929, -2\/181, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, and 1 x when three letters picked without replacement from {f: 1, x: 2, o: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:27 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtq when three letters picked without replacement from {t: 3, h: 1, q: 2, r: 1, n: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9088 <= -9088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 14353 - 43842. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 9 (b) 2\/7 (c) -3375 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 8*k**2 - 265572564*k - 132786284 = 0.\nAnswer: -1\/2, 33196571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n - 1056*n + 11*n)*(2*n**3 - 34*n**2 + 34*n**2).\nAnswer: -2112*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*g**2*r**3*v - g*r**3 - g*r*v - g*v + r**3*v wrt g?\nAnswer: 346*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5600 and 6328?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.6134 and -2.\nAnswer: -12.6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6448230 divided by 3224115.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 1\/2*d**2 + 4*d.\nAnswer: -(d - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**5 - 15*a**4\/4 + 5*a**3\/3 + 15*a**2\/2 - 10*a - 77. Factor c(j).\nAnswer: 5*(j - 2)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*h - 5, 4*h - 5 = -5*u + 2*u. Suppose -6*t = -h*t. Suppose -3*a + 2*w + 3 = w, t = 2*w. Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1.5. Let d = -1.45 + p. Let o = d + 0.45. Put 1, 8, o in decreasing order.\nAnswer: 8, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 1.5, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1659)\/6*((-2)\/18)\/((-4263)\/(-10962))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (7 + -36 + 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94224, -188448, -282674, -376902, -471132?\nAnswer: -565364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 12471 + 29*h + 49*h.\nAnswer: 67*h - 12471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 0*u**2 - 7 + 37545*u**3 + u - 37544*u**3. Let q be s(3). Sort q, 2, -35 in descending order.\nAnswer: q, 2, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -543 - -526.98. Let d = s - -16.2557. Let u = d + -0.222. Round u to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/(-3) + (0 - 0). Let j = f - -21. Suppose -5*c = 4*r - 2*c + 4, 24 = 4*r - j*c. Solve -3*p = r*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25c + 1?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5128186 is divided by 427338.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169692272 and 7170096.\nAnswer: 509076816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3 = 2*s - 11, -s - 33 = -4*z - 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - 2*l + l + 0 + 0 + (1 - 2*l - 1)*(1 - 4 + 2) + 27147 + 89*l - 27147)*(-1 + 1 + l + 2)*(3 - 12 + 5).\nAnswer: -372*l**2 - 744*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4560.9 - -4515.9. What is the fourth biggest value in 1\/2, h, 38, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f**3 - 2*f**2 - f. Let j be r(-1). Let d be (j\/(-7))\/4 - (-981)\/63. Solve 3*n - 3*h = -d, -h + 3*h - 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(9*d - 8*d + 0*d + 43)*(9*d**2 + 0*d**2 - 19*d**2) + d**3 + d**3 + d**3.\nAnswer: 23*d**3 + 860*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 2, 5\/2, 0.1 in ascending order.\nAnswer: -29, 0, 0.1, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vufafuafvxufxuffxf. Give prob of picking 2 v and 1 x.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*a + 8 = -0, 4*w = -2*a. Solve 0*f + 10 = -w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 170 = 8*w - 2*f, -5*w - f = 6*f - 2*f + 280 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/140 and 53\/188.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus -1.10993?\nAnswer: -22.89007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/880 and -95\/6358.\nAnswer: 254320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*c + 2708584 - 2705824 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 = 1. Let u be (-1 - d)\/(-2)*27\/(-1). Is (-1414)\/3*u\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442.2564m to nanometers.\nAnswer: 442256400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnsn when four letters picked without replacement from {j: 8, n: 4, s: 8}.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/3 - 376*w**3\/3 + 17672*w**2 + 95*w + 3. Determine t so that s(t) = 0.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 - q**2 - q - 1. Suppose -6*h = -4*m - 2*h + 4, 0 = 3*m - 2*h - 1. Let n be t(m). Let b be ((-16)\/(-20))\/(2\/5). Solve b*j + n*j = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 17 - (1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 6:42 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g = -1494544 - 1862797 + 298556. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + v)*(1 - 6 + 3)*((0 + 3 - 5)*(2 + 1 - 5) - 7 - 8 - 2) + 2*v + 0*v - 4*v - 3 - v + 3 + (4 - 2 + 0)*(2 - v - 2) - v - 3*v + 3*v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 8*m**2 - 5*m + 1368. Calculate t(6).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f - 3. Let x(i) = 10*i - 1. Determine -7*l(a) + 3*x(a).\nAnswer: -5*a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 261\/16*((-32)\/(-84))\/2. Let s = r + -20\/7. Let z be 2\/(-1) + 4 + -7. Which is the smallest value? (a) z (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/3 - 6)*(-2)\/(-6). Let q be (y - 1) + 4 - (0 - -2). Suppose 0 = q*r - 60 + 48. Calculate the lowest common multiple of r and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23229 divided by -261.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655150 is divided by 2965.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 2:56 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23720 divided by -1?\nAnswer: 23720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6657420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.01 (c) 73 (d) 2195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 6*b**3 + 113 - b**2 - b**4 + 107 - 221 to the form r*b + k*b**2 + n + u*b**4 + o*b**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3378 = -5*c - 653. Suppose -j = -6*j + c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23466*k**2 + 46924*k**2 - 23474*k**2 - 53 + 53.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -4533722?\nAnswer: -4533722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 1. Let f = 21 + -23. Let q(p) = -3. Let v(l) = l - 4. Let m(h) = f*v(h) + 3*q(h). What is 4*m(w) - 5*t(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**3\/2 + 59*f**2\/2 - 9*f. Suppose -b - 2 + 14 = 0. What is the remainder when x(0) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 57 + 15 = 0. Suppose 4*r + v = -5*i, 5*i + 0*i + 2*r = -24. What is the units digit of ((-8)\/6)\/(1\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/(-180) + 2\/(20\/7282)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*-66 + 12\/(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -162*f**5\/65 - 1746*f**4\/13 + 6304*f**3\/39 - 704*f**2\/13 - 892. Factor r(y).\nAnswer: -2*y*(y + 44)*(9*y - 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 3*r. Let j be u(-2). Suppose 0 = 4*x + t - 3*t - 36, 0 = -2*x - 2*t + j. Let s = 20 - x. Calculate the remainder when 129 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67.5 + -150.5804.\nAnswer: -218.0804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 665558*j**5 - 708948*j wrt j.\nAnswer: 13311160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 108*c**2 + 12313*c + 124. Calculate r(-114).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -266, -1064, -2394, -4256, -6650, -9576?\n\"Answer: -266*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/5)\/c**3 assuming c is positive.\nAnswer: c**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 69?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 1. Let h(r) = 4*r**2 + 7*r + 9. What is 5*c(n) - h(n)?\nAnswer: n**2 - 7*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 24*r**2 - 14*r - 134. Calculate q(22).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2, -891, 581 in ascending order.\nAnswer: -891, 2, 42, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-6))\/((-12)\/16*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(((-3560)\/(-324) - 9) + 4 + -6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59 + -0.59. Let u = -57 - -51. Let h be (-8)\/16*((-3)\/u + 0). What is the second smallest value in s, h, 0.02?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6531 - 6530.9999873. Round s to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004020279744 to 7 decimal places.\nAnswer: 0.0040203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 + -1.8. What is the closest to -2 in -4, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5 - 130824*q**4 - 85327*q**2.\nAnswer: -120*q**2 - 3139776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*u. Suppose -5*h = 5*t - 45, 3*h = -3*t - 2*t + 53. What is the remainder when t is divided by ((-7)\/(-2))\/(u\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 38\/(-32))\/(72\/(-96)). Factor -1\/4*h**3 + 0*h - b*h**2 + 0.\nAnswer: -h**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25330, -50863, -76802, -103351, -130714, -159095, -188698?\nAnswer: -219727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 16 + 24)*(3*y + y - 2*y) + (-2*y + 2*y + 2*y)*(0 - 2 + 0) to the form a + f*y and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -634, 196, 1576, 3500, 5962?\n\"Answer: -z**3 + 281*z**2 - 6*z - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26382*r**4 + r + 4984 wrt r.\nAnswer: 316584*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + a**4 + 0 + (-3*a**4 + a**4 + a**4)*(1 + 0 - 3) - 4*a**2 - a**4 + 4*a**2 + 5*a**4 + 0*a**4 + a**4 + (-2*a**3 + 2*a**3 - 2*a**4)*(3 + 3 + 0).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -42.2.\nAnswer: -16.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (66 + -44 - 10)*(-1)\/11\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5 = -17*d + 16*d, -9 = -3*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 6:16 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 73 = -11 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -22, -6 in decreasing order.\nAnswer: 62, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q + 6. Let o be (6\/7)\/(1\/(-7)). Suppose f = -f + 2. Let h(m) = -m + 1. Determine f*g(c) + o*h(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3))\/j)\/j**7*j*j**(-1\/2)*j\/(j\/((j**1\/j)\/j)) assuming j is positive.\nAnswer: j**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16779, 17551, 18837, 20637, 22951, 25779?\n\"Answer: 257*f**2 + f + 16521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329052 + -124522. What is o rounded to the nearest one thousand?\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27625.8 - -27626. What is the nearest to -1 in -1, 1, h, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78760 + -393796\/5. Factor -p*m**3 + 3136\/5 + 228\/5*m**2 - 672*m.\nAnswer: -4*(m - 28)**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 49 = 3*j, -25*f = -29*f + 4. Solve -6 = 10*o - j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 290, -0.02, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.026.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + k**3 - 3*k**3 + 10.\nAnswer: -2*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86535 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, 4, 30?\n\"Answer: 26*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) -0.4 (c) -5 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqwwa. What is prob of sequence wwo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 2. Let f be o(0). Calculate the lowest common multiple of 32 and f*(-30)\/((-9)\/(-3)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {f: 8, m: 1, p: 4, k: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 1, b: 2, p: 1, l: 1}. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*t = -17, -2*y = -3*y - 3*t + 8. Let l be (-2 - 2\/y)\/(10\/(-5)). Which is the nearest to l? (a) 8 (b) -1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0 - 1\/3*z**3 - 6*z + 0*z**2. Let u(a) be the second derivative of -2*a**3\/3 - 124*a + 1. What is u(c(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 27*r + 69. Suppose 4 - 22 = 3*k. Let x = 12 + k. What is the highest common divisor of r and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 265896.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(65)\/sqrt(5) + 2)**2.\nAnswer: 14 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddduddcddgcc.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 282, 950, 2250, 4392, 7586, 12042, 17970?\n\"Answer: 35*z**3 + z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by -4432?\nAnswer: 35\/1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 9 = -4*u, -4*w + 0 = 3*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 9 = 1573*k - 1568*k, -17 = -3*f + 5*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -985, -1969, -2953, -3937?\nAnswer: -4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-19))\/(1012\/(-19228)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-480)\/720.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 1054, 1711, 2456?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770171197?\nAnswer: 229, 3363193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2164*j + 4. Let q(v) = -2163*v + 5. Let m(f) = -4*d(f) + 3*q(f). Let t be m(-5). Is 2\/(-8) + t\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**7\/2520 + l**6\/120 + 3*l**5\/40 + 3*l**4\/8 - 20*l**2. Let h(p) be the second derivative of n(p). Factor h(b).\nAnswer: (b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848\/(-88)*20\/(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 11. What is f(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 2. Suppose 0 = -0*i - 3*i - 5*o - 3, -2*o = 5*i - 14. Let c(k) = 0*k + i - 5 - k. Determine 11*c(d) + 6*m(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 48. Let w = 5 + 42. Suppose 5*f - f - w = -3*k, -4*k = -4*f + l. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/4 + 371*o**3\/4 + 32219*o**2\/4 - 424211*o\/4 - 547215 = 0. What is o?\nAnswer: -191, -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/35 - 155*u**4\/21 + 1738*u**3\/3 - 1694*u**2 - 174*u. Factor o(h).\nAnswer: 4*(h - 77)**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**7)\/d**(-3\/4)*(d*d**(-2\/3))**(-4))**31)**(-2\/63) assuming d is positive.\nAnswer: d**(-2759\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = s - 32, -5*s + 220 = 5*r - 0*r. Suppose 7*p - 3*p - s = 0. Suppose 12*c - 154 = p*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + -5*((-1 + sqrt(637) + sqrt(637) - sqrt(637)) + 0 + sqrt(637)*1*-2))**2.\nAnswer: -140*sqrt(13) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/261071265 and -149\/298367160.\nAnswer: 2088570120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) 2 (c) 1\/22 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/75 - o**5\/25 + 2*o**3\/15 + o**2\/5 + 6*o. Factor l(g).\nAnswer: -2*(g - 1)*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16)\/b)\/b*((b**(6\/11)\/b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-214\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -53*u - 105. Let n(t) = 229*t + 421. Calculate -2*n(o) - 9*z(o).\nAnswer: 19*o + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**2 + 82631581186*w - 82631581186*w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - f = f + 1, 7*s = -4*f + 2 - 11 - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-874)\/92 - (-2 + -9))*6\/45?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-19))**(-1\/24) assuming r is positive.\nAnswer: r**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.463*430223\nAnswer: 199193.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 + c - 11. Let b be f(10). Is b < -22\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95.9 + 90. Let b = 6 + o. Let k = -1.9 - -2. Does k = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14661*r**3 - 16*r**2 + 12*r - 8. Let l(m) = -698186144*m**3 - 761956*m**2 + 571467*m - 380978. Give 190489*f(z) - 4*l(z).\nAnswer: -14653*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2190 + -1295. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-5)*w)\/(w*w\/(w\/w**(3\/10))))\/(w*w\/w**(-1\/3)*w*(w**1*w*w)\/w) assuming w is positive.\nAnswer: w**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -398*i**3 + i**2 + 13*i + 22. What is the units digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:51 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201 is divided by 221?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 729 and 90?\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, w: 1}. What is prob of sequence fff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1837, -1840, -1843, -1846, -1849, -1852?\nAnswer: -1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 28*f - 55. Let h be 23\/((-1265)\/(-10)) + 328\/11. Let w be r(h). Solve 0*u = 2*u, 0 = -a - w*u + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -12. Suppose -y*n + n - 6 = 0. Let l(x) = 2*x**3 + x**2 - 2*x - 2. Determine l(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557496 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-7)\/((-910)\/45))*3. Solve 0 = l*f - 30*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3089, 6143, 9133, 12029, 14801, 17419?\n\"Answer: -5*l**3 - 2*l**2 + 3095*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 4, g: 2}. Give prob of sequence di.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -112101200122220 (base 3) in base 11?\nAnswer: -435601a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1566715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(-4 + 4 - 3*a)*(-2 + 5 - 1)*(-8 + 5 + 11).\nAnswer: 144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 2*o**4 + o**4 + (o**2 - o**2 - 2*o**3)*(2*o + 3 - 3) - 10*o**4 - 4*o**4 + 4*o**4 + (4 + 2*o - 4)*(-o + o**3 + o**3 + 4*o**3).\nAnswer: -o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 13116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -16. What is the third derivative of 3*u**2 - 7*u**q - 7*u**4 - 92*u**6 + 6*u**2 + 18 + 7*u**4 wrt u?\nAnswer: -11040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (-1*sqrt(242) - sqrt(242)).\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 - 8*g + 11. What is i(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2219976, -2219968, -2219958, -2219946, -2219932?\nAnswer: -2219916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 - 1663?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 2*i**3\/3 - 5*i**2\/2 - i. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -322.07 and -33.39.\nAnswer: -355.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - -388. Suppose -z = -4*n - c, 0 = 3*n + c - 2*c - 302. Suppose -3*p + n = 2*f, -4*p - 41 = -2*f + 53. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72743 and 10114.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.1, -11, -5.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 155*x + 754. Let k be z(5). Solve -k*q = 28*q - 64 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.07. Let c = -0.23000072 + g. What is c rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1282*4\nAnswer: -5128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -187, -192?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 - x**2 + x. Give f(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 - h**4\/2 + h**3\/2 + 2*h**2 + 193*h. Suppose -4*b + 0*b + 12 = 0. Suppose 0*u + 15 = b*u. Calculate o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 2461, 6097, 11249, 17953, 26245, 36161, 47737?\nAnswer: 61009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 8) to base 6.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 619652220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 21 = -2*o, -o - 8 = 3*u - 5*u. Let w(m) be the first derivative of -2\/3*m**3 - 3 + 0*m**2 - o*m. Find the first derivative of w(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6663 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3873 + 3047 - r - 1409 to o*r + d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1496 + 0.15588. Round a to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 12*v - 8. Let h = -2 - -13. Let c be i(h). Suppose -2*m + c = -33. Is 18 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -7317.\nAnswer: -5\/7317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2791748 to the nearest ten thousand.\nAnswer: 2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n - c + 5, -16 = 3*n - 2*c. Let a(i) = -i - 1. What is a(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 12.6. Let u = s - -13.4. Which is the third biggest value? (a) 0.3 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r + 2235 = -5*k, -k - 3*r - 449 = 0. What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 305\/6. Let l be (0\/(-1))\/(0 - -1). Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -9\/39071342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11072 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -7 - ((-3232)\/6 + ((-20)\/(-12) - 2)) and 4.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 + 0*j**2 + 0*j**2 + (73 - 41 + 66)*(-j**5 - 3*j**5 + 2*j**5).\nAnswer: -192*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/11, 66\/7, -3, 3\/10, -1, 2\/3 in ascending order.\nAnswer: -3, -1, 3\/10, 2\/3, 27\/11, 66\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k + 245. Let m(o) = -20*o + 982. Give -2*m(v) + 9*z(v).\nAnswer: -5*v + 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**2 + 0 + 1\/10*c**6 + 11\/16*c**4 + 14*c - 1\/4*c**3 - 39\/80*c**5. Solve f(m) = 0 for m.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -32, -85, -170, -293, -460?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/3*(-16)\/(-32).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*b = -2, 1171*l - 1168*l = -b + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 102*(-18)\/(-36)*3. Calculate the greatest common factor of 272 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32550*p**2 - 1812 + 3*p + 2*p**3 + 32550*p**2 as g*p + d*p**3 + q*p**2 + k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z + 2. Let i be k(-2). Suppose -q - 5*s + 88 = i*q, q - 26 = -s. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -14*j - 2788765 + 2788765. Let x be (-2)\/4*(-30 - -32). Calculate u(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -684 + 726. Calculate the greatest common factor of 392 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uui when three letters picked without replacement from {u: 3, i: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 + 3 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 - 149.7. Let n = -7.269 + z. Let o = n + -1.031. What is the closest to -1 in o, 6, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:53 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from ddduimddmybmydy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 12. Let c be (-12)\/10*(-40)\/b. Find the second derivative of -5*o**5 + 0*o**4 + 8*o**5 + 0*o**c - 2*o wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:31 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/30 + 3 + 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Suppose -j - m*j - 32 = 0. Let n(a) = -52*a + 3. Is n(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 96460?\nAnswer: 96460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 137. Suppose -5*h - x = 4*s, -3*h = -4*h + 2*s. Which is the third smallest value? (a) 0.3 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -206. Let v = -116 + x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (934 + 453 - 651)*(4*a**4 - 4*a**4 - 3*a**4).\nAnswer: -2208*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h - 6*h + 2*h)*(-127 + 62 + 126).\nAnswer: 1281*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485902 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42e52 (base 15) to base 13\nAnswer: 75935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (26 - -10 - 27) + -43 + -3 + 1\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 339053048 at least 339053048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 17*z - 46. Determine a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 - 1. Let m be j(-1). Suppose -7*k + m*k = -110. Let z = -114 + 136. What is the highest common factor of k and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 100 + 107 + 0*y**2 + 134 - y in the form o + u*y**2 + v*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - (-8170)\/(-30). Let l = -151 - p. Suppose -2*r - 3*r = -2*u - 148, -4*r = u - l. Calculate the greatest common factor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -364 + 587. Let w(t) = -18*t**2 + t + 4. Let g be w(3). Let x = v + g. Calculate the remainder when x is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 2*d + 2. Let p be q(4). Suppose 0 = -2*t + p. Suppose -t = -2*x + 3. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 16. Let w = 17 + -32. Let i be h(w). Solve z = 2*d - 5 - 2, -2*d + i = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11150301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 13) in base 10?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32170, -127198, -285576, -507304, -792382, -1140810, -1552588?\nAnswer: -2027716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43129543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**8\/20160 - q**7\/720 - q**6\/80 - 27*q**5\/20 + 83*q**2. Let s(r) be the third derivative of o(r). Determine s(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174908826 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 146269470 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22080786 and 364?\nAnswer: 44161572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (262 + -3 - -7) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 71*w + 13. Let m(h) = -7*h - 32 - h + 26 - 9*h - 18*h. Calculate -6*i(u) - 13*m(u).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 10*r**2 + 12*r - 118. Let q be m(10). Let u(p) = -13*p**2 + p - q + 27*p**2 - p - 13*p**2. Let i be -3 + 0 - (1 + -1). Determine u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by 2915\nAnswer: 65\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20*z**2 - 5*z - 4. Suppose -3*s + 9 = -9. Calculate the remainder when i(-1) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(144)\/sqrt(4)))\/(((sqrt(220)*-1 + sqrt(220))\/sqrt(10) + sqrt(22) + sqrt(22))\/sqrt(11))*-1.\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1964 = 255*l - 480 - 1891 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988270290?\nAnswer: 2, 3, 5, 7, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703 + 39*j**2 - 30*j**2 - 23*j**2.\nAnswer: -14*j**2 - 1703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*x + 183*x - 4813*x**2 + 101*x - 5393 + 4803*x**2 wrt x?\nAnswer: -20*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 e when four letters picked without replacement from {e: 12, j: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 273510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6172 or -277696\/45?\nAnswer: -6172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 3.03. Let h = -4287 - -8577\/2. What is the biggest value in h, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7 = 1, -2*b + 30 = -5*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 12 + 3)*((-3 + 4 - 2)*(-4 + 4 + t) + 2*t + 3 - 3 + 16*t + 17*t - 24*t) to o*t + m and give o.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Suppose 5*g + v = 5. What are the prime factors of (-36)\/(-20) + g\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 28 = 4*v, -v + 10*k - 12*k = 4. Suppose 0*o + o = -3, -189 = -v*s - o. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12940 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4 - 18 - 16*u + 4*u**3 + 50*u**2 - 3*u**2. Let y be j(-16). Which is the fourth smallest value? (a) -3 (b) y (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.84 + 1.7. Let q = s + 6.14. Let f = -3 + q. Put 5, -0.2, f in decreasing order.\nAnswer: 5, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 490, 3, -16 in descending order.\nAnswer: 490, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -47. Which is the closest to 1? (a) 1\/3 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (16 - 9) - 14) + -15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = -4*v - q + 2876, 2*q + 4 = 0. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 2*c = -182. Let b be (c - -2)*1\/1. What is the highest common factor of b and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) 1 (c) -155 (d) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -25\/5630643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4253, -8506, -12759?\nAnswer: -17012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 676570 and 3.\nAnswer: 2029710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l*l\/(l*l**(5\/2)*l*l*l))\/l)*l*l)\/l)**29\/((l\/l**(-3\/20)*l)\/(l*l\/(l*l**(14\/11))*l)) assuming l is positive.\nAnswer: l**(53917\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1591062 and 762.\nAnswer: 1591824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2166860 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21*i - i**2 - 37 - 26*i + 34*i. Let k be a(-5). Solve -k*g + 5 = -o + 13, -g - 4*o = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + (-97)\/(-5). Let k = 130 + v. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.04 and -21.191587.\nAnswer: -24.231587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + 8. Is 38 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 134?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18876216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -32.2. Let p = -4\/55 + -208\/165. What is the closest to g in p, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -492520185032*s**2 - 1984984*s - 2 = 0.\nAnswer: -1\/496246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 12. Let y be 0 + (-2 - 66\/g). Let -y + 8\/9*b**2 - 2\/9*b**5 - 2\/9*b + 4\/9*b**3 - 4\/9*b**4 = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:55 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let k(q) = 12*q + 1. Let z be 2\/6*-3*22. Let g(y) = y - 9. Suppose 4*c - 21 = 7. Let f be g(c). Determine f*k(x) + z*w(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - u**2 + 5*u + 3. Let w be o(-3). Suppose 0*i + 4*i - w = -5*a, -3*i + 27 = 3*a. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l + 3*l + (43*l - 11*l + 7*l)*(-151 + 13 + 17))*(2*l + 2*l - 2*l) to the form v + t*l + d*l**2 and give d.\nAnswer: -9434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a1c7772 - 1?\nAnswer: -3a1c7773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69.6247 + -0.3353. Let k = 70 + p. Round k to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.59, -5, 0, -3, 6, 2 in descending order.\nAnswer: 6, 2, 1.59, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4)\/g**(-8)*(g**(-2)\/g)\/(g\/(g\/(g**1*g))*g*g*g))**(-22) assuming g is positive.\nAnswer: g**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2484 and 38180?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x + 4*c - 10, -2*x - 5*c = -9. Let j = 7 + -4. Let b(q) = q**3 + 0*q**j + 2*q**2 + q + 2 - 3*q**3. Calculate b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38462612 and 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(343) + -2 + (-5 + 0 + sqrt(343) + sqrt(343))*5)**2.\nAnswer: -3136*sqrt(7) + 17831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -17, 11, 73, 181, 347, 583?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 7111.\nAnswer: -7111.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(-4)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, -39, -4, -16 in ascending order.\nAnswer: -39, -16, -9, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9)**21\/((y*y**1)\/(y**12*y)))**37 assuming y is positive.\nAnswer: y**7400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 24*r + 2*u - 10, -3*u + 16 = 2*r. What is the third smallest value in 11, r, -3\/4, 3\/5, 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28314969, 28314968, 28314967?\nAnswer: 28314966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, n: 5}. Give prob of sequence nnoo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7661 and 163?\nAnswer: 7661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 28 = -2*p + p, 5*p = -3*w + 168. Let m be (-9)\/p - (-9)\/(-12). What is the nearest to 2\/9 in -1\/58, m, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34400 (base 5) in base 13?\nAnswer: -1185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -10 in descending order.\nAnswer: 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = 0. Suppose -5*s + 9*s - 20 = m. Let c(x) = x**3 - x**2 - x + 2. Let b be c(2). Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -124*a**3 - 208*a**2 + 40*a - 12. What is the tens digit of h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 0*n + 2 - 1\/3*n**3 + 0*n**2. Let c(x) = x. Calculate c(i(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 125, 129, 135, 143?\n\"Answer: y**2 + y + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:20 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (2 - -1) - (-16 - -16). Solve 48 = -15*r + s*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**2*z + y**2 - 3*y*z + 63744*y - 3351274*z wrt y.\nAnswer: -2*y*z + 2*y - 3*z + 63744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10900921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8100 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1152 - -12)*(-21)\/(-126). Sort m, -10, -3, 1 in ascending order.\nAnswer: -10, -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296706 and 296706.\nAnswer: 296706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 25*o + 145. Give x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*4*(-5 + 4*(1*(sqrt(108) + 1) + -2*sqrt(108) + 4)).\nAnswer: -3456*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26209206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39789094 is divided by 10748.\nAnswer: 10746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4970796 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 5, -5*o - 3*q - 128 = -133 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 + -173. What is the third derivative of -8*f**4 + 4*f**c - 42*f**2 + 8*f**4 + 6*f**4 wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 29 - 64 + 3*n - 14*n**2)*(4 - 8 + 0).\nAnswer: 56*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:50 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 15*v**2 + 3*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.4409353 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68, -164, -418, -908, -1712, -2908, -4574, -6788?\n\"Answer: -13*l**3 - l**2 - 2*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - l - l)*(2*l - 6*l - l) + (l - l - 3*l)*(-3*l + 4*l - 3*l))*(-l**3 - l + l).\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*h**2 - 2*h - 791*h**2 + 390*h**2.\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1a4a32?\nAnswer: 1a4a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294 + -180. Let p = l - 98. Solve -5*q - 5*i + 10 = 0, 2*q - 5*i = -2*i - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonovovn. Give prob of picking 2 o and 1 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 0 + 7 + 3 + 13*g**2.\nAnswer: 15*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 - -5) + 4\/(-6). What is the second biggest value in q, -12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15846*m - 15846*m + 47926*m**2.\nAnswer: 47926*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3 - 153*o**2 - o**3 + 152*o**2 + 4*o - 2*o**3. Let r be h(-2). Solve 0 = -2*x + 4*x - 3*i - 15, x = -3*i - r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2)\/((-2)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + 1 + (-3*sqrt(78))\/sqrt(6) + 1 + -2))**2.\nAnswer: 1080*sqrt(13) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvuuuvvuv. What is prob of sequence vvvv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/812 and 23\/3010.\nAnswer: 174580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 11. Let n = h + -8. Let j(q) = -3*q - 3. Let o be j(-3). Solve c = -3*i + 14, -c = -2*i - o*c + n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 5*p - 16, -t + 5*p - 7 = 0. Let w = t + -6. What is the units digit of (w + -2 - -1)\/((-2)\/(-190))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 96170145595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1335 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60437443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29913 is divided by 730.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*h - 15*g**3*s - 43*g**2*h*s - g**2 - 2*s wrt h.\nAnswer: -2*g**3 - 43*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + 611. Let g = -720 + o. Sort -4, 77, g.\nAnswer: -4, g, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 103930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 435880, 871762, 1307644, 1743526?\n\"Answer: 435882*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(16\/4)*196*-7*14\/343\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 31*k + 0*k + 3*k + 20*k + 18*k + 29*k.\nAnswer: 105*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46948*s + 51*s**5 + 46948*s + s**5 - s**4 + s**4 + (-4 + 1 + 4)*(-s**5 - s**5 + 0*s**5) + (-10*s**4 + 63*s**4 + 0*s**4)*(0*s + s + 0*s).\nAnswer: 103*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*15.5.\nAnswer: 77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12.69 (b) 2\/3 (c) 4 (d) -0.1 (e) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/10)\/(1\/2). Suppose 0 = 12*v - 14*v. Suppose 2*l + 8 = l + 2*g, -4*l + 3*g - 12 = v. Solve 7 = -o*h + x, x + 5 = -h - l*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 r when three letters picked without replacement from axmudrxraudard?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 2*d - 14 - 6, q - 8*d + 3*d = -18 + 5 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/1 - (-28)\/4. Solve -c*u - 2 = -17*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 15806.\nAnswer: 395150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768017737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 2. Let z be x(-2). Suppose 0 = z*v + v. Solve -5*j + 34 = -3*o, 5*j = 5*o - v*j + 40 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s - 3. Let a(n) = -n**2 + n - 1. Suppose 2*v + 14 - 18 = 0. Determine v*a(p) - k(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -2*d**5\/25 - 2*d**4\/5 + 2*d**3\/3 - 16. Find j, given that h(j) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -25*v - 2. Calculate j(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 25 = -41*n + 45*n, 5*w = -8*n + 95 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2)\/(-9) + 4472\/936\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001020133 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1602 + 2213. Calculate the remainder when q is divided by 155.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2151 + -2129. Solve -34*f - 24 = -z*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/4 + 11*k**3\/3 - k**2\/2 + 9*k + 3. Is 4 a factor of c(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/2 (b) 2 (c) 4\/3 (d) -0.4 (e) -1\/10 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*1*(330\/(-245))\/(-11))\/((-1545)\/50470)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/15)\/((-6)\/45). Suppose a - r - 16 = 2*a, -2*a - 5*r = 20. Find the common denominator of (-18)\/10 + g\/a and -71\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*64\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -944 + 2087. Suppose m = -s + 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6029\/13 + -464. Let g = 22\/39 + u. Is g > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8661 + 8869.9766. Let d = 110 - -99. Let j = d - h. What is j rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 6*g - 1. Let v(f) = 3*f**2 + 7*f. Let l(j) = -4*d(j) + 3*v(j). Let h = 0 + 11. Let p(z) = -5*z**2 + 16*z - 21. What is h*l(c) + 2*p(c)?\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19516 - 97583\/5. Find the common denominator of w and 47\/894.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1)\/(-1))*(-21)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1848\/880)\/(3\/2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 + 27*r**2 + 11*r + 4. Let u(g) = 37*g**3 - 190*g**2 - 79*g - 30. Calculate 30*h(m) + 4*u(m).\nAnswer: -2*m**3 + 50*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-2*t + t + 0*t) - t - 3 + 3 + t + 3*t - 5*t)*(-8 + 6 - 4).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-15845)\/35)\/((-8)\/(-28)). Suppose 0 = -3*z + 1249 + b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*15 - (3 + 0). Let j = p - -34. Let n(v) = -7 + 1 - j*v + 18*v. What is n(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -988, -821, -654, -487?\n\"Answer: 167*m - 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhjhhmyjyuuffmff. What is prob of picking 1 j and 2 m?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1.5, -3.5, 94, -0.4, -0.5 in decreasing order.\nAnswer: 94, 5\/2, 1.5, -0.4, -0.5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 922*l**2 - 3.\nAnswer: 922*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276657.\nAnswer: 3, 92219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2267 - 2213. What is the remainder when 384 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 68*r**2 + 14*r - 18 - 3 - 57*r**2 - r**3. Let u be t(12). Suppose -u*w - 5*y - 17 = -119, -2*y - 84 = -2*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 50*a + 28 = 5*d, 12 = -3*d - 3*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.28 + 3.78. Let o = -31.5 - r. Let j = 35.3 + o. Round j to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 2, b: 2, l: 3, y: 1, j: 4}. What is prob of sequence ybd?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 2, x: 2, v: 2}. Give prob of picking 1 m, 1 o, 1 x, and 1 v.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24183107 to the nearest 100000.\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, -1.5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let y = 7 - u. Let f(c) = c**3 - 2*c**2 - 5*c - 2. Is f(y) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 1, g: 5}. Give prob of picking 1 b and 1 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.9 - 2.9. Sort -0.2, 0.3, a in descending order.\nAnswer: a, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697818804.\nAnswer: 2, 11, 29, 127, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 3*i**4 + 4*i**3 + 2 + 3*i - 3 - 5*i**3 in the form y*i**4 + f*i + c*i**2 + s*i**3 + x and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by 513994.\nAnswer: 239\/513994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30681 divided by 1461.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*w - 31 = 119, -8 = -4*w. Let x = 42 + -30. Suppose x = -3*q, -5*y = -3*q + 8*q - 100. What is the highest common divisor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15077, -30153, -45231, -60311, -75393, -90477, -105563?\n\"Answer: -z**2 - 15073*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2132 - -853. What is x rounded to the nearest 10?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 8451, -5 in increasing order.\nAnswer: -5, -1, 5, 8451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*k + 2, -4*z - 16 + 12 = 0. What is the fourth biggest value in -0.1, k, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1704384*x + 3408777. Calculate f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 7*p - 4*p - 27, p = z + 1. Solve j - z*w - 18 = 4*j, 0 = -j + 2*w + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-39) + (-342)\/(-514). Let i = -1414781\/3084 + q. Let n = i - -12981\/28. Is 5 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3796 divided by 4.\nAnswer: -949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k = -36*k - 8. Solve 0 = -3*w - 2 + 5, 0 = k*a + w - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583555430 to the power of 1\/3, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -30, -35, -42, -57, -86?\n\"Answer: -t**3 + 8*t**2 - 26*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4) + 4 + (-1 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868*n + 1550 + 34941 = 241*n - 2180*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104326, 104331, 104336?\nAnswer: 104341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (9 + -80) - (7 + 88).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2. Let w(i) = -9*i - 17. Let c(q) = -3*q - 6. Let h(b) = 17*c(b) - 6*w(b). Determine t(h(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/3 - 5252*d**2\/3 - 3135010*d\/3 + 419812064\/3 = 0.\nAnswer: -1369, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/21)*(i**(2\/13)\/i)\/i*(i**(-5\/3)*i)\/i**(-2))**(1\/78))**(1\/10) assuming i is positive.\nAnswer: i**(-19\/35490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -907\/5. What is the closest to 0.1 in 0.04, q, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4156 + 4116. Let b(o) = 12*o**3 - 8*o**2 - 8*o. Let y(p) = -p**3 + p**2 + p. Give j*y(u) - 5*b(u).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 divided by -271?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428155, 428143, 428161, 428239, 428407?\nAnswer: 428695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let j(r) = r + 2. Let t(p) = -11*p - 5. Let b(v) = 2*j(v) + t(v). Give b(f(i)).\nAnswer: 9*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5))**(-42)*((r**(-2\/7)*r*r*r*r)\/r*r)**(-1\/11) assuming r is positive.\nAnswer: r**(-3364\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -15158105740 to the nearest 100000.\nAnswer: -15158100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20*x**2 - x. Suppose 23*w + 84 = 222. Calculate the remainder when f(1) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k + k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -101302220?\nAnswer: 101302221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15100 is divided by 1676.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 4. Let c(a) = 5*a**2 + 6. Let m(o) = 5*c(o) - 7*w(o). Find the first derivative of m(f) wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/50976 and -119\/1174128.\nAnswer: 1246923936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 262981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25713138 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.1285\nAnswer: -0.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - 8 - (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 - 4 - 6*n**2 + 7*n**2 - n**2 - n. Let y be l(-4). Solve y*b = 4*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -16*d**2 - 5380*d + 10680. Let n(m) = -3*m**2 - 1345*m + 2670. Let l(b) = -2*j(b) + 9*n(b). Factor l(w).\nAnswer: 5*(w - 267)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.022 - 44.022. Let l = -5404 - -5404.2. What is the smallest value in x, l, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 - 75. Let j = -6 + k. Let w = -37 + j. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -1, -4, 3, -2, 16 in decreasing order.\nAnswer: 16, 11, 3, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/((p\/((p\/p**(2\/13))\/p))\/p))*p\/(p**(3\/14)\/p) assuming p is positive.\nAnswer: p**(353\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6 - 36. List the prime factors of 8\/r - 2651\/(-55).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j - 105. Let b be v(-6). Let l be 2\/(-2) + b\/(-1). Solve -3*f - 2*f + 5 = 0, -5*m = -l*f - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896 - 896 + 3580 - 894 + 13*g - 894.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-5 + 3)) + 6\/(-2). Let j = 36 + -21. Let h = 11 + -6. Solve 5*d + j = h*t - b*d, t - 2*d - 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1044.04 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17588, -35164, -52746, -70334?\n\"Answer: -3*d**2 - 17567*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13)*v**(-5\/6)*(v**(2\/17))**(4\/11))**6 assuming v is positive.\nAnswer: v**(-15473\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/6*(-1)\/36. Let b = s + 1\/24. What is the second smallest value in -0.3, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 4*l - 3. Let a be g(4). Let o = a + 1. What is the units digit of 1\/(2*o\/(-140))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.517 and 2.066?\nAnswer: -1.068122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/18 - -1 - 60\/(-120)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -22*o - 3\/10*o**5 - 5 + 1\/5*o**6 + 1\/14*o**7 + 1\/2*o**3 - o**4 + 3*o**2. Find n, given that r(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107220670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(170)*-2 + sqrt(170)) + sqrt(170)))\/(sqrt(40)*-4*3).\nAnswer: -5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 13 (b) -3 (c) -275 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 3*f**4 + (2*f + 4*f - 5*f)*(-621*f**3 + 475*f**3 + 899*f**3)*(0 + 1 + 0) in the form o + p*f + d*f**4 + x*f**2 + a*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0 - v + 0) + 2*v + 1 - 1 + 5*v + 3*v - 4*v + (-4 + 1 + 1)*(3*v - 2*v - 3*v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -415381, -416293, -417205, -418117, -419029?\n\"Answer: -912*a - 414469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 8*x**2 + 4*x + 37. Calculate y(6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 2*z - 48. Let p(l) = 2*l - 5. Give p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h**3 + 6 - 5 - 20 + 19 + 25*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - 0.6. Let c = o + 4. Suppose -4 = 4*n - 0. What is the closest to 1 in n, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:10 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14980*m**6 - 3*m**4 + 2*m**3 + 1872*m**2 + 3*m - 15 wrt m.\nAnswer: -1797600*m**3 - 72*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 714529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4140447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 303*u**2 + 2*u - 1. Let g be b(1). Suppose 3*y - m = 1200, 3*y - 3*m = 896 + g. Suppose 4*o - 1880 = j, 0 = 2*o + 5*j - 562 - y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 27*y**3\/2 + 3*y**2 + 1815*y. Let i(z) = 54*z + 4. Calculate -5*a(s) + 8*i(s).\nAnswer: 27*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 2*q - 2*q + 2*q + q**3 - 2*q + (-q + 2 - 2)*(-1 - 2*q**2 + 1) - 11*q**3 + 0 + 1 - 2 to v*q**3 + c*q**2 + g + y*q and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-40) + (-258239)\/18380?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329\/820 + -72\/205. Let x(a) be the third derivative of f*a**5 + 0*a + 0*a**3 - 10*a**2 + 0*a**4 + 0. Let m(n) = -15*n. Calculate m(x(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, -3, 2\/13, 3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -7, -25, -61, -121, -211, -337, -505?\n\"Answer: -b**3 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 12*y**3 - y - 35*y**2 + 35*y**2.\nAnswer: 12*y**3 - y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529714037?\nAnswer: 529714037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (14 - 36) - (-1 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*v + 56*v - 38528 = 0. What is the remainder when 1861 is divided by v?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 - -169. Suppose -z = c*o - 93, -z + o + 91 = 2*o. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15207839.68 - -15208539.6799521. Let d = l + -700. What is d rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1377) - (sqrt(1377) - -4*(0 + sqrt(1377))) - sqrt(1377) - (sqrt(1377) + sqrt(1377) + (sqrt(1377) + -4)*2)))**2.\nAnswer: -1296*sqrt(17) + 111601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -250\/171 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 5) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f5ada (base 16) to base 14.\nAnswer: -3b6c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16430230151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-4))\/4*1. Let v be (4\/(2 + 2))\/t. Let l(w) = -w**3 - w - 1. Let u(j) = 3*j**3 + 1. Calculate v*u(z) - l(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-20 - 13) + 34).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/11)*q*q*q\/((q**(1\/3)*q)\/q))**(-2\/15))**47 assuming q is positive.\nAnswer: q**(-11656\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t + 4. Let q be (-1 + 2)*0*5\/(-10). Let b be z(q). Is -2 + (7 - b)*81 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/27 + 14614\/(-198). Let h = m - -215\/3. Let l = 539 + -3786\/7. Find the common denominator of l and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040821291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12460 divided by 14?\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 97*a + 477. Calculate i(43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 662 + 1195. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.7, -0.4585, -2\/7 in decreasing order.\nAnswer: 5.7, -2\/7, -0.4585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412513564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2226244953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/56 - (-2)\/(-8). Which is the closest to u? (a) 1\/4 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 19916?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 10*i**2 + 7*i + 16. Let f(n) = n**2 + 4*n - 183. Let a be f(12). What is c(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*q - 93 = 131*q. Let z(a) = -2*a**2 + 4*a - 11. Let n(b) = b**2 - 2*b + 5. Let u(r) = -5*n(r) - 2*z(r). Give u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 40, -83 in increasing order.\nAnswer: -83, -3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -14. Let r = 82 - h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**3 + 1 - 1)*(7 - 2 - 4)*(-80 + 157 - 162 - 84)*(-1 + 0 - 1) as c*k + y*k**2 + v*k**3 + n and give v.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + 3 + -6) - (650 + -645)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -44 (b) -0.058 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326*x = -1328*x + 5*s + 3394, 0 = -4*x + 4*s + 6812. What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 34. Let z be q(0). Let r be (z\/6 + -6)*6\/(-1). Let b be 91*(r - 3 - -2). Calculate the greatest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:25 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568334 is divided by 104541?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:41 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (174 - 36 + 114)*((-10*t + 0*t - t)*(-2 - 2 + 5) - 3*t + t + 3*t) in the form g*t + v and give g.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, -2\/3, 13 in descending order.\nAnswer: 13, -2\/3, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -902*k. Let n(c) = c**2. Give n(g(m)).\nAnswer: 813604*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 0.014 in descending order.\nAnswer: 0.014, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792)*3 + sqrt(1792))*1 + 3.\nAnswer: 3 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684235?\nAnswer: 5, 281, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:30 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - c + 9 = 0, 3*u - 27 = 5*c - 0. Let p = u - 0. Suppose 2*g + p = 2. Let j(f) = -6*f**3 + 2*f**2 + 2*f + 1. Calculate j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 2 - sqrt(5))**2 + 1 - (sqrt(5) + (sqrt(5) - sqrt(20)\/sqrt(4)*6)**2 + sqrt(5) + 5*sqrt(20)\/sqrt(4)).\nAnswer: -40 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11409 to 3 dps.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2483\/(-12415))\/((-1)\/95).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 15) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 + 0)*(1 + 2 - 8)*(-3 + 0 - 4)*(-3 + 1 + 0)*(-6*a**3 - a**3 - a**3) as o*a**2 + f*a + c + l*a**3 and give l.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6202459 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-4))*m*m)\/(m\/((m**(-1\/3)*m)\/m)))**(-2\/13) assuming m is positive.\nAnswer: m**(-34\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 13*x**2 - 13*x - 12. Let n be i(-12). Suppose r - 4*s - 380 = n, 4*r - 4*s - 1464 = -2*s. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 50 = 4*u - 245, 5*u - 3*d = 356. Let w = -81 + 124. Let l = u - w. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 15*a**2 + 6*a + 21. Let q be o(8). Find the second derivative of 2*x**5 + 9*x**q + 8*x**3 - 29*x - 12*x**5 + 3*x**5 wrt x.\nAnswer: 40*x**3 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320251.\nAnswer: 3, 773417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -855795, 4, -2 in decreasing order.\nAnswer: 4, -2, -855795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcqr when four letters picked without replacement from crcrrrrcqq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -5, 10, 31?\n\"Answer: 3*c**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Suppose -110 = 8*z - 13*z. Let b(w) = -12*w - 11. Let y(v) = v + 1. Let k(c) = z*y(c) + 2*b(c). What is d(k(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11357, 48738, 111041, 198266, 310413, 447482?\nAnswer: 609473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235199177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m - 5. Let t be s(-6). Let c be 36\/(-10) + (-10)\/t. Let k be (-14)\/21*(-5)\/20. What is the third biggest value in k, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 2, i: 1}. Give prob of sequence idc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -469586?\nAnswer: -48\/234793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5360 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-3))\/(6\/18). Suppose 4*o - 3*o = -2, -2*d + 2*o + 12 = 0. Solve -2*v = c + d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167.3 - -167. What is the biggest value in z, 0.4, 0.1385?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 138. Let q be w(-12). What is the common denominator of -3\/47 and (q\/198)\/(3\/(-8))?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 374*g + 42. Let s(n) = 249*n + 30. Let l = 736 - 729. Let t(c) = l*s(c) - 5*h(c). Let p(q) = -q. What is t(p(x))?\nAnswer: 127*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*2 - sqrt(108) - 3*sqrt(48).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -a77 (base 13) to base 6\nAnswer: -12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0 - 2 + 5 - 5 - 2 - 2 + 2 + (0 + 0 - 2)*(4 - 2 - 3) + 2 + 0 - 1 - 4 + 1 + 1 + 3 - 2 - 3)*(-3*n + n + 4*n) in the form f + d*n and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 380287077, 380287082, 380287087, 380287092, 380287097, 380287102?\n\"Answer: 5*d + 380287072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25228, -25278, -25354, -25456?\nAnswer: -25584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let v(n) be the second derivative of n**5\/20 + n**4\/2 - 3*n**2 + 23*n. Let y be v(-6). Give x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Suppose 3*l - 20 = -l. Suppose -10 = l*x + 5*c, 3*c + 2 = -x - 4*x. Let w(u) = -4*u**2 + 7*u**x - 1 + 1. Determine q(w(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + 2000000022011?\nAnswer: 2000000100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-36) - (-48)\/27. Let n be -1 - ((-8 - h) + -3). Is 447\/n*(-88)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/2)\/(2\/4). Let n be 16\/70 + (-4)\/r. Let i be (2\/22)\/(1\/2). What is the smallest value in i, 1\/3, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = o + 28, 0 = d + o + 1 - 9. Let w(r) = -5*r**3 - 13*r**2 + 3*r - 14. Let b(c) = c**3 + c**2 + c + 1. Let k(q) = -6*b(q) - w(q). Determine k(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645759713 to the nearest integer?\nAnswer: 25412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhhhhfhfhffhh. What is prob of picking 2 f and 2 h?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82260 and 3645.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404605 is divided by 244.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let r = 1 - g. Suppose -3*q - 2*q + 35 = r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403245 (base 15) to base 6.\nAnswer: 145155432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2978 + 2996. Let k(l) be the second derivative of -5\/2*l**2 + 0 + y*l - 1\/2*l**3. Find the first derivative of k(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032259 + -17352?\nAnswer: -17352.0032259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 134241?\nAnswer: 134300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 - 13*x**2 + 12*x**2 + 0*x**3 - 3*x - 3*x**3 to the form y + o*x**2 + l*x**3 + q*x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 5, 3, 2, 0, -1224 in ascending order.\nAnswer: -1224, -91, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, x: 9, f: 3}. Give prob of picking 2 x and 1 i.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, -2.3, 4\/3, -1.28 in ascending order.\nAnswer: -3, -2.3, -2, -1.28, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 5*o - 11. Let c be m(-2). Is 132755\/14*c\/(110\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 8*f - 37. Suppose -13*d + f*d = -35. Solve -4*s + 11 = d*g - 3, 4*s = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -112202?\nAnswer: 112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 624\/26*((-2)\/12)\/((-3)\/(-9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 5*d + 5, 3*y = 5*d - 5. Suppose 0 = f + 3 - y, 3 = -2*i - f. Is 0 + 30\/((-12)\/(-16) - i) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7332090350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 175. Let f be i(0). Let w = -138 + 245. Let z = f - w. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 228\/(-40) + 2\/4. What is the nearest to 1 in 4, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7926 + -3138. What are the prime factors of h?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 63. Let d(r) = 3*r - 3. Let a(x) = x**3 + x**2 - 2. Let g be a(2). Let t(y) = 1 + 2*y + 7 - g*y. Calculate j*t(v) - 14*d(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -163, -8, 3, -1\/4.\nAnswer: -163, -8, -0.3, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 3*f**2 - f + 2. Let h be i(-2). Suppose 2*b + b = 18. Suppose 0 = 2*p - 5*p + b. Solve h = -2*g - p*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5493*x + 3*x**2 - 317 - 6*x**2 - 5492*x + 35 in the form p*x**2 + j + h*x and give j.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -239. Solve c*u = 3*o - 29, -3*o = 4*u - 7*o + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j\/(j\/j**(-1\/18))*j**15\/j*j*j**(2\/25) assuming j is positive.\nAnswer: j**(8561\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52831111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -810691750 divided by 2?\nAnswer: -405345875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 5. Let o be (-10*1\/2)\/y. Let p(m) = 2*m - 1. What is the units digit of p(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 16*p**2 + 11*p - 12. Let b(f) = 3*f**3 - 46*f**2 - 31*f + 32. Let a(m) = 4*b(m) + 11*h(m). What is a(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -37785*x**2. Let m(j) = 2*j**2. Calculate p(m(y)).\nAnswer: -151140*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + -383*(7 - (34 + -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -64\/570421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 85 = 5*u, 6*u - 7*u = -2*t + 19. Let n be (4 - -288 - 4)*t\/24. Suppose 0 = 2*v + v - 48. Calculate the greatest common divisor of v and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2ca + 407?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -1998.\nAnswer: -1998.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + 2*b**2 + 2*b + 1. Let f be d(-1). Let t be f*((-30)\/9)\/(-5). Solve 5*c + 1 + t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4554614, 4554609, 4554606, 4554605, 4554606?\nAnswer: 4554609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 12 = -3*s. Suppose w = s*w. Suppose w = 3*y + y - 16. Solve j - 5 = -y*a + 2*a, 0 = 5*j + 2*a + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k**4 + 0*k**4 + 6*k**4)*(-1 + 0 + 3) - 21*k**4 - 214*k**2 - 4*k**4 + 213*k**2 to z + i*k**2 + m*k**4 + h*k**3 + p*k and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 12 + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 415.976648 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.30084 millimeters to centimeters.\nAnswer: 6.430084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3494?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - p - 2*p)*(-1480*p - 1959*p + 2654*p) in the form d + l*p + t*p**2 and give t.\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:07 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 - 97. Calculate the remainder when 11 + 38 - (-3 + 2) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 less than 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**4 - 191\/6*d**3 + 1\/12*d**5 + 1\/21*d**7 + 0*d + 0*d**6 - 1 - d**2. What is the derivative of b(u) wrt u?\nAnswer: 40*u**3 + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -0.5. Let p be ((-5)\/(20\/16))\/(2 + -1). Let s = -2 + 0. Sort p, s, f.\nAnswer: p, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k**4 - 217570*k**3 + 2*k**2 + 53145325 with respect to k.\nAnswer: 32*k**3 - 652710*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.55 + 0.4. Let o = 0.15 - i. Let m = -17\/26 + 2\/13. What is the biggest value in m, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 313483 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b89c - 5?\nAnswer: -3b8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -s - 0*s, -3*o + 4 = s. Let u = s + 33. Solve t = 6*t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/2 of a year?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -68487005*a**2 + 7253960*a - 192080 = 0. What is a?\nAnswer: 196\/3701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43183951 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14062, -28089, -42112, -56131?\nAnswer: -70146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**8*p*p\/(p*p**(-8\/5))*p)\/(p**(7\/2)\/p**(-5\/6)) assuming p is positive.\nAnswer: p**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -0.06 (b) 3 (c) -123048 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120658\/2150 + -73 - -17.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 - 6*i + 2. Let h be o(12). Calculate the highest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -60. Is u bigger than -1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 459634 and 10.\nAnswer: 2298170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -18. Suppose 2*d + 8 = -2*l, d = -0*d - 3*l - 4. Let w = d + s. Solve w*c = 5*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 61*i - 2057. Is 14 a factor of v(76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11 - 7 + 4*n**3 + 8*n**2 + 7*n - 3*n**3. Let o be k(-7). Suppose 0 = r + b - 27 - 0, o*r - 111 = -5*b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 5*g**2 - 4*g**2 + (-3 + 2*g + 3)*(0*g - 2*g + 3*g))*(g + 0*g + 2*g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -16, g - 3 = 4*x - 17. Let q = 2.3 - 2.8. Which is the closest to g? (a) q (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2 - 3)*(-21)\/42. Suppose -2*d + v = -6. Calculate the remainder when 8\/d*65\/10 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3200) + sqrt(3200) + -1)**2 - sqrt(3200)) + (-1 + sqrt(3200) + 1)**2.\nAnswer: -40*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r*r*r**(7\/2)*r)*r*r*r))\/r**(-5))\/((r*(r*r**2\/r)\/r)\/r*(r*r\/r**(-1\/4)*r)\/r) assuming r is positive.\nAnswer: r**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Let x = 26 - 21. What is the highest common divisor of x and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 60*n**2 - 80*n + 4. What are the prime factors of o(-17)?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1439\/(-27341))\/((-3)\/2)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42, 55, 68, 81?\n\"Answer: 13*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285.7629901 less than -2725?\nAnswer: -1439.2370099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6509 = -28*g + 7855. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 258a + 1?\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5.7, 2\/27.\nAnswer: -5.7, -0.4, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1458? (a) 2 (b) -1 (c) 31 (d) 2\/7 (e) -3 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7832395 divided by 1566479?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(2464\/(-7590)) - (-162)\/(-567)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(272) + (sqrt(272)*1 - sqrt(272)) + -2 + 5 + 3 + -4)**2.\nAnswer: 56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/120 + h**5\/10 - h**4\/24 + 2*h**3\/3 + 27*h**2. Determine o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250414323 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/((-328)\/(-4100))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 48, 12, -52, -150, -288, -472, -708?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -2039.\nAnswer: 34\/2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.579044t in kilograms?\nAnswer: 8579.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -25*k + 5*k + 20*k + 15*k**2. Let s(d) = -9*d**2. Give s(t(j)).\nAnswer: -2025*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = 8*r. Let y be (-10)\/r*16\/(-20). Solve -u = y*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*f - 5*f**3 - 3*f**3 - 24*f + 102*f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:10 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 36*v - 258 = -5*s, -s + 4 = 0. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1722*x**5 - 22*x**3 + 354877*x wrt x.\nAnswer: 34440*x**3 - 132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (-23)\/(184\/(-39)). Sort y, -2, -1, -3 in increasing order.\nAnswer: -3, -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 3, j: 2, t: 3, a: 10}. Give prob of picking 1 t and 3 a.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2424 + -2120. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.529910992535 - 1.9.\nAnswer: -7.429910992535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4097 by -17.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*r = 19, -281*r + 8 + 4 = -4*k - 285*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 + 26 + 28 - 9 + 286*k.\nAnswer: 286*k + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 17. Let o(k) = 31*k + 58. Let i be o(-3). Let l be 7\/(-5) + (-2464)\/i. Calculate the greatest common factor of l and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + (0 - 18 - -7) - -32.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-14))\/(130\/455)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8977.00003801 + 8977. Round b to 6 dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + (-2*sqrt(98))**2 + -5.\nAnswer: 7*sqrt(2) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v - 4 = 2*q, 4*v - 4*q - 24 = 0. What is the greatest common divisor of v and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 413, 1660, 3737, 6644, 10381, 14948?\n\"Answer: 415*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70238 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 226 = 10. Let o = 131 + h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/2 + 197*d**2 - 16355*d\/2 + 7981 = 0.\nAnswer: 1, 46, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 5. Suppose 5 = 2*q + 5*i, -2*q + 6*q = -5*i + 15. Let h be z(q). What is the units digit of ((-30)\/h)\/(6\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 448*a**3 + 32040*a**2 + 712800*a.\nAnswer: 2*a*(a + 44)*(a + 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001634719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(8) + sqrt(2)) + sqrt(128)*2.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3) + (-39)\/(-3). Suppose 5 = k - m. List the prime factors of (0 - 3\/(-1)) + k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (0 - 4) + 5. Let x(q) be the second derivative of q**4\/6 - 7*q**3\/6 - 3*q**2\/2 + q. Let k be x(z). Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 73381*b + 440957. Give v(-6).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m + 20. Let h be w(5). Let j(b) = -b**2 - 22*b + 8. Let g be j(h). Suppose 3*s + s + 22 = k, 2*k - 4*s - g = 0. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9353 litres to millilitres.\nAnswer: 1935.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75782 + 4?\nAnswer: -75778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (4 + -908 + -3). Suppose 0 = -0*h - h + w. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 9*n**2 + 14*n - 81. Calculate s(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/15178539 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3963*a = 8023*a - 3998*a - 124. Determine f, given that f - 1\/2*f**4 + 0*f**3 + 3\/2*f**a + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62997767 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189219*r**2 - 21950.\nAnswer: -378438*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57484 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8*s + 10*s - 642 = 0, -3*f + 2*s = -1894. List the prime factors of f.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72011 * 381\nAnswer: 27436191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Let g = -9 + z. Let o(i) = 2*i + 2. Let w(p) = p**2 - 5*p - 5. Let v(j) = g*o(j) - 2*w(j). Let k(q) = 3*q. What is v(k(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 10) - (34 - 37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, z: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 4960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 367407.\nAnswer: 367404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.4 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.066.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 0. Let s = w - 29. Solve 4*v + 13 = q - 2, -s = -3*q - 2*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-3)*1*(-2)\/(-2). Solve -m - 8 = -c*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/6 - 3*q**2 - 8*q. Let k(w) = -1. Let m be 2\/((-1)\/(-2) - 1). Give m*k(f) + t(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000075952586 to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 43*r**2 - 5*r + 3. Let i(h) = -43*h**2 + 6*h - 4. Determine -5*d(a) - 4*i(a).\nAnswer: -43*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 571 + -571.0055. Let l = g + -7.9945. What is the second biggest value in l, -4, -4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2652 + -1063. What are the prime factors of l?\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6916393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -25*s**2. Let p(h) = 4*h**2 + 5*h - 5. Let z(v) = -4*v**2 - 4*v + 4. Let g(f) = 4*p(f) + 5*z(f). What is g(y(x))?\nAnswer: -2500*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 14) + 47 + (-84 - -51)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from hlhhl?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 550, 818, 1082?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 639741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - -4) + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14171 in -0.5, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640\/3*((-324)\/(-15))\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**7\/420 + 11*d**4\/2 + 66*d**2 + 3*d. Let c(m) be the second derivative of f(m). Let n(u) = 16*u**2. Calculate n(c(z)).\nAnswer: 576*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 598002550 a multiple of 4976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -527, -761, -977, -1169, -1331, -1457, -1541?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 2:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - (-516)\/(-24)) + 1*-19.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2.4.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(-1\/5))\/o))\/(o*o*o**(-2\/9)*o))\/(o**(2\/7)*o*o)**(-9\/7) assuming o is positive.\nAnswer: o**(3001\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*p - 167 = 0, -18*p + 19*p = -4*s + 279. What is the highest common factor of 142 and s?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4)*3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 24. Let u = x - -14. Suppose b + u = 10. Solve -2*c = -3*k + 8, -b*k = -2*c + 5*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -95*o - 16. Let d(h) = -95*h - 17. Let v(w) = 5*d(w) - 6*l(w). Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291\/(-32)*(-41)\/(-2214)*72 - -12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27790 and 964710.\nAnswer: 6752970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + y)*(-1 - 6 + 3).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590.0256ms to microseconds.\nAnswer: 590025.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -225 + 60. Suppose -m + 3*q = -0*m - o, q - 165 = -3*m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555191 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -0*b + 2*b - 38, 21*o + 170 = 191 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23424 or 23435?\nAnswer: 23424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110489000 rounded to the nearest one hundred thousand?\nAnswer: 110500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + z**3 + 4 - z**2 - 2*z**2 + 4*z**2 to the form s + b*z + a*z**2 + i*z**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*y + (-1 + 1 + 2*y)*(-146 - 36 + 5)*(-2 + 2 - 1) - 4*y + 3*y + 2*y)*(5*y**4 - 8*y + 8*y).\nAnswer: 1785*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -138. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**6\/120 - 9*y**5\/20 + 129*y**4\/16 - 140*y**3\/3 + 96*y**2 - 109*y + 2. Let s(m) = 0. What is m?\nAnswer: 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 - 7*t - 7. Let p be x(-6). Let f = 6\/43709 + -35797719\/349672. Let l = 102 + f. Which is the nearest to -4? (a) l (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533454 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 32*(-1)\/(-2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1008, -1011, -1012, -1011, -1008, -1003?\n\"Answer: w**2 - 6*w - 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*m**2 - 3*m + 3*m - 181*m**2 + 74*m**2.\nAnswer: -476*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2738 - -2745. What is the nearest to k in -4\/5, -1\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(10\/9)\/(q\/q**(-3\/16))*q**42*q\/q**(-8) assuming q is positive.\nAnswer: q**(7333\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 167. Let a be 13 - (0 - -1) - -2. What is the highest common divisor of a and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2584, 5173, 7766, 10363?\n\"Answer: 2*r**2 + 2583*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101100100111011000001 - 1?\nAnswer: 11101100100111011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 - 35*q**2 - 40*q = 0. What is q?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/15 - (-48)\/9. Suppose n*h - 6 = -0. Is -4 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, p: 2}. Give prob of picking 1 h and 1 p.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8833900 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 - o + 1. Suppose 15 = 3*y, 24 = -7*p + 6*p + 5*y. Let u(k) = -5*k**3 + 3*k**2 - 3*k + 3. Determine p*u(q) - 3*m(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -14 (c) 1\/4 (d) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*r + 2*f + 2, -5*f - 8 = -3*r. Sort r, -17, 5 in ascending order.\nAnswer: -17, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 6) to base 7.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a second?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(2\/3)))\/(((b**(-4)\/b*b)\/b)\/b*b*b))**(1\/20)*b**(-3)*(b**(-3\/7)*b)\/b*((b\/b**0)\/b)**(11\/3) assuming b is positive.\nAnswer: b**(-137\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17.3*-6.34\nAnswer: 109.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9015182 less than 21.1?\nAnswer: -9015160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymhy when four letters picked without replacement from {m: 1, y: 2, e: 1, j: 2, h: 6}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {y: 4, z: 1, i: 1, c: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4730 and 43.72.\nAnswer: 206795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021059 to 6 dps.\nAnswer: -0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -8082353.\nAnswer: -8082353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30704*d + 3294?\nAnswer: 30704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 + s**4\/4 - s**3\/3 + s**2. Let m be g(5). Suppose -w + 2*p - 2 = 2*w, w + 10 = m*p. Solve 0*n = -w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25785)\/(-1146))\/((-5)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t - 1. Suppose 2*k - 5*q = -0*k + 2, q = 5*k - 28. What is the tens digit of x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8842.228 hours in nanoseconds?\nAnswer: 31832020800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:31 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -541*v - 1. Let j(r) = -17*r. Determine k(j(p)).\nAnswer: 9197*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -28 + -12 + 27 - -25\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 20. Let p(h) = -h**3 + 5*h**2 - 2*h + 13. Let b be p(q). Solve f + b = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.9 + -101. Let w = 43 + -39. Let g = -1 - 1. What is the third smallest value in f, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 100*k**2 + 75. Let i(g) = -g**2 - 1. What is -75*i(b) - n(b)?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 893061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*w - 90 = -94, -w - 10 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 45. Calculate the least common multiple of 6 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1661541*q**2 + 109 - 109.\nAnswer: -1661541*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 510380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*a + 26*a - 564*a - 565*a - 361*a to the form w + v*a and give v.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1482 and 5358.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-6))\/(1\/(-16)*8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 214112?\nAnswer: 214102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 2 (c) -7 (d) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + -2.07. Let k = 40 + -40.19. Let g = k + q. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16804 + 16985. Solve -125 + y = 14*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -2\/17, -5, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-200)\/6)\/(-10)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 312\/5 - 2\/5*b**2 = 0 for b.\nAnswer: 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + b6c322a?\nAnswer: b6c322d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1091 - 1083. Let z(y) = -y + 8. Let i(n) = 2*n - 12. Determine u*z(d) + 5*i(d).\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094 = -5*k - 389. Let i = -19 + 22. Suppose i*n = 4*b + 127, 0 = 3*n + 2*b + b - k. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + f + 1. Let j(m) = 5*m**2 - 4*m. Let g(x) = -j(x) - 3*z(x). Let p be (5 + 1)\/3 + -2. Calculate g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 l when four letters picked without replacement from {l: 7, h: 2, z: 6}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-12)*-2 - (-1829)\/3. Let v = 614 - o. Suppose -4*t - 4 = 0, -5*t - 3 = -l + 3*l. What is the third biggest value in l, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6629\/19 - -349. Let q = 0.82 - 1.82. Let f = 9\/14 - 55\/42. Which is the closest to q? (a) f (b) -8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**49)**(5\/4) assuming f is positive.\nAnswer: f**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12589 is divided by 12276?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 367\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d5 + 4?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18859 divided by -3?\nAnswer: 18859\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17787228.\nAnswer: 2, 3, 379, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 74*x - 3*x - 91*x - 14*x.\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11681*d + 11669*d = 72. Sort -15, d, 7 in decreasing order.\nAnswer: 7, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 660512*r**2*z**2 + 629*r**2*z + 9*r**2 - 9*z wrt z?\nAnswer: 1321024*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 + 1105*f**3 - 11390*f**2 + 36800*f - 36960 = 0. What is f?\nAnswer: -231, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42773711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 8 (c) -1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 956*p - 3. Let o(f) = -318*f + 1. Let s(k) = 17*o(k) + 6*x(k). Let z(b) = -6*b**2. Give s(z(d)).\nAnswer: -1980*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7.7. Let q = 0.2 + 0. What is the smallest value in 4, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(6 - 3 - 1)*(4 - 3 - 3)*(-6 + 4 + 3)*(-6*g - 46 + 46).\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, c: 5, e: 1, d: 1}. Give prob of picking 1 h and 1 d.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**2 + 462*g + 324. Calculate m(52).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3984.209 * 0.1\nAnswer: -398.4209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, g: 9, q: 2, z: 4}. Give prob of sequence zqxx.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/49827 and -91\/510?\nAnswer: 498270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4898, -38528, -129296, -305606, -595862, -1028468, -1631828, -2434346?\nAnswer: -3464426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-144) - (0 - -1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14629 is divided by 3222.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 minus -7855805?\nAnswer: 7855804.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*k**2 + 3*k - 1436 with respect to k.\nAnswer: 560*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647467 is divided by 248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -23, 1\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/6 + f**3\/6 + f**2 + 9*f + 2. Let z(g) be the first derivative of v(g). Let j be z(-1). Let l(d) = -5*d. Give l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -33. Let c be ((-40)\/20)\/(a - 2\/8). Suppose -2 - c = 4*t - 3*g, 12 = -4*t + 4*g. Sort 2, t, 4.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -23\nAnswer: 71\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/51, -3\/4, -4, -5, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 349*x - 348*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 243. Let r = -81 + i. Suppose 0*v - v - f - 310004 = 0, -4*v + 5*f - 1239980 = r. Round v to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(5\/2 - 2). Is (-96)\/(-56)*(-98)\/f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -465, -2, -1 in decreasing order.\nAnswer: -1, -2, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 50 - 99 - 2*c - 25533*c**2.\nAnswer: -25533*c**2 - 2*c - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*d + 18 - 3 = 0, -3*f = 4*d - 12. Suppose f = 4*q - 0*q + 16. Let l be (7\/q)\/((-3)\/12). What is the greatest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, c: 8}. Give prob of picking 1 i and 2 c.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(30)*-1)\/sqrt(6) + sqrt(15)\/sqrt(300))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 21*u**2 + 18*u - 41. Let h be n(-20). Let m = -1.3 + 0.3. What is the closest to m in -0.1, -1\/6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*u - 22, -2*u - 6 = u - 4*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-5))\/(50\/(-125))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103782 and 12883794?\nAnswer: 90186558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let w = p - -5. Suppose 0 = -5*s + 5*i + 25, -3 = 5*s - 3*i - 38. Solve -s = -6*t + w*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 4*u**2 + 221*u + 214. Give i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0.19255, 1.\nAnswer: -26, 0.19255, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0*b**3 + 0 + 0*b**2 - 3\/28*b**8 - 5\/12*b**4 + 0*b**6 + 0*b**7 + 0*b**5 + 4*b. Find the third derivative of g(x) wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 29*p - q = -13, -526 = 4*p - 30*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-6)\/27). Suppose p*m - 20 = -2*m. Let d = 13 - m. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 21, 0, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -h + 3*h. Let c(x) = 36*x - 6. Let m be c(h). Suppose 5*u - 175 = 4*d, 4*u - d - 2 - m = 0. Calculate the remainder when u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61915, 61913, 61911, 61909?\nAnswer: 61907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inni when four letters picked without replacement from ihnahwhwahanxhn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/13))\/(o*o**1\/o*o*o*o)*(o**(-2\/5))**(-15\/2) assuming o is positive.\nAnswer: o**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21711a - 244?\nAnswer: 216986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, w: 2}. What is prob of picking 2 f?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31517, -126316, -284383, -505718?\nAnswer: -790321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4120 - -4122. Solve 2*v + 6*k = 3*k + 7, 2*k = -z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567423 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249381.9 nanograms to kilograms.\nAnswer: 0.0000002493819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6717011 is divided by 7414?\nAnswer: 7341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 27. Let f be d(-11). Suppose -f*n = 14 - 134. What is the smallest common multiple of n and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u - 52*u - 17 = -w, 3*u + 5*w - 34 = 0. Suppose 6*z - 8 = 2*z. Differentiate -9 - 2 - z*o**3 - u wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82, -28, -1\/8?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001127 rounded to 5 decimal places?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(325))**2 - ((-3 + sqrt(13) + 5)**2 + sqrt(13) - sqrt(13)).\nAnswer: -4*sqrt(13) + 5183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148377424 to the nearest integer?\nAnswer: 12181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 657 = 180*r + 1262 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245\/22 + 469\/132. Let y = 30301\/7062 + -665\/107. Calculate the common denominator of x and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/59 and 1462\/1032 - (-2)\/(-24).\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + w. Let m(i) be the second derivative of -i**4\/6 + i**3\/6 + i. Suppose 4*s + 3 = 11. Calculate s*m(y) - 3*r(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1467.23504 and 0.5.\nAnswer: 733.61752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297206719.\nAnswer: 491, 605309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 6:57 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:41 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 168, 253, 338?\n\"Answer: 85*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2834466 - 233.7383534. Let r = -234 - b. Round r to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2))\/sqrt(3))**2 - (sqrt(45) + -1).\nAnswer: -3*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 14 + 74 = 0. List the prime factors of ((-85)\/6)\/(-5) + n\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.142814899 + -502702.\nAnswer: -502706.142814899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, l: 1, z: 1, o: 1, t: 4, a: 1}. Give prob of picking 1 o and 2 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427 and 8227436?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 234433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v)**(-10\/19)\/(((v\/v**(-7))\/v)\/v*v**(-14)))**(8\/5) assuming v is positive.\nAnswer: v**(1296\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, k: 4, v: 3, n: 5}. Give prob of sequence kvn.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-71383)\/(-7514)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2) + -2 + 0. Let i be (-460)\/207 - 2\/(-9). Put y, 0, i in decreasing order.\nAnswer: y, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -908\/9. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.420801 to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4845 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.18223 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -13 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 87*x - 57*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85611?\nAnswer: 3, 28537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103777154 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c + 7. Let l(y) = -7*y - 11. Determine -5*l(b) - 8*q(b).\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -3a176b?\nAnswer: 3a1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/5 + 1 + -6. Let u(r) = 2*r**3 + 4*r**2 + 4*r. Let q be u(y). Let a(f) = -96*f + 1. Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1561*n**4 - 3949*n**3 + 28034002*n wrt n?\nAnswer: -18732*n**2 - 23694*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*w + 0)*(31*w + 9 - 28*w - 47) to the form s*w**2 + p*w + u and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 63*g - 191. Let a be c(-28). Let x(f) = f + 1. Let u(s) = 3*s - 3. Determine a*u(l) + 15*x(l).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97764727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/483 and -43\/4186.\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:57 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - h + 0*h + 2*h. Let k(j) = -178*j + 143. Let r(d) = 89*d - 78. Let u(s) = -6*k(s) - 11*r(s). Give n(u(t)).\nAnswer: -178*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12)\/r**(-14)*r**(-12)*r**(-5) assuming r is positive.\nAnswer: r**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 3035, 5785, 8555, 11351, 14179, 17045?\nAnswer: 19955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 4. Suppose -11 = 4*l - 31. Let p(m) = m + 2. Determine l*p(x) + 2*y(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6004, -12017, -18066, -24157, -30296, -36489, -42742, -49061?\nAnswer: -55452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3 + (1 - 5 + 2)*(3 + 2 - 4) - 2 + 1 + 0)*(-33*k**3 + 28*k**3 - 1 + 2).\nAnswer: 5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3794 is divided by 90?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 96 + -5 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-32)*b*b\/(b**(3\/44)*b)*b*b*b**0*b**(-9) assuming b is positive.\nAnswer: b**(1185\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/3 + 5*k. Calculate n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401302 - 18?\nAnswer: -401320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2634871, -5269746, -7904621, -10539496?\nAnswer: -13174371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 488*c - 4. Let d(v) = 31*v. What is 3*d(a) - s(a)?\nAnswer: -395*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 1\/2*y**4 + 0*y + 0 + 125\/6*y**3 + 10*y**2. What is the hundreds digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26458 + 12242 = -645*v for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*j**2 + 23*d**2*j - 33*d**2 - 2*d*j + j**3 - 2289*j**2 wrt j.\nAnswer: 2*d**2 + 6*j - 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223232 (base 5) to base 11.\nAnswer: -2749a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a**2 - 169*a - 197. Calculate the remainder when 506 is divided by y(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 15*f**2 + 19*f - 9*f = 0. What is f?\nAnswer: 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/5 + 14877908*f\/5 - 27669018307058\/5 = 0. Calculate f.\nAnswer: 3719477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -26*x - 4. Let l be r(3). Let d = -43 - l. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 - 2.700076. What is r rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1234064 (base 7) to base 3\nAnswer: -22010022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1573716?\nAnswer: 1573720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 3236?\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/121*(134 + -68).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (2 - 15) - -2. Let s = 15 - 27. Is 254*2*s\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = n - 159, 3*d - 124 = 7*d - 4*n. Let l be ((d\/13)\/4)\/(6 + -8). Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 6*h - 22. Let i be y(9). Suppose -i = l + 1. What are the prime factors of l\/(-8) - 426\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3300 and 220500.\nAnswer: 2425500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n - 475. What is v(47)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1253 * -0.14.\nAnswer: 175.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 4 + 6 - 2*s + 4*s. Let a be y(-7). Solve -1 - 8 = -a*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 2*s**2 + 4*s + 3. Let d be w(-3). Suppose d = 5*i - 2*i - 54. Calculate the least common multiple of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**9\/252 - 421*t**7\/105 + 109*t**5\/12 + 758*t**2. What is the third derivative of f(w) wrt w?\nAnswer: -240*w**3 - 20208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1892 - 377. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/8 - 483*l**2\/8 + 6449*l\/2 - 21996.\nAnswer: (l - 423)*(l - 52)*(l - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 143. Let m be t(21). Solve 0 = 5*z - 2*d + 16, m*d - 14 = 4*z + 2*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*b**3*g + 9*b**3*h**3 - 2*b**2*g*h**3 - 7*b**2*h**3 - b*g*h**2 + 66*g*h**3 wrt b.\nAnswer: 336*g + 54*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*1)*-4*-4)\/(3*sqrt(196) - (sqrt(484) - (sqrt(484) - (sqrt(484)*-3 + sqrt(484))))).\nAnswer: 128*sqrt(7)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/5 + (5 - (-3 + 4)). Put 5, y, -4, -0.01 in descending order.\nAnswer: 5, y, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 669 - 639. Suppose 0 = -4*g + p + 80, 5*p - 10 = 5*g - 110. What is the highest common divisor of g and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 951*m**2*n**3 + 20*m**2*n + 10*m*n**5 + 685*n**2 wrt n?\nAnswer: 5706*m**2 + 600*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174040 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5677137km in nanometers?\nAnswer: 567713700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.83 and 0.1271.\nAnswer: -4.172693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 2 - 2)*(-2*r - 8*r - 13*r) + 14*r**4 - 15*r**4 + 231 - 444.\nAnswer: 22*r**4 - 213","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let o = s - -1. Let a = 0.7 - -4.3. What is the third biggest value in a, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(-14))\/(((-5)\/12)\/5). Suppose p*h - a - 84 = 2*h, 3*h + 5*a - 63 = 0. Suppose -504 = -h*w + 7*w. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/249989 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 2774989*o\/2 + 7700563950121\/4.\nAnswer: (o + 2774989)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*w = -31, -4*w + 9 + 11 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -0.04 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.92791 millilitres in litres?\nAnswer: 0.03092791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1334083 (base 9) to base 8.\nAnswer: -2624176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-12)\/72*10\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(0*v + 0*v + 3*v) + (6 - 5 + 10)*(-2*v + 2 - 2) to the form k + m*v and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.053\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 1\/315*l**7 + 0*l**3 - 1\/60*l**6 + 0 - 1\/18*l**4 + 1\/504*l**8 + 0*l - 13*l**2 - 1\/18*l**5. Find r such that g(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -607 - -275417?\nAnswer: 274610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 + 45 = -k, 2*a = 4*k - 44. Let y(l) = l + 6. Calculate y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 14405700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 29*k - 9. Let n(c) = 30*c - 8. Let m(r) = -7*n(r) + 6*x(r). Let t be m(-2). Suppose 2*j - 4*j + t = 0. Find the common denominator of j and -67\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 3*w - 1, -11 = -4*p + 6*p + 5*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1660, -4420, -7180, -9940, -12700, -15460?\nAnswer: -18220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2288833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.04 take away 2.297804?\nAnswer: -13.337804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 630*a - 2. Let w(r) = -2*r. Determine y(w(s)).\nAnswer: -1260*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 135\/(-672)*10 - -2. Let n = q + 353\/112. Let b = 125\/42 - n. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36131 + -24 - 0\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1799.6476422 to the nearest integer.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7364173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 28. Let r be z(14). Let s = 1.29 + -0.89. Which is the third biggest value? (a) s (b) r (c) 4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54799\/425 at most as big as -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19*u - 3. Suppose -f - 12 = -5*f. Let h be z(f). Suppose -3 = 4*t + 9, -3*t - h = -5*r. Which is greater: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2. Let o(w) = -5*w**2 - w + 2. Let i(m) = -o(m) - 6*v(m). Suppose 2*u - 24 = -5*a, 2*a + u - 6 = 2*u. Suppose -2*c - 6 = -a*c. Calculate i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**3\/6 + 14*r**2 - 55*r. Calculate the remainder when 29 is divided by l(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*q - 3 - 7 = 0, -3*c = 3*q - 15. Suppose 13 = 4*k - 7. Suppose 150 = -c*f + k*f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*(8\/((-3952)\/390))\/1?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 minus 278?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:07 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.16. What is the closest to -1\/2 in 2, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4 + 962097*f*n**2 - 118380*n**2 + 67 with respect to f.\nAnswer: -4*f**3 + 962097*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*m - 2 = 0, -3*k - 3*m + 5 = 2. Suppose 2*g - 3*g + 4 = k. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.1 (b) 1\/19 (c) 3 (d) 1 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 7. Let c be v(-4). Let z = -120 + 135. Solve -c*b = -3*t - z, b - 5 = 5*b + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2. Let f(b) be the second derivative of -2*b**5\/15 - 27*b**2\/2 - b + 33. Let a(m) be the first derivative of f(m). What is k(a(c))?\nAnswer: 256*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263076 is divided by 7516?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 34\/(-8))*0. Suppose 3*t = -2*p - m*p - 881, 1148 = -4*t + 4*p. Let q = -168 - t. What is the greatest common divisor of 41 and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 114 (b) -17.53 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 32 = 2*k, -5*x + 7 = 4*k - 47. Suppose -2*i + 25 = -7*i. Sort i, 2, k in descending order.\nAnswer: k, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18412 (base 15) to base 13\nAnswer: 29999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/6, -404\/5, -1\/53?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (63\/66 - 1)*-4. Let u(p) = p - 4. Let q be u(3). What is the nearest to 1\/4 in q, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 2. Let s be y(-6). Suppose 3*a + 2 = -s. Is 106*1*(-1)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1829817 divided by -3\nAnswer: -609939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -4767\/45373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 53*j + 84*j - 23*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.556 (b) -0.13 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 420439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a + 2. Let x be v(2). Let i be (x\/6)\/(4\/(-6)). Let l be ((7 - -1) + i)\/1. Solve 2*w = 5*w + l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -223, -480, -839?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 4*m + 12 = 12*l, -5*l = -5*m + 45. Are l and -12 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -0.02. Let u be 3\/14*(-24)\/(-9). Let l = -0.4 + 0.3. Which is the nearest to w? (a) l (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 21*q - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 + -167.7. Let m = -8 + w. Let j = -0.2 + m. Sort -0.3, 3, j in increasing order.\nAnswer: -0.3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + -86?\nAnswer: -af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by 1638?\nAnswer: 71\/819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-12*88\/32)\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96867805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17. Suppose -5*c + 110 + z = 0. What is the remainder when c is divided by ((-12)\/(-7))\/1*7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881979977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4318 and 9826?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61787026.\nAnswer: 2, 7, 83, 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -175, -221?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*f - 22*f - 109*f to the form j*f + o and give j.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -222410 - (10 - -3). Round k to the nearest one thousand.\nAnswer: 222000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 6*t**2 - 10*t - 4. Give a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2\/17, 0.2, -27\/22?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11900, 23744, 35586, 47426?\nAnswer: 59264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - 7*j**4 - 1 + 1193*j + j**3 - 1193*j to r*j**2 + l + c*j**3 + v*j + p*j**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -8 - 15\/20*4. Suppose -g*a - 140 = -n, -4*n + 3*a = -361 - 148. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 38. Let p = a - -16. Let n(b) = b**2 - 7*b + 6. Let g be n(p). Solve 5*k - 3*i - 34 = 0, 0 = i + 3 - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 3. Suppose 14*l - 3 = 13*l. Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*s - 26, 2*x + 22 = -4*s - 14 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 3. Let c(r) = -4*r**5 - 163*r**3 - 83*r**2 + 9. Let l(p) = c(p) - 3*o(p). Find the third derivative of l(v) wrt v.\nAnswer: -240*v**2 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 1 (b) 3 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 3*m**2 + 0*m**2)*(3*m - 4*m - m)*(-6*m - m + 8*m) + (0 - 3*m + 0)*(6*m**2 - 4*m**2 - 19*m**3 + 62*m**3) + 4*m**4 - 6*m**4 + 6*m**4.\nAnswer: -127*m**4 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 19*u**2 - 6*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14604 and 132.2.\nAnswer: 14736.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 479*q**3 - 230397*q**2\/4 + 114481*q\/2 - 57121\/4.\nAnswer: -(q - 239)**2*(2*q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 54934*x + 8. What is j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -2715, -6099, -10829, -16899, -24303, -33035, -43089?\nAnswer: -54459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 4 (c) 577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248549306.\nAnswer: 2, 3, 208091551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22794 is divided by 7576?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**7\/84 + 29*o**4\/24 - 5*o**3 + 26. Let d(y) be the third derivative of l(y). Differentiate d(g) wrt g.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17266, 35211, 53156, 71101?\nAnswer: 89046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 405 = 2*s + 394, -2*p - 143 = -47*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhyhhhyhh?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2056*o + 3977*o - 2098*o.\nAnswer: -177*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 1, p: 2, a: 1}. Give prob of sequence apmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*n + 245, -2*n - n - 4*h + 187 = 0. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015219339 to 7 dps.\nAnswer: 0.0015219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2040)\/(-300) - 2\/(-10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/67 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 1. Let v(x) = 7*x + 3. Let l(j) = -6*f(j) + v(j). Let m be l(-6). Suppose 5*n - 70 = -m*z, z - 40 = -0*z - 5*n. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22836.3 rounded to the nearest one hundred?\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 27. Suppose -r*d = d - 12. Let o = 208 + -206. Solve -d*z + 4 = -o*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4\/3 - 1060*q**3 + 31300*q**2\/3 = 0 for q.\nAnswer: 0, 10, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((-4 - -10) + -8 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 9*r + 21. Let f be m(-3). Let a = -6 + 10. Let l = -1 + a. Solve -f*x - d + l = 10, x - 3*d - 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3*p - 3*p)*(-2 + 13 - 4)*(-1 + 14 - 4)*(-2 + 1 + 2) as w*p + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 651630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -14.000112. Round u to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:13 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -38430143?\nAnswer: -4\/38430143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/4*2 - -39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65 - -66)\/(1\/5). Solve -5*v + 3*m = -v - 19, 17 = x*v + 3*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*z - 11*z**4 + 58*z - 2152*z**3 - 3 + 2149*z**3 as w*z**4 + l*z + x*z**2 + i*z**3 + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-34)\/(-10))*-15. Sort -3, q, 4.\nAnswer: q, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/21)*r*r*r*r*r*(r**(-6)*r*r)\/r*r assuming r is positive.\nAnswer: r**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293904 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u\/(u\/((u**0*u)\/u))))**(3\/17) assuming u is positive.\nAnswer: u**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f - 2*i + 4*i, -30 = -3*f - 3*i. Suppose -f = 10*y + 31. Which is the third biggest value? (a) 0.3 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 37*q + 12150. Calculate the remainder when q is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**13*p*p\/p**(-13\/3))\/(p*p**(2\/43))**26)**(-24) assuming p is positive.\nAnswer: p**(8128\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 1231 in ascending order.\nAnswer: -3, -1\/3, 1231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -18. Solve -t*y + l = -0*y + 20, -3*l = -2*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1798 and 5510?\nAnswer: 170810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(-34)*2*2\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 31*y**2 - 251*y - 257. Let k(t) = 3*t**3 - 33*t**2 - 246*t - 258. Let o(q) = 5*k(q) - 6*r(q). Solve o(d) = 0.\nAnswer: -6, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + (-95)\/(-38). Suppose 3*l - 3 = 2*c, -1 = 2*l + z*c + 7. Sort 3, l, -25 in descending order.\nAnswer: 3, l, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.4079 rounded to zero dps?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.255 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.36 and 32918942855.\nAnswer: 32918942855.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 38*t - 32. Let y be n(-18). Suppose -5*i + y = 2*r - 2, -3*i = -2*r - 10. Solve -j + i = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*(z**(-6)*z*z)\/z)\/(z**(-2\/3)*z)**(-10) assuming z is positive.\nAnswer: z**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 786563 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-16 + (-860)\/(-50)). Calculate the highest common divisor of 19515 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 4*z**3 - 3*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084 + 82 = -2*y - i, -1998 = -4*y + i. What is the greatest common factor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -116, -88, -38, 40?\n\"Answer: v**3 + 2*v**2 - v - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*w + 1, 6*v + 10 = 2*w + 2*v. Let s be 1*((-1)\/1 + w). Are -7\/5 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.84 - 1.04. Which is the third biggest value? (a) 1 (b) 0.28 (c) h (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 6*p + 28. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 19*m - 329 = 39*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0*l**2 - l - 2*l**2 + l**2 + 2*l + 6700. Let o be n(0). Suppose -j = -3*x + o, x + 2839 = 3*j + 22939. Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 288 = -20*h + 32*h. Let v(y) = -y**3 + y + 1. Let x(l) = 15*l**3 - 18*l - 18. Calculate h*v(r) - x(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - q - 5, -2*q = -5*r - 11. Let i = r + -1. Which is the smallest value? (a) i (b) -4\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6 - 0)\/((-15)\/9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1381*d = -1344*d - 1730675. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-5 - 9\/(-2))*(4 - 4). Which is smaller: 31\/50 or j?\nAnswer: 31\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:06 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216 + 445. Suppose -j + 695 = 2*d. List the prime factors of d.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*z + 165*z + 2128 = 61*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3) + -1 + 1 + sqrt(75))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 204, 429, 654, 879, 1104, 1329?\n\"Answer: 225*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 298 + 1790 = -2*y, -c - 3*y = -366. Let v = 201 + c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558204 is divided by 84?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -100.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 + 1123 = -70*u - 56*u + 49*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**5\/20 + s**4\/16 - s**3\/12 - s**2\/8 - 11. Factor c(n).\nAnswer: n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.219358nm?\nAnswer: 0.000000005219358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 63.4. Round d to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -13*p + 29. Suppose 0 = 3*k - 15 - 0. Suppose 7 = -i - 4*b - 1, 5*i = -k*b + 5. Solve 2 = -z + w, -p = i*z - 0*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2131*a**3 - 21*a**2 - 8621*a - 4.\nAnswer: 12786*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 6*x + 2. Suppose 0 = -4*k - 3*j + 15, 4*k + 4*j - 18 = 2. Suppose k = -9*u - 0*u - 54. List the prime factors of q(u).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) 2 (c) -1\/3 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/458 - -38707\/15114. Let o = t + -24\/11. What is the fourth biggest value in o, -2, -0.2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.447 - 0.4470503. What is i rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = i - 129 + 31 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = -9. Suppose 70 = -6*s + 178. Suppose s = -2*l + 28. What is the biggest value in l, -3\/2, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*h + 112, 35 + 57 = 5*h - 2*u. Solve 2*n - h = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i + 30 = 0. What is the least common multiple of i and 9 + -15 - (2 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x + 156. Let a be c(0). Suppose 2*m + 2*o + 206 = 0, 0*m + 210 = -2*m - o. Let b = m + a. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -2*p**9\/63 - 181*p**5\/60 + 18*p**2 + 6*p. Find the third derivative of u(i) wrt i.\nAnswer: -1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*p - 78*p - 626 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -24. What are the prime factors of ((-9)\/3 - -4)*k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 154*i**3\/3 + i**2 - i - 7. Let n be v(1). Suppose n = 5*p - 0*p. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*d + 11. Let w be (d + -4)\/((-2)\/26). Let n = w + 30. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-122 - (-37 + 16 - -24)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/10 + 32\/(-20) + 2. Suppose -4*j + j = 12, -y*j = 5*p - 100. Suppose -36 = -6*h + 5*h. Calculate the greatest common factor of h and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 48 = c, 0 = -r + 4*c + 12. What is the smallest common multiple of r and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1083*f - 8576. Determine k(-7).\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 109*b**3 + 2*b**2 - b. Suppose -7*h + 2 = 7*h - 12. Calculate d(h).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10344*m + 64. Give a(0).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1377) - sqrt(1377))*-5 + sqrt(1377) - -1*sqrt(1377)*-4) + -1)**2*2.\nAnswer: -432*sqrt(17) + 24818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 12 = -2*w. Let i = 16 + w. Let k be 9\/i + 12 + 0. What is the greatest common divisor of k and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-798)\/(-28))\/19*30\/9. Suppose -9\/2*w**3 - w + 0 + 5\/2*w**4 + 7\/2*w**2 - 1\/2*w**i = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)\/sqrt(10) + sqrt(50))*-2 - (sqrt(50) + 2 + (sqrt(2450) - sqrt(50))))**2.\nAnswer: 220*sqrt(2) + 6054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497d99 (base 16) to base 5.\nAnswer: 2213110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:53 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let w be (6 + -7)\/(3\/(-27)). Let m = h + w. Calculate the highest common divisor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050 is divided by 173?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4673305 divided by 35?\nAnswer: -133523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -172, 5, -17 in descending order.\nAnswer: 5, 2, -3, -17, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3. Let p be s(-1). Let j = p - 5. Let q(g) = g. Let h be q(5). Put h, -3, j in decreasing order.\nAnswer: h, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.896 + -6.104. Is d < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 9. Let l be f(-5). Let n be l\/3*9\/30. Suppose m + 2 = 7. What is the third biggest value in n, m, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 604 + -1072. Let c = x + 911. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, 128, 273, 478, 743?\n\"Answer: 30*h**2 - 5*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(33) - (2*sqrt(264))\/sqrt(8)))\/(-3*sqrt(33)\/sqrt(3)))**2 + 5 + 0 + 1.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58407347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53449 - 53447. Let g = 0.5 + -0.62. What is the closest to g in s, 5, -4, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*a + 30, 2*o + 2*a - 16 + 0 = 0. Let f be 1 - (-1)\/(o - (3 + -1)). Let t be 4\/(-24) - (-19)\/6. Solve f + t = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mxtm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 746972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 398, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -0.3, 0.5, -0.246, -1, -6, -755?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**2 - 5 + a**2 - 3*a**2 + 6*a. Let s be p(1). Solve -2*d + 4*v = -d + 1, s = 4*d - 4*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/20 + 3\/20. What is the closest to y in 0.2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13*g - 21. Let n be s(-11). Let f be -60 + -2 + (3 - 0). Let h = n + f. Round h to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.0043 + 4.7043. Let l(v) = -v. Let q be l(-1). Which is the nearest to q? (a) -1 (b) k (c) -2\/137 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -1 + 1 - (((sqrt(500) + 0)*-3)**2 + sqrt(500))) + -5*(-2*sqrt(405))**2*-6 + 3.\nAnswer: 44103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-6)\/(-1 + 4). Let d = g + -3. Is 5\/5 - (-53 + d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -66*y**3 + y**2 + 2*y - 3. Let l be p(-2). Suppose -2*b = 5*g - 210, -5*b + 3*g = g - l. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7826640553.\nAnswer: 29, 7507, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 8:26 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.07 - -17.2. Let p = 1.37 + r. Which is the nearest to 3? (a) p (b) -0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185*m**5 + m**3 + m**2 + 1888 wrt m?\nAnswer: -11100*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(96) + sqrt(24)))\/(((2*sqrt(50))\/sqrt(5))\/sqrt(5)).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10818*r**2 - 22030*r**2 + 10998*r**2.\nAnswer: -214*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 36376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -279540 bigger than -279542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -21*z**3 - 3597*z**2 + 2586*z + 1032 = 0.\nAnswer: -172, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 30*q**2 + 30*q + 1. Let o be d(29). Suppose -237*b = -232*b - o. Put -1, 4, b in ascending order.\nAnswer: -1, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*z + 3*z + 19, -7 = -y - z. Solve 0*n + y*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 72750440.\nAnswer: 145500880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 2:01 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*-4*1\/(-18)*-3. Calculate the greatest common divisor of s and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 752\/3 + -549\/2. What is the common denominator of 103\/22 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.8355 centuries to millennia.\nAnswer: 3.78355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Suppose 3*j - 348 = 3*o, -5*o = -3*j - s*o + 348. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4648\/(-2988))\/((2\/(-6))\/(1\/(-3)))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 56.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 20. Calculate the smallest common multiple of -24*(2 + (-15)\/q) and 1*-2 + 5 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051341 (base 6) in base 11?\nAnswer: 37203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/26140 and 61\/330.\nAnswer: 862620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/7 + 58*n\/7 + 60 = 0?\nAnswer: -6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(2\/(-4) + 1). Let a be 2\/8 - x\/8. Suppose -t - 4*t = 5*p - 550, -a*p = 0. What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 + 5*y. Let w be 45\/(-8) + ((-2934)\/144 - -20). Let m be (9\/4)\/((-12)\/(-64)). Let b(k) = 5*k - 15*k**2 - 2*k - m*k. Calculate w*b(r) - 11*x(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 804390 divided by -2\nAnswer: -402195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-8 + 3)) + (4 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -656\/7. Which is the smallest value? (a) -2\/3 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58322798 is divided by 29161389.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/22 and -89\/13540.\nAnswer: 148940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 1\/6, 46, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, 528, 1206, 2176, 3450, 5040, 6958, 9216?\n\"Answer: 2*l**3 + 128*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b5a0 + -c?\nAnswer: -3b5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffdffff. Give prob of sequence ff.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7233786 kilometers to centimeters.\nAnswer: 72337.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -34. Let u be ((-254)\/(-14) - 4 - -3)*7. What is the greatest common divisor of v and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56871.\nAnswer: 3, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 256\/17, 2\/15, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/7 (b) -4\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 84 = t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w + 6. Let k be j(-2). What is the greatest common factor of k and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83717 divided by 6\nAnswer: -83717\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 + 140*q**4 - 2304*q**3 - 5184*q**2 = 0. Calculate q.\nAnswer: -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407\/70 - -69\/35. Let s = 17281\/1772 + -1\/443. Calculate the common denominator of x and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/42 + 247*h**6\/12 - 124*h**5 + 3725*h**4\/12 - 2485*h**3\/6 + 16*h**2 - 36*h. Let j(z) = 0. Calculate z.\nAnswer: -497, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/(((-90)\/(-468)*-13)\/(-140))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let z = 112 + -72. Let o(b) = 21*b - 11*b**2 + 19*b - z*b. What is x(o(v))?\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394991067?\nAnswer: 3, 131663689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3\/4*r**3 + 9\/2*r**2 - 18 + 3*r = 0.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19\/26 - -3\/13. Let x be (((-4)\/(-54))\/((-1887)\/306))\/((-32)\/144). What is the third biggest value in s, x, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130912036 divided by -4?\nAnswer: -32728009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3 + 2421820*n**2 - 366564858592*n - 3299279897664 = 0.\nAnswer: -9, 302732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p - 25 - 31 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.163214584 times -0.2?\nAnswer: 0.0326429168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.79754 minutes to nanoseconds.\nAnswer: 4487852400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 438, 1745, 3916, 6951, 10850, 15613, 21240?\nAnswer: 27731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32813073 to the nearest integer?\nAnswer: 5728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 + 6 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from kzzkzkzzkzzzkzkzkzh.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*v + 7. Let g = v + 9. Suppose 0 = 4*n - 12, 0*o - 4*o = 2*n - 46. Solve -5*j - 4*s = s + 20, -o = g*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-14))\/36*36.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 149\/7 - (-2)\/(-7). Suppose 0 = 6*f + 11344 - 11380. Suppose -2*z = -7*z - 3*h, -5*h = z + 22. Solve l = z*m + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.284 - -414754730795?\nAnswer: 414754730794.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let m(b) = -14*b + 7. Give m(i) - 5*z(i).\nAnswer: -14*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29517443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -751341 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 70373081?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 1345152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d**2 - 3 + 0*d + 0*d**4 - 1\/3*d**3 - 6\/5*d**5. Find the third derivative of r(v) wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 11433?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 19*w - 85. Let q be l(4). Let n be 3 - q\/((-27)\/(-141)). Calculate the highest common factor of n and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16069281*y**3 + 38223181 wrt y?\nAnswer: -48207843*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) -1 (b) 7 (c) 4\/3 (d) -4\/3 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2223245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 5*i**2 - 5*i - 5. Let z = -53 - -55. Let t(s) = s**3 - 2*s**2 - 2*s - 2. What is z*v(k) - 5*t(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7916188 at least as big as -7916186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 72 = -104. What is the common denominator of 4 - (d\/(-14) + (-1688)\/(-336)) and 23\/5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*(1 + 4*p - 1) + 2*p - p + 0*p.\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 3*q + q**3 + (4*q**2 - 4*q**2 + 2*q**3)*(0 - 1 + 4) - 259 + 259 - 61*q**3.\nAnswer: -54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3 - 6 - 3 - 2 + (0 + 2 - 1)*(0 - 2 + 0))*(k + 12 + 38 - 3*k) as z + u*k and give z.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 945?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 372.96772242858 and -0.3.\nAnswer: 372.66772242858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:31 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 + 17)\/((45\/4)\/9). Factor -m*t - 36\/5*t**3 + 0 + 44\/5*t**2.\nAnswer: -4*t*(t - 1)*(9*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**31*b*b**(21\/5)\/b*b**(-21)\/(b**30*b) assuming b is positive.\nAnswer: b**(-389\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6731, 13460, 20189, 26918?\nAnswer: 33647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 6 + 6)*(0*w + 2*w - w + (3 - 2 + 0)*(4*w - w - 5*w) + 2*w - 3 + 3 + 4*w - 2 + 2 - w + 4*w - 2*w + (4 + 0 - 3)*(4*w - 2*w - w)).\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w**3\/7 - 228*w**2\/7 - 288*w\/7 - 80\/7 = 0. Calculate w.\nAnswer: -10, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 0, 7*d - 419 = 4*b + 4*d. Let j = 102 + b. Let t be (2\/(-6))\/((-12)\/9). Put j, -2, t in ascending order.\nAnswer: j, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*5*(-5)\/(4725\/(-54)) - (-54 + 1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 6*f - 11*f - 31, -2*q + f = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19713 + 20192. What is the remainder when f is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6324651 divided by -23?\nAnswer: 6324651\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Suppose 0 = c - 9 + 5. Sort -4, c, z.\nAnswer: -4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (6 + 128 + -10 + -20).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11111?\nAnswer: 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -17. Let j = -52 - n. Let c = j - -33.966. Round c to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -121111?\nAnswer: -121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252 - 250. Is 1\/(w\/(-21) - (-55)\/555) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**2 - 84*n**2 + 13*n**2.\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadaaaaaddaaaaaaaa. What is prob of sequence da?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/9, -2\/15.\nAnswer: -1\/4, -2\/15, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472065.\nAnswer: 3, 5, 11, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25423 (base 12) to base 16\nAnswer: c61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400 is divided by 593.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + 65\/15. What is the second derivative of -2*k**5 + 2*k + f*k**5 + 2*k**5 wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 8*d**2 + 12*d + 7. Determine b(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*i = -14581, -3*i - 19590 = -5*t + 4673. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 23912974*a + 428872744143507.\nAnswer: (a - 35869461)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -2\/3, -0.3, 159, 5.1 in increasing order.\nAnswer: -2\/3, -0.3, 0.1, 5, 5.1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15407514 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 301 + -144. Suppose w - 3*c = 3*w - 89, -4*w + o = -c. List the prime factors of ((-32)\/w)\/((-2)\/145).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6) - (-19 + 18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17312 - -16249\nAnswer: 33561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2904*z + 40859. Give p(14).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 67881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -250? (a) 98 (b) -2\/15 (c) -25.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -161*p + 323*p - 167*p + 182. List the prime factors of o(-20).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124, 124, 156, 238, 388, 624, 964, 1426?\n\"Answer: 3*z**3 - 2*z**2 - 15*z + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*d + 2*d = 25, -4*k - 4*d + 20 = 0. Are k and -2\/645 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.05, 1\/7, -1\/4, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -967 + 968. Let v = -109 + 1089\/10. What is the closest to a in 1, -4, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 331*t**4\/4 - 7227*t**3\/4 + 25213*t**2\/2 - 27645*t - 4950 = 0.\nAnswer: -55\/331, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/(-18) + (-2)\/4. Let i = 75 - -97. Suppose -r*s + s = -i. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*d - 10*d - 5*d + 17 = -6*i, 5*d - 10 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 57*q**2 + 6*q. Let k(i) = -114*i**2 - 13*i. Determine -13*g(l) - 6*k(l).\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j**2 - 145 + 145)*(2*j - j + j) + (2*j**2 - j**2 - 3*j**2)*(-2*j + 0*j + 0*j).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/5 + -58)\/((-4)\/10). Let l = -84 + m. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-10)\/50)\/(((-4)\/25)\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 40*k**2 - 5*k + 40.\nAnswer: 5*(k - 8)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (1 + -3)*1. Let a(t) = -2*t. Let f be a(-4). Let b(w) = w**2 - 9*w + 5. Let z be b(f). Put z, g, -1 in increasing order.\nAnswer: z, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955*b**3 - 933*b**3 - 915*b**3 - 5*b**2 + 6*b + 3060*b**3.\nAnswer: 257*b**3 - 5*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*j - 3, -2*w + 3*j + 25 = 2*w. Solve -c = -s - 0*s + w, 0 = 2*s - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*v + 11 = 0, 5*v = -5*c - 14 - 6. Let y(g) = -g. Let l(h) = 3*h**4 + 3*h - 70. Let w(b) = c*y(b) - l(b). Find the first derivative of w(m) wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(5 + -3 + 12))\/((-328)\/287)\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -30521 + 2171. What is the greatest common divisor of 378 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*x = 0, -2*x = 8*u - 13*u. Suppose u = 4*k + 5*r - 2719, -682 = -k + 3*r - 5*r. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 27.3. Which is the third biggest value? (a) 3 (b) -1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)*13\/(-49). Let u = -2\/49 - m. Let y = 148 - 147.7. Which is the third smallest value? (a) y (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 r when four letters picked without replacement from {r: 2, e: 9}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124832297 to the nearest integer?\nAnswer: 11173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11126 is divided by 116.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 - 30*o**2 - 3 - 21*o + 2 + 22*o to k + h*o**2 + i*o and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/36)\/(1\/9). Calculate the remainder when 57 is divided by -1*(-3 + -27)\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 17b3a2?\nAnswer: 17b397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67214, 67334, 67476, 67652, 67874, 68154, 68504?\nAnswer: 68936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -63, -90, -117?\n\"Answer: -27*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o**3 - 11*o**3 - 2*o**3)*(-17 + 17 + 7*o) as i*o**2 + k*o**3 + y*o**4 + h*o + u and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Suppose -4*r - q + 19 = 0, -21 - 2 = -5*r - q. What is s(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 8, l: 11, q: 1}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/32*-4*4\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1121716 divided by -3.\nAnswer: 1121716\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {w: 2, t: 1, r: 1, x: 1, v: 2, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64192065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, p: 1, j: 1, e: 2, u: 1, n: 4}. Give prob of sequence mjnu.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 - (20 + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:39 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -305067105342 + 22.1\nAnswer: -305067105319.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, 0.4, 21, 4, -0.09, -7\/3 in decreasing order.\nAnswer: 21, 4, 0.4, -0.09, -7\/3, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-64)*107\/(5457\/816)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3728 + 20928. List the prime factors of m.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 733404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaauaaaaauaaaauauuaa?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -25. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 4*a**2 - 4*a - 4. Let b(z) = -2*z**3 - z**2 + z. Let c(s) = 3*s**3 + s**2 - s + 3. Let w(t) = 4*b(t) + c(t). What is -3*q(j) - 4*w(j)?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let b(w) be the first derivative of -38*w**3\/3 + 5. Give b(a(o)).\nAnswer: -152*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29088, -117157, -263936, -469425, -733624?\nAnswer: -1056533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 575\/690*24\/75\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24910892, 49821782, 74732672, 99643562, 124554452, 149465342?\n\"Answer: 24910890*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -62*t - 3902. Let p be f(-63). Put p, -153, -2, 2 in descending order.\nAnswer: p, 2, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 10. Let z = 33542 + -33304. Calculate the remainder when z is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 - -141. Suppose 5*s + 2*l = 1752, h*l = -4*s + 1808 - 416. Is 37 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/123791708?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + (2 - -1 - 3)) - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*l - 0*l + j, 2*l + 5*j = -2. Suppose -l*m - 11 - 1 = 0. What are the prime factors of (3\/2)\/(m\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 45 = 7*v - 12*v, 55*q - 4*v = 16*q - 2*v + 249 + 139 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose -2*x = -4*u + 7399988, 2*x - 4*x + y*u = 7399991. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1048478 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-144))\/((-4)\/(-48))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 2*i - 1. Let o = -150 - -148. What is z(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382530885 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -436 - -445.88. Let o = -0.12 - r. Let p = -10.4 - o. Sort 0.2, p, -2\/11.\nAnswer: p, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -436403, -436416, -436419, -436406, -436371, -436308?\n\"Answer: t**3 - t**2 - 17*t - 436386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 5*q - 15, -5*p + q = -9. Let i = 2 + p. Suppose -1 = -4*l - 3*a, 2*a = i*l - 0 - 6. Sort 0, 5, l.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 9:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 404\/14659 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 4. Suppose 2*g + 10 = 0, -o = 2*o + a*g - 52. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*-4*(-11)\/(-20). Solve -9 = -p*s - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-540)\/176)\/(-15))\/(8883\/(-1692)).\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 21*y + 85. Let z be l(-16). Suppose z*r + 5*m = r + 4583, 4613 = 4*r - m. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617401 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from tytttttttntnttytnynt.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p + 3. Let v(k) = -5*k**3 - 4*k**2 + 1. Let h(z) = -4*z**3 - 4*z**2 + 1. Let t = 178541 - 178537. Determine p*v(l) + t*h(l).\nAnswer: -l**3 - 4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/30 and 31\/2121550.\nAnswer: 6364650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 6*s + 1. Suppose 5*d = 3*n + 157, n = 2*d + d - 91. Suppose -d + 9 = -5*v. Determine y(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/((-8)\/6))\/3. Let k be 1\/((-2)\/(342\/15)). Let v = -99\/10 - k. Which is the nearest to w? (a) -1\/14 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k\/(k**5*k*k*k)*k)\/k)**(46\/3) assuming k is positive.\nAnswer: k**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 5, i: 3}. Give prob of sequence ili.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 + -120. Suppose -4*v - q = v. Let j = v + 25. Calculate the highest common divisor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v**2 - 4*v**2. Let r(l) = -2*l - 1. Let t(z) be the third derivative of z**3\/6 + z**2. Let f(q) = -r(q) - t(q). Determine f(d(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c96b (base 16) to base 15.\nAnswer: 16ae79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**3 - 12*c**2 - 31*c - 2. Let t(b) = 8*b**3 + 10*b**2 + 27*b + 3. Let k(p) = -7*t(p) - 6*z(p). What is k(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3198, 6393, 9588?\n\"Answer: 3195*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v + 2. Suppose 7 = v*r + c - 1, -40 = -4*r + 4*c. Suppose -2*l + 4*p - 16 = 0, -4*l - 5*p + 242 = 248. Sort r, 0, l.\nAnswer: l, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 520\/364 + (-72)\/70 + 124\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 167308, 4 in descending order.\nAnswer: 167308, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13944 by -3486.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/68)\/(18\/(-2))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(228)\/(-2*sqrt(432) - sqrt(432)) - ((sqrt(114) + -2*sqrt(114) - sqrt(114)) + sqrt(114))\/sqrt(6)*-1)**2.\nAnswer: 5239\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(180) + sqrt(180) + sqrt(180))*1 + (1 + sqrt(180)*2 + sqrt(180))**2).\nAnswer: 300*sqrt(5) + 8105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 33*a**4 + 132*a**3 - 228*a**2 + 144*a.\nAnswer: 3*a*(a - 4)*(a - 3)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780*g - 791*g + 121 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l + 1. Let y be u(8). Let m be (y\/(-1) - -16)\/1. Suppose 4*s - m = -g - 0*s, -g = 5*s - 13. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/8*2 - 0. Suppose h*l = l + 12. Factor 4\/7 - 2\/7*b**l + 8\/7*b**2 - 10\/7*b.\nAnswer: -2*(b - 2)*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -6979857.\nAnswer: -4885899.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214266 - 428533 + 214267 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -101*u - 3. Let g(z) = 149*z + 5. Determine -8*d(a) - 5*g(a).\nAnswer: 63*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2871 and 26202?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-20)\/6300*9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25 + 11571\/(-475))*(-3)\/((-18)\/15). What is l in -8\/5*l + 0 - a*l**2 + 2\/5*l**3 + 2\/5*l**4 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22789, -182561, -616363, -1461211, -2854121?\nAnswer: -4932109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 103 - 0\/(-1). What is the greatest common divisor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 735641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616594 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b. Let h(l) = -144*l**2 + 2*l. Calculate j(h(q)).\nAnswer: -576*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.887 rounded to zero dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.2. Let o = 27.4 - 27. What is the biggest value in p, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + 2*m**2 + 2*m - 3. Let x be g(-2). Suppose -x*f = -2563 - 2387. Does 66 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2164844 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**2 - 4 - 23*s**3 + 24*s**3 - s + 4*s + 6*s. Let q be d(8). Differentiate -q*n**4 + 4 + 0 - 2*n**4 - 2 with respect to n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-450)\/20 + (-6)\/(-4). Let f be (-3 + b\/(-2))*(-8)\/10. Let n(m) = -m**2 - 4*m + 8. Give n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449 is divided by 177?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000561209889 to six dps.\nAnswer: -0.000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17344548 divided by -2.\nAnswer: 8672274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141066589 to the power of 1\/2, to the nearest integer?\nAnswer: 11877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 863903987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/3 + 13594*u\/3 - 46199209\/3 = 0?\nAnswer: 6797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 278 and 1117282?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721337*q**2 + 721329*q**2 + 3 - 3.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:56 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1633 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163416*y - 69201*y - 74591*y to the form d + n*y and give n.\nAnswer: 19624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 68 = 2*x + 4, x + 4*p = 42. What is the units digit of 4\/x - (-9505)\/55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 38. Solve -3*z - 12 = -0*n + 3*n, 0 = x*n + 4*z + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3459986 = 32*y + 527755 - 360921. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 410\/6 - (-8)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 206 or 3938\/19?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**3\/5 + 2156*y**2\/5 - 2168*y\/5 - 864 = 0?\nAnswer: -540, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.06 - -0.06. Let r = 7 + -11. Let k = j - r. Which is smaller: k or 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 7, x: 9}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17261952 is divided by 5753980?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*f**3 - 11*f**3 + 10*f**3 + 18*f**2 - 13*f**3 wrt f?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - t - t - t**2. Let s(l) = -16*l - 1 + 53*l - 12*l - 9*l. Calculate v(s(w)).\nAnswer: -256*w**2 + 32*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372632267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -3.21. Let q = u - -3. Let y = 81.5 + -81. Which is the smallest value? (a) y (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687.6343 + -682.79707497. Let s = i - -0.16277477. Let z = s + -5. Round z to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 6 + 3*t**2 + t**3 - 3*t + 1 - 2*t**2 + 5*t**2 to b + d*t**2 + z*t**3 + k*t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**2 + 1850*q + 29339. Give w(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 64 + 9. Let f be h\/(-6) + (-1)\/(-6). Let z(r) = r**2 + 7*r - 4. Is z(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6185)\/(-95) + (-14)\/133. What is the greatest common divisor of 455 and i?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 13*n - 6. Calculate y(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-126))\/((-3)\/(-36)*3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*r + 0*r - 3*r)*(-2 + 5 - 2) - 1 + 1 + 2*r)*(-2*r**3 + 8*r**2 - 3 - 8*r**2).\nAnswer: -6*r**4 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 5. Suppose 5*d - x - 80 = 0, 78 = j*d - 5*x + 18. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 11*b + c = -13, 7 = 3*b - 4*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257014 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35560)\/9525*(-10)\/(-21).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 282.\nAnswer: 5\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -26396898390 to the nearest 1000000.\nAnswer: -26397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 27 = 17. What is the lowest common multiple of g and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/6 + (-97)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/121 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 47. Suppose -o + h + 50 = 0, s*o - 4*h - 195 = -5*h. What is the remainder when o is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.74 years to millennia.\nAnswer: 0.68874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biwwbwbbwwwbbbbbbbw. What is prob of sequence wbwi?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (4 + -5)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2652 divided by -78\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1522.\nAnswer: 16742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109, -139, -219, -373, -625?\n\"Answer: -4*c**3 - c**2 + c - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by 357?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*j**2 - 2*j**4 - 48*j**2 + (j**3 - j**3 - 2*j**3)*(-1 + 2*j + 1) to s*j**3 + n*j**2 + z + b*j + w*j**4 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0592 + -2.0592. Which is the closest to 0? (a) -8 (b) g (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43677?\nAnswer: 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 2*l**3 - 2*l**3)*(2 - 17 - 2 + (7 + 0 - 3)*(10 - 17 - 2)).\nAnswer: 106*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -103555849\nAnswer: -103555849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4524 and 41767076?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 388 + -389. Let z be (1 - 0)\/(5\/(-3)). Which is the third smallest value? (a) i (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2151 (base 7) to base 10\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 752377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 112896060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 45. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7005 - 5763.9. Round q to the nearest ten.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + x)*(-2 + 2 - 2) - 189*x + 61 - 182*x + 369*x + (-3 + 4 + 3)*(-14*x - 25*x + 29*x).\nAnswer: -40*x + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v = 53*v - 348. Let a = 295 - v. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 1838*s + 127325. Determine b(-275).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or 19\/5?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0*y - y + 0*y. Let n be l(-5). Solve 0 = n*g + 26 - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - d9?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 40. Let o be f(13). Is o - -106 - (-2 - (-2 + -1)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 191?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*p + 26 = 0, 8882*c - 8907*c - 4*p - 88 - 132 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113\/4 + 28. Suppose 4*w - 31 = -4*d - 11, -2*w = -3*d - 10. What is the closest to d in -5\/2, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2924\/23 + -72269\/552. Let a = 7844275\/117 - 67045. Find the common denominator of a and v.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14591?\nAnswer: 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4030*y + 101178 = -2424*y for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (1752504\/56 - 26) + 4\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.03, 0.3, -1\/8 in increasing order.\nAnswer: -1\/8, 0.03, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + 5*h)*(94 + 0*h - 5*h - 80).\nAnswer: 5*h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**5\/15 + 38*y**2. Let x(l) = 2*l. Give x(i(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 + 6*h - 6. Let y be o(4). Let w be (-1)\/4*y\/4. What is the third smallest value in w, 2, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+13401\nAnswer: 13400.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 536\/1315 + -2\/263. Let m = -0.18 - -3.18. Which is the second smallest value? (a) i (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145362*n**2*v + 61489*n**2 - 2 wrt v?\nAnswer: -145362*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54023 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s**(1\/6)\/s)\/s*s))\/s**(-2))\/((s*s**(3\/7)\/s*s)\/s*(s\/((s**(1\/2)\/s)\/s))\/s))**(-12))**(-3\/10) assuming s is positive.\nAnswer: s**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122 is divided by 620.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32420, 64867, 97340, 129839, 162364?\n\"Answer: 13*j**2 + 32408*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(120)\/sqrt(4) - sqrt(30))\/((sqrt(60)\/sqrt(3))\/sqrt(2)))**2 - -4*(-4 + -1*sqrt(3)*2).\nAnswer: -8*sqrt(3) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 12. Is t greater than or equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5862, -9, 12 in descending order.\nAnswer: 12, 2, -9, -5862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -170 (c) 2 (d) 1 (e) -4 (f) -1 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*11)\/((-4741769967)\/(-474177000) + -10). What is o rounded to the nearest one million?\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255384 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 176. Calculate the lowest common multiple of p and 167.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/6*(27540\/(-180) + 159).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169568796 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okiwkikkcwkk. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 104*o - 1649. List the prime factors of w(78).\nAnswer: 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 828820406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 42*z - 600 = 0. Solve -17*t + z*t = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -1 in descending order.\nAnswer: -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 25*y - 2 = -20*y, 2*j + 3*y = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 17*i**2 + 20*i - 34. Let j = 35 - 17. What is the remainder when d(j) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 841*f**4\/2 + 4*f**3\/3 + 465*f + 2656. What is the third derivative of v(i) wrt i?\nAnswer: 10092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 901*j**4*q**3 + 4*j*q**3 + 2*j*q**2 + 42 wrt j.\nAnswer: 10812*j**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*v**2 - a - 3875*v**2 - 1927*v wrt v.\nAnswer: -4*a - 7750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 3*p + 1. Let m be g(2). Suppose 3 = 2*y + h, -y + 7 = -3*y - 3*h. Let c = y - m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22324050 and 1865.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-3000)\/5840))\/((-60)\/450)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -416501 times -1?\nAnswer: 416501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 199 - ((-4)\/8)\/1*6. Suppose -x = 32*u - 554. Put -4, u, -3 in ascending order.\nAnswer: -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/3 + k. Let y(o) = -33*o + 35. Let t be y(1). Let i(q) = -5*q**2 - q**2 - q**2 + 3*q**t - q**2. Calculate w(i(s)).\nAnswer: 100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 7*x + 11. Calculate n(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 12*q - 222 + 61 = 0, -q - 68 - 57 + 143 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -v - 5*f, 477*v + 3*f + 39 = 474*v. What is the fourth biggest value in v, 2\/9, -1\/3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 9 + 12 - (32 + -62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(5\/2))*l\/(l*l**(4\/13))*l*(l\/((l**(-1\/28)\/l)\/l))\/l*l**(-4)\/l assuming l is positive.\nAnswer: l**(83\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (9 - 18) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -3. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25740 and 8355633?\nAnswer: 501337980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 - 16760*r + 1833408 = 0. What is r?\nAnswer: -8488, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -155\/22 (c) 4\/5 (d) 0 (e) 0.1 (f) -2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 55, 40, -29, -170?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*24\/48 - 1*(-40)\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = -4*h + 4700, 0 = 2*h - g - 2350. Suppose -341*i = -346*i + h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 18*k - 45. What is o(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.977 + 20. What is q rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1264*v + 294*v + 6 - 3 in the form p*v + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 5, 1.4, 0.3, 0.329, -41 in decreasing order.\nAnswer: 5, 2, 1.4, 0.329, 0.3, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than -363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -2 - -5) + 36 - 16\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**2 - 74*d**4 + 2*d**3 - 2*d + 77*d**4 - 4 + 4 as a*d**3 + k*d + q + j*d**4 + g*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k - 1. Let b be h(-1). Let q = 189 - 172. Let z be (-3)\/24 + q\/b. Solve -4*c = -2*x + 26, 0*x = z*x + 4*c + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25025.9 centuries in years?\nAnswer: 2502590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -252931871 divided by 2\nAnswer: -252931871\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 15. Let j(n) = -1. Let x = -12782 + 12783. Determine x*p(y) + 2*j(y).\nAnswer: -3*y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose b + z*b - 105 = 0. What is the remainder when b is divided by (69\/(-115))\/(((-1)\/(-20))\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1\/(-6 + 5). What is the closest to 5 in u, -0.2, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/329)\/((-49)\/2744).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 12*i - 1979 - 4412. Solve 920*f + 7 = i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 0.19, 3, 88, 0, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738, -732, -724, -714, -702, -688?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-13))\/q**(1\/22))\/(q\/q**(2\/35))**30 assuming q is positive.\nAnswer: q**(-2207\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 63*z**2 + 5*z + 3. Is c(4) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14664717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17460 divided by 72.\nAnswer: 485\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f + 2. Let p be i(1). What is the remainder when 70 is divided by (6 - -30)\/(-2*3\/p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/17)))**43*(s\/s**(1\/22)*s)\/(s*s*(s*s**(-2\/9))\/s*s*s) assuming s is positive.\nAnswer: s**(10891\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 5 - 55*y**3 + y**2 + 53*y**3 - 2*y**2 + 4*y**4 - 5*y**4 - 6*y to the form o*y**4 + j*y**2 + x*y**3 + m + v*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029 - 577289.02491.\nAnswer: -577288.99591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 + 4*f - 4. Let x(t) = -t**2 + t - 1. Let n(s) = p(s) - 4*x(s). Let d(j) = -18*j - 2. What is n(d(a))?\nAnswer: -324*a**2 - 72*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/((-35)\/(-78)))\/((-3)\/10). Let n = g + -43. Calculate the highest common factor of n and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4\/7 - 1917*h**3\/7 - 228672*h**2\/7 - 64236*h = 0?\nAnswer: -101, -2, 0, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -62118 (base 9) to base 6\nAnswer: -513242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 23 - 29 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 12*h - 7. Let o be k(1). Suppose -f = -12*q + 16*q - 99, -f = o*q - 124. What is the remainder when 81 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5\/2 (c) 0.044636\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 + 203*x - 202 = 0. Calculate x.\nAnswer: 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1377)*2 + sqrt(1377) + -1 - ((sqrt(1377) - -4*(sqrt(1377) + 2)) + sqrt(1377))*-6.\nAnswer: 47 + 405*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9393, -19345, -29297, -39249?\nAnswer: -49201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 784172.5kg in tonnes?\nAnswer: 784.1725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from ttvvvevvvevvvvtvv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1820 and 1274.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let t = 4.88 - 4.38. Let k = t + d. Which is the nearest to -0.2? (a) 1\/3 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyw when three letters picked without replacement from {o: 1, y: 1, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6199789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.5? (a) -0.26 (b) 0.4 (c) -2 (d) 2\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-1521)\/(-2)))\/(-4*(-6)\/(-216))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 2, 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - w**2 - 4*w**2 + (-49 + 49 + 5*w)*(-4*w - w + 3*w)*(7 - 1 - 3 + (3 + 1 - 2)*(9 - 49 - 42)) as c + j*w + o*w**2 and give o.\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38835 divided by -5?\nAnswer: -7767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j. Let g(k) = -2*k. Suppose -m + 38 = 3*r, -26 = -r + 4*m + 4. Determine r*g(s) + 6*f(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167\/22 - -133\/11. Solve 0 + 3\/2*g**3 - 3*g + 9\/2*g**2 + 3\/2*g**5 - p*g**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*f**3 - 431*f**3 + 111*f**3 + 101*f**3 + 94*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -15 - -32) + 10 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/16? (a) -4 (b) 2\/85 (c) -15 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 - 2) - (-344 + 348)) + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17*l + 5. Let y(d) = -16*d + 6. Give 7*b(w) - 6*y(w).\nAnswer: -23*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18578.69 + 18455. Round y to 0 dps.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 33. Let m be (-4)\/7*2\/(-4). What is the smallest value in u, -1\/10, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4590 by -5.\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1152 and 52384?\nAnswer: 1885824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 7056 = -25*v - 65*v for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -22*i + 24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)\/((-2)\/(-78)). Let y be (-2 + v\/(-9))*3. Suppose -y*p - 2*o + 52 = -2*p, 0 = 3*p - 2*o - 28. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3206622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146322 (base 7) to base 2.\nAnswer: -110111111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3 + 3. Suppose z = -3*z + 4. Suppose -z = -d*m + 31. What is the greatest common factor of m and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - 440114243?\nAnswer: -440114342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 625?\nAnswer: 33\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 3*c - 105279*c**3 + 6*c.\nAnswer: -105279*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/9, 0, 86, -1\/67 in descending order.\nAnswer: 86, 20\/9, 0, -1\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.955 + 83. Let z = -77.955 - i. Let x = z + 77.999999. Round x to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (680 + -670)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.5 from -38.\nAnswer: -26.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 1, m: 2, u: 1, p: 1, l: 1}. What is prob of picking 1 l, 2 m, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/299, -0.1, 1, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 v when three letters picked without replacement from uijrvsi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1174 - 24*q + 2560 - 1290. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:19 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/17595 and -27\/25990?\nAnswer: 3976470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 18 + 2*p**3 + 1.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 75) + 9 - -59.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.46? (a) 3\/2 (b) 1 (c) 5\/4 (d) 103 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -243*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*p**3 - p - 2*p + 219*p**3 + 3*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -11)*(-17)\/2. Let s be (k\/(-18) - -1)*4. Let y = 0.9 + 0.1. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25607319 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 156 = l, 0 = -8*f + 6*f - 10. Let m = l + 193. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 15) to base 3.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8856 and 1232886.\nAnswer: 1819739736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 19 - 12)*(0 + 0 + 2)*(-2*v**3 + 2*v - 2*v).\nAnswer: -96*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10518 divided by -8474?\nAnswer: 5259\/4237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h + 3. Let z be o(8). Let v = 167 - z. Let a be (-1 + 13)*v\/57. Solve -8*l - a = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 110, 188, 304, 470, 698, 1000?\n\"Answer: 2*j**3 + j**2 + 35*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5 + 2*u + 1 - 2. Let c be (-2)\/(-3) + 52\/(-6). Let l = -4 - c. Calculate q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/11? (a) -6 (b) -41151 (c) -5 (d) 0.3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23744, -23739, -23734?\n\"Answer: 5*g - 23749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14781161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -2212101?\nAnswer: -2212034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -1\/19, 0.1, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Suppose -5*d - 8 = 4*a, 19 - 3 = 5*d - 8*a. Suppose 0 = 4*c - 3*g + j, 0 = -d*c + 4*c - g - 5. Calculate the least common multiple of c and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 74 + 15)*(4*x - 3*x - 5*x).\nAnswer: 244*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 37 = -3*p, 8*p - 4*p - 26 = 2*k. Let f be (k\/10)\/(3\/114). Let m = f - -22. Solve 4*v - m*v = a + 6, a = 2*v - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:01 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 11. Let d = -39.4 - -30. Let b = d + 9. What is the third smallest value in 4, f, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/14625*13\/1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 80.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4138, 16603, 37394, 66505, 103930, 149663, 203698, 266029?\n\"Answer: -y**3 + 4169*y**2 - 35*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.309 * -5719.818\nAnswer: -1767.423762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:46 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + (-9)\/(-5). Suppose 14 = 4*i - t. Let w be 1*(i + -3) + 1. Put -5, w, 4 in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 3. Let s(f) = -270*f - 4 + 465*f + 2 - 209*f - 1. Give o(s(d)).\nAnswer: 392*d**2 + 168*d + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2 + 54*w = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -740, -6574, -12408, -18242, -24076, -29910?\n\"Answer: -5834*w + 5094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/30 - 3*w**4\/4 - w**3 - 2*w**2 + 617. Give n(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2856580 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 31, 0, 423, 17 in descending order.\nAnswer: 423, 31, 17, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*b - 6 = 0, -2*b - 187 = 5*s - 205. Solve -s*i = 4*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*i**2 + 5*i**2 - 2*i**2)*(1 + 0 + 3)*(48*i - 26*i - 23*i + 1) as y*i**2 + w*i**3 + h*i + n and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157\/5 - 873\/20. Suppose -4*j - 7*u = -2*u + 14, -3*j - 12 = 3*u. What is the common denominator of ((-27)\/j)\/((-1)\/3) and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1400572 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 7*k + 630. Let v = -156 + k. Let y = v - -63. Is y > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823754.\nAnswer: 2, 11, 173807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -36*y**3 - 2*y**2 - y + 2. Let u(i) = -597 + i + i**2 + 1789 - 594 - 599 - i**3. Determine f(l) + 2*u(l).\nAnswer: -38*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:26 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27081743 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1243.\nAnswer: -372.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161 is divided by 138?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/3)\/((-8)\/(-24)). Let c = o - -198\/5. Let d = -371\/195 + 23\/13. What is the second biggest value in c, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34767054.\nAnswer: 2, 3, 7, 275929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 y when three letters picked without replacement from {y: 3, r: 7, x: 2}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-22)*(-4)\/(2*(-12)\/(-8))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -321083, -642105, -963127, -1284149?\n\"Answer: -321022*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*a + 3 = -2, 2*z = 4*a + 24. Suppose -5*b**z - 2 + 25 + 5*b**3 + 32 + 5 - 40*b = 0. Calculate b.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -4 (b) 0.3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z + 12. Let v = 5 + -5. Let h be g(v). Let a be ((-8)\/3)\/((-2)\/h). Solve 0 = -n + 5*n - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2. Suppose 6*m - 3*u + 35 = 8*m, -68 = -4*m - 4*u. Let h(d) = 48*d**2. Let o(i) = -148*i**2. Let t(g) = m*h(g) + 5*o(g). Give t(x(f)).\nAnswer: 448*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34 + -23 - 6924\/630. Let d(r) be the second derivative of -2\/35*r**5 + 0 - 1\/7*r**4 - 13*r - 1\/7*r**2 - k*r**6 - 4\/21*r**3. Factor d(c).\nAnswer: -2*(c + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366640504 to the power of 1\/2, to the nearest integer?\nAnswer: 36968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6.613928*8\nAnswer: -52.911424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/427 + -3406\/2135. Let n = x + 14\/15. Which is the nearest to -0.1? (a) -0.09 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 32. Suppose -153 = 21*j - 24*j. What is the highest common divisor of j and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8253*f**2 + 8133*f - 120 = 0.\nAnswer: -1, 40\/2751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-450)\/2100 - 2\/(-42)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 12*p)*(0 + 2 + 0).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2007*y + 582*y - 902*y)*(-y - 1 + 1).\nAnswer: -1687*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - v + 4. Let j(p) = 3*p**2 + p - 3. Let r(i) = 2*b(i) + 3*j(i). Let y(h) = -3*h**2 - 4*h + 3. Let s(m) = -4*r(m) - y(m). Factor s(n).\nAnswer: -(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 12*h - 2. Let p(l) = -l**2 + 13*l + 3. Give 3*g(c) + 2*p(c).\nAnswer: 4*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5832750 and 233310.\nAnswer: 5832750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*g - 9, 0*t + 2*t = -g + 6. Let j = t + 5. What are the prime factors of ((-2)\/1)\/((-4)\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020464 to five decimal places.\nAnswer: -0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1002*n + 1002*n - 16*n**2 - 3812*n**2 to d + k*n**2 + j*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (1 - 4 - 0). Suppose -2*x + s = -6*x. Let h = -2\/3 + 0. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 - m**3 + 4*m**3)*(-2*m + 0*m + 4*m + (-2*m + 4*m - m)*(-2 - 5 + 4)) to r*m**2 + n + t*m**3 + u*m**4 + o*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-31)\/((-124)\/48) - 10. Factor 1\/3*p + 1\/6*p**l + 0.\nAnswer: p*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*h - 2*h. Let j = -3 - h. Suppose -4*w - w + 700 = j. What is w rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1636.1969412 + -1636.2. What is t rounded to five decimal places?\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58642, 58637, 58630, 58621, 58610?\nAnswer: 58597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 11946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z**2 + z**2)*(4*z - 4*z + 3*z) - z**3 + z**3 - 5 - 2*z**3.\nAnswer: 4*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9058, -17994, -26912, -35806, -44670, -53498?\nAnswer: -62284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w**4 - 2*w**4 - w**4)*(11869 + 3668 + 6412 - 3103) in the form u*w**3 + p*w**4 + d*w + v + l*w**2 and give p.\nAnswer: 18846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/5 (b) -2\/5 (c) -3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -29, -21 in descending order.\nAnswer: 5, 3, -21, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319 a factor of 294805575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, -2\/3, 0.01, 6.8, -2 in increasing order.\nAnswer: -2, -1, -2\/3, 0.01, 0.2, 6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -26*h**3 - 3*h**2 - 6*h - 11. Let o(r) = 9*r**3 - 3*r**3 + 1338*r - 664*r + 3*r**3 - 672*r + r**2 + 4. Calculate 17*o(p) + 6*z(p).\nAnswer: -3*p**3 - p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(6*(3*(-4 + sqrt(832) + sqrt(832)*-1 + 2) + -4))**2.\nAnswer: 21604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*g + 8, a - 2*a = -g - 1. Let l = 4 + a. Suppose -3*w = -15 + l. Solve -15 = -q + w*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372576 is divided by 95.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 4*j + 3*j)*(4*j**2 - 5*j**2 - 4*j**2) in the form z*j**2 + n*j**3 + h*j + s and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 44*v - 184. Let w be q(-8). Let f = 1920 + w. List the prime factors of f.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2802073766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10524200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*v + 6 + 6 = 0, 5*c - 2*v - 18 = 0. Let j(k) = -2*k**c + 16 - 16. Let i(h) = 62*h**2 - 106*h**2 + 37*h**2. Give j(i(t)).\nAnswer: -98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*24 + -5 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 40\/(31680\/744)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*-6*(-5)\/(-20)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18845 + -51888.\nAnswer: -51887.81155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**3\/6 - 19*v**2\/2 - 40*v. Give l(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 2*p. Suppose -2*a + 7 + 13 = 0. What is the least common multiple of x(-2) and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89739339*l*z**3 - 527*l*z**2 + 71*l - 2*z - 195 wrt z?\nAnswer: 538436034*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 11*h**2 - 12*h + 6. Let l be c(10). Let f = l + 21. Let k = f - -4. Calculate the highest common divisor of k and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 2*o - o + (-o + 3*o + 0*o)*(6 - 2 - 5) - 3*o - 3*o + 4*o + 0*o + o + 2*o + 4*o - 2*o - 4*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1609*i**2. Let j(k) = -255104*k**2. Determine j(h(p)).\nAnswer: -660433898624*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 139062.\nAnswer: -2781.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-342)\/(-27). Let k(y) = 9*y**3 - 2*y**2 - 13*y - 9. Let f(i) = -4*i**3 + i**2 + 6*i + 4. Determine s*f(z) + 6*k(z).\nAnswer: 2*z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 3. Let v(c) = -5*c**3 + 4*c - 1. Let y(f) = 6*f**3 + f**2 - 5*f. Let h(d) = 7*v(d) + 6*y(d). Let g be h(-6). Calculate k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3846.693ml?\nAnswer: 3.846693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -116*h**2 + 678. Let i(d) = 4*d. Calculate o(i(n)).\nAnswer: -1856*n**2 + 678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -181, -294, -517, -886, -1437?\nAnswer: -2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8814, -8800, -8786?\nAnswer: -8772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w + 4*c, -2*w + 28 - 1 = 5*c. Let r = 65 - w. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.726281 to one dp.\nAnswer: 92.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 2*h**4 - h**4)*(-11*h - 144 + 21*h - 6*h) - 4 + 2*h**5 + 4.\nAnswer: -6*h**5 + 288*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 14 + -10 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -31. Suppose 0 = -2*k - 4*p - z, 10 = 2*k - 5*p - 0*p. Solve 3*w + 5*q - 10 = 0, 2*q = -5*w - k*q + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*h + 4*k + k, 9 = 3*h - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-368)\/(-100) + -4)*(-7 + (-3399)\/(-484)). Let b(k) = -k**2 + k + 1. Let z be b(0). Is x >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20002, -44746, -69490, -94234?\nAnswer: -118978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -9*z**4\/4 - z**2 - z + 613. Determine j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, a: 1}. What is prob of sequence al?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6315\/(-6))\/5 - 3\/(-2). What is the smallest value in d, 1\/8, 0.2, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1785*v - 1638*v + 294 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1056 and -83\/264.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 17*x + 84. Suppose -31 = -20*d - 451. Let p be f(d). Solve 4*g + 13 + 3 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 30. What is j(13)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-60)\/(-8))\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/60 - j**4\/8 + j**3\/2 - 3*j. Let h(a) be the second derivative of m(a). Is h(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 23)\/(4\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162924*i - 924 = -1162858*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71435687\/1290 - -276864\/5. Let c = -2087\/1806 - -29\/42. Let f = v + c. What is the common denominator of -73\/10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.083 (c) -4 (d) 0 (e) -14 (f) -1 (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 191, 864, 1977, 3524, 5499, 7896?\n\"Answer: -c**3 + 226*c**2 + 2*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-18 + 27 + 32)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 10) + -145 + -3 + 71?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.111? (a) -4 (b) 3 (c) 1 (d) 1\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12.55153 + -4786670\nAnswer: -4786682.55153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -68?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 6, i: 2, e: 2, n: 3}. Give prob of sequence eg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*g + 456 + 8, 3*y + 3*g - 660 = 0. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3818180, 7636362, 11454544, 15272726, 19090908, 22909090?\nAnswer: 26727272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49131714 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42891\/4 - 10723. Which is the closest to -2\/5? (a) -0.14 (b) g (c) -11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*m - 432*m = 907*m + 269*m - 106000 for m.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(95))\/(sqrt(20)*-3).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 73*c**7\/210 + c**5\/10 - 2*c**4\/3 + 8*c**3\/3 + 231*c**2. Find the second derivative of q(a) wrt a.\nAnswer: 876*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 9:10 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4 + 1 - 3 + 20*s. Let j = -170 - -173. What is the tens digit of p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2 - 17. Let l(x) = -4*x**2 - 2*x**3 + c*x**3 - 2*x - 2*x. Let p be l(5). Solve 7*s - 3*s + 5*g = 13, g - p = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7.8. Suppose 4*w + w - 25 = 0. What is the third biggest value in w, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11806352 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7146 is divided by 4843.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 7*z**2 - 4. Suppose 0 = -3*w + 4*w - 6. Let m be f(w). Let r be 27\/45 - (-14)\/m. Are r and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 4*r - 4. Let z = -7 - -1. Let t be j(z). Let y be 2*(-4 - -8)*2. What is the highest common factor of y and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 11 = 3*j - f, 5*j + 3*f = 7. Let b = j - 2. Suppose 2*w - 3 - 1 = b. Is -1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 - (1 - 3). Let t = 1 + 9. Suppose -3*j + q = -6, 2*u + t = 2*j. Which is the third smallest value? (a) 3 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5966.6 + 5967. Which is the fourth smallest value? (a) 2 (b) m (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/22, -57060, -4, -1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfcfcffccc. What is prob of picking 2 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c + 2. Suppose -6*s + 29 - 5 = 0. Let d(w) = -w**3 + 3*w**2 + 4*w. Let u be d(4). Suppose -s*a - r - 9 = u, 12 = a + 4*r + 3. Give i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 6*s + 3*r - 2, 18 = 5*s - r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 183\/21 + 8\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 822588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1218\/(-42)*8\/(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (3\/(-24)*442)\/((-2)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:01 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 36 = -4*q, -w - 2*q + 87 = 99 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 0*f**3 - 8*f + 1 - 2*f in the form x + j*f**3 + i*f**2 + p*f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (222 - 153 - 63) + 16 + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/1480)\/((-2)\/(-35))*(-4)\/(-56).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167072926 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1 + 3 + 2*q**2 + 2*q - 6. Let x be f(-2). Suppose 0 = x*s - 7*s. Let o(l) = -l**2 + l. Give o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/4, -2896, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -33*m**3 + 2*m + 1. Let v be q(-1). Let u = v + -125\/4. Let z be 510\/(-270)*42\/(-119). Which is the second biggest value? (a) u (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-14) + 1880\/(-140). Put 0, s, -1 in ascending order.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 101, 153, 205?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2342464 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -4*g + 3, 2*t - 3*g - 41 = 0. What is the greatest common divisor of 1444 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 4*u = -32, 3*u + 11 = x. Calculate the greatest common divisor of 377 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d - 1200 = -57*d + 57*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 54. Give n(6).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, 124, 313, 554, 841, 1168?\n\"Answer: -v**3 + 35*v**2 + 33*v - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 771 (base 10) to base 3\nAnswer: 1001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b4b (base 13) to base 6\nAnswer: 12522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 1. Let b = -3418 - -3423. Sort p, 0, b.\nAnswer: p, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8309165 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235*y**5 + 37*y**3 - 37*y**3 + 684*y**5 + (y**5 + 0*y**2 + 0*y**2)*(-4 + 3 + 3).\nAnswer: 451*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**3 + 4*i**2 - 2*i - 2. Suppose -5*x + o = 8, 2*x + o = x - 4. Let d(a) = -a**3 - a**2 + 1. Give x*d(n) - b(n).\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2))\/(19 + -18). Is w greater than 4\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 17*i. Which is the biggest value? (a) -3\/7 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/3*((-9632)\/(-1120) - 1*9). What is the biggest value in -230, l, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.128 in 1\/9, 5.8, -2, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5927 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1 + 4*h**3 + 0*h**2 + 4*h - 4*h**2 - 5*h**3. Let v(k) = k**2 - 3*k - 9. Let a be v(4). Give u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/16*9\/21)\/((-9)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -2. Let n(b) = -b**2 + 13*b - 1. Let r be n(y). Suppose -83*u + 4656 = 54*u + 57*u. Is r greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 4:37 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2 + 2*sqrt(17))**2) + 1.\nAnswer: -71 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -124612498 divided by 62\nAnswer: -2009879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 42*d**2 - 46. Let i(j) = 1. Calculate -i(w) - v(w).\nAnswer: -42*w**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/32561?\nAnswer: 2\/32561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*t + m + 201, -2*t + 113 = 152*m - 269 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.6 + -1.6. Let g = w + -6.6. Let a = g + 1.4. What is the nearest to 5 in 2, -5, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320) + -1 + sqrt(320) - sqrt(10)\/(sqrt(8)*-3))**2.\nAnswer: -97*sqrt(5) + 47369\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let s(u) = -u**2 + u**r - u**2. Let a(d) = -2*d + d + 5*d. Calculate s(a(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 16*i + 22. Let r be c(-10). What is the lowest common multiple of 168 and (-30)\/80 - r\/(-16)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 12729 - 12857. Solve s = 19*j + 33 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:33 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and -99588110.\nAnswer: -99588123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(10) - (sqrt(3) + sqrt(147)*-2))*-3 + ((sqrt(108)*-2)\/sqrt(3) - sqrt(36))\/(1*sqrt(300) + sqrt(300)) + 5.\nAnswer: -453*sqrt(3)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34223240 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = -10*s + 12*s - 54, -2*s - n - 2*n - 125 = -124 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41486*h**2 - 66875*h.\nAnswer: -82972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-110))\/(2\/5)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490671.\nAnswer: 47, 197, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 4*h**2 - 2*h - 1 + 0 - 12*h**2. Let i(u) = -u**3 - 11*u**2 - 10*u - 2. Let g be i(-10). Let o be g\/4*(-2)\/(-1). What is k(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1509253.\nAnswer: -4\/1509253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/210 and -83\/735.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 33. Let s be n(7). Let k be 3\/(-6)*(s\/2 - 3). Suppose 0*t = -x - 3*t - 6, 0 = k*x - 4*t + 22. Is -9 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y - 1. Let w(o) = 698*o**2 + 25*o - 5. Determine 5*g(i) - w(i).\nAnswer: -703*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -957.34, -0.1, 5, -5\/2, 1\/6, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 20*t**2 + 19*t + 8. Does 3 divide x(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-71)\/(-497))\/((-2)\/(-14)). Let r(o) = -o**2. Let q(w) = -w**3 + 6*w**2 - 12. Calculate j*q(i) + 5*r(i).\nAnswer: -i**3 + i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 7*n**2 - n + 7. Let m be t(7). Suppose m*j = 3*j - 45. Let o = -13 + j. Solve 0 = -3*a + o*g - 11, 4*g - 15 = 5*a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 66409 = q, q = -3*s + 14816 + 34996. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 - -0.03. Let g be 5387\/63 + (-4)\/18. Let s = g + -85. Which is the nearest to 1? (a) s (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-78)\/104*12. What is the second smallest value in u, 3, -509, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m)\/((m\/m**(-1\/3)*m)\/m*m)*m**0\/m**(2\/5) assuming m is positive.\nAnswer: m**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-387*m**2 + 387*m**2 - m**3 - 16)*(-m - 4*m + m) as v*m**3 + n*m + k + w*m**2 + l*m**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 206. What is the derivative of 160 + 34*v**3 + h*v**3 + 185 - 322 wrt v?\nAnswer: 135*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119988.\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g. Let n(z) = -126*z + 887. Let l be n(7). Let t(w) = -13*w**2 + 5*w. Give l*u(f) + t(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let b(n) = 9*n**2 + 24*n. Calculate p(b(x)).\nAnswer: 18*x**2 + 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 8 - 5)*(2 + 8 + 22)*(5*r**4 + 5*r**2 - 5*r**2).\nAnswer: -4640*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2231, -0.1, 1\/7 in increasing order.\nAnswer: -2231, -0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3025*q**3 + 65 + 67 - 3029*q**3 - 132.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1994871.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3316*s - 301. Let k be c(1). What is the highest common divisor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(sqrt(19) + sqrt(19)*-4))**2.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((-1*sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72)) - sqrt(72))*-2)\/(-5*sqrt(5184)*2).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f - 16. What is the remainder when 51 is divided by v(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*((-3)\/(-2))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38630600*n*p + 6*n - 12732*p + 5631 wrt n?\nAnswer: -38630600*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m + 5*m + 4*m**2 + 0*m**2 + m**2 + 4*m - 4*m + (m + 3*m - 6*m)*(m - 4*m + 2*m).\nAnswer: 7*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o - 88*o = 360. Let f be 603\/(-12)*(-24)\/27. Let m = f + o. Which is the nearest to 2\/7? (a) m (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 158197\/156 + 1\/(-12). Suppose r = -g + 399, i = 4*r + g - 588. What are the prime factors of r?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-12)*(-3)\/12*(-30)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 13, -4, 2, 28, 0 in increasing order.\nAnswer: -20, -4, 0, 2, 13, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 74590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 7*v**2 - 7*v + 9. Let u be h(-8). Let c(q) = 2*q - 4*q**2 + 0 + q + 3*q**2 - u. Determine c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*w = -2, -2*c - 2 = -3*w + 2. Let m = 23938 + -23936. Put -5, m, c, 4 in descending order.\nAnswer: 4, m, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - 285. Let r = d + 386.999767. Round r to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2036150.\nAnswer: 4072300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26123726, 26123725, 26123724?\n\"Answer: -a + 26123727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m + 26*m**2 + 39 + 51*m**2 + 0*m**3 + 2*m + 3*m**3 - 16*m**2. What is the remainder when k(-20) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 46. Suppose -7*u = -s + 1. Sort -1, -0.5, 0, u in ascending order.\nAnswer: -1, -0.5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 178.\nAnswer: -71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 920 = -12*l. Let c be l\/(-18) - (-2)\/(-9). Let h be (-8)\/4 - (-9 + 2). Solve -h*p + c*p = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.004. What is g rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0 + 11*i + 0*i**2 + 1\/20*i**5 + 5\/12*i**4 + 5\/6*i**3. Let u be p(-2). Solve 5*x + 9 = -u*c + 4*x, 4*c = 5*x - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(72)\/sqrt(3))\/sqrt(8) + -6*sqrt(12)\/sqrt(4)*-1.\nAnswer: 5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 5*v**3 - 9 - 4*v**3 + 3*v**3 to d + n*v**3 + q*v**2 + h*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/30)\/((-10)\/(-15)). Let w be ((-2)\/8)\/1*-4. Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -16, -5, -13, -4 in increasing order.\nAnswer: -16, -13, -10, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8541014 and 199?\nAnswer: -1699661786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-498)\/(-15))\/((-32)\/220 + (-12)\/(-22)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 573264 and 119430.\nAnswer: 2866320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19746767.\nAnswer: 29, 109, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36244 is divided by 509.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -363739027 to the nearest one million.\nAnswer: -364000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900400 rounded to the nearest ten thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12093?\nAnswer: 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1405827 or -1405838?\nAnswer: -1405827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174250 and 10004500.\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 4*y - 4, 0 = -p + 3*y + 3. Suppose p = -4*t + 2*m - m + 37, t = 4*m + 28. Solve 4*q = -f - 27 + t, -q + 2*f = -2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 3*r**3 - 3*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:16 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/6 + -6*(-9)\/(-22)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - 11?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -7*n + 4, -t - 8*n + 18 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 220 = -148. Suppose 3*f - 26 + q = 0. Let n = f - -21. Which is smaller: -12\/7 or n?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**(5\/16)\/(y**(-2\/7))**25)**22 assuming y is positive.\nAnswer: y**(13585\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/84 and 2\/41.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.96172 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1708 + 1733. Solve 5*h - u = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-292)\/14)\/((4\/(-7))\/4). What is the greatest common divisor of 1387 and q?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 160?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 213*o**2. Let n(a) = -4*a. Determine v(n(f)).\nAnswer: 3408*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l - 22. Let m(d) = 12*d - 23. Let y(s) = 5*m(s) - 6*t(s). Differentiate y(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - 4.88. Let z = 0.1 + -0.2. Let f = 0.17 + 0.33. Which is the closest to z? (a) f (b) q (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1817 - -1816.4. What is the nearest to s in -4, 1\/3, -1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604374301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -4*w**3\/3 + 5*w**2\/2 + 4*w + 14. Let b be o(-1). Sort b, -2, -1\/10, 5.\nAnswer: b, -2, -1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -20.2948237\nAnswer: -60.8844711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -63, -1\/5, 731, -9, -1\/11 in decreasing order.\nAnswer: 731, -1\/11, -1\/5, -3, -9, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 18 = 43. Suppose 1167665 = -d*k + 4234665. Let t = -313400 + k. What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -17*r - 68*r + 52. Suppose 421 = 3*o + 4*q - 155, 0 = o - q - 185. Calculate the least common multiple of r and o.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5363\/40 + 631\/5. Find the common denominator of x and 13\/355.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -2\/3, 0.07, -0.15, 0.11, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 84685536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 841503.\nAnswer: -5\/841503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 58*y**2 + 28*y - 14. Let l(i) = 20*i**2 + 10*i - 5. Let z(j) = 14*l(j) - 5*r(j). Let s(n) = -40*n**2. Determine s(z(t)).\nAnswer: -4000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 14.3.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 828400 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let q(u) = -2*u - 5. Let l be q(-4). Suppose a - 57 = -47. Calculate the lowest common multiple of d(l) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(2\/23)\/(x**19*x)**33)**(-32) assuming x is positive.\nAnswer: x**(1457408\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/14)\/((36927\/57442)\/((-1)\/(-7)))?\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2269 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 divided by -1938136?\nAnswer: 291\/1938136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5653, -7185, -8717, -10249, -11781?\n\"Answer: -1532*d - 4121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278501879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12 + -7*315\/(-108) and -169\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 8*u - 74. Determine j(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 less than 4?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -4 (b) -0.11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 39 = 63. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(4\/11)*v**2)\/((v**(-8)\/v)\/(v\/v**4))*((v*v\/((v**(3\/5)\/v)\/v))**(-34))**(31\/4) assuming v is positive.\nAnswer: v**(-97489\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -24*f**2 + 123\/5*f - 3\/5*f**3 + 0 = 0?\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*k - 10, 4*t - 2 = 3*k - 2*k. Let z be (-1 + -5)*(-6)\/k. Solve -h + z = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2252344 divided by -1?\nAnswer: 2252344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmgm when four letters picked without replacement from {g: 3, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9432*v + 14629*v - 29079*v - 31428*v.\nAnswer: -55310*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3930383581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4756860 and 151\/551520.\nAnswer: 38054880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9ea + 5a?\nAnswer: a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**0\/b))**(-9))**38 assuming b is positive.\nAnswer: b**(-684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 5763.\nAnswer: 46104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12306914.2 to the nearest one thousand.\nAnswer: -12307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*g*r**3 - 5*g - 39*r**4 + 2*r**2 - 76322 with respect to r.\nAnswer: 375*g*r**2 - 156*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15394847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6257, -6258, -6259, -6260, -6261?\nAnswer: -6262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 10. Let p be g(-5). Suppose 452 = -8*z + p. Is (-36)\/z*(-2922)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millennium in decades?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -90, 5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g - 5*g + g - 18*g. Let w(m) = 2*m. Give w(x(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 551 - 481. Let k be (3 - (-6)\/14) + (-30)\/j. Solve i - 2*i = -5*s - 15, k*i = -s - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656836719?\nAnswer: 3, 7, 11, 406207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4320)\/1620)\/(32\/(-72))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152863567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 578\/89 + -1487016\/228997. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-22206.6.\nAnswer: -5107.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 11. Let c = 18 - z. Let r = 1 + 19. Solve -c*v - v + r = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58602, -58608, -58614, -58620, -58626?\n\"Answer: -6*y - 58596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 - 4*h - 7. Let y(u) = -2*u**3 + 6*u**2 + 8*u + 13. Let j(r) = -5*d(r) - 3*y(r). Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136 + -146)*(-1)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -172*p + 4670. Calculate y(27).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -890881\nAnswer: 6\/890881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 19*h**3 + 2*h**2 + 2*h. Let b be (18\/54)\/(2\/(-4)*(-2)\/(-3)). Determine m(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 125 - (5 - (-3 - -7)). Let v = 139 - y. What is the units digit of 2402\/14 + v\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 4*t - 50*t + 57*t. Let x(r) = 1. Let m(y) = 2*y**2 + 3*y + 11. Let k(a) = -4*m(a) + 44*x(a). Determine -2*k(h) - 9*s(h).\nAnswer: -2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/12)\/m*m**(-8)*(m*m\/m**(-2\/7))**(-8\/7))**(2\/3))**10 assuming m is positive.\nAnswer: m**(-33895\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (30 + -22 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 74 - 463*u + 2.\nAnswer: -463*u - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 3*y**2 + 3*y**2. Let i(s) be the third derivative of -s**4\/12 - s**2. What is n(i(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5\/6 - 4*w**4 + 1111*w**3\/6 - 339*w**2 - 528*w = 0.\nAnswer: -48, -1, 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 9:51 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1848373 + -5?\nAnswer: -1848378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 5*v**2 - 5*v + 15. Let s(k) = -2*k**3 - 3*k**2 - 3*k + 8. Determine -3*a(y) + 5*s(y).\nAnswer: 2*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0*d + 0*d**4 - 11\/60*d**5 + 62*d**2 + 0 + 0*d**3. Let p(a) = 2*a**2 - 2*a**2 + a**2 + 5*a**2. Give y(p(k)).\nAnswer: -396*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19055 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - t**3 - 5*t**3 + (t + t**2 - t)*(-2*t + 3*t - 2*t) + (7 - 21 + 4)*(t - 5*t**3 - t).\nAnswer: 47*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*p - 261*p + 359*p + 1536 = -816 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 70*l - 4*l - 9*l.\nAnswer: 2*l**3 - 83*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/17)*x*(x\/x**20)\/x assuming x is positive.\nAnswer: x**(-324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-6)\/(-84)*-2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = y + 4*b, -b = 5*y - 2*b - 4. Which is bigger: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/731 (b) 5\/4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 3*s**2 - 4*s - 3. Let c be t(3). Let n(x) = c*x**2 - 14*x**2 - 19*x**2 - 11*x**2. Let o(f) = -29*f. Give o(n(g)).\nAnswer: 145*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -276, -294, -328, -384, -468?\n\"Answer: -n**3 - 2*n**2 - 5*n - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(27) + sqrt(3) + -2 + sqrt(3) + 1)**2.\nAnswer: -40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18769, 150138, 506723, 1201132, 2345973, 4053854, 6437383?\nAnswer: 9609168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*n**3 + 38*n**3 + 2*n**4 - 6*n)*((0*n - 2*n + n)*(3 - 1 - 1) + n + 9*n + 2*n).\nAnswer: 22*n**5 - 66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 4*k**3 + k**3 + (-119*k - 6013 + 6013)*(-3*k + k**2 + 3*k).\nAnswer: -118*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12888 + -12882. Suppose -m + 5*m - 36 = 0. Solve -h = 3*j + 6, r + 3*j + m = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 69*n**3 + 5*n**2 - 9*n + 27. Let i(u) = 2*u - 11. Let j(v) = 2*i(v) + l(v). Let y(g) = -34*g**3 - 3*g**2 + 3*g - 3. Give 3*j(b) + 5*y(b).\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6038 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1917439953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12212, 48945, 110166, 195875, 306072?\nAnswer: 440757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -0.3, -195, 2, 1, -0.4?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q + 22. Calculate the remainder when b(6) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7385017*i**2 - 94829217 wrt i.\nAnswer: -14770034*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - s**4 + 43*s**3 - 32*s**3 + 8*s**2 to the form z*s + q*s**2 + n + m*s**3 + r*s**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j - 192. Let r be (1022\/63 - 16)*(1 + -10) + 26. Calculate the greatest common factor of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 + 5*s - 4. Let n be l(7). Is 3 - 4 - (0 - n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59662 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a factor of 1878871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691816 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0. Let u = 44.7 - 43. Let p = 1.3 - u. Do v and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6473.7 and 0.1.\nAnswer: -6473.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d + 5. Let z(b) = 8*b + 5. Let l(h) = -6*a(h) + 5*z(h). Let p be l(-4). What are the prime factors of (-16)\/4 + 3 + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8\/14 + (-78)\/546.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 24, 39, 64, 105, 168?\n\"Answer: u**3 - 4*u**2 + 16*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 34. Let l = -11 - j. Suppose -l*h + 2*s + 15 = s, -3*s - 13 = -4*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5726\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1637\/12 - 431\/3. What is the common denominator of 2\/(-5) - (-436)\/(-40) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -19*o**2. Let v(p) = -10*p**2. Let d(m) = 4*b(m) - 7*v(m). Let l = -10 + 12. Let h(g) = 0*g**2 - 4*g**2 + 2*g**2 + g**l. Calculate d(h(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -5*u + f + 1678, 2*f = -5*u + 2080. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/5 + 69*v**4\/5 - 539*v**3\/5 - 201*v**2\/5 + 8712*v\/5 - 3024 = 0.\nAnswer: -4, 3, 7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4430557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7*j + 6. Let a(d) = d**2 + 2. Let x be (1\/(-1))\/((-11)\/(-22)). Let r be a(x). Determine t(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0162, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -371b - -9a?\nAnswer: -3651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1891 and 0.06.\nAnswer: -113.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppppppfpppppppffpp. What is prob of picking 2 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 13 - 7 - 4)*(-6670 + 6670 - 29*s**3).\nAnswer: -116*s**4 - 58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 116) + 171 - 55.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**5*h + 1889*a**5 + a**3*h + 46*a**2*h - 508*a*h wrt a.\nAnswer: 240*a**2*h + 113340*a**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/30 and -10\/9507?\nAnswer: 95070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, 24, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 6 + 9 + -20 + 31 + 56 + -1\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z - 12*z - 7*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7844851.\nAnswer: 7, 37, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*d**4*f + 3759*d**3*f**3 + 559*d**2*f**3 + d**2 + 1107*d*f**2 wrt d?\nAnswer: -1128*d*f + 22554*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000438469 rounded to 6 dps?\nAnswer: 0.000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -255. Let l = -5.4 - -5. Let w = 0.5 - -2.5. Which is the closest to o? (a) w (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.3 - 4.3. Let y = -5 + 7. Let a be 1\/(2 + -2*y). Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37383304\/125785 + 2\/125785. Let i = t - -297. What is the nearest to -2.3 in 0, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 9. Suppose -5*l + y + 2*y = 18, 0 = -2*l + 4*y - 10. Sort s, l, -2 in increasing order.\nAnswer: s, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 50096410.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08726 - -28915362649.\nAnswer: 28915362648.91274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*q + 2*q = 56*q - 4884. Calculate the smallest common multiple of q and 6016.\nAnswer: 18048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2702 divided by -2.\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -33, -4 in ascending order.\nAnswer: -33, -4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*y - 95 + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 2*x - 1. Let p(i) = -49*i**2 + 5*i + 11. Let v(g) = 3*o(g) - p(g). What is the second derivative of v(t) wrt t?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = 4*n - 186, 0 = g - 5. Suppose 5*q - 4*r = n, 0*q - 4*r = 2*q - 14. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*(9394\/(-231))\/(-122)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2613? (a) 424 (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 0 - -6) + 2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(280)*-3 - sqrt(280)) + sqrt(280) - 2*-2*sqrt(280))\/((sqrt(1920)*1)\/(sqrt(3) - 1*sqrt(3)*-1)).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57060983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 144*t + 1301. What are the prime factors of f(-103)?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*l - 102, l - 28 + 10 = -2*q. Sort 1, -4, l, 4.\nAnswer: -4, 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:07 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 164. What is the fourth smallest value in -1, -4, j, -2\/61?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 26*y - 561 = 0. Let z(d) = -22*d**2 - 2*d + 5. Let m be z(-3). Is m != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1820*g**2*p**2 + 7*g**2 - g*p - p + 715 wrt p.\nAnswer: 3640*g**2*p - g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447048?\nAnswer: 2, 3, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (419*a - 2227*a - 5631*a)*(-a**2 + 0*a**2 + 2*a**2).\nAnswer: -7439*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.781997 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:10 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -2\/25 (c) 1 (d) 13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 2.\nAnswer: 245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -68\/741, 0.12?\nAnswer: -68\/741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-50)*(1558 + -1553).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/15)\/(-8)*-1*(-21)\/77\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/10)\/1 - (-6)\/10. Let m(u) be the second derivative of 0 + n*u**4 + 1\/6*u**3 + 1\/10*u**5 + 0*u**2 + 5*u. Find the second derivative of m(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (8 - 5) - ((-8 - -32) + -14)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2418538616 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 5, s: 5, z: 3, c: 3, e: 1}. Give prob of picking 1 o and 1 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 16 + 8. Suppose -4*o = 5*h - 0 + 5, -32 = i*o - 4*h. Sort 2, o, -3, -4.\nAnswer: o, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 5*x - 2. Suppose 23 = -12*y - 25. Give j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 4. Let y(h) = -h - 1. Let o(x) = -f(x) + 2*y(x). Calculate the least common multiple of 34 and o(6).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*c + 3*c = 0, -5*v - 16 = c. Suppose -2*n = 4*a, 5*n = -a + 2*a + 11. Suppose -4*o = 3*j + n*j - 3, 0 = -4*o + 3*j + 11. Sort o, -1, v.\nAnswer: v, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z - 497. Let l be (-3 + -1)*3\/4. What is the remainder when (l\/2)\/3*-58 is divided by y(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(1131\/162 + -7). Find the first derivative of 13*k - 1634*k**3 - k**4 - w + 1634*k**3 wrt k.\nAnswer: -4*k**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -96, -129, -196, -309?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**2 + 0*c**2)*(-c - 3*c + c)*(-c - 17*c + 0*c).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 124.8. Let k = -0.7 + o. Let f = 6.2 - 1.2. What is the biggest value in 11, f, k?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 u when four letters picked without replacement from tttcuuuucuuu.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764 = -3*v + 1261. Suppose -4*w - 5*y + 663 = -2*y, -4*w = -y - v. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1043196.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 325*y**3 + 315*y**2 - 325*y - 320.\nAnswer: 5*(y - 1)*(y + 1)**2*(y + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**3 + 8*w + 2. Let r(t) = 18*t**3 - 7*t - 2. Calculate 3*p(l) + 2*r(l).\nAnswer: -9*l**3 + 10*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*s - 109 = 0, 0 = 4*h - 3*h + 2*s - 31. Let x be 6\/(h\/6 - 2). Solve k + 2 - x = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233970 + -78613793\/336. Find the common denominator of 13\/783 and q.\nAnswer: 87696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 34 = -6*n. Suppose n = -l - 14. Let s = -22 - l. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25311 and 2124177.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/2 - z**2\/2 - 8. Factor u(c).\nAnswer: c*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z + 120 = 2*n, 3*n + z = 185. Let o = n - 41. Suppose -15 = -2*h + 1. What is the smallest common multiple of o and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:28 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304794?\nAnswer: 2, 3, 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4689.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 250 + -427. Let a = i + 160.4. Let j = 16 + a. Which is greater: j or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*37698234\/63. Suppose -4*p - q - 822423 = 0. Round p to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -16*i - 67. What is the hundreds digit of y(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*i + 5*f, i - 1076*f + 7 = -1075*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + -212.523?\nAnswer: -212.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -178876232 divided by 5\nAnswer: -178876232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1\/(((-6)\/9)\/(-1)). What is the remainder when 20 is divided by 5 + -4*z\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from occowppu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71250 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/75, 0.1, 105, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**17))**2*(p*(p*p**(-3))\/p)**0 assuming p is positive.\nAnswer: p**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -25029942.\nAnswer: 1\/4171657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = q + 12, -136*u + 135*u - 18 = 5*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -20. Suppose -v + 3*q + 587 = x, q - 1771 = -0*v - 3*v. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2 - 201*i*v - 36*v - 3 wrt i?\nAnswer: 4*i - 201*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 67, 170, 277, 388, 503, 622?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7425792)\/105480*5\/(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4)\/408*(-20 - -22). What is the fourth biggest value in -0.3, y, 0.2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:39 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 6)*(3*j - 5*j + 5*j) - 4*j + 0*j + 3*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 1)*(u + 3*u - 2*u)*((-2*u - 4 + 4)*(0 + u + 0) + 451*u - 451*u - 99*u**2) to t*u + v + n*u**3 + b*u**2 and give n.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2302 <= 109.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 2*g + 3*g, 4*g = 5*l - 25. Let o be l - -2*(-2)\/4. Let x(j) = -j**3 + 3*j**2 + 4*j + 1. What is x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 15. Let u = 12 - z. Let t = -23 - u. Sort -4\/3, -1\/2, t in decreasing order.\nAnswer: -1\/2, -4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 5 + 8 - 2*d**4 + (d**3 - 7*d**3 + 3*d**3)*(-2*d + 3*d + 0*d).\nAnswer: -5*d**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (11 + -6) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(200))*-6 + sqrt(200) - (sqrt(200)*2 + 3)) + 1.\nAnswer: -5 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, g: 3}. What is prob of sequence gggs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6936*s**5*u + s**2*u**2 + 85*s*u**2 + 86*s - u**2 wrt s.\nAnswer: 138720*s**3*u + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32809 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 227375651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**26)\/c**(-18) assuming c is positive.\nAnswer: c**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -25.1. What is the third smallest value in r, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78860 + -10409573\/132. What is the common denominator of h and -7\/8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -5 (c) 1 (d) -0.4 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/7 - 312\/2184?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393428493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-4) - 3\/(-6). Let h be 6\/18*(-3)\/4. Let u = -0.01 + -2.99. Put w, u, h in increasing order.\nAnswer: w, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -281*h + 283*h + 5*w + 15, 2*w + 6 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5598 and 103038654.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjjjjjjjjjjbjjbjjjb. What is prob of picking 1 b and 1 j?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 5, f: 3, p: 1, g: 5, w: 5}.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2 - -33) - -29.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d8 - 2?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -12061\/26?\nAnswer: -12061\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331 times 0.2?\nAnswer: -466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*s - 476, 9*s = 6*s - 12. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 84.9294 microseconds?\nAnswer: 0.00000141549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 98, -13.1 in descending order.\nAnswer: 98, 1\/9, -13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56.1 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 2015?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 59.5. Let q = 7 - 2. Which is the third biggest value? (a) 0.3 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4706 times -43336?\nAnswer: -20393.9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = 2*x, 2 = -2*i - 3*x - 1. Solve -y = -v, i*v - 5*y = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q + 18. What is o(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168844.\nAnswer: 2, 13, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/22 (b) 4 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3 - 83400*j**2 - 1739557008*j - 27811565824 = 0. What is j?\nAnswer: -41692, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 5. Suppose y - 14 = m, 3*y - 3*m = y + 33. Let g(t) = -8*t + 21. Determine y*a(z) + 2*g(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = k + 5891 - 5826, -2*n = -4*k + 4 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -282, -538, -776, -1002, -1222, -1442, -1668?\n\"Answer: -k**3 + 15*k**2 - 294*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**5\/120 - q**2 - 1. Let d(j) be the second derivative of n(j). Suppose d(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*p + 44056, -38*p = -40*p + 5*r + 17635. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**7\/30 - 17*d**4\/24 + 9*d**2. What is the second derivative of v(p) wrt p?\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 53 = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010 (base 2) in base 9?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-466)\/(-14) - 2\/7. Let h = -29 + 23. Let g = -4 - h. Solve a - 2*n = 9, -g*a + b = -5*n + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-77))\/(21\/98)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35400 * 1825.9.\nAnswer: 64636860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -11*a + 6*a. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/3292201?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 4*v + 9. Let w be b(-6). Put w, -4, -17, 5 in descending order.\nAnswer: 5, w, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*u - 136, 2*u + 136 = 4*y - 2*y. Let a(l) = l**3 - 4*l**2 - 12*l + 7. Calculate the remainder when (-8)\/(-68) + (-808)\/u is divided by a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -17*z**4\/12 + 3*z**3\/2 + z**2\/2 + 13*z. Suppose -3*q = -5*q - 4. Let o(u) = -4*u**2 + 2*u. What is q*g(i) + 9*o(i)?\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41447700 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 6390490*g + 2041918122005.\nAnswer: 5*(g - 639049)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26978.0000012439 - 26978. What is u rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -60. Let q(h) be the first derivative of 1\/2*h**2 + 0*h**3 - 2 - 3\/4*h**p + 0*h. Find the second derivative of q(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 0*w + 0*w + (-2*w + 4 - 4)*(-2 - 3 + 3) - 4 + w + 2 + 0*w.\nAnswer: 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/140 + (-1)\/(-2)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15813 and 16928695?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from nmnnnmmmnnvnvnm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -4 (b) 10 (c) 0 (d) 8 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ce6 - 3?\nAnswer: -2ce9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let o(j) = 7*j**2 + 98*j + 2. Let v be o(-14). Suppose -13 = -2*t - u, -4*u - 10 - 3 = -5*t. Solve -v*g - l*h = -6, -2*h = t*g - 5*h - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d**2 + 2. What is the lowest common multiple of k(-7) and 0 - -6*(-1 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 16 + 6. Suppose -2*t - 2*b - 2 + 6 = 0, 0 = -3*t - 5*b + q. Suppose t = -2*l + 5*h + 1, -3*l + 2*h = -l - 10. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220160778?\nAnswer: 2, 610080389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 + -2 - 2) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -109, 126, 517, 1064?\n\"Answer: 78*l**2 + l - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(187) + 2*sqrt(187)) + sqrt(187) + -2*sqrt(187)*2)\/(sqrt(99) - (-4*sqrt(99)*-6 + sqrt(99)) - sqrt(99) - sqrt(99)))**2.\nAnswer: 153\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-20)\/8)*(-4 + 2). Suppose 0 = t + a*u - 4 - 9, -4*t - 3*u = -34. Let b be (-3)\/t*(-4)\/(-6). Is b < -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + 12?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -1\/3*n**3 + 0*n**2 - 1 + 0*n. Let p(a) = -a. Give p(o(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4506.317 litres in millilitres?\nAnswer: 4506317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 14. Let l be z(10). Suppose -5*r = -l + 1. Suppose 4*n = -5*q + 173, -5*q - 39 = -r*n - 233. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79896575*h - 105759179?\nAnswer: 79896575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*b + 34 = -6, 30 = 3*i + 4*b. Let u = i - 6. Suppose 50 = 2*s - 4*m, 1 = s + u*m - 6. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/(-30))\/(2\/5) - -119. Let n = j - 120. Solve -4*f + n*c - 2 + 0 = 0, 5*f - 2*c = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and -89.309.\nAnswer: 3929.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -57.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 6*s)*(-1 + 5 - 1)*(-4 + 0 + 2).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 10*m + 16. Let u be y(8). Let l = u + 424. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - 4*n - 1. Let b be g(3). Let x be (-10 + 12)\/((-1)\/(2\/(-1))). Let y be (1 + (-1 - 0))\/2. Sort x, y, b in decreasing order.\nAnswer: b, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 503139432*y - 494535091?\nAnswer: 503139432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*o - 175*o - 7500 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30594727 to the nearest ten thousand.\nAnswer: 30590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -23. Let g be (-7 + -2)\/c - -85. Suppose 2*p - 22 = 4*u + 148, g = p - u. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/8*(-6)\/(-5). Let q(o) = 2*o**3 - 2*o**2 - 16*o**3 - 3*o + a*o + 1. What are the prime factors of q(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/(-51))\/((2\/68)\/(122\/488))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 2*c + c**2 + c + 0*c + 21. Let x be y(-9). What is the second derivative of -x*r - 26*r**4 + 141*r - 67*r wrt r?\nAnswer: -312*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/51))\/(i**(1\/4)*i))**(-2\/5) assuming i is positive.\nAnswer: i**(59\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22963908739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2820\/(-1470)*7 - (-3 - 11)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*j = 17, 2*j = 2*y - 19 - 9. Suppose -y*d + 1882 = -4575. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442 or 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7930 - 3770 = 0. Let j = a + 42931\/11. Find the common denominator of (-7)\/((-21)\/2) - -1 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*h**3 + 48*h**3 + h**2 - 7*h**3 - 2*h**3 - 3*h**3 + 4*h**3 + (-2*h**2 - h**2 + 4*h**2)*(3*h + 0*h - 4*h) to r*h**2 + n*h**3 + x*h + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1828, -2559, -1264, 3071, 11460, 24917, 44456?\nAnswer: 71091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 18 + 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)*i*i)**(-34)*(i\/i**(-8\/9))\/(i\/(i**8\/i)*i) assuming i is positive.\nAnswer: i**(674\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603872276.\nAnswer: 2, 7, 3080981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 25 = -4*a - 20*c, -3*c - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 c when four letters picked without replacement from scscckcssscckkkkscsc.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by 1.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -4, 2\/239, -2, -1.\nAnswer: -109, -4, -2, -1, 2\/239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -805, -3165, -6935, -11977, -18153, -25325?\nAnswer: -33355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 3*q**4 - 2*q**4 + ((1 - 4 + 1)*(2*q - 2 + 2) + 3 + q - 3)*(q**3 - 2*q**2 + 2*q**2).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -11 - (-2 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -278 - -15.6\nAnswer: -262.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610083 is divided by 80504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*l - 64*l - 151*l.\nAnswer: -636*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -164, -110, -36, 64, 196, 366, 580?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.146044 years to months.\nAnswer: 97.752528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9426309km?\nAnswer: 94263.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1573) + 5)*-1)**2.\nAnswer: 110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132*n + n + 256*n - 1409*n.\nAnswer: -2284*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 - 260*m**3 - 8837*m**2 - 8062*m + 17160 = 0.\nAnswer: -220, -39, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22250 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u)**(-18\/13)\/(u\/((u\/(u*u\/u**0)*u)\/u))**(2\/21) assuming u is positive.\nAnswer: u**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120836 divided by -1.\nAnswer: 120836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -639\/7, -583\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 38. Let s be (i\/8)\/(126\/(-24)). Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 62522547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5358, -21395, -48116, -85521, -133610?\n\"Answer: -5342*z**2 - 11*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/((-75)\/(-40)) - 5. Suppose u = -2*z + 13, -4*u - 29 = -9*u - z. Differentiate -11 + u + 3*d + l*d + 8 with respect to d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171102197?\nAnswer: 7, 24443171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181396552?\nAnswer: 2, 7, 21096367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**2 - 5*x - 2. Let u(r) = -9*r**2 - 5*r - 2. Suppose 28*a + 143 - 17 = -14. Determine a*m(z) + 6*u(z).\nAnswer: -4*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**2 + 2*w**2 - 6*w**2)*(3*w - 3*w - 2*w)*(0*w + 8*w + 7*w) + 0 + 0 + w**4 to the form o*w**4 + b*w**3 + j*w + c*w**2 + i and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.072504 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12222 divided by 679?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3352021 * -60\nAnswer: -201121260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b + 21. Let k(z) = -z + 8. Let c(g) = 4*k(g) - v(g). Let o = -9 + 1. What is c(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:18 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4523 + -3343334?\nAnswer: -3334411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - c = -2*m + 5*m + 8, 0 = 4*m + 2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/42)\/w)\/w)\/((w\/(w\/(w**17\/w)))\/w) assuming w is positive.\nAnswer: w**(-715\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219*n**3 - 470*n**3 + 180*n**3)*(10*n + 5*n - n).\nAnswer: -994*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 13*h**2 + 3*h - 296. Let m be v(7). Suppose 0 = -3*f + f + 8. Solve -5*a + m - f = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1006, -1021, -1036, -1051, -1066, -1081?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*-2*(sqrt(6) - sqrt(12)\/sqrt(2) - sqrt(6))\/sqrt(3) - (sqrt(2) + 0 + 4 + -2*sqrt(18) + 5)**2).\nAnswer: -136 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 548d?\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*j, 5*j - 3 = 4*o - 2*o. Let g be (-2)\/6 - 6\/9. Put 4, g, o in descending order.\nAnswer: 4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 2*u**3 + u**2 + 0 - 1\/24*u**4 + 0*u. Let l be r(9). Solve 4*y - l + 5 = 2*x, -4*y + x = 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*u + 4*g, 1394*g + 12 = 1398*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 20*m**2 - 13 - 8*m - m. Let a(n) = -7*n**2 - 4*n - 6. Calculate -13*a(c) + 6*x(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2520550 and 1008220.\nAnswer: 5041100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 388, 803, 1214, 1591, 1904, 2123, 2218, 2159?\n\"Answer: -5*r**3 + 28*r**2 + 366*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48356\/6329 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/6 + 61*y + 1. Let g(z) = 13*z + 12. What is g(o(x))?\nAnswer: -13*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.708, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 33.05. Let d = m - 0.05. Let p = d + -4. Which is greater: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1494143, -2988282, -4482423, -5976566, -7470711, -8964858?\n\"Answer: -v**2 - 1494136*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34dba0 (base 14) in base 6?\nAnswer: -102404544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(48) + sqrt(3)) + sqrt(19) + sqrt(19) - (sqrt(76) + -2))**2.\nAnswer: 4*sqrt(19)\/5 + 119\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 3 + 3 + 2. What is the nearest to y in 2, 5, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5\/17 - 862*t**4\/17 - 15086*t**3\/17 - 90538*t**2\/17 - 208544*t\/17 - 161896\/17 = 0.\nAnswer: -413, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let b(w) = 11612 - 103*w - 11612. Calculate b(s(q)).\nAnswer: -103*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78.3 - -79.3. Let i be 5\/40 + (2 - 15\/(-8)). What is the nearest to x in -5, 5\/4, i?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (30 + -32 + (0 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/51 and 133\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-6)\/s)\/s*s**(-5\/3))\/(s**(2\/3))**6 assuming s is positive.\nAnswer: s**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 6604589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 519, 556, 629, 750, 931, 1184?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzezsszs. What is prob of picking 2 s and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -99.122 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in 1\/3, 13, 2\/17, -1, 0.0013, 4?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001741848 rounded to five dps?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 8*z**2 + 7*z + 7. Let t(i) = i**3 + 8*i**2 - 7. Suppose -2*f = -3*f - 8. Let m be t(f). Is l(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*b**4 + 6*b**4 - 19*b**4 + 3*b**2 - b + 6*b**4 + b**3 + 0*b**4 in the form i + p*b**4 + z*b + n*b**3 + w*b**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2 + 1. Calculate the remainder when 3\/(1\/((-2)\/(-3))) is divided by s\/((-5)\/((-10)\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + 4321423?\nAnswer: 4321210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/7))\/(k\/k**(-6)))**(-36)\/(k*k*k**(-6)\/k*k*k*k**(-6))**(-4\/19) assuming k is positive.\nAnswer: k**(26424\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*t + 22 - 19, -z = -t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -623?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 8*y + 14. Let j be n(-9). Solve -3*l + 1 = w - 5, 5*w = -j*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**3 + 0*t**3 - 70*t**3.\nAnswer: -108*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67947 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/(4\/8). Let u = i - -4. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + r + b - 1, b - 19 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.92 rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7e0 + cc?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*a**4 - 76*a**4 - 104*a**4 + (0*a - 3*a + 4*a)*(-3*a**3 - a**3 + 2*a**3) + a - a + a**4 to i*a**2 + r*a**4 + s*a**3 + k + n*a and give r.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 294 - 274. Suppose g - v = -5*q + 26, -g + 66 = q. Calculate the highest common factor of g and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = h - 84. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/15) - (-1863)\/782.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -272c4 (base 14) to base 11\nAnswer: -66642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 + 77.53. Let r = -0.03 + b. What is the biggest value in r, -1, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-64)\/20)\/2*12\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/6)\/(2\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19*t**2 + 424*t - 29. What is the remainder when 1721 is divided by y(22)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20174 rounded to the nearest 100?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19887 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: Suppose -3*b + 4*o + 25 = 3*o, -b + o = -11. Suppose r = -3*r - 16. Let u = r - -5. Calculate the highest common divisor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.3, -0.06, -2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 3 - 4*y**2 + 2.\nAnswer: -4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.6, -1, -3\/5, 53, 24 in decreasing order.\nAnswer: 53, 24, 0.6, -0.3, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -714 + 718. Suppose 0 = 2*f + 7*l - 3*l - 2148, t*f - l = 4314. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175965174 and 2156?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1\/(-4))*-4. Suppose -3*r + 4 = -2*c + 25, z*c + 10 = -5*r. Suppose x = -3*x + c*i + 315, -x = -i - 79. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*w + 7 = 3*w, 0 = 2*b + 4*w - 10. Let n(u) = u**2 + 5*u + 3. Calculate the least common multiple of n(-6) and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489.5 - 489. What is the third biggest value in -0.7, 2\/57, n?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 413736 and 34104.\nAnswer: 587918856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/8)\/o)*o*o**(-10\/9))\/(o**(-2))**40 assuming o is positive.\nAnswer: o**(5905\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*s - 161, 10245*s = 10240*s - 205 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11)*1 + sqrt(11) + -5 - sqrt(1331)*-3 - (sqrt(11) + 3 + (sqrt(176) - sqrt(11)) - (sqrt(11) - (-1 + sqrt(11)))*1)*2)**2.\nAnswer: -504*sqrt(11) + 8705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*f = -6, 2 = f - 2*f. Suppose 18*t = 28 + 94 - 32. Suppose -p - t*x = -5, 5*p + 2*x = -n - 21. Sort 2, p, 5 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599407733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 n when three letters picked without replacement from {n: 1, r: 6, u: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8771914721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3456\/1440*(-1)\/(3\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*(4 + 17\/(-4)). Suppose 4*n - j*a - 22 = 0, 4*a + 2 + 2 = -n. Let x(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 4*g + 1. Determine x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 112221110?\nAnswer: 112221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 + 2 = 0. Let k(x) = -5*x**2 + 1. Determine k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 22*v + 17. Let f be b(6). What is the greatest common divisor of f and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5009 - 1483 = -4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316 and 21\/12*(-96)\/(-12).\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 69*q + 122 = -115. Sort 3\/5, -2, -2.4, 0, q in decreasing order.\nAnswer: 3\/5, 0, -2, -2.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**4 + 0*i**2 + 10*i**4 + 22 - 2*i**4 - 2*i**2 to the form w*i**3 + n*i**2 + s + q*i + h*i**4 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6219 bigger than -6220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43563587 and 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490379017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230012652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -3, 2 in descending order.\nAnswer: 7, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1793073.7 + 741302\nAnswer: -1051771.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 13*b + 3*b**4 - 12*b - 3*b in the form u*b**4 + m*b + a + y*b**3 + c*b**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16380 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/120 + j**4\/3 + 7*j**3\/3 - 318*j**2. Factor c(l).\nAnswer: (l + 2)*(l + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -72 + (3 - (-21 + 20 - 9))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 20. Suppose -k + o = 3*f + 1, 3*k - 2*f - 6 = 0. Solve 0 = -2*b - k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154554 is divided by 258.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m**2 + 16*m**2 + 13*m**2)*(10 - 10 - 4*m)*(-5 + 3 + 3).\nAnswer: -72*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:19 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.751237km in nanometers?\nAnswer: 751237000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 1. Let m(r) = 6*r - 8 - 13*r + 2*r + 2*r**2 + 10*r. What is -m(v) - 6*u(v)?\nAnswer: -2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r + 18. Let x be z(-3). Factor -36*j**3 - 50*j**2 - 37*j - 52*j + 3*j**4 - x - 76*j**2 - 43*j.\nAnswer: 3*(j - 15)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20b2 (base 16) to base 12\nAnswer: -4a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179010, -179017, -179024?\nAnswer: -179031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:38 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:16 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657171?\nAnswer: 3, 73019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-120) - (-1)\/(-6). Let x(j) be the third derivative of -1\/12*j**4 + g*j**5 + j**2 - 1\/6*j**3 + 0 + 0*j. Give x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 8.4\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58377300*s**3 + 7158*s**2 + 7*s + 363.\nAnswer: 350263800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.314634236 rounded to three dps?\nAnswer: -1.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55 take away 17292.2737831?\nAnswer: -17291.7237831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 105272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66886902 or 66886903?\nAnswer: 66886902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -172, 9\/7, 2\/3 in increasing order.\nAnswer: -172, 2\/3, 9\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 84. Let h be b(3). Calculate the remainder when 283 is divided by h\/4 - 2\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-18)*t**(1\/22)*(t*t**13)**(-6) assuming t is positive.\nAnswer: t**(-1429\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 2*u + 6. Let c be x(-4). What is the greatest common divisor of 126 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88\/105 + -4\/15. Sort -1\/3, -4, 1, m in decreasing order.\nAnswer: 1, m, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 + (-80)\/50)*25\/(-4) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (25 + -3 - 23)) + 2 + 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - (sqrt(102) + 3*-4*sqrt(102))) - (sqrt(102) + 4*sqrt(102))*2)\/((sqrt(30)\/sqrt(20) - sqrt(6)) + sqrt(36)\/(sqrt(24)\/sqrt(4))).\nAnswer: -42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 12 = 19*k. Let w(v) = v**3 + 6*v**2 - 2*v + 6. Calculate the smallest common multiple of w(-6) and k - 1\/(2\/(-20)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.23 + -0.23. Let z = 0 + 0.2. Sort z, g, 3\/5 in descending order.\nAnswer: g, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*n**6 + 119*n**5 - 4*n**3 + 467*n**2 - 30*n.\nAnswer: -3120*n**3 + 7140*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, -70, -204, -402, -670, -1014, -1440?\n\"Answer: -s**3 - 23*s**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 58*j - 476. Calculate the remainder when 518 is divided by t(66).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 24 = m + 2*m, 4*k = 4*m. Suppose -5*q - 5*i = -5, k*q - 5*i - 23 = -3*i. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 - m + 1. Let z(n) be the first derivative of -2*n**4 + n**3 - 3*n**2\/2 + 3*n - 24. Calculate -6*q(l) + 2*z(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 351398000 rounded to the nearest 1000000?\nAnswer: 351000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(3\/4)*u*u)*u**11*u*u\/(u\/u**(-8))*u*u**(-2) assuming u is positive.\nAnswer: u**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5448, -5650, -5852?\nAnswer: -6054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-1 - 4 - -9). Let b(q) = 1207*q + q**3 - 1216*q - m + 5*q**2 + 3*q**2. Let p be 0 + (-9)\/((-3)\/(-3)). Calculate b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4 - 12*i + 8*i**3 - 2*i**3 - 29268*i**2 - 12 + 29277*i**2 = 0 for i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3550592 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7312, 6 in decreasing order.\nAnswer: 7312, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 23 - 60 + 429 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/114)\/(1\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-25)\/(-45))\/((-2)\/6))\/(5\/(-15)). Solve 22 = -4*b + u, 2*u + 2 = -o*b - 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5386 is divided by 91?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r + d + 120 = 0, -5*r = -2*d + 135. Are r and -25 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let n = 24.4 + -24. Which is the nearest to 2\/3? (a) i (b) n (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 13 - 3 + 14*t - 21*t**2 + 18*t**2. Give z(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022*w**2 - 80 + 80.\nAnswer: -1022*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-4 + -29)*11. List the prime factors of (1 + u\/(-22))\/(2\/8).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = -64. Suppose -x = 5*m + 4. Suppose -141 + 153 = -6*i. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29370964?\nAnswer: 2, 7, 1048963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 62. Solve 3*i = -q, -3*m - i - 6 = 4*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1996243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286637.\nAnswer: 3, 11, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 28. Let r = j - -15. Suppose -r - 4 = -4*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 12*j**2 - j + 15. Let r be l(12). Suppose -28 - 26 = -4*c - 5*x, r*x = -6. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 + 4689651*r**2\/5 - 366545701464*r - 1099645545780.\nAnswer: -3*(r - 781610)**2*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 18 = u + 4*b, -16 = 3*u - 5*b. Let l be ((-8)\/(-4))\/(((-8)\/12)\/(-1)). Sort u, l, -1, -5 in descending order.\nAnswer: l, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 - 14\/(-21)*(-18)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 4 + sqrt(3) + (sqrt(3) - sqrt(15)\/sqrt(5))*-2 + (sqrt(1296) + sqrt(1296)*1)\/(-2*sqrt(192))).\nAnswer: -3*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 + 2*y**2 - 15 + 33 - 20 to the form o*y + j + b*y**3 + c*y**4 + z*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 3, w: 1, d: 1, y: 2, c: 6}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -79820?\nAnswer: -79820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.379 - 0.378658. What is p rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - u + 1)*(0*u + u + 0*u) + 106*u - 38*u - 66*u - 20*u**2 to the form a*u + r*u**2 + b and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 17. Give u(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.058 * -0.5\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21)\/d**(2\/23) assuming d is positive.\nAnswer: d**(-485\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -39762*w**4\/19 - 4859988*w**3\/19 - 162369626*w**2\/19 - 847292376*w\/19 - 1208549448\/19 = 0.\nAnswer: -8194\/141, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.6 - 12.4. Let n = a + 53. Which is smaller: n or 37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146 - 18*g + 146 as f*g + m and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-39) + 0 - 118\/177.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 - -115.7. Let d = o - 117.727. What is d rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12*b**3 - 57*b**2 - 55*b - 17. Let k(c) = 6*c**3 - 28*c**2 - 27*c - 8. Let i(q) = -6*d(q) + 14*k(q). Factor i(u).\nAnswer: 2*(u - 5)*(2*u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/852291 and -1\/87.\nAnswer: 24716439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 10 = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 110*g**2 - 24*g - 136. Does 20 divide x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from joottzaooa?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*q + 196, 2*b - 3*b = -2. Let f = q + 121. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, 3245, 13161, 33031, 66173, 115905?\n\"Answer: 553*j**3 - 591*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(a - a + a**4) + (3*a**2 - 3*a**2 + a**3)*(-21*a + 353 - 353) - 2*a**4 + 4*a**4 + 9*a**4.\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - z**3 + 3*z**3)*(0 + 1 - 2)*(-9 + 0 - 6).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t - 72. Let g be c(11). Suppose 4*m + 2*v = -6411998, 3*m - g*v + 3*v = -4809002. What is m rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + 543 - (-4)\/(-1). Suppose -5*h + 3*p = -g - 254, p = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9272, 9361, 9472, 9617, 9808, 10057, 10376?\nAnswer: 10777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5480 - 5478. What is the third smallest value in 0.125, -0.3, f, -0.7?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/(6\/15*3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**2 + c - 1. Let r be g(1). Suppose -4*u + n + 3*n = -16, -5*u + r = 4*n. Solve -v + u = 3*w, 0*w - 3*w + 3 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 15, m: 4}. Give prob of sequence bm.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 0*i + i**3 - i - 10*i**3 - 3 + 10*i**3 to r*i + v*i**2 + g*i**3 + t + h*i**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -2 + (0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000303 - 20101?\nAnswer: 320202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5))*5)**2 - (2 + (sqrt(5) - -2*sqrt(5)) + sqrt(5))**2.\nAnswer: 66 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*z = 5525 + 82 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 36. Factor 8\/5*w + 0 + 8\/5*w**2 + 2\/5*w**s.\nAnswer: 2*w*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 96 = -0*z. Calculate the lowest common multiple of z and (15\/6)\/(-1) - (57155\/70)\/(-71).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 161 = 152. Let l(c) = -c. Let f(x) = 5*x + 1. Determine n*l(s) + f(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*x, 0 = 5*a - 2*x + 201 - 204 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000540811 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44725357.877 + -44707337. Let d = 18035 - u. Let t = -0.177 - d. What is t rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -6\/25 (b) -2\/15 (c) 1 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 124544.896 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-1)\/(2\/10). Solve -3*s + r = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - -2 - 616\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35600 and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k - 3. Suppose 0 = -2*f - 6*o + 2*o + 134, -2*o + 213 = k*f. Suppose 0*j + f = j. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Suppose -5*n = -10*n - 20. Let q(t) = -15*t - 18. Let z(v) = -7*v - 8. Let u(k) = n*q(k) + 9*z(k). What is c(u(a))?\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - 13. Let y = q + 36. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*v = 0, 2*h + 22 - 1 = -5*v. Factor -1\/4 - 1\/4*q + 1\/4*q**h + 1\/4*q**3.\nAnswer: (q - 1)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**5\/9 + 16*n**4\/9 - 104*n**3\/9 + 176*n**2\/9 - 124*n\/9 + 32\/9 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.3 + 7. Let m = 6 + -14. Let j = 32 - 32.1. Which is the nearest to j? (a) m (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -70*x**2 - 92*x + 282. Give b(3).\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - 26. Let l = j - -28. Let p = -21.04 - l. What is p rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 13. Suppose o = -0*q - q + 42. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4. Suppose o - 4*l - 26 = 0, -7 = 91*l - 90*l. What is the third biggest value in o, 8, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8891472127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3439\/161 - -488\/23. Sort 1, s, -28 in decreasing order.\nAnswer: 1, s, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 + q**3\/6 - 7*q**2. Let t be a(-3). Let x = -4 + 1. What is the third biggest value in x, 4, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}