diff --git "a/data/dm_maths/full_data_2/10674_11255.jsonl" "b/data/dm_maths/full_data_2/10674_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10674_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let -4*h**2 - 2045028*h + 34766632 = 0. What is h?\nAnswer: -511274, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46218485 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8 + 8 + 0 + m**2. Let u(q) = -2*q**2 + 5*q - 5. Let h(v) = -v**2 + 2*v - 2. Let l(w) = -5*h(w) + 2*u(w). Give r(l(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d - 4*q + 41 = 66*d, -5*q + 53 = 4*d. Solve -8 - 13 = d*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2245 - -40?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 213*f**2 - 2 + 0 + f + 1. Let z = -87 - -88. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:56 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*p - 2*p - 4, 4*p - 8 = 3*j. Let g = -26656\/5 - -5333. Is p not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.20366 and 3?\nAnswer: 0.61098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 12467*d - 1322235. Give l(-111).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 3691287.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111203 + 1?\nAnswer: 111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2. Let v be r(-4). Let o be (6\/v)\/(2\/(-24)). Suppose -m + 20 = w - 6, 4*m - o = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025.5 less than 0.1?\nAnswer: -1025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 27*y**2 + 35*y - 2. Let o be ((-27)\/21 - -1) + 764\/28. Is v(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, w: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -576? (a) 0.2 (b) -3\/8 (c) -419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -269, -1, 1034?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11903 + -11903.000039195. What is k rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 26, -8, -66, -154?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 726 + -725. Does 7 divide ((-34)\/(-102))\/(c\/579)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 6*m. Let b be a(-4). Suppose 3*g = -4*p + 16, -2*p - 2*g = 3*g - b. Suppose 0 = 2*o - p*u - 8, -4*u + 11 = 2*o - 5*u. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k + 2*h = 6, -3*k = h - 7. Suppose 4*d + 0 = 4*u + 20, k*u - d = -6. Let c be 3 - 3\/(30\/26). Is c at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 28. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137612 divided by 2.\nAnswer: 68806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31304920 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 2 + 1 + 0.\nAnswer: -6*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {l: 1, y: 1, q: 4, s: 1, a: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 1\/24*r**4 + 0 + 1\/10*r**5 + 1\/3*r**3 + 1\/120*r**6 + 7*r**2. Determine k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/5950)\/(4 - (-30)\/(-7))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 - 21*f + 7 + 124 + 87*f - 92*f in the form s*f + x and give x.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1)*(-4 - 5 + 1)*(-j - 5*j - 4*j) + (2*j + 1 - 1)*(2 - 1 - 3))*(3 - 6 - 6).\nAnswer: -1404*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 221908 and 3826.\nAnswer: 221908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 4. Give s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3744) - sqrt(3744)*-4) + sqrt(26) - sqrt(3744)*-1)\/((sqrt(24) + sqrt(24) + 6*-1*sqrt(24))\/(-1*sqrt(12)*5 + sqrt(12))).\nAnswer: 73*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((3\/9)\/(1\/(-9)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:52 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288921208 and 36115151?\nAnswer: 288921208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*q**3 + 24*q - 26*q - 29*q**3.\nAnswer: 2*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + 329\/(-14). Let b = -29 - l. Let d(x) = x**2 - 7*x - 2. Let h be d(6). Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 13*n + 2*c - 60, -3*n - 5*c + 29 = -20 + 61 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m + 84. Let c be o(-8). Let b(p) = -p**3 + 11*p**2 + 16*p + 7. What is b(c)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.1.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.1. Let f = 1.38 - -1.5. Let x = f + 0.12. Which is the smallest value? (a) x (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -67*s**3 - s**2 - 159*s - 493. List the prime factors of l(-3).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 2*l**2 - 13*l - 6. Give p(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2)))**(-29\/4)\/(c*c**(1\/2))**(-8\/5) assuming c is positive.\nAnswer: c**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = 6. Which is the closest to -1\/4? (a) -2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 4*d + (d - 2*d + 3*d)*(2 - 1 + 1))*(-2 - 4 + 4).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = 31*w + 3. Let x(z) = 3263*z**2 + 3*z - 1. Is x(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 3*p**2 - 5*p**2)*(-p - 2*p + 5*p) + 2*p**3 - 2*p**3 - p**3 in the form v + x*p + f*p**3 + w*p**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -19. Suppose o = 84*w - 91*w. Solve -5*m - 9 - 11 = w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7624939, 15249885, 22874831?\nAnswer: 30499777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -57. Let c(p) = -p**2 - 3*p + 2. What is c(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*u + 30, 3*u - 3 = 6. Let k be -3*(-5)\/((-45)\/q) + -58. Let c = k + 227. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*h + 26*h + 27*h + 22*h + 22*h + 30*h + 184*h**2.\nAnswer: 184*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 437400\/6 - (1 + -1). What is i rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3985)\/20 + 5\/4. Is 50 a factor of (-3)\/(-1)*11\/(p\/(-1200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/9*((-87)\/21 + 5). Which is greater: t or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 8*g - 7*g**2)*(-4 + 4 + 2*g).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756 = -117*c + 1233 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s = -4*y + 8, 2*y - 4 = -3*s. Suppose x - 4*x + 126 = s. What is the highest common factor of 84 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81d + 2dc7?\nAnswer: 25a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:12 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5978114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1197 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/74376 and 115\/54?\nAnswer: 223128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 86 = -4*v, 0 = 5*w + 3*v - 58. Suppose -5*c + 26 = t, -7*c - 4*t + w = -2*c. Calculate the greatest common divisor of 24 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**8\/560 + x**7\/140 - x**6\/120 - 7*x**3\/6 - 2*x. Let h(w) be the second derivative of f(w). Factor h(l).\nAnswer: -3*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414*a - 186810 + 212262 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + s - 5*s - 4 = 0, -2*p = -s - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2131311 tonnes?\nAnswer: 213131100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 4}. What is prob of picking 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/(-6)) - (138 + -132). Let f = -11.7 + -3.3. Let m = -16 - f. What is the closest to m in q, -1\/3, 24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -284. What is the remainder when g is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p + 496. What is the units digit of s(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)\/u**(-2\/3))\/((u*u**13*u)\/(u\/((u\/(u*u*(u**(-11)\/u)\/u*u))\/u))) assuming u is positive.\nAnswer: u**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 419 + -74. Suppose i + 4*i = -2*m + r, -4*i - 2*m + 278 = 0. Calculate the remainder when i is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 929217\/56 - 112800\/7. Let c = n + -477. Which is bigger: c or 4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -288\/7 - -1312\/21. Let g = 20 - o. Is -2 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 247*v + 17*v**2 - 535*v + 272*v - 1 in the form c*v + b + m*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + g**3)*(-2 - 1 - 2 - 2).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - 0.75. Let t = -7 - -6.85. Let w = t - -0.2. Sort w, u, -3.\nAnswer: -3, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212332 + -2?\nAnswer: 212330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*z**4 - 31572*z**3 + 2*z - 3143452 wrt z.\nAnswer: 36*z**3 - 94716*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 61. Which is the nearest to 2? (a) x (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 12. Let k be z(2). Factor -24*u + 10*u**k + 3 + 5 - 4 + 4.\nAnswer: 2*(u - 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 + 7*p - 12. What is o(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**5 - a**4 - a**3 - 5*a. Let u(f) = f**5 - f**4 + 24*f**3 + 10*f**2 - 55*f - 15. Let v(g) = u(g) - 6*y(g). Factor v(c).\nAnswer: -5*(c - 3)*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4371408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*m - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, c: 3, y: 5, w: 3, z: 1}. Give prob of picking 1 k, 1 y, and 1 w.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139874985*y**3 - 259253996*y**2 wrt y.\nAnswer: 839249910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-3 + (-14 - -1)). Suppose -9 = -2*t + i. What is the least common multiple of 10 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/239 (b) 2\/49 (c) 314 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039879573 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -549 - -2875. Suppose 4*x + u = k, x + 2*u + 1739 = 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o**(-1\/15)*o)\/(o*o**16*o**16))**(-2\/47) assuming o is positive.\nAnswer: o**(812\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.6243385 from 1.\nAnswer: 30.6243385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -675530 + -1363?\nAnswer: -677113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from {h: 5, c: 3, t: 5, o: 3, w: 2}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 295 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2057) + 1*sqrt(2057) - sqrt(17)) + sqrt(119)\/(-1*sqrt(1008)).\nAnswer: 5 + 251*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -5*i - 8*u + 5*u, -5*i = -3*u - 278. Let a = -51 + i. Let y = 64 - 51. Solve 4*n - a = y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2. Let k(j) be the third derivative of -j**4\/12 + 34*j**2. Determine p(k(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/(-290))\/(2*1)*21\/28*4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 (base 9) in base 2?\nAnswer: 1100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 1, i: 2, y: 1}. Give prob of picking 1 k and 1 o.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14718422 and 2.\nAnswer: -29436844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 + 2*s**4 - 4*s**4 + (-292 + 1045 + 105*s - 103*s + s**2)*(0*s - 4*s**2 + 0*s) as k + y*s**3 + v*s + n*s**2 + g*s**4 and give n.\nAnswer: -3012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/7)*y**(-28) assuming y is positive.\nAnswer: y**(-195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 27010*w**2 - 4 + 3*w + 13615*w**2 - 2*w. Let p be j(4). Suppose 2*u = u, -t + p = u. Round t to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632803.\nAnswer: 31, 137, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-684))\/(450\/(-810))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)*m*m\/(m\/m**(-2\/19)))\/(m\/(m*m**(-2\/7)))**(-1\/68) assuming m is positive.\nAnswer: m**(-63765\/4522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24111243 is divided by 438386.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4045676.9 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 0.1, -21, 2, -0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1491948 by -4.\nAnswer: -372987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12526 = 5*d, -2 = -k - 5. Let b = -1575 - d. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmm when three letters picked without replacement from gnnmggxxmng?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11522 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 124*k**2 + 179*k**2 + k**3 - 39 - 68*k**2. Give j(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2481420 + 0.506.\nAnswer: -2481419.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 25206*y - 120 = -25211*y, 2*y - 35 = -3*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 839.5667l?\nAnswer: 839566.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - -757014?\nAnswer: 756bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1214, 5, -3, -3269, 3.\nAnswer: -3269, -1214, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*o + 725 - 2325. Let b(g) be the second derivative of 1\/10*g**5 + 0 + 16*g**3 - 2*g**4 - o*g**2 - 14*g. Determine v, given that b(v) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16)\/(3\/(-24)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 80.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 50 - 62 = 0. Find the third derivative of 50*a**2 + 74*a**4 - 73*a**4 + 2*a**3 - 143*a**z wrt a.\nAnswer: 24*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 9 - 21. Suppose -5*w + b + 20 = 0, 2*w + 2*b - 12 = -w. What is the remainder when 53 is divided by (3 - w)*f*-3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**6\/3 + 152*n**4 - n**2 - 283*n + 543. Find the second derivative of i(v) wrt v.\nAnswer: -40*v**3 + 3648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 - 125 = 5*h. Calculate the greatest common factor of 58 and h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 8440*d - 17313*d + 8545*d - 4.\nAnswer: -328*d + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2296837314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24948 is divided by 127?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + -0.09. What is the third smallest value in 0.4, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) 5 (c) 15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) + 28\/16. Suppose f*y = 6*y - 112. Suppose y = -3*m + 7*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p**1*p)\/(p*p**(-4)\/p*p**5*p*p))**(-42) assuming p is positive.\nAnswer: p**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -154280.\nAnswer: 3\/5510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -100*o**4 - 7*o**3 + 152*o**4 - 184 + 6*o**3 + 30*o**2 + o**3. Find the second derivative of g(y) wrt y.\nAnswer: 1248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let j(n) = 23*n + 1 - 1 + 10*n. Determine j(b(f)).\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -687000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16418*d**3*m**3 - 3*d**3*m + 1932*m**3 - 3*m - 1 wrt d?\nAnswer: -49254*d**2*m**3 - 9*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/3639 (b) -3\/2 (c) 256 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-4\/7)*h*h*h))*h)\/h*h)**(-40)*h\/(h\/((h**10\/h*h)\/h))*h**20 assuming h is positive.\nAnswer: h**(-757\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 64. Let u = 22 + -5. Calculate the remainder when f is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 107*x**2 - 107*x + 91. What is the ten thousands digit of v(101)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(153))\/(sqrt(9)*1*4))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/4467?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u*u**(3\/7)))\/(u\/u**(3\/2)))\/((u\/u**(-2))\/u**4))**(-1\/46))**(-4\/13) assuming u is positive.\nAnswer: u**(1\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7980 and 1464330?\nAnswer: 2928660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 2009113.\nAnswer: 160729.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1159\/1989 + -6\/221. Let b(a) be the first derivative of 2*a**2 + f*a**3 + 4\/3*a - 4. Factor b(j).\nAnswer: (j + 2)*(5*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238105*p**3*z**2 + 115*p*z**2 + 14*z**2 + 291*z - 303 wrt p?\nAnswer: 714315*p**2*z**2 + 115*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271778 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**3 - 458*g**2 + 2423*g - 2292. Calculate a(-40).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 6:18 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 23. Sort -3, -1, m.\nAnswer: -3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 - 5296640*x + 1402719764480 = 0.\nAnswer: 529664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {d: 1, u: 1, j: 1, q: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 260\/(-117) + -1 + 5. Let r(l) be the first derivative of -5\/4*l**4 + w*l**3 - 2\/3*l + 5 + 4\/15*l**5 - 1\/2*l**2. Let r(f) = 0. Calculate f.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = -32. Suppose 0 = -8*m + d*m - 872. What is the third derivative of -m*z**3 + 6*z**6 + 7*z**2 + 218*z**3 wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41.3 (b) -0.1 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759955 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 3*g - 2. Let v = -341 + 395. Suppose v*h - 59*h = -235. What is the remainder when h is divided by q(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159354 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1072, 1, 2, 5, -1, -27, 355 in increasing order.\nAnswer: -1072, -27, -1, 1, 2, 5, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2)\/(-8) - ((-170)\/20)\/17. Solve i = -144*p + 132*p + 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4303 <= -4253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 7*w + 813. Calculate the remainder when 231 is divided by u(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.4 + 32. Let o = 10.6 - m. Let s(n) = -4*n - 20. Let j be s(-5). Sort j, o, -0.1, -2\/5 in descending order.\nAnswer: j, -0.1, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9137\/5 + -1827. Sort 1\/7, i, -52.\nAnswer: -52, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - i**2 - 7*i**2 + 3*i**2 - 4*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98851602, 98851601, 98851600?\n\"Answer: -o + 98851603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/1 + (-2 - -4). Suppose -3*b = t - 11, -3*t + 17 = -4*b + 9*b. Let p = z - b. Calculate the least common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 341*y**2 - 341*y**2)*((2*y - 2*y + y)*(4 + 0 - 3) + 2*y - 2*y + 6*y).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 equal to 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-5))\/(2\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 210. Calculate the remainder when n is divided by ((-36)\/(-2))\/(0 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 14*q + 45. What is p(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36792360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9904*y - 476209 = -1537*y + 516*y + 145601 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*w**3 + 310*w**2 - 562*w**2 + 63*w**3 + 1 - 1 - w**3 + (-4*w**3 - 3*w**3 + 5*w**3)*(-3 - 3 + 4) in the form g*w**2 + u + t*w**3 + c*w and give g.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*q + 11739 = -1468 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 236 + 2431?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k**3 - 7*k - 7. Suppose 4*x = 5*x + 7. Let v = -42 - -70. Let w be (8\/v)\/((-2)\/14). Let z(d) = 3*d**3 + 2*d + 2. Calculate w*p(f) + x*z(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620129367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 450480*b**2*g + 3519*b**2 + 10*b - 3 wrt g?\nAnswer: 450480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 6*x + 3. Let d(u) = 7*u**2 - 12*u + 6. Let k(g) = -3*d(g) + 5*w(g). What is the units digit of k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/5)*c*c**31 assuming c is positive.\nAnswer: c**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/7 - 993*z**3\/7 + 340474*z**2\/7 - 676968*z\/7 = 0?\nAnswer: -1263, 0, 2, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.817 + -1.117. Let w = 3.1 - 3. Put 2, x, w, 0.2 in descending order.\nAnswer: 2, 0.2, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/4 - 14*w**3\/3 - 5*w**2\/2 + 40*w - 3. Does 11 divide n(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212 and 169848?\nAnswer: 9001944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.018 + -242.482. Let v = 243 + u. Is v bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 12) to base 8\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + 9. Let c be h(-11). Let p = 3 + c. 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: Suppose -2*f = -4*b + 5 + 1, -4*b - 4 = -4*f. Solve -9 = -f*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250964887.\nAnswer: 3557, 351691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58451.\nAnswer: 58451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:07 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 56, 77, 94, 107, 116, 121?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*u**4 + 20*u - 183 wrt u.\nAnswer: -36*u**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1021.999514 + -1022. What is t rounded to 5 decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, m: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000448251284 to 7 dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.836 to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/12)\/(17\/(-391))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v - 129 = -0*v + 129 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2160799*f**3*n**3 + 103*f**3*n - 2*f**3 + 824232*f**2*n**2 - 2*f**2*n - 23*n**5 wrt n.\nAnswer: -12964794*f**3 - 1380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2064\/946 - (-2)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 9*n - 6. Let t be c(-8). Suppose -3*m = -0*m. Suppose p = -t*r - m*r + 4, 4*r - p - 8 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 36*j**2 + j - 6. Let o be g(2). Calculate the greatest common divisor of o and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/13 + 440014*i = 0.\nAnswer: 0, 2860091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 24*s**2 - s + 16. What is the tens digit of h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1202, -5, -1\/3 in decreasing order.\nAnswer: 2, -1\/3, -5, -1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4696 + -1490. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - q**2 + 2*q**4 + (-4*q + 4*q + 3*q)*(-5*q + 5*q + 22*q**3) in the form m*q**3 + i*q**4 + f + x*q + k*q**2 and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*v - 5*z, 300*z - 317*z = -v - 18 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 30*d**2 - d + 1. Determine r(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -1 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319442604 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + w - 13. Let t(q) = -16865*q**2 + 7*q - 91. Calculate 7*b(h) - t(h).\nAnswer: 16893*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.556255 rounded to two dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d = 97*d + 534*d + 96*d + 44005 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78c - -134d?\nAnswer: bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505, -728, -1099, -1618, -2285, -3100, -4063?\nAnswer: -5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 366, 364, 362, 360?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37422 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4646 and -31\/47175.\nAnswer: 219175050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(3068\/59)*5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-1))\/5 - 40\/(-18). What is the nearest to -0.2 in t, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*b + 5. Let h be (-5)\/5*-8 - 4. Sort b, h, -17 in increasing order.\nAnswer: -17, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 37*o**2 - 76*o - 79. Let x be c(39). Which is greater: x or -2\/2233?\nAnswer: -2\/2233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 3*l**4\/8 - 5*l**3\/6 + 154*l**2. Determine x(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 - q**2)*(3*q - q + 0*q)*(-2 - 7 - 17).\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1894*z + 1 - 3791*z + 1896*z. Suppose -3*r + 18 = 2*a, 0 = -r + 4*r - 5*a - 39. Let b = -11 + r. Determine l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let g(y) be the first derivative of y**3\/3 - y - 13. Let q(b) be the first derivative of g(b). Give q(h(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.79 + 2.99. Sort 48, -5, n.\nAnswer: -5, n, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4243177 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - t. Let m(r) = 4*r**2 + 10*r + 1. Let f(p) = m(p) + 3*x(p). Let k = -209 + 203. Give f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x - 22*x + 34*x)*(3*x**3 + x**3 - 3*x**3).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10*s*s*s\/((s*s\/s**(1\/16)*s)\/s)*((s\/(s*s\/s**(7\/5)))\/s)\/s**3 assuming s is positive.\nAnswer: s**(597\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-357)*21*-17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*h + 144, 5*h - 10 = 5. Suppose 3*s - 31 = f. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.31740354 to four dps.\nAnswer: -6.3174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 3*w + w**2 + 0*w**2 + (4 - 5 + 0)*(0 - 4 + 3)*(-4*w - 11*w + 45*w)*(-w - 2*w + 2*w).\nAnswer: -27*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4523*u - 63625 = 4220 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((185 - 118 - 112)*(-4 + 4 + 4) + 1 - 5 + 6 + (-2 + 4 + 1)*(-2 + 4 + 0))*(3 + 0 - 6*t**3 + 7*t**3).\nAnswer: -172*t**3 - 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-336)\/(-210) - (2\/(-5) + 0). Solve 4*y + 0*y + d*a = -20, 0 = 5*y + a + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -t, 3*z - 7*z - 2 = 2*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 + 4*b + 6. Suppose -261*w = -257*w + 24. Let x(g) = 2*g**3 - 13*g**2 - 8*g - 13. Determine w*x(a) - 13*d(a).\nAnswer: a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1034 and 16324?\nAnswer: 767228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 3 - 4)*(-5 + 5 + 11*l**3).\nAnswer: 22*l**4 - 22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbbttbttttttbtbtt. What is prob of sequence tttb?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -982.81135\nAnswer: 294.843405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/15 + 2*w**4 - 26*w**3\/3 + 21*w**2 - 1. Factor f(j).\nAnswer: 4*(j - 1)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 2 + 441*j + 20 + 22 - 437*j in the form m + k*j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2, 5\/12219, 0.5, -26, -5?\nAnswer: 5\/12219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205474 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3383 + 3409. What is the remainder when 1816 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.24, -350, -4?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzcssncssnsgmnznsn. Give prob of sequence ngn.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 9*s + 5. Let j be d(-9). Suppose j*w + 130 = 3*t, 130 = -2*w - 3*w + 2*t. Let h = w - -27. Do 1 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 + 4*x**2 + 12*x + 4. Let a(u) = 0*u**3 + 969519*u**2 - 5 - 13*u - 7*u**3 - 969524*u**2. Determine 4*a(n) + 5*t(n).\nAnswer: 2*n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -7 (c) 5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*(a*a\/(a*a**(-6\/7)))\/a)\/a))\/a**2)\/(a**(-1\/7)\/(a\/a**1)) assuming a is positive.\nAnswer: a**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 9:07 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24524 = -4*u, -4*h - u = -4*u - 24531. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235909 is divided by 1371?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**3 - 8*g**3 - 2*g**3 + (-g + 4*g - 4*g)*(6*g - 1199*g**2 - 8*g + 315*g**2) to r*g + a*g**2 + o*g**3 + c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*y = -81*y + 57*y + 14*y + 3888 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - -1*sqrt(300)) + -3 - (sqrt(96) - (sqrt(96)*1 - sqrt(96)) - sqrt(96))\/sqrt(8))**2*-6.\nAnswer: -2232 + 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((0 - -1) + (3 - (15 - -1)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g + 275 = -3*g + 775 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 730.\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 35*d**3\/3 + 305*d**2\/2 - 90*d + 146. Factor y(v).\nAnswer: 5*(v + 9)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-48) + (-27601)\/(-31544)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 28585. Let m = z - 28734\/5. Let j = m + 30. Put -2, j, 1 in decreasing order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*6\/966 - 8\/(-56)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3429*o - 280708 = 58763 for o.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 + -194. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 9) + -9 + (-50 - -63)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510 and 60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 + 27 = r, r = d + 24. Which is smaller: r or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1882692197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 24 = 7*o. Let m = o + -4. Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*(r**(-10)*r)\/r*r)\/r*r)\/r*r)\/r)**(-11)\/(r**(-2\/5))**(-4\/9))**(10\/21) assuming r is positive.\nAnswer: r**(8894\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2. Let g be j(-1). Let s(f) = 8*f**g + 4 - 5 + 2. Let n be s(2). Calculate the highest common divisor of n and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 381, 88, -311, -810, -1403, -2084, -2847?\nAnswer: -3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5 + 1 + sqrt(76) + (sqrt(76) - (sqrt(76) - (-2 + sqrt(76) - sqrt(76))))*-6 + 3)*-4 + 0)**2*2.\nAnswer: 1280*sqrt(19) + 5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + 2 + 4*o**2 + 5 - 6 to the form l*o**4 + h*o**3 + i*o + t*o**2 + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u + 17. Let k be d(3). Suppose -10*r + 7776 = k*r. 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: In base 5, what is 104200 - 4032203?\nAnswer: -3423003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = -5*n, -40*y + 36*y = 5*n + 7. Solve -5*o = -3*z - 4*o - y, 0 = 4*z - 4*o + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 31*f**3 + 35*f**3 - 96*f**3 + 31*f**3 - 10*f**2 - 2*f + 4. Determine c(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1326, -2696, -4164, -5778, -7586, -9636, -11976, -14654?\n\"Answer: -8*j**3 - j**2 - 1311*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 q when four letters picked without replacement from qzqquuquzqqaqzqza.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 + 9*c**2 + c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4709791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2307042*c**3 - 5583*c - 18?\nAnswer: 13842252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/25, -4, -43, -1\/15 in descending order.\nAnswer: -1\/15, -16\/25, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -0.1 (c) -432\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*r - 20 = 0, 2*n + 12 = 4*n + 4*r. Let s be (2\/6 + n\/48)*-4. Find the common denominator of s\/(-15) + 5409\/(-1080) and 23\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5183 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 3.8. Let h = -56947 + 397939\/7. Let l = h - -98. Which is the third smallest value? (a) -2 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10780609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2*7\/(-168)*-6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 1. Let y(d) be the first derivative of -5*d**2 + 6*d + 3. Calculate 11*h(w) + 2*y(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a = -43*a + 18. Does 10 divide -2*((-369)\/2)\/a - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/7*546\/(-117)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -211, -421, -631?\n\"Answer: -210*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17961008*v**2 - 17961008*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9587 + 15054. Suppose -4*k = p + 573. Round k to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 2*t**5\/15 - 1514*t**2. Let u(f) be the second derivative of 0*f**3 + 0 + 1\/12*f**4 + f + 0*f**2. Determine u(k(y)).\nAnswer: 64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 8}. Give prob of sequence pj.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/14 and 8\/758099.\nAnswer: 10613386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000100110010101 (base 2) in base 9?\nAnswer: 333048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 284\/360 + (-4)\/8*2. Let v = -433\/45 + c. What is the common denominator of v and (47\/16 + -1)*-2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.3 - 21.3. Let v = 8 + -4. Which is the closest to 1.3? (a) -1 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130825?\nAnswer: 5, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from ffyffyxfffqxqfsyqf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -85. Let a = w - -190. Calculate the greatest common factor of a and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-10)*30\/4. Let i(y) = 6 + y - r*y - 3. Let n = -17 - -19. What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*x - 2 = -2*l, -3*x = -2*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 2*s = -5*i - 2, -2*i + 5 = -3*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 10 + t**2 - 3 in the form q*t**2 + s + o*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.1 (c) -45.8 (d) 0.01 (e) 9 (f) 0.2 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358817021?\nAnswer: 349, 1028129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.016 + 0.055. Is h at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 2*p + 56, 10*m = 3*p + 8 + 101 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1212*l**4 + 51 + l - 401 + 26 wrt l?\nAnswer: -14544*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 14*l**2 + 1 - 13*l**2 + l**4 - 7*l**2 to the form k*l**3 + q*l + o*l**2 + r + t*l**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 7*v**2 + 6*v + 46. Let a be j(-7). Let t = -4.3 + 4. What is the biggest value in a, 2\/5, 3, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383585177 by -1.\nAnswer: 383585177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264848, 264780, 264720, 264668, 264624, 264588, 264560?\nAnswer: 264540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -3, 2, -5, -212 in descending order.\nAnswer: 2, -3, -4, -5, -8, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let h(c) = -c**3 + 2*c**2 + 3*c - 4. Let n be h(3). Let w(r) = 2*r**2 - 5*r. Let v(i) = -i**2 + 2*i. Let p(a) = n*w(a) - 10*v(a). Give p(y(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185*a**3*z**3 + 5*a**3 + 4*a + 2*z**2 wrt z?\nAnswer: -1110*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15827224 divided by -16982.\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1113 + 0?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1156 - 361. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 4*m = -54. Solve 0 = -m*n - 0*x - 5*x - 3, 2*n + 2 = x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137558.\nAnswer: 2, 109, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -505, -1700, -2879, -4042, -5189, -6320, -7435?\n\"Answer: 8*i**2 - 1219*i + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208697916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1928464 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/((-187704)\/26070)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38679676?\nAnswer: 2, 7, 211, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195709602 to the power of 1\/2, to the nearest integer?\nAnswer: 13990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*r = -12, -6*g - 4*r + 16 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 619.95 - 622. Let v = m + 1.75. What is the biggest value in 1\/12, 1\/7, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 17522*a\/3 + 353800.\nAnswer: 2*(a + 61)*(a + 8700)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -195, -393, -591?\n\"Answer: -198*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from -3.47.\nAnswer: -4.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -323, -324, -325, -326, -327?\n\"Answer: -t - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2092394 divided by -123082?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5, -3\/2, -0.3, 2\/5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2405 + -2278. Calculate the greatest common factor of 5969 and d.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17412481 and 83.05.\nAnswer: -17412397.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.85 - -40.16. Let j = -0.003 + 32.003. Let r = j + k. What is r rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 150*y**5 + 685*y**4 + 877*y**3 + 90*y**2 - 244*y + 8 = 0.\nAnswer: -2, -1, 1\/30, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109340\/(-781)*78\/105?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 297771.78 months in centuries?\nAnswer: 248.14315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5375 times 25136\nAnswer: 135106000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-9) + (-4)\/6. What is the second derivative of 2*d - i*d**2 + 2*d**2 + 4*d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5043*a + 466*a - 15000*a in the form g*a + d and give g.\nAnswer: -19577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174756?\nAnswer: 2, 3, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/10)\/2*90\/(-54). Suppose 913 - 3560 = -5*d + 2*k, 0 = t*d + 4*k - 1054. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0182 times 69693?\nAnswer: 1268.4126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 + 23*n**2 + 11. What is the hundreds digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1257 and -1255 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8186848793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -554*s + 477 - 477 + (1 + 1 - 3)*(4 - 2*s - 4) + (-2*s + 3 - 3)*(-5 + 4 + 2) as p*s + h and give p.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -1. Let u(a) = -40*a + 16*a - a**2 - 8 + 12*a. Let g be u(-11). Put g, 5, t in increasing order.\nAnswer: t, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**1\/d)*d))\/d*d**(-1\/10)*d*d*d*d)\/(d*d**0)**(-36) assuming d is positive.\nAnswer: d**(379\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + (2 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 13507.\nAnswer: 2188134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a447 (base 12) in base 7?\nAnswer: 103135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**2 - 3*h + 4. Let d be m(4). Let a be (d\/35)\/(1\/14). What is the greatest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -98346.\nAnswer: -98342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229.166 micrometers to nanometers.\nAnswer: 229166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 + 7*p**4\/24 + 42*p**2 + p. Factor y(f).\nAnswer: -f*(f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -9. Put -4, 3, j in decreasing order.\nAnswer: 3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 101 - (1 + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2024\/119355 or 1?\nAnswer: 2024\/119355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 60, -2\/5 in descending order.\nAnswer: 60, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*m - 2*t + 11 - 19, 5*t + 339 = -3*m + 256 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.015 and -299632?\nAnswer: 299631.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/37 and 14\/5.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*k + 4*k = -12, 0 = -9*u - 67*k + 62*k + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*q**3 + 71*q**3 - 122*q**3.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1747*t + 5997*t - 29926 + 4927834 + 2598284 + 2*t**2.\nAnswer: 2*(t + 1936)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36874458?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 17*d + 40*d - 12*d - 9*d - 8*d.\nAnswer: 6*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 + 1351*v**3 + 2*v**2 + 33*v - 2 wrt v.\nAnswer: 24*v + 8106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 28*p + 57. Let h(j) = -j**2 - j + 1. Let v(n) = -b(n) - 4*h(n). Let i be v(27). Calculate the highest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(1 + -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 354767.5 to the nearest 1000.\nAnswer: 355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.492991366 rounded to four decimal places?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12551055.\nAnswer: 3, 5, 11, 29, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/4)\/(-15)*(80\/15)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (0 + sqrt(539) - sqrt(539)) - (sqrt(539)*2 + sqrt(539) + 1)) + -4.\nAnswer: -21*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2928\/7? (a) 0.4 (b) 0 (c) 2 (d) 1\/4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -777 + 790. Let m(f) = -f. Let y be m(0). Suppose 10*p - n*p + 57 = y. What is the greatest common factor of 209 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002859113 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 28 = -12*t. What is the third biggest value in -2\/7, -3, t, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.98284129*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 9*i - 9. Let h be d(-7). Suppose 4*n = -h*a - 33, -a - n - 12 = a. Let l be (1 + -1)\/(10\/a). Solve q + q + 6 = l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*o + 4534 = 0, -8*c - 4*o = -12*c + 3036. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701955151 is divided by 1346?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -140, -1, 5, -4 in increasing order.\nAnswer: -140, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 106*k + 106. Let c(t) = -t**2 + 6*t + 2. Let y(o) = c(o) - h(o). Factor y(u).\nAnswer: 4*(u - 26)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3\/2, -1, 0.043, -0.4?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-2 - 2 + 2)*(j**4 - 5*j**4 + 2*j**4) + 2*j**4 - 4*j**4 + 3*j**4 + 2*j**4 - 2 + 2 + (2*j - 2*j - 2*j)*(3*j**2 - 2*j**3 - 3*j**2).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3840393490319 - 0.26.\nAnswer: -3840393490319.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + sqrt(76) + (sqrt(76) - sqrt(76)*-1) + sqrt(76) + -4.\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w - 6. Suppose -5*i + 0*i + 60 = 0. Let p = 2 - 2. Suppose 3*o = q - i, 0*q - q + 4*o + 16 = p. Give c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8986752 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*48\/54. Does -0.1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2)\/(-3 - (-4 + 2)). Solve -5*a = 2*f + 24, 4*f + a + a + 16 = t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2, -3*k - 3*n + 1 = k. Suppose 2*m = 5*g + 18, -4*g + 3*m - 18 = -5. Let r = k - g. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1437561.776 to the nearest 10000.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n. Let g(t) = -72*t**2. What is j(g(h))?\nAnswer: 432*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6\/5 (b) 0 (c) -0.07 (d) 9488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 821\/9. Let a(w) = w**2 + 2*w + 3. Let g be a(-3). Suppose -5*y - g = 4*q - 39, y = -q + 7. Put s, 0.5, y in descending order.\nAnswer: y, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11025.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 greater than -169194\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**0*a*a**(-5)*a*a*(a\/(a*(a\/a**0)\/a))**34 assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**5 + 4*l**4 + 11361*l**3 + 684043*l**2 wrt l?\nAnswer: -600*l**2 + 96*l + 68166","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t**7 assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60428877.9999998 - -60428870. Let o = m - -8. What is o rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 3.1 (c) 0 (d) 21\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -401 + 401 - 2*b + 3*b. Let z(x) = 2*x**2 - 3*x + 3. Let k(c) = 9*c - 30*c + 9*c**2 + 13 + 8*c. Let j(y) = -6*k(y) + 26*z(y). Calculate m(j(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/40*(-52)\/182?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*v - 11. Let j = v - 5. Is j less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13587587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17212 and 54548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -8. Let u = -14.225 + f. Let h = -0.28 - u. Round h to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 1, l: 1, x: 2, d: 2, b: 2}. What is prob of sequence jrd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1*2\/10*-13. Solve -2*w + 4*h - 5 = -v, 0 = 5*w - h + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(147) + 2 - sqrt(147) - sqrt(147)))**2 + sqrt(15)\/(-2*(sqrt(30)\/sqrt(6) + sqrt(5))).\nAnswer: -4033*sqrt(3)\/4 + 5436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -627, -1423, -2537, -3969, -5719, -7787?\nAnswer: -10173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y - 64. Let p be (y\/6)\/((-2)\/9). Let v be 11\/1 + p\/(-6). Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.975135mg?\nAnswer: 975135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/128 and 23\/21040.\nAnswer: 168320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 15*m + 1 - 1 + m**2 to the form j*m**2 + i*m + d and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802337 is divided by 900846?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -43*m**2 + 7. Let x(t) = 703*t**2 - 114. Determine -114*i(b) - 7*x(b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5773 + 15?\nAnswer: 6010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/5 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/205 or 1?\nAnswer: 4\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -515*p**4 - 876*p**4 - 192*p**4 - 2601*p**2 + 624 + 2601*p**2 wrt p?\nAnswer: -6332*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55*(-72)\/(-6930))\/(-2*9).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12 + 7*y**2 + 7 - 18. Let a(i) = 6*i**2 + 1. What is 5*a(h) - 4*p(h)?\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 13 - 13)*(8*l**2 - 2 + 3*l - 5*l + 1) + 2 - 2 + 7*l**3.\nAnswer: 63*l**3 - 14*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 3, a: 5, l: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 4 + 4)*(7 - 7 + 6*b)*(1 + 2*b - 1) as g + c*b**3 + d*b**2 + j*b and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*q - 166*q - 60*q - 98*q + 8*q - 113*q.\nAnswer: -352*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -22056 < -22055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:10 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(51 - (1 - -1)). Let m = 48 - d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174431985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30534.\nAnswer: 2, 3, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -201a1 (base 12) in base 5?\nAnswer: -2313422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/12 and 61\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5845497, 5845487, 5845473, 5845461, 5845457, 5845467, 5845497, 5845553?\nAnswer: 5845641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 441521848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 27*o**2 + 2*o - 2. Let y(v) = 3*v**3 + 28*v**2 + 3*v - 3. Determine -3*k(d) + 2*y(d).\nAnswer: -3*d**3 - 25*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m - 4. Let y(j) = -3*j**2 - 11*j + 11. Let o(i) = -11*f(i) - 4*y(i). Let n(s) be the second derivative of -s**3\/3 - 3*s. What is o(n(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrpggpddpgrpgddpp. Give prob of sequence dgdh.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.2, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -449, -1\/6, -2, -1 in decreasing order.\nAnswer: 3, -1\/6, -1, -2, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*t - 0 + 4, 5*g = t - 10. Solve t*r = -4*q + 3*r - 23, -2*r = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -145*k. Let g(s) = 15*s**2 - 12*s + 3. Let x(o) = o**2 + 4*o - 1. Let j(w) = -g(w) - 3*x(w). What is j(p(z))?\nAnswer: -378450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*p**5 + 276*p**3 - 12*p**2 + 13640*p - 33 wrt p.\nAnswer: 880*p**3 + 1656*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 15*p**2 + 3*p + 6. Let t = -91 - -98. Let v be (1 - t) + (7 - 3). What is the tens digit of s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.572 and 10.\nAnswer: 9.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(4\/(-5 - -1)). Let g(x) = 24*x**3 + 2*x - 13 + 3*x**2 + 16 - 23*x**3. Calculate g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a factor of 4896000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/50 and 124904\/(-41520) + 102\/34.\nAnswer: 25950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28751 + -28751.00023834. What is j rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5663\/43838 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 9*p + 1. Let t be f(9). Let g be 0 - (t\/2 - (-13)\/26). Let y(x) be the first derivative of -x**2\/2 - x + 3. Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c - 4. Let i(k) = k**3 - k**2 - k - 7. Let j(o) = o**3 - o - 6. Let q(v) = 3*i(v) - 4*j(v). Is q(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 277, 291, 309, 331?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-9990)\/(-240))\/(-111).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-85)\/(-30))*756\/(-120).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 2:37 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649*g - 843*g - 824*g + 18 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 63.4. Let z = y + -18. Let q = 0.4 - 0.3. What is the nearest to q in 0.3, z, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 72*k + 188. Give f(85).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 852 + 852)*(-1 + 1 - 5).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146676 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -403, -623?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 12*d - 7*d = 0. Solve d = -w + 58 - 54 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 1 + 0 = -z, -2*v - 26 = 5*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*m - 636 - 6*m**4 + 636)*(3 - 6 + 1)*(m - 3*m + 5*m).\nAnswer: 36*m**5 + 432*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.21 (b) 0.2 (c) -5\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -43 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 5. Let x(v) = -2*v + 8. Let o be x(7). Let a be z(o). Let y be ((-6250)\/(-8))\/(a\/8320). What is y rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 6*x - 4 = 0. Solve -2*q = -i - 4*q + x, 2 = 2*i - 2*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 78\/(-12)) + 2\/(-4). Solve -3*j + 7 = s*z, 5*j - 29 = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7284 + 43343. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13634527?\nAnswer: 17, 802031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1176 and 259.\nAnswer: 43512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-42 + 3)) + 1. Suppose s - p = -2*s. Let g = 0 - -4. Calculate the remainder when s is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (548 - 488) + (-102 - 1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v = -103 - 47 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17704031 to the nearest integer?\nAnswer: 4208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36383.08 millennia in years?\nAnswer: 36383080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(16\/120). Suppose 9*s - 70 = -d*s. What is the lowest common multiple of s and 5*-1*(-40)\/25?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8698827ng in milligrams?\nAnswer: 0.0000008698827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 plus 1305?\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 2, c: 6, g: 3}. What is prob of picking 2 g and 1 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/64 - 19*d**5\/80 - 19*d**4\/64 + 7*d**3\/8 + 7*d**2 - 6*d - 2. Factor g(n).\nAnswer: -3*(n + 1)*(n + 7)*(5*n - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*n = -9654 - 47163. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 7 - 1 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/102 and 43\/240.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/5189?\nAnswer: 9\/5189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -119, -120, -121, -122?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r + r**2 + (-2 + r + 2)*(-2*r + 3*r + r) - 2 + r**2 + 2 - 2*r**2 + r**2 + 2*r**2 + 2*r**2 + 0*r**2 - 3*r**2 + (2 + 0 - 2*r + 5*r)*(0*r - 2*r + 3*r).\nAnswer: 7*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30196 by -2.\nAnswer: 15098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-2 + n + 2) + 4*n - n - n + 413*n - 759*n + 395*n.\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 2*b**4 - 7*b**3 + 54*b**2 + b + 55*b**2 - 105*b**2 as f*b**4 + a*b + h + n*b**3 + s*b**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 2)\/(-2 + -12). Let m be -3 - (0 + -3 - 0). Do b and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.52*5.74\nAnswer: 2.9848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536306 is divided by 11800.\nAnswer: 5306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 560*w - 928. Let s be q(2). Calculate the greatest common divisor of s and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 25*f**4\/12 - 65*f**3\/6 - 15*f**2 - 8*f. Factor x(g).\nAnswer: 5*(g - 3)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -24. Is (-25300)\/(-70) - a\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*h - 1, -h + 4*n + 4 = h. Suppose h = 2*u - 25 - 77. Suppose -v + u = -0*v. Calculate the highest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 49*f**2 - 23*f + 28. Let z be q(-24). Suppose 9*w + z = 11*w. Let b(r) be the third derivative of 5*r**4\/24 - r**3\/3 + r**2. What is b(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-35))\/((-9)\/21). What is the nearest to 5 in 1\/4, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25242433320 + -24.648\nAnswer: -25242433344.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*c - 2, 2*j - 3*j = -2*c - 2. Let h(g) = -g**3 + 5*g**2 - g - 2. Let f be h(5). Which is bigger: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbppbpppp. Give prob of sequence bp.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/((-25)\/2))\/(49\/(-70)). Factor b*l + 2\/7 + 2\/7*l**2.\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -237\/5 + 47. Let l be 0 - -1*2\/8. What is the closest to l in b, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 3. Let o(y) = -111334*y - 2. Let p be o(j). What is p rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338 or 348?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1303\/7 or -187?\nAnswer: -1303\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) - (-1898)\/5840\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 1 - 62. Suppose 2*x + 7*i - 12*i + 38 = 0, -3*i = 3*x + 36. Is x\/n*2259\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 16. Solve 3*b + p*f - 5 = 0, -2*f + 9 = -1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**2 + 2. Let w(i) = i + 11. Let l be w(-8). Let h(b) = l*b - 2*b + 2*b. What is h(j(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-13)*l)*l**(3\/14) assuming l is positive.\nAnswer: l**(185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 (base 9) in base 16?\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 6. Suppose -26 = -k*o + 5*h + 9, -3*h - 6 = 0. Find the third derivative of 7*r**2 - 6*r**2 + 3*r**2 + 4*r**o wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - b**4 + 0*b**4 + (-5*b**3 + 3*b**2 - 3*b**2)*(-2*b + 5*b - 4*b).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 (base 7) in base 14?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:51 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028*0.13873.\nAnswer: -0.00388444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023229 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 - 19*h**2 - 11*h - 22. Let n(c) = -12*c**3 + 38*c**2 + 21*c + 43. Let m(v) = 3*n(v) + 7*t(v). Is m(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000734 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x + 204 = -31*x - 223 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -79, -112, -141?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 28, 14, -6, -32, -64, -102?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.1 (c) -292\/3 (d) 0.1 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -3*q**7\/7 + 20*q**3 - 40. What is the third derivative of w(j) wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 3231833560*t + 522237407977113680.\nAnswer: 5*(t - 323183356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(-6)\/w)\/w)*w\/w**(4\/3))\/(w**(-1\/6)*w\/w**(1\/5))*((w**(-1\/4)*w)**32)**(-8) assuming w is positive.\nAnswer: w**(-5549\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2419 - 26. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -0.0219.\nAnswer: 0.000438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -733.32218 rounded to 1 dp?\nAnswer: -733.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((24\/20)\/((-90)\/24900))?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 5*b**2 + 17*b. Let m(p) = -p**3 + p**2 + 2*p. Determine -6*m(d) + r(d).\nAnswer: 4*d**3 - d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(22)\/sqrt(2) + 3).\nAnswer: -9 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 98977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8*-41 - 4\/32\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12172 (base 13) in base 3?\nAnswer: 1200120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 3:06 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1631\/1186 + -74\/593. What is the nearest to -1 in -27, 2\/35, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11994645 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 + 15894772*z**2\/3 + 31580503906018*z\/3 + 126321761307848\/3 = 0. Calculate z.\nAnswer: -3973691, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 91 + 56. Suppose -l*t + 75 = -9. Suppose -4*b + t = -b. Solve -5*r + 36 = -b*u, -7 = 4*r - 3*u - 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 13*v**2 + v**3 + 18*v**2 - 3 + (2*v + 0*v - v)*(v**2 - v + v) as i*v**2 + n + u*v**3 + o*v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12556 rounded to the nearest 100?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let l(v) = -60*v - 6*v + 2*v. Let i(s) = -416*s. Let p(k) = 5*i(k) - 32*l(k). What is p(b(y))?\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -23*a + 88. What is the remainder when 23 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17392 or -17055?\nAnswer: -17392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6542 + 7179.2. Let i = 542 - w. Round i to 0 decimal places.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/5 <= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 8*b**2 + 8*b - 5. Let c = -32 + 452. Suppose -c = 41*l - 174. Give k(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19805533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + ((sqrt(1728) - -2*sqrt(1728))**2 - sqrt(9)\/(sqrt(3) - 3*(sqrt(3) + -2*sqrt(3)))))*4.\nAnswer: -sqrt(3) + 62204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 + -123. Let f = -21 + k. What is the remainder when f is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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 467000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 104.117. Let j = -0.1169908 + m. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*x = -26, 3 + 29 = 4*b - 3*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 122*f**3 - 4*f**2 - 12 + 4*f - 123*f**3 + 6 + 29. Let w be d(-4). Solve -5 - 2 = p + 2*q, 2*p = 3*q - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 - 2 + 10*g**2 - g**3 - 10*g**2 + 2*g in the form n*g**4 + d*g + o*g**3 + i + a*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-22)\/6 + 3). Let f = c - -2. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13595 + -768. Let r be l\/(-10) + (-6)\/6. Let j = -1293 - r. Find the common denominator of -71\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237368010 rounded to the nearest 10000?\nAnswer: 237370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**0))\/g)**(12\/11)\/(((g*g**(-1\/4)*g*g)\/g)\/g**(-12)) assuming g is positive.\nAnswer: g**(-653\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, 0.1, -1\/3, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 126*n**2 + 24*n + 125. What is the hundreds digit of j(-41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 * -552.2\nAnswer: -25401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + 4*f**3)*(-4*f**2 + f - 3 + 4*f**2 - f**2).\nAnswer: -4*f**5 + 4*f**4 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 14*s = -150. Let x be 2863\/5 - 30\/s. Calculate the highest common divisor of 52 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 735. What is the highest common factor of 90 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 3, k: 1, t: 7}. What is prob of sequence ekte?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -230 + 143 - 24*a - 171 - 28*a. Let p be y(-5). Solve -h - 3*b - 3 = 0, p*h + 5*b + 4 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(3) + sqrt(3)*-2) - sqrt(450))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (0 + 1 - 4). Let l be 5\/(45\/(-6))*f. Let x be (-603)\/(-117) - l\/26. Solve -v - x = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 555 - 553. What is the highest common divisor of z and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 44*u - 37. Calculate the remainder when 1406 is divided by r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -277*j + 443. Is f(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 309, 253, 197?\n\"Answer: -56*r + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/435*75\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367, 724, 1075, 1426, 1783?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1a7?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, c: 1, a: 2}. What is prob of picking 1 u and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 247, 350, 501?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -428, 3, 1, -17 in descending order.\nAnswer: 3, 1, -17, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 + 11*h**5\/60 + 11*h**4\/24 + 4*h**3\/3 - 15*h**2. Let b be c(12). What are the prime factors of (321\/(-6))\/(b\/8)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/f**(-30\/13)*f)\/f)*f\/(f*f*(f*f**(2\/33))\/f*f) assuming f is positive.\nAnswer: f**(-1874\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(3*j + 0*j - j) + j + 3*j - 3*j + 0*j - 3*j - 5*j - 5*j + 4*j + 9*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4327273 to the nearest 1000.\nAnswer: -4327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*1)\/((-10)\/70). Suppose 2 = -o*n + 6*n. Let s be n\/(-7) - 36\/(-21). Solve 7 - s = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/21 and 107\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f**2 + 63*f + 78*f + 3*f**4 + 78*f - 191*f - 1 to the form q*f**2 + l + t*f**4 + n*f + i*f**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 40503265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.054 - -0.054. Suppose 4*z + 0*x = -2*x + 232, -z + 3*x = -44. Let r be ((-9)\/12)\/((-21)\/z). What is the fourth smallest value in s, r, -1, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/7 (b) -11 (c) -4 (d) 7 (e) 144 (f) 0.5 (g) -6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*p + 1 + (-4 + 4 + p)*(-2 + 3 - 6))*(-7 + 1 + 4)*(-2 + 1 + 0) to t + h*p and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 6. Factor 58*w**3 - 22*w**3 + 0 + 0 - 8*w**2 - y*w**4.\nAnswer: -4*w**2*(w - 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(2*t - 3 + 3)*(0 - 2 + 3)*(3 + 5 - 17)*(4 - 1 + 4) as k + z*t and give z.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/2311, -2\/13.\nAnswer: -3, -2\/13, 3\/2311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/91 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -50, -37, 30, 169?\n\"Answer: 3*o**3 - 44*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1881, 3477, 5073, 6669?\n\"Answer: 1596*o + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*p + 756*p = -2*h + 12, -3*p = -h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let k be a(2). Suppose -4*c - 5 = 11, 3*c + 4 = -v. Let w be (v\/(-6))\/((-4)\/6). Is w greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4992963 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 26. Let q = -25.78 + d. Let k = 6.22 - q. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (718 + 123*j - 718)*(-15 + 1 + 1)*(4 - 4 + 2*j)*(-j - 2*j + 2*j) in the form b*j + o*j**3 + c + x*j**2 and give o.\nAnswer: 3198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmfwwwrwwc. Give prob of sequence cfmr.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/70899 and -2\/1143?\nAnswer: 27012519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 + 7*q**3\/3 - q**2\/2 - 3*q - 2. Suppose 6 = -3*f + 42. What is the least common multiple of g(-7) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -21 (c) -1\/2 (d) -6 (e) 207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -217601600 to the nearest 1000000.\nAnswer: -218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0.3, -0.3, -5277 in ascending order.\nAnswer: -5277, -0.3, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 8*s - 3*s. Suppose 12 = 4*g - x, -5*g + 4*x + 5 - 1 = 0. Let n be b(g). Solve q - 25 = 5*q - 5*a, n = -2*q - 2*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645 divided by 15.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -5)*(-4062)\/8. Let u = 5436 - 2214. Let t = u - x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + v + 2*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 3*x + 18)*(-5 + 2 - 4) as l + q*x and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 118. Let c(q) = -118 + m - 2*q**2. Let k(h) = 3*h. Determine c(k(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 65 = 5*x, -65 = -3*x - 0*x + 4*w. Let h be x\/2*104\/650. Which is the biggest value? (a) -0.2 (b) h (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27346\/177073 + -8\/13621. Suppose 34\/13 + 36\/13*a + k*a**2 = 0. Calculate a.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1174381276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 241*g + 3*g**2 + 484*g - 243*g.\nAnswer: 3*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*z - 24, 47 = -4*d + 581*z - 580*z for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -7, 58, 149, 266, 409, 578?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3421424?\nAnswer: -1\/1710712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1744 * 0.5.\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 8*l + 6. Let i(u) = -2*u**2 + 3*u - 2. Let m(g) = 11*i(g) + 4*n(g). Let o be 10 + -2*(4 - 2). Suppose -o*p + 3*p = 6. Give m(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -272\/5, 1736, 4, 1\/3?\nAnswer: -272\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 75. Let f(n) = n - 90. Let z(x) = -5*f(x) - 6*o(x). Let c(t) = 243*t. What is c(z(i))?\nAnswer: 243*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -1*(sqrt(288) + sqrt(288)*-2) + -2 + (sqrt(288)*1 - sqrt(288))))**2.\nAnswer: -600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331 - 310. Suppose p*k + 212329 = 34*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = i + 9*i. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 258384*f - 258382.\nAnswer: -2*(f + 1)*(f + 129191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 166063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.138, -1\/38, 1\/2, -1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - z + 32046. Suppose -3*s + c = s + z, -6695 = 5*s - 5*c. Is 1 - s - (-2 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 9*u**4 - 5*u**4 - 92 - 35*u**4 + 92 + (-2*u**2 - u**3 + 2*u**2)*(-u - 3 + 3) - 1 + u**4 + 1.\nAnswer: -34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**3 - 13*s**2 - 13*s + 3. Let v(f) = -13*f**3 - 27*f**2 - 27*f + 5. Let m(d) = -5*c(d) + 3*v(d). Factor m(l).\nAnswer: -4*l*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 226*w**3 - 13*w**2 - 23*w + 8. Calculate t(-2).\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a9e (base 16) in base 8?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 4*o**2 + 4*o + 13. Calculate m(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1056 and 528.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 44*v.\nAnswer: -v*(v + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Suppose -25 = 5*w - 0*w. Suppose 52*m + 4*m - 117 = -5. Put 0, j, m, w in decreasing order.\nAnswer: m, j, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 + 6. Let w = -338.79988 - -338.4. Let n = z - w. What is n rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 - 2*q + 3. Let d be f(5). Let n be ((-29)\/4)\/(d\/28). Suppose -2*w + 4*h - h = -n, -53 = -5*w + h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x + 1. Suppose -76 = -5*q + q. Let f = q + -20. What is the remainder when w(f) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10723.\nAnswer: 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-120)\/(-600)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 742, 0.4, 4\/127?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**3\/3 - 7*b**2\/2 + 4*b + 4. What is the tens digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -14212?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -369886\/13 + 7768178\/273. Determine k, given that 2\/21*k**4 - u*k**3 + 46\/7*k**2 + 1352\/21 + 1144\/21*k = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*(k\/k**(-2\/3))\/k))**(-26)\/(k**(-6\/7)*k*k**(2\/11)))**(-22) assuming k is positive.\nAnswer: k**(4154\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5650965.\nAnswer: 3, 5, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o**2 - 5096*o - 39855. What is c(-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3248 - 494 = 32*y - 338*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/60 + j**4\/24 + j**3\/2 - 13*j**2. Suppose -18 = -6*m - 0*m. Determine p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/40*-12*(-36)\/18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39, 55, 95, 171, 295, 479?\n\"Answer: 2*n**3 + 2*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - q + 1. Let g(j) = -60*j**3 + j**2. Determine -g(o) + t(o).\nAnswer: 60*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227969022055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 7*a - 3*a**2)*(-1 + 1 + 2*a) + 3 - 3 - 3*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:54 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - -4 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 = -2*y, 3*y - 9*o = -6*o + 12. Suppose -5 = t, 109*g = 113*g + y*t - 3189. List the prime factors of g.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - 34. Let w = i - -59. What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037269 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4 + 4)*(2*v - 4*v + 0*v)*((-v**3 + 2*v**3 + 0*v**3)*(6 - 4 - 4) + v**3 - v**3 - 3*v**3 + 6*v - 6*v - 2*v**3 + (v + v - v)*(-2 - 2*v**2 + 2)).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-6\/7)*s*s**(4\/9)\/s*(s**(-3))**40)**(-25) assuming s is positive.\nAnswer: s**(186500\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1063.3344 months?\nAnswer: 0.0886112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-619 + 619 - 52*x)*(-3 - 2*x - 2*x + 2*x).\nAnswer: 104*x**2 + 156*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0149 + -0.3149. Sort d, -4\/47, -1.\nAnswer: -1, d, -4\/47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 7. Let g = c - -20. Let l = g + -10.5. What is the second smallest value in -0.2, 0, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -7, 7\/3, 25, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234\/2567 - -1857761\/20520598. Let s = w - -208399\/887334. What is the common denominator of -23\/51 and s?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-5) - -2) + -3. Let d(k) = -12*k - 2. Give d(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6154771 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -43*b**2 + 1658936*b + 154320 = 0.\nAnswer: -4\/43, 38580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55772825 divided by -5\nAnswer: 11154565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 324472 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 32*t**2 - 6*t + 1572. What is l(-30)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1004 - 998. Let q(k) = -k + 4. Let o(a) = a - 5. What is j*o(u) + 5*q(u)?\nAnswer: u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeevzeeeveeeeqeqzeqe. Give prob of sequence qzqq.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + q + 4. Determine r(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 68, -7, -84, -163, -244, -327, -412?\n\"Answer: -z**2 - 72*z + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4680 - 4969. Does -293 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -11760.\nAnswer: -9\/3920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54601423, -54601424, -54601427, -54601432?\nAnswer: -54601439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*d = 27*l + 9, 2*d + 5*l + 41 + 0 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7 + s + 5 - 4*s**2 + 4*s - 37*s**3 + 38*s**3. Give t(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/(335\/804)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Suppose -3*u = -g*w + 6*w - 351, 0 = 2*w - 2*u - 158. Calculate the highest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(288) - sqrt(32)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 6 (b) -2097 (c) 1 (d) 1\/6 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 63*x + 642. What is v(14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26753, 53881, 81019, 108173, 135349, 162553?\nAnswer: 189791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u + 123. Let n be k(-23). Let l(x) = x**2 - 9*x + 2. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 1210.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -79. Let j be 36\/y - 2*(-4 - -2). Let k(w) = 3*w - 1. Determine k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(8\/7))**31 assuming r is positive.\nAnswer: r**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1 - (-63 - -40)) + -34 + 44 + -24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = 0. Let w be 12\/(-8)*(-64)\/12. Let o be (9\/(-24)*2)\/(3\/(-8)). Solve -o*l + w = -v*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emb when three letters picked without replacement from mbmem?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/39)\/x**(-1\/20)*x**18*x\/(((x\/(x*x**(-2\/29)*x*x))\/x*x*x)\/x)*x*x assuming x is positive.\nAnswer: x**(520991\/22620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3)*-2)\/((-10)\/(-45))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546273 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.546803 kilograms in nanograms?\nAnswer: 1546803000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.929 times -0.2\nAnswer: 0.7858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*i + s + 6, 6 = -2*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c)**(-3\/2))**(-9\/7)*(c\/(c\/c**(2\/21))*c*c*c\/(c**(-3)\/c*c*c))\/(c**(-5)*(c\/(c**(-4\/5)\/c))\/c*c) assuming c is positive.\nAnswer: c**(2747\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*g + 324. Let h = -75 - g. Suppose 0 = -5*r - 2*d + h*d + 621, -r = -d - 123. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22286, 5551, 2 in descending order.\nAnswer: 5551, 2, -22286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:06 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(19))**2 + (sqrt(2299)*-1 + sqrt(2299) - sqrt(2299))**2.\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**11)**(9\/7))**(2\/91) assuming x is positive.\nAnswer: x**(216\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from ykmzj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110101000 + 1000110?\nAnswer: 10101111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -1. Let v = 12 + a. Calculate the highest common divisor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33890237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from pxjxxjx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3624*i**4 + 2*i**3 + i**2 + 2445*i?\nAnswer: -86976*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxmrymrmrmdmmmmm. Give prob of sequence yr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -12. Suppose r = f + f. Calculate the remainder when 53 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -26865\/48371 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 7*k + 9. Let q be 30\/(-25) - (-2)\/10. Let a be ((-10)\/(-2) - q)\/1. Let l be t(a). Sort 1, l, -4 in decreasing order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7350, 6087, 4824?\n\"Answer: -1263*p + 8613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -683*p**3 + 264*p**2 - 53*p - 4026902 wrt p.\nAnswer: -2049*p**2 + 528*p - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, -2, 4, 26 in descending order.\nAnswer: 26, 5, 4, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4 - 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 9. Let r be 4\/(-12) - 44\/(-6). Let y be o(r). What is the closest to 1\/4 in -2, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 15, -b = 3*b + 4*p - 76. Let k = 76 + -40. What is the highest common factor of b and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/131 + -9803\/2620. Let f = -3 - -33. Calculate the common denominator of (-237)\/f + 2\/5 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d + 5*d)*(0 - 4 - 1).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502529?\nAnswer: 163, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 9, 1\/3, -3\/107, -4, 0, 0.11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2303 = -x, -2*x - 2*y + 6602 = 2020. Let z = -36807\/16 + x. Find the common denominator of z and -131\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13 (b) 2 (c) 1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 11, -169, -545, -1189?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 24 + (-1582 - -1585) + 31.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 6, 8 in descending order.\nAnswer: 8, 6, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10201872 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9778, 19525, 29266, 39001?\n\"Answer: -3*i**2 + 9756*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 2*q**2 + 2*q - 1. Let t be v(1). Let o = 0.05 + 0.05. Let g = 0.2 - o. Which is the nearest to g? (a) 4 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccp when four letters picked without replacement from {c: 8, a: 5, j: 2, r: 1, p: 2}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100508465?\nAnswer: 5, 37, 543289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -96 + (13 - -19).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21729, -21816, -21961, -22164?\n\"Answer: -29*o**2 - 21700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.915 + -26. Let z = h - 0.425. Let p = z + 0.21. What is the second biggest value in p, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*o - 54. Let x = 28 - o. Let f be 1\/((-1)\/x) - (-23 + -8). Solve 2*v + v = 5*b - f, b + 8 = -3*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = -3*c - 0*z, 5*z = -5. Let r(i) = i + 15. Calculate the least common multiple of 1 and r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*d + 5*i + 3, 0 = 4*d + 2*i + 8. Is (3765\/(-30))\/(d\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1126683 by 375561.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.27. What is the third biggest value in -1\/6, x, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5764.44205 rounded to 0 decimal places?\nAnswer: -5764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p - 23 = 334. What is the smallest value in 1, 4, 1\/3, p, 4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:33 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*u = 1, u + 5 + 6 = 4*t. Let y be -2 - (-1 - (-44)\/(-4)). Let l(h) = -5*h - 2 + 0*h**2 + y*h - 9*h + h**2. Determine l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145221\/4 > 36305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/372*(6438\/261)\/(2\/(-9))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.7 - -1.7. Which is the nearest to -2\/9? (a) k (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12489110 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246145 (base 8) in base 5?\nAnswer: 210342100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -49. Suppose -z = 4*z - t. Suppose 5*r = 2*q + 2, 0*q - 3*q = -z*r + 3. Solve 0 = -p - r*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1578 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2*t - 13. Let h be k(-5). Suppose 3*s - 6*s + 5*u + 189 = 0, -5*s - h*u + 346 = 0. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpnp. What is prob of picking 1 d and 2 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4278167 + -4?\nAnswer: -4278172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 3, e: 3, m: 1, w: 1, a: 2}. Give prob of picking 2 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21)\/(y*y**4*y))\/(y**(2\/7)\/y)**(-4\/25) assuming y is positive.\nAnswer: y**(-949\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22399, -22319, -22171, -21943, -21623?\n\"Answer: 2*q**3 + 22*q**2 - 22423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*q - 12*q + 9*q to h + t*q and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/12 - 5*z**4\/12 + 80*z**3\/3 + z**2 - 121*z. Differentiate t(l) with respect to l.\nAnswer: -10*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -3 + 2 - -72. Let m = z - 206\/3. Let w(p) = -p + 53. Let u be w(58). Which is the third biggest value? (a) 0.2 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2. Let b(w) = 0*w**2 + 2*w**2 - 5*w**2 + 2*w**2. Determine b(o) - 2*x(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93536\/180495 - -2\/6685. Let f = z + -520\/1107. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*x - 30 = 0, -2*q - 5*x + 2*x = -32. Calculate the lowest common multiple of 2 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) -6028299 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 18. Let t = n - -2. Let v be t + (20\/8)\/(-5). What is the closest to 0.1 in 3, v, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1308a1 - 1?\nAnswer: -1308a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75219 is divided by 396.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 15*b + 17. What is x(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 31895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 - 9*j + 111. Let m be x(6). What is the greatest common divisor of 1975 and m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2, r: 1}. Give prob of sequence er.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:23 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431 + 214 = 54*n - 426 + 261 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -3402?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6781, -3\/7, -1998 in increasing order.\nAnswer: -1998, -3\/7, 6781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1170.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 5, 11, 1\/4, 1323?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286777 - 195303. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3451468?\nAnswer: 2, 283, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 109649060 to the power of 1\/2, to the nearest integer?\nAnswer: 10471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 3*b**2 - 5*b**2 + 2*b - 4 + b**2. Let h be u(4). What is the common denominator of -133\/30 and (h\/(-18))\/(3 - (-70)\/(-25))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 7*f - 3*n - 1, 185*f - 2*n + 5 = 188*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 11. Determine z(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + r - 3*r - 26, -70 = -2*g - 2*r. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcrklrllcrrlrrcrrr. What is prob of sequence klc?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103925, 207346, 310791, 414272, 517801, 621390?\nAnswer: 725051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 482205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**3 + 15*z**2 + 125*z - 348. What are the prime factors of g(15)?\nAnswer: 2, 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/5559991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0. Let t be 4\/(-14) - 66\/14. What is the third smallest value in t, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 24. Suppose 0 + g = -2*h. Let v = 3 - h. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let c(r) = r**2 - 1307062. Give c(z(s)).\nAnswer: 4*s**2 - 1307062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 5. Factor -7\/4*j**2 - z - 4*j.\nAnswer: -(j + 2)*(7*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 16082765?\nAnswer: 2\/16082765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -80*p - 483. What is a(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b**3 + 5*b**2 - 222 + 0*b - 109\/2*b**4. What is the second derivative of o(u) wrt u?\nAnswer: -1308*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/((-147)\/(-105)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+3.252742054\nAnswer: 2.552742054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139110 + 12227. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 6\/7, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 110 - 85. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128576, -257163, -385750?\nAnswer: -514337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341038 by 8318.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 + 2*g + 4. Let x be n(-6). Let i = 6 + x. Suppose -t - 3 = -i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 88. Let c(h) = 4*h + 87. Give 7*c(a) + 6*d(a).\nAnswer: -2*a + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -2.5. Let q = m - -1.52. Let b = -0.32 + q. What is the third biggest value in -5, b, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000111101010 - 1100?\nAnswer: -10110000111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 93.5497, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 18 = -b. Sort 5, b, -5, -1 in ascending order.\nAnswer: -5, b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -19. Let z = q + 1. Let f = 6.9 + -8.9. Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(26\/78)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 106*a**2 - 332*a - 555. Calculate h(-109).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027516 rounded to seven decimal places?\nAnswer: 0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 y when three letters picked without replacement from ggynyynynyynygg.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*x = 9, 3*b = -4*x - 2 + 12. Let v be (-1 - -2) + 4\/2. Suppose 5*h - 19 = b*q, -h - 5*q + 2*q - v = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 10 = -2*h, -3*r + 20 = -4*h. Let b = r - -99. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 4. Suppose 4*d = -4*i + 120, -75 = -0*d - 3*d + 2*i. What is the remainder when d is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + (6 - (3 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4566123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 447 and 78.\nAnswer: 11622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422, 437, 464, 509, 578, 677?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57130 (base 8) to base 11.\nAnswer: 17167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueo when three letters picked without replacement from uoouoozouzqeuz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 20 + 40. Suppose -z - 14 = 5*b, -3*z + j*b + 43 - 5 = 0. Solve q - 5 = z*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630331448?\nAnswer: 2, 78791431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1357 - 1351. Let v be 23 + 1 + 0 + 2. Suppose -4*z - v = 3*u - j*u, -17 = 4*u + 5*z. Solve -5*i - 3*m - 13 = 0, i + 9 = u*m - m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w. Let l(r) = -13*r**2 - 19*r**2 + 3125 - 3125 + 3*r. Calculate l(m) + 3*u(m).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*j**2 + 18 + 5*j - j**3 + 134*j**2 - 3*j to k + g*j + c*j**3 + t*j**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 767542.1mm in nanometers?\nAnswer: 767542100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 19 + 51 = 5*q, -5*q - 1104 = -0*q - 1134 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/15)\/(6\/(-20)). Let f be (-6)\/4*(-240)\/18. What is the greatest common divisor of d and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 3 - 3)*((0 + 0 - 2)*(-3 + 1 + 0) + 1 + 0 - 3)*(-1 - 3 + 2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 17*b**3 + 14*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g)*(g - 3 + 3) - 2*g**2 + 3*g**2 + g**2 - 63872*g + 409*g**2 + 63872*g - g**2 + 2 - 2.\nAnswer: 409*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -8*x**2 - 11 - 2\/3*x**6 + 24\/5*x**5 + 16*x**3 - 13*x**4 + 0*x. Factor o(u).\nAnswer: -4*u*(u - 2)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*a + 16. Let l be (-5)\/(5\/a) - -3. What is the units digit of 0 + 0\/l - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 2*w**3 + 0*w)*(3 - 3 + 2*w) + 4*w**4 + 1979*w**3 - 1979*w**3 - 8 to the form f*w**4 + k*w**2 + m + j*w + r*w**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 75*q. Let w(p) be the second derivative of p**5\/60 + p**3\/3 - 26*p**2 + 2*p + 7. Let j(z) be the second derivative of w(z). Give j(g(o)).\nAnswer: 150*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 151.192. Let s = o + -0.19042. Round s to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*x = 30*x - 61*x + 14362. Suppose -3*u - 815 = -5*p, -4*p + 743 - 104 = -5*u. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 5497?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344731.88561 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7 = 3, -b - 5*d = -6. Let v(r) = -5*r - 6 + 7*r - b. List the prime factors of v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68, -128, -188, -248, -308?\n\"Answer: -60*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 7. Let d = k + 29. Let s = -73 - -81. What is the lowest common multiple of d and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/4*18\/7. Let i = -15 - t. Suppose 5*g - 2 = i*v, 2*g - 2 = -g + v. Which is smaller: -3\/16 or g?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1166 + -1166. Solve 1 = 2*y - 0*y + z, h = -3*y + z - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0273851303 to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(325) + 1 + 0 + sqrt(325))**2 + 4.\nAnswer: 60*sqrt(13) + 1313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5243)\/1284 + (-3)\/((-3)\/4). Let o be (-18)\/20 - (-4)\/10. What is the nearest to o in x, -4, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1401 - 2117. Is 4\/2 - (z - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(2\/(-4))\/((-85)\/(-102)). Let k(v) be the third derivative of -67*v**4\/24 + v**3\/3 + v**2. Is k(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 5*o**3\/3 + 8*o**2 - 29*o + 61. Is n(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.278456 + 34.253976. Let c = a + -34.807. Let r = 0.83 + c. Round r to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3 + (-14)\/6)*-11. Suppose -18*z + p*z = 32. Calculate the smallest common multiple of 10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, x: 1, e: 3, u: 2, j: 4}. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21010433.\nAnswer: 21010433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1576072 times 0.3\nAnswer: -472821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 57 - 8)*(5*m + 0*m - m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s + 2*k, 3*k + 4 = 2*s + 2*k. Suppose s = -3*t - 99 + 27. Let m = t - -43. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 5. Let w be d(-4). Let i be w\/4 - (-62)\/8. Calculate the greatest common divisor of i and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:45 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/5 + 8*t**3\/5 + 9*t**2 + 36*t\/5 = 0. What is t?\nAnswer: -3, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-105)*1*5\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 493528 times 8\nAnswer: 3948224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x + 109. Calculate the remainder when i(16) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-3)\/sqrt(11) - (sqrt(13) + 0)*-1) + (sqrt(78) - (-4*2*sqrt(78) - sqrt(78)))\/(sqrt(6) - (sqrt(6) - -1*sqrt(6))*1) + -1.\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + w**2)*(-31 - 10 + 8) - w**2 + 4*w**2 - 4*w**2.\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 23*k + 36. Let f be q(-9). Suppose 0 = -2*m - f + 79. Let s = 0.1 - -0.9. Which is the nearest to -3? (a) s (b) 3\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 18. Let o be s(13). Suppose -x - 1 = g - o, -4*x + 4 = g. Suppose -7*l + 5*y + 45 = -2*l, 3*y + 38 = g*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 1 + 4*r**2 - r**3 - r**2 - 2*r + 3*r**2 to m*r + x*r**2 + l*r**4 + p*r**3 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 514.15 + -520. Let y = j + 5.85. Which is smaller: y or -3\/70?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 54 - 54)*(-3*w + 5*w + 0*w + (-5 + w + 5)*(1 + 3 - 2) + 3*w - 16*w - 9*w + (5 + 0 - 4)*(0*w + 0*w + 2*w)) as p*w**2 + y*w + k and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) -1 (b) 2\/9 (c) -0.007 (d) -3 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) -4\/7 (d) -1 (e) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -431*n**4 + 2*n**3 - 43044*n**2 wrt n.\nAnswer: -10344*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*j - 3*f, 16294*f = 3*j + 16299*f + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w = -1. Suppose 2*n - 4 = -0. Let v(s) = -2*s**3 + 3*s**3 - w + 4*s - 4*s**2 - n. Calculate v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 15*b**2 - 8*b - 1. Let p be f(20). Suppose 0 = 22*u - 273 - p. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -1335, -4554, -10833, -21192?\nAnswer: -36651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35756?\nAnswer: 2, 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*g**5 + 336*g**4 + 62*g**3 - 136*g**2 + 6*g + 12.\nAnswer: -2280*g**2 + 8064*g + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 4)*((-38)\/(-190))\/((-2)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 5. Is 3\/5 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59268868?\nAnswer: 2, 17, 127, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*3*(-2625)\/(-1260).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113687798 rounded to 3 decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16739964.\nAnswer: 2, 3, 464999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15095135 and -0.035.\nAnswer: 15095134.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45411318, 45411331, 45411352, 45411381, 45411418, 45411463?\n\"Answer: 4*s**2 + s + 45411313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344287417 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-10))\/(s**(-3\/2)*s))\/(s**(-2))**(-47) assuming s is positive.\nAnswer: s**(-205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 5\/16*o**4 - 1\/2*o**2 + 1\/20*o**5 - 5\/12*o**3 - 1\/24*o**6 + o + 56. Suppose l(g) = 0. Calculate g.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**8\/f))\/(f\/(f*(f*f\/((f\/f**(-3\/5))\/f)*f)\/f*f))*(f*f**(-3)*f)**(-34\/3) assuming f is positive.\nAnswer: f**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95558219 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/1)\/(3\/42). Let p be (-6)\/(-4) - (-7)\/w. Suppose -p*v = -6*v. Solve -6 = 3*y - u, v = 5*y - 3*u - 3 + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304369 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 + 66*p**2 + 4*p**3 - 6*p**4 - 67*p**2 + p as a*p**3 + f*p**2 + k + h*p**4 + b*p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let y(d) be the second derivative of d**6\/90 + 5*d**4\/4 + 27*d. Let m(s) be the third derivative of y(s). What is n(m(f))?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/28*-1*32\/(-12). What is the closest to i in -2\/3, 0.5, 6, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 71993*d**2.\nAnswer: -d**2*(d - 71993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004674 rounded to six decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, a: 2}. What is prob of sequence aau?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*o + 8578 + 462*o - 8578 to b*o + m and give b.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 126 = 2*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9*-15)\/3*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265500*u**2 + 796480*u**2 - 265473*u**2 - 265505*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 18. Let d(h) = 6*h - 3. Let j be d(1). What is the lowest common multiple of 43 and f(j)?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 21*p**2 + 35*p - 16. Let o(k) = -k + 2. Let i(g) = -b(g) + 5*o(g). Is i(-22) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24956 = -553*d - 2283 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15265 * -0.4.\nAnswer: -0.06106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose -4*j + 132 = 4*p, -p + 4*j - 11 + 44 = 0. Let w = q + p. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1. Suppose -4*j + 0 = -4. Let t be (1 - j)\/3 - -3. Let n(c) = -1 - 1 - c - 2. Calculate t*y(i) - n(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:14 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let j = 6 - 12. Let s(o) = -o**2 + 16*o - 21. Let m be s(14). Let v = m + -6. Let d(y) = 7*y**2 - y + 1. Determine j*f(g) + v*d(g).\nAnswer: g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373 - 224. Round x to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = -2*r + 5*r. Suppose r = -9*i - 297. Calculate the remainder when 83 is divided by (-1 + 4)*i\/(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0188120612 and -16102.18.\nAnswer: -16102.1611879388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13573\/4 - -1289567\/380. What is the common denominator of q and -111\/50?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 9384936?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b046 + -34?\nAnswer: -4b07a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/15 + (-16)\/5. Let q be (z\/(-10) + 0)\/(51\/408). Factor -8\/5*a + 2\/5*a**4 - q*a**3 + 12\/5*a**2 + 2\/5.\nAnswer: 2*(a - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5508535 and 7375.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 + -230 + (-3 - 31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o = 56*o + 162 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 342?\nAnswer: -11970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53950, 108587, 163220, 217849, 272474?\nAnswer: 327095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*x - 5 = 0, -3*l - 2*l - 4*x + 11 = 0. Let d = -2 + 4. Let y(t) = -21*t - 523. Let v be y(-25). Solve -l*p + v = -d*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/84)\/(5\/10). Sort -0.5, -38, o in decreasing order.\nAnswer: o, -0.5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1)\/((-1)\/(-12)). Solve -16 = -5*x + 5*q + b, -2*q - 25 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (-3)\/((-12)\/8). Suppose o*j - 294 + 114 = 0. Suppose -1 = m, 2*x - m - j = 2. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 195 = -0*r. Let o = -25 - r. Suppose -b + 57 + 35 = 5*u, 2*b + o = u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -2.6. Let m = s + 2.8. Is -0.1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/8 + 683*f**2\/2 - 2486933*f\/8 + 377148917\/4 = 0.\nAnswer: 874, 929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4554 (base 7) to base 3.\nAnswer: 2021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 20. Give r(-21).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522551 (base 6) in base 13?\nAnswer: -31537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -588, -1143, -1686, -2211, -2712, -3183, -3618?\nAnswer: -4011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -1\/2*n**2 + n + 43 + 2\/3*n**3 + 1\/2*n**4. Suppose 3*p + 5 + 1 = 0. What is w(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {i: 2, c: 4, y: 7, e: 1}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 401715.9 milligrams?\nAnswer: 0.0004017159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33780853 to the nearest integer?\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2119*n - 34177 - 37714 = 360*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 13*q**2. Let a be 6*(-3)\/(27\/(-3)). Suppose -a*o + 8*o = -6. What is u(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13465?\nAnswer: 5, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61150919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 - 4*f - 2. Suppose -4*x = -3*x - 5*m - 17, 10 = -2*x - m. Let c be g(x). Is c < 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(99) - (sqrt(99) - sqrt(99)*1*5))\/(sqrt(81)\/(sqrt(9) - sqrt(144))).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m - 22. List the prime factors of w(8).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 66. Suppose 12*g - 9*g - 6 = l. Suppose 2*c + 4*k = -10, g*c - 4*k = -0*k + 22. What is the fourth biggest value in c, 6, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 394\/(-336) - 2\/7. Let x = -1009\/264 - h. Calculate the common denominator of ((-15)\/9 + 2)*-29 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 + c. Suppose 3*w - 4 - 2 = 0. Let g be j(w). Put g, 1, -6 in descending order.\nAnswer: 1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708201.\nAnswer: 2708201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-18)*(0 + 16). Let o = -24 + c. Let s be (-5 + 1)*(o + -1). Solve -s*u + u = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 10. Suppose -2*x + 7 = j*x - o, -x = 3*o - 18. Let c be (-4)\/20*(-5)\/3. Sort x, -5, c in decreasing order.\nAnswer: x, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -877*o - 7011. Give u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r, 5*l - 13*r + 14*r - 15 = 0. What are the prime factors of -4 - (51\/(-85))\/(l\/2110)?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 4*m**3\/3 - 109. Suppose -3*p = h - 4 - 5, p = -2*h + 13. Let o be (-1)\/(-4) + h\/8. What is x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/165*(-14)\/4)\/(2\/6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 835320 divided by 20.\nAnswer: 41766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h**2 - 2*h**2. Let m(i) = -10*i. What is v(m(f))?\nAnswer: -200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 - 16*x**2 - 12*x - 10. What is q(-6)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 45*b**2 - 2*b + 2. Let i(d) = -3*d**3 - 134*d**2 + 7*d - 7. Determine -2*i(s) - 7*m(s).\nAnswer: -s**3 - 47*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -29*q + 835. What is the remainder when m(28) is divided by ((-102)\/(-9))\/((-16)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -600200 to the nearest 10000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157*g**3*p**3 + g*p**3 + p**3 with respect to g.\nAnswer: -471*g**2*p**3 + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 447505 <= -3887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -36 + 104*d**2 + 21 + 6 + 9. Let p(r) = -6*r. Give p(a(g)).\nAnswer: -624*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let g be l(-3). Let t = g + 7. Suppose 0 = -t*k + 5*w + 21, -k - k + 13 = -3*w. What is the third smallest value in -2\/9, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 1 - 528*n**2 - 519*n**2 + 7*n + 1051*n**2.\nAnswer: 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 94. Let u = 100 - n. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 3. Let g be y(-3). Let b = 17 + g. Solve 5*o + 25 = -4*i, 0*i - 15 = b*i + 3*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(0 + 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -2 - 1\/(2\/(-10)). Suppose 2*i - 3*v = 293, -4*i + 654 = d*v + 113. List the prime factors of i.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 7. Let h be 0 + (-6)\/(-30) - 0\/1. Let f = -0.9 + 1. Which is the nearest to y? (a) h (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*j**3 - 9747\/2 - 1398*j**2 - 6327*j - 1\/2*j**4.\nAnswer: -(j - 57)**2*(j + 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23237 is divided by 5807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14600562 (base 7) to base 11.\nAnswer: -873318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 11:22 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 60*t**2 - 114*t - 56.\nAnswer: -2*(t + 1)**2*(t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/6, 0.045, 1\/6, 1\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/11*(-15)\/(1035\/(-23)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 3*q + 2. Let o be u(-6). Let b be (o\/10 + -1)*5. Let w be 4\/(-6) - (-23)\/3. Solve 4*f - b = 5*i + 3*f, -i - w = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*8\/(-672)*((-12)\/168)\/(30\/(-63))?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9416*p + 1142*p = 4967*p - 1549197 for p.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9646856 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3985, -3925, -3827, -3697, -3541?\n\"Answer: -k**3 + 25*k**2 - 8*k - 4001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1157\/3, -2.38, -5?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2013193 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*n - 1. Suppose 0*i - i + 3*l + 41 = 0, -n*i - 3*l = -82. Let w(k) = k**3 - k**2 - k + 14. What is the remainder when i is divided by w(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3800612 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100011011 - -1021?\nAnswer: -100002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262.13 + 8.13. Let m = 256 + v. Let g = -0.7 + 0.4. What is the closest to m in g, 2\/13, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 1. Let u(s) = -4*s**3 - 7*s**3 + 6 + 4*s**3. Let a be 12\/(-3) + -336 + 10. Let z = -331 - a. Determine z*u(w) + 6*b(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Suppose -12 + 0 = -s*i. Solve -i*m + 2*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*j + 1120*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40*1*(-7)\/14. Let j = 31 + t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - 2*y)*(5*y - 2*y - y) - y**2 + 4*y - 4*y - 3*y**2 + 0*y + 0*y + (4*y + y - 3*y)*(y + 0*y - 2*y) + y - y**2 - y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*i**3 + 765*i**2 + 1837*i - 2613 = 0. What is i?\nAnswer: -67, -39\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {r: 4, z: 11, d: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 104437.5822s?\nAnswer: 0.1726811875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x + 3*x - 2*s, -s - 1 = 3*x. Suppose x - 9 = -3*u. Is 7 a factor of 13 + 0 + -2 + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46227624 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 5*z - 8*z)*(327*z - 168*z + 938 - 158*z).\nAnswer: -9*z**2 - 8442*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 - 4*w**3\/3 - 67*w**2\/3 + 70*w\/3.\nAnswer: w*(w - 10)*(w - 1)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1310231314 - 11?\nAnswer: 1310231303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-7)*(-105)\/15. Suppose 4*x = -i - h - 2, -i - 2*x = 10. Solve i = -c - 2 + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 152, 313, 530, 821, 1204?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 122.96. Let i = x + 6. Put i, -0.4, 4\/5 in decreasing order.\nAnswer: 4\/5, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 2*i - 4*i)*(-1 - 4*i - 2*i + 8*i) to x*i + d*i**2 + m and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-7 + 4 + 7)) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13571, -26774, -39613, -52088, -64199, -75946, -87329?\nAnswer: -98348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/50*10 - 4. Calculate the smallest common multiple of ((-2820)\/329)\/((-2)\/7) - v and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1157*b - 1152*b - 19 = 0, w - 13 = -3*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442 (base 7) to base 16.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(9 - (-837)\/(-90))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -5*w - 5*p, 0 = w + 4*p + 3. Let d = -14447 + 14446. Which is the closest to d? (a) w (b) -0.5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -7*s + 2*u, -2*u = 4*s - 4. Let j = -11 + 16. Let o = -8 + j. Sort o, -2, s.\nAnswer: o, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1120 = -12*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 27*v - 31. Let r be g(20). Suppose -5*f = -r - 1566. Let d = -139 + f. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 - -14)*(2 - 1). Let q = -30 + 34. Let z = -1\/100 + -247\/300. Which is the biggest value? (a) z (b) -1 (c) w (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208256621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -967 + 961. Let r(g) = -g**3 - 5*g**2 + 4*g - 6. Calculate r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301138373.\nAnswer: 301138373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + sqrt(224) + 1*sqrt(224) - sqrt(224))*-6)\/(sqrt(1008)*2 - 1*sqrt(112)).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45257 and 42084.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(242))**2 + sqrt(242) + -4.\nAnswer: 11*sqrt(2) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -40. Let v = 49.1 - o. Which is the nearest to -0.1? (a) 8 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54889214.6842 plus 12.4?\nAnswer: -54889202.2842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 - 15*h - 5. Let b be n(8). Suppose z + 21 = 4*o + 4*z, o = -b*z + 12. Solve o*t - a + 10 = 4*a, 8 = 3*t + 4*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*f*h**4 + 20*f + 29*h - 86 wrt h.\nAnswer: -92*f*h**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77429240 or -77429242?\nAnswer: -77429242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 13*v + 14. Let j be m(10). Let o = 163 + j. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -5) + (7 - 7) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164249 is divided by 1712.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/58 and 40\/9.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2520 or -2519?\nAnswer: -2519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/17 - 9794*t\/17 + 979020\/17.\nAnswer: -2*(t - 98)*(t + 4995)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, -4, -7\/24, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 29*z**2 - 9*z - 20. Let c(n) = -2*n**2 - n - 2. Let p(s) = b(s) - 9*c(s). Let u(y) = 2*y. What is p(u(o))?\nAnswer: 188*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38.79? (a) -3\/17 (b) 4 (c) -2\/71 (d) 4\/7 (e) -3\/2 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i + 1. Let o(p) = -24*p - 20. Give -o(v) + 5*z(v).\nAnswer: 4*v + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(847) - 1*(-1 + sqrt(252)))**2.\nAnswer: -32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x + 12. Let d = -0.255 + 0.255. What is the nearest to 0 in x, d, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(-2)*j))\/(j*j\/j**(-3\/7))*(j**(-1))**(-46) assuming j is positive.\nAnswer: j**(277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 15. Let r be g(11). Suppose 3 + 246 = -4*z - 3*u, -2*z = -5*u + 131. Let v = 64 + z. Solve -v = -3*l - 13, -l = -2*b + r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b. Is b < -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.596 and -0.992.\nAnswer: 0.591232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 1)*(2 - 2 + 4) + (-3 + 3 + 2)*(0 - 5 + 3) - 24 + 2 - 18 + (3 + 0 - 4)*(1 - 3 + 4))*(k + 3*k - 5*k) as v*k + d and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 268041613 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052*w - 1766*w - 24779 - 20309 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, -711, 5 in ascending order.\nAnswer: -711, -18, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7 - 1) + (16 + -29 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4609887, -4609886, -4609885, -4609884, -4609883, -4609882?\nAnswer: -4609881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 31 = 221 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w**2 - 51*w**3 - 7*w**2 - 133*w**3 - 35*w**2.\nAnswer: -184*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/o*(o**8*o)\/o)**(-12\/13)\/(o\/o**6*o*(o\/(o**(2\/5)*o)*o*o)\/o*o**7\/o**(2\/5)) assuming o is positive.\nAnswer: o**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/420 and 159\/1820.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7424 is divided by 449.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2218165 and 0.2?\nAnswer: 0.2443633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-10)*(-50)\/(-15) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877, 1131, 1385, 1639, 1893?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -152016 (base 8) to base 12\nAnswer: -274ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 211*p**4 + 212*p**4 + 11 - 14 to b + i*p**4 + f*p**3 + x*p**2 + o*p and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -238992*h. Let j(z) = -2*z**2. Determine m(j(u)).\nAnswer: 477984*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from qqxkkkxxqqkqkkqxkqkx?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 - 19. Let l = y + 2002. List the prime factors of l\/15 - 5\/(-1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 - 415*z + 2*z**2 + 415*z - 25.\nAnswer: 2*(z - 3)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 0)**2 + -1.\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14126745 is divided by 496.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1926*i - 117*i + 838*i + 0 + 760*i + 1)*(-4*i - 6*i + 4*i).\nAnswer: -20442*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -5 + 5 + -13 - -30) + 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 7, p: 2, j: 8}. Give prob of sequence pc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.82 minus 550291.5?\nAnswer: -550564.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/360 and 187\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3\/7 - 13556*b**2\/7 - 1565728*b + 899947200\/7 = 0?\nAnswer: -1732, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1351 (base 8) to base 10\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from jskjsssksssss?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - l = -585, 5*l = 2*u - 432 + 145. What is the greatest common divisor of 5986 and u?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 231726*i - 231727*i + 56 = 0, -m - i = -14 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78\/7 or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -525 or -11002\/21?\nAnswer: -11002\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -118, -173, -228, -283?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 391 - 47 - 2*3. Let r = 349 - d. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5.13 (c) 0.5 (d) -1.5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1)\/(4\/4))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1969 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2 - 2705992*i = 0.\nAnswer: 0, 676498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Suppose i = 3*g - 5*g. Suppose 2*j = -g*j + 36. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 40*v = -36. Suppose -30 + 12 = -v*m. Let c(y) = -3*y + 2. Give c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let t(c) be the third derivative of c**7\/840 + c**4\/24 + 3*c**2. Let q(b) be the second derivative of t(b). What is n(q(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147772 is divided by 73836.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 5 = 18*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (-11 - 0\/(-11)). Sort i, 2, -113, -3 in ascending order.\nAnswer: -113, -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 315 - 251. What is the highest common divisor of 512 and v?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - (-5 + 3) - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 25 = 0. Let k = -32 - -51. Suppose -2*f + k = -3*m, m + 6*f - f + 12 = 0. Put 0, m, j in ascending order.\nAnswer: m, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = -5*w - 18, c + 8 = -w. Let z be 2\/c - 2\/(-11). Solve 4*g + 0*g + 12 = z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 9*d + 23*d + 16*d.\nAnswer: 48*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27986 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17694945 and 20325?\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - (-14 + -16)) + 275. Calculate the highest common divisor of 1376 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 20304*w\/7 + 40616\/7.\nAnswer: -2*(w - 10154)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 15*s**2 - 5*s + 19. Let g be j(-7). Let p(c) be the first derivative of 22*c**2 + 14*c + 2. Does 25 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Suppose -2*v + 2 = 0, -3*p = 5*v - 17 - 27. Let a(n) = -p + n + 13. What is b(a(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 160 = -60. Suppose -2*u = -4*u + 10. Suppose u*v - 32 + n = 0. Solve -2*l + v + 8 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -78. Solve 2*u + 2 = -m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -51?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*((-1)\/(3 - 2))\/1. Suppose -i*x + 15 = -2*x. Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52090967 by -1.\nAnswer: -52090967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.5 + 19. Let t = 24 + -26. Let k = -25 - -28. What is the third smallest value in k, t, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5359115 is divided by 1354.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 12327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331659065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665468504?\nAnswer: 2, 229, 233, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 3*l**5\/10 - 7*l**4\/24 + 11*l**3\/6 + 5*l**2. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1448, 1 in ascending order.\nAnswer: -1448, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45.48892ml?\nAnswer: 0.04548892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561178 is divided by 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjybkpkpkyyykmj. What is prob of sequence yy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 1. Let a(f) = -18*f + 14. Let v(u) = 6*u - 5. Suppose 3*b - 32 = -4*t, -2*b - 10 = -2. Let z(m) = t*v(m) + 4*a(m). Give 2*o(c) + 3*z(c).\nAnswer: -8*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(41\/2)\/(((a\/(a*a\/((a*a\/(a*(a*a**(-2))\/a*a))\/a))*a)\/a)\/a**2) assuming a is positive.\nAnswer: a**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1223, -1366, -1575, -1826, -2095, -2358, -2591, -2770?\nAnswer: -2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 1. Let r be k(-2). Suppose -2*i = 2*x + 14, 5*x = -2*i + 6*i + 10. Sort r, -4, x.\nAnswer: -4, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/3, 1\/3 in increasing order.\nAnswer: -5\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - j - 1 = 0, 29 = -4*d - 18*j + 13*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -2 + (-3368 - -3351)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 101*b**6\/6 + 2*b**3\/3 + 9*b**2 - 206. Find the second derivative of g(i) wrt i.\nAnswer: 2020*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + t + 5*t + 2*t + 3*t + t + (-t + 1 - 1)*(-2 - 4 + 4))*(-541*t + 519*t + 2*t**2 - 1 - 5*t**2) as s*t**2 + f + m*t**3 + q*t and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4834*a**2 + 2*a - 1. Let d be r(-2). Suppose d = 5*o - 4269. Suppose -4*q + 0*q = -o. Round q to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 6*b. Let h be 0\/(4\/(0 + (b - 1))). Solve 0 = u - h + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5222.171*-6.\nAnswer: -31333.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10265112 divided by -997.\nAnswer: 10296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 10\/31, -0.4, -0.318, 2\/3 in descending order.\nAnswer: 2\/3, 10\/31, 0.2, -0.318, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1844 = 3*h. Suppose 5*d = -3*k + 148 + h, d + 5*k = 113. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13063896 - -6563896. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452604070 to the power of 1\/2, to the nearest integer?\nAnswer: 21274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2089050 is divided by 1044455?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 12. Suppose 43*q - 39*q = h. Solve -4 - 4 = q*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - -83a?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(1008)*-1 - sqrt(49)\/sqrt(112))*5*-5)**2.\nAnswer: 8859375\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591447659 to the power of 1\/3, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 24. Suppose 3*f - 3*h - 39 = 0, -h = -2*f + 3*h + 18. Let x = g - f. Solve x = 3*a, -5*q + a + 0*a = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, -4, -5, -3 in increasing order.\nAnswer: -5, -4, -3, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 1 - 1 + 0 - v**2.\nAnswer: -v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:25 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/120*4)\/(21\/(-112))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 13*r. Let b be z(-4). Solve 4*s = -3*q - 3, b*s + 2 = -2*q + 6*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 238 + 234 = 0. Solve g*l - 2*z = -16, 3 = -2*l + 4*z + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 3*g)*(-3 - 39 + 19) + 11*g - 32*g - 13*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53820723 to the nearest integer?\nAnswer: 7336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4183*k + 29298 - 49757 - 247253 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.751 and -0.5130082501.\nAnswer: 0.2379917499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.877*-0.164.\nAnswer: -0.143828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-696)*(-100)\/375*15\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18220450*z - 22880 = 18220242*z for z.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275.9 - -276. Suppose 0 = -d + 3 + 1. Suppose 2*m = -d*z, -5*z + 0 = m + 6. Which is the nearest to 0.1? (a) m (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 2 + 2 + 19*k - 35*k - 43*k.\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 30. Let x be p(37). Let k be x\/(-3) - (-4 - (-20)\/6). Solve k*y = 9 - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*t + 2 = 5*i - 65*t, -2*i = 3*t - 3. Is -1\/27218 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, y: 4, m: 3}. What is prob of sequence ymym?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 34*k - 90. Does 28 divide i(-58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -6*h**4 + 2680*h**3 - 25322*h**2 - 10528*h + 17480 = 0.\nAnswer: -1, 2\/3, 10, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - 15) + (-9 - 41)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5197*q + 31186. Give i(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*f - 143. Calculate the lowest common multiple of 12 and -5*(-3 - f\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*s - 166, -3*w - 3*s + 124 = s. Suppose -12*t + 451 - 187 = 0. Calculate the highest common divisor of t and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 90. Let t be (-1)\/(-2) - b\/12. Solve t - 7 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2. Suppose i + 5*c - 8 = 0, 3*i - 3*c = 2*c + 4. Let l(d) = 7*d**2 - 2*d**2 + i*d**2. Calculate j(l(h)).\nAnswer: 128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 7*a**2 + 11*a**2 + 2 in the form r*a + k + b*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*m - 23. Find the second derivative of -37*u - 33*u + m*u + 96*u**3 wrt u.\nAnswer: 576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450 + 3*g + 425 + 25.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 1.663252265.\nAnswer: -1.463252265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6592972*h**3 - 4980274*h?\nAnswer: -39557832*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**3 - 2*w + 1. Let t be p(1). Suppose 0 = a - 4*o - t, 18 = 5*a - 5*o - 7. Let q be 7 + a\/(-6)*4. Solve -q*v - 36 + 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 4.33 (c) 3\/4 (d) 0.4 (e) 2\/65 (f) 0.2 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40101*a + 22274*a + 23465*a)*(2*a**3 - 5*a**3 + 0*a**3).\nAnswer: -16914*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -160*o + 7. Let t(b) = -107*b + 4. Calculate 8*t(j) - 5*y(j).\nAnswer: -56*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33165 divided by 3?\nAnswer: -11055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/76 and -47\/7468.\nAnswer: 141892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3210 and 21188782?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + i + 7 + 28 = 0, 4*i - 20 = 0. Let j be q + -1*(-6)\/(-2). Let -1 + f - 2 + 2*f**2 - j*f - 5*f**2 = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from oaoaaajoaaoajjoa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1329 + -1269 + 2 + -16?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334618905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 11*n**4 + 557 + 13*n**4 - 2*n - 527 to the form w + a*n + g*n**2 + t*n**3 + l*n**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0 - 4*v + 8*v**3 + 1 - 7*v**3. Let l be -9 + 4 - (1 + 0). Let k(a) = 2*a - a**3 + 3*a + 0*a - 1. Give l*m(i) - 5*k(i).\nAnswer: -i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byyy when four letters picked without replacement from aybabababayayyaa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**5 + 3*l - 2*l**5 + 6*l**5 + 9*l wrt l?\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 6 + 3 - 5*z**3 + 5 - z to the form h*z**2 + m*z**3 + d*z + j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1337 - -1361. Solve -66 + i = 21*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(z - 7*z + 2*z) - 5 + 5 - z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -104 in 2, -2\/175, 2\/15, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009522209 to 7 dps.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 - 85 = 19*o - 68 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 4*f + 1 + f**2 + 4*f. Let i be n(-4). Let h be i\/6*(-3)\/(-2). Which is the third biggest value? (a) -0.1 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001182555777 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n = 578. Suppose -3*d = 4*r + 436, d + d + 3*r + n = 0. Let m = d + 214. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 704 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/27, 497, -0.2, 5\/4, 0.3 in descending order.\nAnswer: 497, 5\/4, 0.3, -2\/27, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8572*d*x**2 - 2*d*x - 2*d - 3*x**2 + x + 215561 wrt x.\nAnswer: 17144*d*x - 2*d - 6*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(3*l + 3*l**2 + 2*l - 4*l**2) to r*l + h + j*l**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349682 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/68)\/((-32)\/(20224\/1106)).\nAnswer: -26\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 21. Let p be w(-18). Is p*1 - (-270 + 14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 23 = -5*j, 5*c - 142 = 2*j. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (304\/(-48) + 3)*(-6)\/5. Solve -7*a + 4*a = -5*k + 20, 0 = o*k - 5*a - 29 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 218, 143, 50, -67, -214, -397?\n\"Answer: -z**3 - 3*z**2 - 59*z + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48850 - 48848. Let g = -1 - -2. Let m = -1 + g. Which is the closest to -0.1? (a) m (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 782. Let o be u(0). Suppose 20*h = 14538 + o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let z(j) be the third derivative of 0*j + 0*j**3 + 1\/12*j**4 + 0 - 2*j**2. Give n(z(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0599467 decades to months.\nAnswer: 7.193604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 3\/17, -0.4 in descending order.\nAnswer: 7, 3\/17, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + c = -4*h + 37, 5*h = 4*c + 112. Suppose -18*y = -4*i - 20*y + 120, 90 = 3*i - y. Calculate the greatest common divisor of h and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/407 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.917 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j**3))*j**(-1\/16))**(-4\/21)*(j\/j**8*j**(8\/5)*j)**(9\/4) assuming j is positive.\nAnswer: j**(-4553\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -258121 (base 16) in base 6?\nAnswer: -124403041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24161315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*39\/6 - 1. Let m = g + 10. Put -1, m, -5 in increasing order.\nAnswer: -5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 43 + 187. Let g = 27 + -23. Solve 0*y - h = g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) + -3*2*sqrt(13) + sqrt(91)\/(sqrt(112) - sqrt(7) - sqrt(7)) + sqrt(13))**2 + -2 - 2*(-4 + -1 + sqrt(13) + sqrt(13) - (4 + 1 + sqrt(13)))).\nAnswer: -2*sqrt(13) + 709\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.43 - -12.3. Let y = -0.13 - j. Let g = 2 - 0. Which is the third smallest value? (a) -5 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 3. Let a be c(0). Let g be (a + -1)\/(1 - -1). Sort g, -1\/7, -4 in ascending order.\nAnswer: -4, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2758*h + 85*h**2 - 2758*h)*(-2*h**2 - 2*h + 2*h).\nAnswer: -170*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 4. Suppose q*l + l = 6. What is the third derivative of -l*z**4 - 3*z**2 + 4*z**2 - z**4 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 435, 449, 463?\n\"Answer: 14*k + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2328 = 5*v - 2*l, 3*l + 611 - 1527 = -2*v. Calculate the highest common divisor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -687253, -1374732, -2062211, -2749690, -3437169?\n\"Answer: -687479*i + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**10)))\/f)\/f)**(-43) assuming f is positive.\nAnswer: f**(-387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 12*u + 21. Let d be n(13). Suppose -23393 - 19535 = d*q. Let h = 10866 + q. What is h rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(25)*2)\/sqrt(5) - sqrt(35)\/(3*sqrt(7))) + 2.\nAnswer: 2 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(2\/3)))\/(s**(1\/5)\/s*s))\/(s\/(s\/((s\/(s\/(s\/s**0)))\/s)*s))**(-2\/3) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let w(l) = -8*l**2 + 6*l + 4. Let f(k) = -8*k**2 + 5*k + 3. Let t(z) = -6*f(z) + 5*w(z). Calculate x(t(v)).\nAnswer: -128*v**4 - 64*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(1\/2)\/(v**(-2)\/v**(-3\/5))*(v**3\/(v\/(v**(3\/2)\/v)))\/(v*v**0)**(-2) assuming v is positive.\nAnswer: v**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*b**3 - 269*b**3 + 21*b**3.\nAnswer: -940*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669954399 to the power of 1\/2, to the nearest integer?\nAnswer: 60580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -21*o**3 - 216*o**2 - 234*o - 48. Let x(r) = -23*r**3 - 215*r**2 - 232*r - 48. Let y(f) = 8*b(f) - 9*x(f). Find h, given that y(h) = 0.\nAnswer: -4, -1, -4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/3)\/((-2)\/22). Let g = -5 - f. Suppose 30 = 4*m - 2*q, 2*m - 6*m + 3*q + 29 = 0. Calculate the lowest common multiple of m and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -278 - -526. Calculate the smallest common multiple of 8 and b.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*n = -56*n - 595. Solve 0 = -4*o - l - 17, 0 = 2*o - o + 3*l + n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10112\/192)\/(2\/(-3)). Let b = 749 - q. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -22*y - 1. Determine h(5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/(((-8)\/(-15))\/8). Suppose 0 = -a*c + 121 - 106. Solve -4*x = -c*g + 6, 3*x + 2*x + 2 = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 - 25 - -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 - 2412*d**3 - 190064*d**2 + 798720*d = 0.\nAnswer: -78, 0, 4, 1280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 100 = -15*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2 + 2)*(0 + 0 + 2*s**2) + 21*s - 21*s - 14*s**3 - 4.\nAnswer: -16*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 624*c + 425*c - 1050*c - 1466 in the form n*c + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*y**3 + 40228*q**2*y**2 - 13*q**2*y + q*y + 4*y**3 + 19376*y wrt q.\nAnswer: 4*y**3 + 80456*y**2 - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4457 is divided by 144?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 63 = 3*i, 4*i + 1 = -2*c + 37. Let z be (-4 - (3 - 6))*4\/(-26). What is the closest to 0.1 in z, c, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*g**2 - 1 - 78*g**2 + 4 - 6 + 150*g**2.\nAnswer: -3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 9900a (base 11) to base 15.\nAnswer: 2c8dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + 0 + 157)\/1 is divided by (-23)\/(-2) + (-12156)\/8104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hssxshhjzsju. What is prob of sequence jhxh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l**2 + 6*l + 3. Let g be c(-4). Suppose -3*v = -n - g, 2*v = -3*n + n + 186. What is v rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 12:21 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 35 = -3*u + 5*u, 0 = -3*u + 5*r + 53. Suppose 3*z - u = -z. Solve -5*m + 4 = -3*t, -6 = m - z*t - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -146*p + 261*p - 118*p. Let i(g) = g. Let w(c) = 4*c. Let n(j) = -3*i(j) + w(j). Calculate k(n(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*l + 3*l - 10, 0 = -l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -30.95. Let m = 0.05 - x. Put m, -2, -2\/15 in ascending order.\nAnswer: -2, m, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 5:49 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 3 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 181. What are the prime factors of v\/(-4)*(-1 + -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 + 4*o**2 + 5*o**2 + 6*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/10)\/((-7527)\/(-965)). Let z = -6.9 + -0.1. What is the biggest value in -2, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 122. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -18. Let f(m) = -m + 8. Let z be f(v). Does 21 divide (-195)\/z + 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372806490 divided by -3\nAnswer: 124268830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 - 1 = 0. Let y = 11 + -6. Is d greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 20. Let x be f(0). Let z(l) = l**3 - 6*l**2 + 8*l - 5. Let t be z(5). Suppose 0 = -0*q - 2*q + 8. Solve 2*k + 6*j - t = j, q*k = -5*j + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = 105 - 6633. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665\/2 - (-2)\/4.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -40. Let d = -22 - -29. Calculate the lowest common multiple of d and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81878420\/7 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/30 + 11*w**5\/60 + 15*w**2. Find the third derivative of k(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.53. Let n = -0.084 + 0.104. Put w, n, 0.2 in decreasing order.\nAnswer: 0.2, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.0711 + 0.0711. Let i = 5.4 - 5. What is the nearest to -5 in i, -4\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810080?\nAnswer: 2, 5, 7, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323589*g**2*v**5 - 3933*g**2*v**2 - 2*g**2*v - 2*g*v**2 + g wrt v?\nAnswer: -19415340*g**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 177*r + 520. What is f(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 836314350537.1 - 2.6.\nAnswer: 836314350534.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000368 (base 9) to base 11.\nAnswer: -333566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**11*b)*(b\/((b**2*b)\/b))\/b)**(-38) assuming b is positive.\nAnswer: b**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85767 - 147951 = -6*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 + 3 + 200*i - 5 - 198*i)*(-i + 5*i - 3*i) as j*i**4 + q + h*i**2 + o*i + p*i**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j. Let u be o(1). Let i be ((-2)\/u)\/((-1)\/(-6)). Solve -5*a = -25, 0 = 4*x - i*a - a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.426 + 1.78?\nAnswer: 109.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -168*r**2 - 3*r + 2. Let q be w(3). Let a = -599 - q. Suppose -2*k = 3*k + a. Round k to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105130?\nAnswer: 2, 5, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3 - 28\/(-8)). Let s be ((-4)\/(-6))\/(h\/(-12)). Solve -164*d**s + 159*d**2 - 5 - d + 11*d = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*y - 36332 = 1646 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -10223?\nAnswer: -10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5754 = -2*z + 5775, 3*y + 37 = 4*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (13 - 6) + -3 - (-11 - 2 - -10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23850.82112 - 23851. What is n rounded to 3 decimal places?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6 = 4*h + 2*u, -3*h + 8 = 4*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8852837ms to microseconds.\nAnswer: 885.2837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11035148 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/35517 and 199\/660.\nAnswer: 7813740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - k + 44355, -4*o + 3*o + 22180 = k. Is (12 + -4)\/16*(-1 + o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 19 + 117. Is x greater than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 63*n + 8. Let o(d) = -16*d - 2. Let q(v) = -9*o(v) - 2*w(v). Let p(f) = -164*f + 642*f - 160*f - 161*f - 160*f. Determine p(q(a)).\nAnswer: -54*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l + 7. Let w be g(-3). Let s be (w\/18 - 26\/117) + 49. Which is smaller: s or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 37.80151m?\nAnswer: 0.03780151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-24)*28*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 5 = l. Let s be -15 + 8\/(-20)*l. Let r = -9 - s. Solve 0 = 3*v - y + 17, 2*v - y - r + 16 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 3*o - 14*o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 236074?\nAnswer: 2124666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 31 = -44*s - 5*x, -2*s - x = -5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 11*v**2 + 15*v - 8. Let d be u(15). Suppose -q + d = 5*w, 0 = 4*q - 0*q - 5*w - 4493. Let f = q + -325. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 10000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 2*d - 41. Calculate z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*b - 359*b - 3*b + 103*b - 77*b.\nAnswer: -372*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87244 - 87244 - 279*i**3 - 3*i**3.\nAnswer: -282*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 8. Let m be f(-5). Let n be (-1 - m - 3)*(-1 + -1). Suppose -i + 15 = n*i. Solve 3 = -3*j - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - m = 23, 2*d + 6*m - 20 = 2*m. Suppose -2*a - 16 = 2*s, 0*s + a = 3*s + d. Let l be (10\/8)\/(s\/(-16)). Solve 0 = -g + l*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151218103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16200258*s**3 + 708691*s**2 - 5*s wrt s.\nAnswer: 97201548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192464672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-9\/4)\/i)*i)**(-33) assuming i is positive.\nAnswer: i**(-693\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7595546 is divided by 2011?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*r - 24, -r = -g + 3*r - 1. Suppose 0*c + 2*n = 2*c + 8, -4*c = 4*n + 16. Let o = 3 - c. Do o and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c*x**5 + 4*c*x**4 + c*x + 2*c + 4*x wrt x.\nAnswer: 120*c*x**3 + 48*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48571613.\nAnswer: 409, 118757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/11 + 13209*k**2\/11 + 39618*k\/11 = 0.\nAnswer: -13206, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 2*j. Let f(b) = 2*b**2 + 3784*b. Determine -f(g) - 3*w(g).\nAnswer: g**2 - 3790*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {g: 1, x: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -23*p**2\/2 - 4*p - 9. Is 6 a factor of w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q - 23, -2*q = 5*s - 113434. List the prime factors of s.\nAnswer: 2, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 9. Let t(v) = -2*v + 8. Let n(f) = -4*t(f) - 3*u(f). Let b be n(5). Let q(k) = k**3 + 2*k**2 - 9*k + 6. List the prime factors of q(b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*q + 5*t, -14*t + 1 = 2*q - 13*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 13, r: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*1884\/8. Suppose 3 = -3*y - 4*v + f, 2*y = 2*v + 184. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -367\/131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 638 - 21?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -115 + 4\/(8\/2). Let a = p + 212. Suppose 3*n = 7 + a. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 + 34*s - 5. What is the tens digit of q(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - l + 4*l**3 - 4*l**3)*(-9 + 9 - 3*l**2) + (0*l**2 + 0*l**2 + 2*l**2)*(-5*l**3 + 2*l**3 + 2*l**3) + 4*l - l**5 - 4*l.\nAnswer: -9*l**5 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*p - c, -2*c - 2*c - 4 = -5*p. Suppose -p*b + b = 9. Let g = -2 - -1.7. What is the closest to 0 in 2, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 t when four letters picked without replacement from {t: 10, z: 4}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32582 - -32579. Let x = 0.39 - 0.66. Which is greater: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/63, -5\/2, 71?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*s + 26*x - 27*x, -4*s - 2*x + 16 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 15. What is the second biggest value in f, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 25*s - 4*s**2 - 12*s in the form t + l*s + a*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33058497 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14304*p**3 + 28545*p**2 + 14178*p - 63.\nAnswer: 3*(p + 1)**2*(4768*p - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21512?\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmsmsmmmsmmmssmmmm. Give prob of sequence sms.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 - (-5)\/25.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (-22 - (18 + -14)) + -42?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15980\/487 at most 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m**2 + 0*m + (666 - 666 - 18*m)*(0 - m + 0))*(96*m**3 + 1760 - 1760).\nAnswer: 1536*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 - 0) + (-9 - 4) - (-3 - 10).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*d - 0*l - l, -3*l + 6 = 0. Suppose c = -3*a - 3*c + 12, 0 = -d*a - c + 29. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180631578 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 2*k - 3*k)*(-104 + 68*k + 104) to h + o*k + u*k**2 and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k - 6. Let b be (-198)\/(-42) - k\/7. Suppose 0 = 5*i + 2*w - 59, 1 = 3*w - b. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from fliflifllfliili.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1333 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 20. Suppose -13780 = -16*c - p*c. What are the prime factors of c?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 1363*s - 41790.\nAnswer: (s - 30)*(s + 1393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.2 + -12.9. Let g = -10 + x. Let v = -0.3 - g. What is the third smallest value in 3, -1\/4, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (1 + -11 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -37, -1 in ascending order.\nAnswer: -37, -24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 + 2*s**2)*(-3*s + s + 7*s) - 951*s**3 - 1167*s**3 + 714*s**3.\nAnswer: -1394*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316101733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 8. Solve i*t = 3 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 12) to base 6.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21452321 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 3. Let p = -8.1 + a. Let f = 410 - 409.6. What is the closest to 1\/3 in f, p, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -41. Let r(i) = 9*i - 7. What is the remainder when r(6) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -2.239. Let r = q - -0.221. What is the third smallest value in 2, -0.3, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m - 1. Let o(a) = -5*a**3 - 4*a**2 - 13*a - 5. Let s(q) = o(q) - 6*p(q). Let k = 23 - 18. Determine s(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.5 (c) -3 (d) 72\/11 (e) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = k + 2*c, 722 = 7*k - 5*k - 4*c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.96 + 4.06. Let b be 1\/(-41*(0 - -1)). Is p at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 3, s: 5, r: 1}. Give prob of picking 1 r and 3 a.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -2*a + 80, -r = -2*a - 43. Suppose 0 = -6*i - 385 - r. Is -70 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3074146*k + 6148323*k - 3074158*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 + 0 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 7}. What is prob of picking 3 h?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)\/l)\/l**0)\/(l**(1\/2)\/l)**(-9) assuming l is positive.\nAnswer: l**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12970?\nAnswer: 2, 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 3. Let v = -17 + 27. Let p(c) = -3 + 3*c + 0 - c + v. Let t be p(-6). Let g(x) = -5*x + 3. What is t*g(w) + 6*r(w)?\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -5 - 25. Suppose -b*w = -34 - 51. What is the second derivative of 6*a**4 + 9*a - 4*a + w*a**4 wrt a?\nAnswer: 276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 17*g + 134. Which is the third smallest value? (a) 19 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/810 and 37\/45?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*r + 63*r = -56*r + 224224. Is r a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13669679, 13669638, 13669599, 13669562, 13669527, 13669494, 13669463?\n\"Answer: o**2 - 44*o + 13669722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -43*v + 69. Solve 8 = 3*i - 7*i + 3*b, -3*i = 2*b + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/7 - 198*q**3\/7 + 2180*q**2\/7.\nAnswer: -2*q**2*(q - 10)*(q + 109)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521985.1 months in centuries?\nAnswer: 2101.65425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/24 - a**3\/6 + 7*a**2. Let m(d) = -d**2 + 9*d - 11. Let h be m(7). Give z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Let n = s - 1. Suppose 0 = -5*i - n*q - q + 21, -2*i = -3*q. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 3*q**2 - 15*q + 4551. What are the prime factors of o(0)?\nAnswer: 3, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -0.09, -2\/3, -0.1 in descending order.\nAnswer: 1\/3, -0.09, -0.1, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 458836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + 3*j - 3. Suppose 5*s - 5 = 2*m, -3*s + 4 = 1. Suppose -4*x - 4*f - 16 + m = 0, 5*x - 4*f + 11 = 0. Calculate b(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c - 17. Let o(f) = -2*f + 6 - f + 0*f. Determine -4*n(j) - 11*o(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 7. Let b(h) = -4. Let z(f) = 5*b(f) - 2*v(f). Let s be z(5). Suppose 0 = -d + 1, s*k - d = 4*d - 9. Is k smaller than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-14) + 2*(-283)\/4. Let a = o - -140. Is a > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 318\/(62\/(-20) + 4). Let h = -278774\/789 + t. Let x = h + 1819\/2893. What is the common denominator of x and -89\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = 6*b. Let i = 36 + -43. Let j be (-30)\/(-45) + i\/b. Sort 0, j, 1 in decreasing order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*k - 3*t, 73*t - 76*t = k - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77614 is divided by 2926?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 60597.6nm?\nAnswer: 60.5976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -4 + 0 + -4. Let x(z) = 6*z**3 + 6*z**2 - 6*z. Let c(j) = -j**3 - j. Let v(y) = u*c(y) - x(y). Find p, given that v(p) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/17)\/((-159)\/(-7208)*-32).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5 - 0, 2*x - 13 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**8\/28 + 98*c**7\/3 - c**4\/6 - c + 605. What is the third derivative of j(q) wrt q?\nAnswer: 240*q**3 + 82320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (266\/95)\/((-92)\/115)*4\/91\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339 + 337. Let y(q) = -q**3 + 1. Let b(l) = -2*l**3 + 3*l**3 - 2 + 0. What is d*b(i) - 4*y(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 + 76)*(-11)\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30) + (-7)\/(-20)*8374\/1113.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 62145.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98891 is divided by 8597.\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*z**3 - 81608\/3*z + 0 + 808\/3*z**2 = 0. Calculate z.\nAnswer: 0, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g + 14\/3*g**6 + 8\/5*g**5 - 7*g**4 - 8\/3*g**3 - 5 + 0*g**2. Find w such that v(w) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*t**3 + 4085*t**2 + 6*t**3 - 3949*t**2 wrt t.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 3*b + 3. Determine n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65856 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -9, -3, -91 in ascending order.\nAnswer: -91, -9, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-15))\/(2\/10). Solve -d - k*q = -7, 0 = -6*d + d - 5*q - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:30 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -219, 1, 3, -1, -0.3.\nAnswer: -219, -1, -0.3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*i - 710 = 59*i - 1126 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 22 + 74*u**2 + 11*u - 75*u**2 - 4*u + 15*u. Is i(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6*m + 10. Let c(j) = -3 + 5*j**3 - 4*j**3 + 5 - 4*j**m. Let s be c(3). What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (84\/9)\/2 - 34\/(-51). Which is the nearest to 1? (a) 0.1 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.335 - 73. Round h to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10517403 (base 8) in base 6?\nAnswer: 120344151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (-1 - -2 - -1). Suppose 2*h + 0*h = -c. What is the units digit of (0 + -1)\/1 - h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165220491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 67*a = 12*a + 25*a + 140 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2629635?\nAnswer: 3, 5, 175309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 726 and 2177516.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 16*l**2 - 2*l - 8. Calculate a(16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16630831.98 milliseconds in weeks?\nAnswer: 0.02749806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) - (sqrt(252) + -2*-1*sqrt(252) + sqrt(252) - sqrt(252))) - -5*2*sqrt(252))\/((1*sqrt(1089) + sqrt(1089))*-3) + 0.\nAnswer: -13*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 3. Let i be n(-7). What is the second derivative of -4*d - d**i + 4*d**4 + d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184 + -2?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 1) + (-650 - -646).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1511 = -331*u + 330*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-4)\/(-6) + (-21)\/(-9). Suppose l*o + 3 + 1 = 0. What is the tens digit of o\/(1 + -3) - -28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472286 is divided by 421.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 45\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228)*3)\/(sqrt(12) + (sqrt(1200) - sqrt(1200)*-1) + sqrt(1200) + sqrt(12) + sqrt(12)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/3)*((-77)\/11)\/((-7)\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149*o - 886*o + 712 = 777*o + 197552 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - 3) + -2 - -1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -207 (c) 3.6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 169, 302, 491, 754?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*z - 25 = 5*z, 0 = -3*y + 4*z + 17. Let j be (3 - (-98)\/(-16)) + y. Let w = 7.3 + -7. Put -1, w, j in ascending order.\nAnswer: -1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 58 = 5*a, -16 = 2*a + 2*w. Let o(y) = -6*y - 12. List the prime factors of o(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppdppdppppddpdddd. What is prob of picking 2 p and 2 d?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 10*m = 191. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = h - 339, 0*h = 3*h + 3. Suppose -r + 18 = -3*u - 8, 5*r + 5*u - y = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/(i**11*i))**(3\/26)\/(((i\/(i\/(i\/i**(-2\/3))*i))\/(i*i\/(i**(-9)*i)))\/(i**(-2\/3))**(-1\/14)) assuming i is positive.\nAnswer: i**(331\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -5, 0 = -5*a - 2*o + 77. Solve -13*j = -8*j + a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2 + 59*u - 1 - 7*u. Let j be (-1 + (-6)\/(-4))*2. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/24 + 5*p**4\/12 + 8*p**3\/3 - 7*p**2. Let h(c) be the first derivative of m(c). Find the first derivative of h(z) wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 23, -1 in ascending order.\nAnswer: -1, 23, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1117 = 5*s - 3*h, 3*h = 6. Let a = 2923\/13 - s. What is the second biggest value in a, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let g be (420\/(-25))\/((-8)\/(-60)). Let b be (-14)\/(-4)*(-144)\/g. What is d(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 31 - 1 = 2*s, -s - 14 = m. Is s at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 3, 22.65?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 851*d + 2969. Determine t(-4).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*d + 2*i, -d + 7*i = 3*i - 10. Let a(u) = -u - 6*u + 1 + 4. Let c(h) = -4*h + 3. Let v(x) = d*c(x) - 6*a(x). Let t(n) = 7*n. Give v(t(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7534d6 (base 14) in base 2?\nAnswer: 1111001000010001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*(2754\/(-51))\/(-1242).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 268, 887, 2076, 4021, 6908?\nAnswer: 10923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*l**3*w**2 - l**3 - 8*l**2*w - 4412*l*w**2 + 350469*l*w - 20*w**2 wrt w?\nAnswer: -34*l**3 - 8824*l - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 1\/3, -6, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*a**2 - 7028 - 71*a**2 + 114*a**2 + 7028)*(11*a - 8 + 8).\nAnswer: 1474*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -2 (c) 56 (d) -1 (e) -6703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1404*t - 1439*t - 10 = 25. Let l(g) = g. Let v(d) = -5. What is t*v(k) + 2*l(k)?\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 184*f**2\/3 + 1160*f\/3 + 53824.\nAnswer: 2*(f - 58)**2*(f + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29479108 is divided by 2790.\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 5*b - 27 + 0 + 0*b - 18 as c*b + y and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*z - 132095, 2*g = -309*z + 308*z + 52833. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44739185 divided by 8947837?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3806060 and 139\/283430?\nAnswer: 26642420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 37*g**6\/30 - 10*g**2 - 49*g. Find the first derivative of h(l) wrt l.\nAnswer: 148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (2 + (sqrt(108) - (sqrt(108) + -1) - sqrt(108)) + sqrt(108)) - -4*sqrt(108)*1) + (1 + (sqrt(108) + 2)*5)**2.\nAnswer: 690*sqrt(3) + 2818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o + 14*o - 11*o. Suppose 0 = 5*g - 0*t - 2*t - 27, 3*t = -5*g + 22. Let z(y) = 7*y + 6*y - g*y. Give z(j(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from uururrubuwbuaaaarrru?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 476 + -477. Let i = 1451\/65 - 112\/5. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -4121444.\nAnswer: -4121439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) -0.1 (b) 1 (c) 42 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzynzysyzyy. Give prob of sequence yzt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2092557463 to the nearest integer?\nAnswer: 45744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/3 + 844*p**2\/3 + 137846*p\/3 + 137000\/3 = 0. Calculate p.\nAnswer: -125, -1, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 60 = 20. Solve x - 5*r = -x + 20, -5*x = 4*r + w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66239 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**5 + 8*n**5 - 7*n**5 + (-4*n + n + 2*n)*(-6*n**4 + n**4 + 0*n**4) + 0*n**5 - 2*n**4 - n**4 - n**5.\nAnswer: 12*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(640) - sqrt(640)) + sqrt(640) - sqrt(40)) + sqrt(40) - sqrt(40) - sqrt(40))\/((sqrt(1152) - (sqrt(1152) + sqrt(1152)*-1)) + sqrt(1152)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 249?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 + 1200*m**2 - 96000*m + 2560000 = 0. What is m?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -794 * -0.5\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 23*o**2 + 4*o + 19 + 24*o**2 to the form m*o + q + h*o**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 3:20 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382 + -380. Suppose 0 = 2*n - p*g, 9*n - 2*g - 6 = 5*n. Solve -2*a - 14 = -0*a - n*o, -o = a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 560 = -37*y. Suppose y = -5*o, 2*c - 2*o - 76 = -3*o. Solve 0 = 6*w - 14*w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18141*t**3 - 21308*t**3 + t**2 + 65565*t**3 - 21797*t**3 - t**2.\nAnswer: 4319*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -50) + (0 - (4 + -6)) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 7*o**2 + 6*o + 1. Let v be l(-6). Let r be v + 2\/(-2) + -1. Let b(z) = -2*z**3 + 1 + 0 + 3*z - 2*z. What is b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1145 and -0.8068.\nAnswer: 923.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/2880*90*-1*(-8)\/(-186).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 11*i + 3*i)*(2*i - i - 2*i) + (-i - 5 + 5)*(-2*i - 2*i + i) in the form x + s*i + f*i**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b - 6. Let r be l(-6). Let g = -60 - r. Suppose 65 + 0 = -3*u - 2*h, g = 2*u + h + 42. Is -18 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 435\/(-85) - 2 - 6\/(-51). Suppose 2*w + 8 = 4*w. Sort j, w, 3 in ascending order.\nAnswer: j, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1)*(-1)\/1. Suppose 0*h + 5*h - 15 = j. Suppose 0 = h*i + 2*t - 28, -t = 3*i - 2 - 21. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjvoad. What is prob of picking 1 v, 1 j, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/11 - 233434*g**2\/11 + 6811545760*g\/11 - 6811312328\/11 = 0.\nAnswer: 1, 58358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -40867623\nAnswer: -40867629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 78946 divided by -14\nAnswer: -5639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 419 - 296 = -41*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*d + 20, s - d + 3 = 4. Suppose 249 = 5*i + s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a factor of 4994024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11601667 (base 8) in base 7?\nAnswer: 30506250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from jmjmmjjrsmmaxss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56505\/26369*(-196)\/6?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**3\/3 + 2*l**2 + 2. Let s(w) = -w**3 + 10*w**2 - 7*w - 13. Let m be s(9). Let d = m - 8. What is i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132168 and 432.\nAnswer: 2379024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -68. Let p = r - -175. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -331?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159221558?\nAnswer: 2, 17, 19, 246473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/24 and 107\/10824?\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36864 divided by -576\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -38) + (-15 - 3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - -13. Suppose -z = -2*m - m. Suppose -5*d = -3*r - 45, -r - 2*r + m = 2*d. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhofofohhazaz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002110 (base 3) to base 13.\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -6*m + 2*m. Let a = 37 - m. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35163, 35143, 35123, 35103, 35083?\n\"Answer: -20*f + 35183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 b when three letters picked without replacement from {i: 4, n: 1, b: 2, q: 2, j: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:37 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Suppose 10*c - 3 = 13*c. Let f(h) = -h**2 - 11*h - 20. Let y(d) = c*f(d) + 3*j(d). Let z be (-2)\/(1 - (-10)\/(-12)). Give y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91624.97ml to litres.\nAnswer: 91.62497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(21)\/(sqrt(7)*-1) - sqrt(3)) + -1*(0 + sqrt(3))) + -4.\nAnswer: -18*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 9:59 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23903, -46869, -69835, -92801?\nAnswer: -115767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15430*t**5 - 117*t**4 + 16671502*t?\nAnswer: -308600*t**3 - 1404*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let u(t) = 6*t**2 - 5. Let n(p) = p**2 - 5*p + 0*p - p. Let g be n(5). Let a(s) = -s**2 + 1. Let q(h) = g*a(h) - u(h). Give v(q(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -260487.58 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**3*h)\/h)\/(h*h\/h**(-1\/9)))\/(h*h**(1\/4))**7)**(9\/2) assuming h is positive.\nAnswer: h**(-283\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(90\/(-4)) + (-454)\/(-18). Suppose 3*d - 3*q = -8*q + f, d + 5*q = 25. Solve d = -3*l - 2 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/3 + 538*f**3\/3 - 72668*f**2\/3 + 141590*f\/3 + 71599 = 0.\nAnswer: -1, 3, 253, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05512608326 rounded to 6 decimal places?\nAnswer: 0.055126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-24)\/4 + -1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-7))\/((d*d\/d**(2\/17)*d)\/d)*(d\/(d*d**7\/d)*d)\/((d\/(d\/(d**4\/d)))\/d) assuming d is positive.\nAnswer: d**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398245 is divided by 294.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 2808.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 5*d**8\/336 + 11*d**5\/60 + d**4\/6 - d**3\/2 + d**2 + 63*d. What is the second derivative of s(k) wrt k?\nAnswer: 100*k**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72696, 145448, 218200, 290952, 363704, 436456?\nAnswer: 509208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 + 19 = 3*s, 3*s - 18 = -5*w. Solve u = -u - s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*r - 87. Suppose 0 = -8*q + r*q - 195. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 199\/6*r**3 - 2 + 0*r - 154*r**2 - 37\/3*r**4. Find the first derivative of n(c) wrt c.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -27 - 128*s**2 - 123*s**2 - 24*s + 248*s**2. What is the smallest common multiple of 826 and q(-6)?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r**2 + 246*r - 39. Give k(14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 11:42 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 10062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*b, 5*b = -3*s + 16 + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 - 5*t + 7. Let l be b(-6). Let d be 2 - l\/(3\/(-42)). Find the common denominator of -9\/16 and (-150)\/d - (-1 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, v: 1, f: 4, x: 12}. Give prob of picking 1 v and 1 f.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -3. Let o(r) = 4*r - r + d*r. Let u(g) = 26*g**2 - 53*g**2 + 25*g**2. Give u(o(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p**2 + 12*p + 48*p + 16*p + 17 + 25*p**2. Let x(v) = 3*v**2 + 19*v + 4. What is 2*g(s) - 9*x(s)?\nAnswer: -s**2 - 19*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from knnckkcnjgnj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*v**4 + 5\/3*v**3 - 8\/3*v**2 + 0 + 4\/3*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 20809*i**2 + 229021*i + 7. Calculate c(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -215 (b) 4 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 30202?\nAnswer: -30012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40.7, 8, 0.05?\nAnswer: -40.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657, -646, -635, -624?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 63.89.\nAnswer: 255.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/64116470 and -34\/12138555?\nAnswer: 2500542330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**2\/2 + 19*a + 13. Let y be f(-7). Solve y = 3*b + 2*n - 6*n, 3*n + 9 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -53\/2. Let u = 7028.3 - 7029. Suppose -3*m + 15 = -m - 5*r, -3*m = 2*r + 25. Which is the second biggest value? (a) l (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -15.7. Which is the closest to f? (a) 2 (b) -4\/7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/5)\/t**(-1))**(-24\/7)*(t**4*t*t\/(t\/(t**(1\/4)*t)))\/(t**(3\/7)\/(t**8*t)) assuming t is positive.\nAnswer: t**(2363\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 2*p + 5. Let f be i(-4). Suppose -t + 5 = -r - 3, r = 2*t - f. Solve 4*v + 0 = -t*k - 9, 3*k = -3*v - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + sqrt(3888) + 2*sqrt(3888) + 2 + sqrt(3888) - -5*(1 + sqrt(3888)))**2.\nAnswer: 5040*sqrt(3) + 388849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242\/5, 0.3, 0, -1.\nAnswer: -242\/5, -1, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1642 - 277?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -5. Let m = a + -10.1. Let n = -2 - m. What is the nearest to n in 3, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/47))\/j*j**(1\/2)\/j*j assuming j is positive.\nAnswer: j**(51\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 49*p + 215. Let q be c(5). Sort q, 4, -3, -21 in ascending order.\nAnswer: -21, q, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 (base 10) in base 7?\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 13*z = -36. Suppose 8 = z*p - 2*p. What is the derivative of 100*y**p - 35 - 100*y**2 - 19*y**3 wrt y?\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 57155.\nAnswer: -1\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -10*w + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41347 (base 9) to base 13.\nAnswer: c53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/11)\/((-345)\/(-7590)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 2*g)*(3*g + 0*g - 6*g)*(46*g - 89*g + 53*g)*(-2 + 4 + 0 + (4 + 0 - 2)*(3 - 18 - 1)).\nAnswer: 1800*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 842, 1133, 1414, 1685, 1946, 2197?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 148229468 = 26411604. Suppose -5*h = -12669866 - x. What is h rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, -5, -0.014 in descending order.\nAnswer: 200, -0.014, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 1\/(-1 + 130\/125).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -19)*1725\/(-2300).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -w. Let d be (-92)\/(-20) + 2\/5. Solve -w = -u + 3*i, -3*u - 25 = -u + d*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*n = -58*n - 14. Let j(z) = -z**3 + 7*z**2 - z + 9. Let i be j(7). Suppose 4*h - i*h = -n. What is the biggest value in -0.1, 3\/8, h?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -147?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -498, -495, -492, -489, -486?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 18*z**3 + 12*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -1\/5 (c) 0.069633\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b + 65. Suppose 10*o = b*o. Let i(g) = g**2 - 6. What is i(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2 + 6 + 7*u**2 - 9*u + 3*u - 2. Let k(m) be the third derivative of 2*m**5\/15 - 7*m**4\/24 + 7*m**3\/6 - 2*m**2. Let n = 11 - 17. Give n*k(y) + 7*h(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + o**2 - 42*o - 88*o + 52*o)*((3 - 2 + 0)*(4 + 0 - 3) + 0 - 2 + 3 - 1 + 3 + 1).\nAnswer: -5*o**4 + 5*o**2 - 390*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one halves of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/4*576\/(-360)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 + 49608*p**4 + 160408324*p**3 + 40918662720*p**2 + 2721444102400*p.\nAnswer: 4*p*(p + 136)**2*(p + 6065)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:26 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 4}. What is prob of picking 2 p and 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23240, 46564, 69888, 93212, 116536, 139860?\nAnswer: 163184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:55 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 15*l**2 - 121*l - 334. Calculate m(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:12 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371162784 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-3)*(25 - 28). Sort 0, 1, l in descending order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292110000 rounded to the nearest 1000000?\nAnswer: -292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000001101010111110 (base 2) to base 5.\nAnswer: 314130231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*y**3 - 50*y**3 + 71*y**3.\nAnswer: 91*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43645 - 6535 = -13*f. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.13699cm?\nAnswer: 0.0813699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, -831, -2371, -4589, -7521?\n\"Answer: -6*s**3 - 285*s**2 - s + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 588.3 - 588. Which is the closest to -0.2? (a) -3\/8 (b) g (c) -3\/2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*297\/(-135))\/(2*(-5)\/20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.1, -6\/11, -2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = m - 5*m, -8 = -4*f - 4*m. Let h = f - 4. Let t = 2 + h. Solve b + 3 - 2 = t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8919846 and 1791593?\nAnswer: 419232762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 616, 5, -5\/9 in descending order.\nAnswer: 616, 5, 1, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299659645 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/83, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33\/130 - 19\/130. Sort 12, c, 3\/11 in decreasing order.\nAnswer: 12, 3\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12468499843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 - -344?\nAnswer: 347.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 3863 = 4050 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 7. Let h(o) be the third derivative of -661*o**5\/12 + o**4\/6 + 2*o**3\/3 - 26*o**2. Let s be h(c). Round s to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1\/(-1)*4. Let f = a - 1. Let j = -211\/7 + 31. Which is bigger: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26224170569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 608*d + 93384 - 95208 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 + -118. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/449 and 13\/5.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -40*o + 7. Let r(i) be the third derivative of 13*i**4\/24 - i**3\/3 - 12*i**2. Let j(k) = -7*r(k) - 2*u(k). Let p(c) = -c. Calculate p(j(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d - 28*d = 66*d - 2394 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**2 + 7*p**2 - p - p)*(3 - 3 + 3).\nAnswer: 57*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -188, -139?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let x be (f\/(-3))\/((-6)\/(-27)). Suppose 0 = -5*y - 0 + 5. Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, -2\/3197, -0.2, 2, -32 in decreasing order.\nAnswer: 2, 2\/5, 0, -2\/3197, -0.2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3248\/406 - 257*109\/3512 and 65\/184?\nAnswer: 80776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1.2. Let t = 3 - 1. Let m = t + -3. Is c <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 1 - 10. What are the prime factors of 1 - 5*(72\/1)\/f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -1\/40*b**5 + 0 + 30*b**2 + 0*b + 0*b**4 - 13\/2*b**3 - 1\/120*b**6. Let y(r) be the first derivative of u(r). Solve y(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3 - 2. Let n = 35 - 25. Suppose c*l = -n, 3*q + l - 1 = -3*l. Solve -12 = q*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 + -38.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 60 = -4*n. Suppose 33*l + 30*l = 13797. Suppose 4*q - 2*g = -g + l, -3*g = -n. Calculate the remainder when q is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -327*n + 11386. What is the tens digit of f(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67.328 + 67. Round u to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614674327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m + 74 - 75 - 2*m**2 + 34*m**4 - 22*m to the form l*m**4 + k*m + g*m**3 + x*m**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*t - 78 = 24, 0 = -5*t - 15. List the prime factors of (l\/(-21))\/(6\/(-210)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - h - 1 = 0, 0 = -2*t + t + 4*h - 10. Suppose 0 = 4*z + 5*b - 200, -z + 0*b - t*b = -47. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207915585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12548 a factor of 1144144501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9339715 + 75\nAnswer: 9339790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*a - 1 - 4801*a + 343*a - 20.\nAnswer: -3863*a - 21","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*s**4 - 73*s**4 - 8*s**2 - 76*s**4 wrt s?\nAnswer: -456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-930)\/(-5))\/((-156 - -54)\/(-34))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(75) + -1)**2) + ((1*sqrt(75) + -2 + sqrt(75))**2 - (0 + sqrt(75)*-2 - sqrt(75) - sqrt(75))**2).\nAnswer: -1130 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 244. Let p(q) = 7*q - 240. Let c(a) = 4*f(a) + 3*p(a). Calculate the remainder when 127 is divided by c(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.119 (b) -0.3 (c) 0 (d) 0.01 (e) 2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129874248.999953 + 129874341. Let w = u + -92. Round w to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 12*b - 22. Let h = -5 + 3. Calculate the smallest common multiple of s(-9) and h\/10 - 24\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 3\/7, -3, -91 in ascending order.\nAnswer: -91, -3, 3\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 - -1)) + 7 + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 12) in base 3?\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*-2\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3)*-1*2)**2 + 4 + sqrt(300) + -1*sqrt(300).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316222519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 5*c - 470. Suppose 0 = -3*o + 7 + c. Suppose -4*t = -o + 23. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11603, 23222, 34853, 46502, 58175, 69878?\nAnswer: 81617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4074246 - 2.4054. Round i to five decimal places.\nAnswer: 0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12 - 9*g + 26 + 36 + 11. Suppose n - 2*l - 6 = 0, -3*l - 6 - 3 = n. What are the prime factors of c(n)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m**2. Let l(h) = 2*h**2 - 2*h**2 - h**2 + 2*h**2. Calculate l(x(v)).\nAnswer: 196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 120\/(-25) + (-2)\/10. List the prime factors of (-248)\/n - ((-27)\/5 - -5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, -2.3, -5.9 in ascending order.\nAnswer: -5.9, -5, -2.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 7 - 10 + 20. Let a(l) = l + 2. Calculate -3*a(t) + 2*h(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 13. Let g be k(7). Let l be (1 - 10\/15)*g. Solve -4*y + 2 = -l*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/33? (a) -0.43 (b) 4\/9 (c) -2\/5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*q**2*y**3 + 991*q**2*y**2 - y**3 - 2785*y**2 + 2 wrt q.\nAnswer: 14*q*y**3 + 1982*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 482*c**2 + 8198*c + 68 = 0.\nAnswer: -17, -2\/241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0\/l)**(3\/26)\/((l\/(l**3*l)*l)\/(l**(-2)*l)))\/((l**1)**(-32\/3)*(l**(1\/3))**(-12)) assuming l is positive.\nAnswer: l**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 3. Let b(q) = 2*q + 4. Let h be (-1588)\/5*(403\/26 + -13). Let s = h - -797. Calculate s*b(p) + 4*j(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -4\/3 (c) -2\/5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17914\/67905 - 47\/503. What is the common denominator of -16\/1107 and x?\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310443 is divided by 262077.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**2 - 938*m + 760.\nAnswer: -(3*m + 190)*(5*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 459253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281080 is divided by 278387.\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z. Let a(y) = -73*y**2. Calculate q(a(j)).\nAnswer: 292*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by 2\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/40 and -119\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k - 17. Let o be d(2). Suppose 2*h - 2*y = 17 - 3, -h - 5 = o*y. Let i be (-3160)\/(0 - h)*20. Round i to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 - 155. Solve 0*k + 3 = 3*k + 5*o, -u*k + 5 = -2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -23200?\nAnswer: 23133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 - 3. Let i(l) = -l - 1. What is -3*i(a) + z(a)?\nAnswer: -6*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 7*q + 6. Let x be (-22)\/4 + 0 - (-13)\/26. Let p be v(x). Let c be (-8)\/4*1 + p. What is the highest common divisor of 28 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -918, -3660, -8224, -14604, -22794, -32788, -44580?\n\"Answer: p**3 - 917*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 21237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3028390.\nAnswer: 908517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 3*t - 2. Let x be y(1). Let f be (-1)\/((3\/x)\/(-3)). Let g be (-10)\/f*18\/(-12). Solve -5*d = g*q - 10, -2*q = -d - 8 + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 41*k - 336. Solve 0 = -23*p + k*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s - s)*(-1 - 3 + 1 + (3 + 3 - 7)*(-3 + 5 + 1)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:05 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-4*sqrt(12)\/sqrt(3) - sqrt(4)) + ((sqrt(18)*2)\/sqrt(6))**2 + 2 + (sqrt(27) - sqrt(270)\/(sqrt(40) + sqrt(10)))\/(sqrt(108)\/sqrt(432)).\nAnswer: 19*sqrt(3)\/5 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 30*i + 4480. Let c be b(-149). Solve 11*u = c*u + 8 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12876, 12389, 11060, 8469, 4196, -2179, -11076?\nAnswer: -22915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snssnssnnn. What is prob of sequence sssn?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1580493, -3161000, -4741471, -6321888, -7902233, -9482488, -11062635, -12642656?\nAnswer: -14222533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 43. Let g(l) = 6*l + 10. Calculate u(g(f)).\nAnswer: -72*f**2 - 240*f - 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10984006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/((-2)\/(-5)))\/((-20)\/16). Is (47\/188)\/(a\/65672) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 797*l + 127637. Calculate a(-222).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (312*13\/208*8\/52)\/((-11)\/(-20))\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2667 and 5333\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.2, 0.4, -635, -0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45057 is divided by 4490.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 + 5*s + 3. Let k(l) = 19*l**2 - 6*l - 4. Let w(m) = -3*b(m) - 2*k(m). Determine w(4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 2 = 0. Solve -o = 3*q + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 374\/120 + (0 + -1 - 1). Let i = -2\/15 - r. Let m = -7856\/17 - -462. Which is the smallest value? (a) -3 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -702.6 + 779. Let d = g + -76. Suppose 0*l + 15 = 3*l. Which is the second biggest value? (a) -0.08 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**3 - 36*x**2 + 1131*x - 2107. Determine p(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 796*x**5 + 2*x**2 - 3*x + 49 wrt x.\nAnswer: 15920*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.558 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37200, -37199, -37198, -37197, -37196?\nAnswer: -37195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*u - 30 = -157*u. Suppose -1639 = -k + u*f, 8*f - 3*f - 4897 = -3*k. What are the prime factors of k?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -33. Let u(i) = 9*i + i**2 - 6*i + x*i + 3*i + 14. Determine u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + (-6 - (-5 + 6)*-7). Let t = -6254\/939 + -2\/313. Which is greater: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153956?\nAnswer: 2, 11, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(931) - (sqrt(931) - (sqrt(931) - (2*sqrt(931) + -1))**2)).\nAnswer: -14*sqrt(19) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 9*i**4\/4 + i**3\/3 - i**2\/2 + i. Let w(o) = 5*o**2 - 5*o + 5. What is the remainder when g(1) is divided by w(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -75. Solve -5*q - 10 = -o*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -2 + 107\/6*h**3 - 2*h + 0*h**2. Let d(z) = -z. Calculate l(d(x)).\nAnswer: -107*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51680 (base 13) to base 4.\nAnswer: 203223020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(1 + 1 + 0)*(1 + 8 - 7) + 5*i - 11*i - 5*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923160?\nAnswer: 2, 5, 48079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 22977574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 2*r + 1. Let v(d) = -10*d**3 + d**2 - 12*d + 5. Determine -5*h(l) + v(l).\nAnswer: -10*l**3 - 9*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvdd when four letters picked without replacement from ddvddddvddddddvddv?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - -350. Calculate the greatest common divisor of d and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:27 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1431 + 1429. Let t = 917\/3 - 305. Which is the nearest to 0.1? (a) t (b) 29 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 7*f + 1. Let h be c(3). Let i = 19 - h. Solve -9 + i = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 880896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2276219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11920 - 4864. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 269670909.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(3\/20)\/(j**(1\/4))**(-2\/19))\/((j**(-3)*j)**(-3\/20))**(-42) assuming j is positive.\nAnswer: j**(1171\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1454308, -2908597, -4362870, -5817127, -7271368, -8725593?\nAnswer: -10179802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15094*t**2 - 2*t. Let o(j) = -23*j**2. Determine s(o(b)).\nAnswer: -7984726*b**4 + 46*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 + 2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8604*l - 1018. Let r be m(38). Round r to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506 + -10 + -1 + 11?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113\/7 + 110\/7. What is the nearest to 1 in 0.3, p, -0.049?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1781.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 945667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2879 + 0.2879. Which is bigger: a or -2930?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/7, -3, 1, -3\/8, -0.3, 2046?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3021023222 (base 4) in base 14?\nAnswer: 176442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2017 is divided by 401?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 284*c**2 - 12210*c - 165528.\nAnswer: -2*(c + 33)**2*(c + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + i - 10, 0 = -2*a - 4*i. Suppose -3*s**2 - 2*s**2 + a*s**2 + 2*s + 0*s**2 - 1 = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = 3*q + 6, q - 4*t = 12. Let u(w) = -2*w + 1 + 6 + 5*w - w**2 + q*w**2. What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526, -530, -538, -550?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 3*x - 2. Let d(i) = -1 + 1 + 3*i**2 + 0 + 7*i + 5. What is -2*d(c) - 5*s(c)?\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + 6*(3 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 29. Is 1\/((-12)\/l) - 4334\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 125 = 5*j, 2*g - 5*j + 13 = 3*g. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/436 + 1093\/436. Let s(l) be the second derivative of 0 - 3*l**2 - c*l**3 - l**4 - 5*l - 3\/20*l**5. Suppose s(n) = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192 - 392 + 200 - 418*k to the form m*k + p and give m.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 1\/6*i**6 + 0*i - 3 + 0*i**4 + 0*i**5 + 0*i**2 + i**3. Find the third derivative of h(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7475, 14951, 22427?\nAnswer: 29903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + 1) - (9 - (4 + 12) - 29)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -23 + 21*t**3 - 42*t**3 + 7*t + 20*t**3 - 6*t**2. Is g(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l + 53. Let v be y(-5). Solve -v = 3*i + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa35 (base 11) to base 9.\nAnswer: 21865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/8)*x)\/((x\/x**19)\/x))\/(x**(-25)*x*x*(x*(x\/x**(2\/53)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(17983\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2542 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -6 (c) -4\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 2964 = -5*d. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 11:42 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157624 and 7802388.\nAnswer: 15604776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 38 - 34 - a as k + w*a and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*y - 3*b - 16, b = 3*y - 7. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -4\/7, 2.1, 84?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -33*u**2. Suppose -1 = -5*x - r, -3*x - 4*r = 5 + 8. Let y be (x\/(-2)*-1)\/((-16)\/(-544)). Let b(p) = -8*p**2 - p**2 - 6*p**2 + y*p**2. Give i(b(j)).\nAnswer: -132*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.55*22.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000557375 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20855262 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzotvss. What is prob of picking 1 s, 1 v, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.843 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 7. Let h be v(-5). Suppose 5*w - 7*w - h = 0. Let n = 0.6 + -1. Which is the third biggest value? (a) n (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1495838, 2991684, 4487530?\nAnswer: 5983376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b + 105 = 0. Let v be 6\/10 + (-6 - 189\/b). Suppose x - 29 = u - 4*u, v = -4*u + 12. Solve n = -4*n + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 at most -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86852\/477411 + 52\/1173. What is the common denominator of u and -49\/222?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/4 + t**3\/3 + 10*t**2 + 3*t - 705. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.5 (c) -26\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 4 - -2) + -6 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 - 11*q**3 + 14*q**3 - 3*q**2 + 4*q**3 - 5*q**3 + 4*q**3 + (-q**3 + 0*q**3 + 0*q**3)*(2 + 3 - 3).\nAnswer: -q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - 0.068. Let i = j - 0.312. Let h = i - -0.61. Which is the nearest to 0? (a) h (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m**4\/4 + 7*m + 2. What is the derivative of a(c) wrt c?\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225927, -903781, -2033569, -3615291?\nAnswer: -5648947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294704924 to the nearest integer?\nAnswer: 17167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 9*y - 1. Let l(n) = -14*n + 35. Calculate the remainder when l(-2) is divided by f(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.38. Let k = a - 2.08. Let x = k - -2. What is the third biggest value in x, 0.4, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24056564\/191 or -125952?\nAnswer: -24056564\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333921543 is divided by 697?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 4*h - 7*h + 19, 0 = -3*h + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from wwawwaaawawadaaaa?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 12764997.\nAnswer: -4\/12764997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + d**2 + (d + 0 + 0)*(2*d - d + d) + (2 - 2 - 2)*(11*d + 13*d - 12*d)*(5 - 2*d - 5).\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*m - 814 + 262, -15 = 3*a. Is 45 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586 * -15\nAnswer: -8790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127104 by -4.\nAnswer: 31776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2410546.8 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 12, -3*k + 3*b + 635 = -70. What are the prime factors of k?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.6 (b) 3\/466 (c) -2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*i - 0*i, 0 = -2*h - 4*i + 4. Let a = 2 + h. Let o = -473 + 472. Sort -5, o, a in increasing order.\nAnswer: -5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236704 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677740694.\nAnswer: 2, 631, 537037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 890 + 898. Let t = y - 226. Suppose 0 = -7*q + t + 115. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 22*a + 3. Determine c(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -73, -2\/13 in descending order.\nAnswer: -2\/13, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 - w - 4. Let g be f(-3). Let a = -5 + g. Find the third derivative of -6*j**2 - 7*j + 4*j + a*j + 4*j**5 wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**3 + 8*k**2 + 8. Let j(r) = 9*r**3 - 5*r**2 - 5. Let l = -56 + 61. Calculate l*z(i) + 8*j(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/(-1))*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 - 8*r + 13. Let k be c(-7). Suppose -a - 3*a = 3*n + 20, 5*n = k. What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 7 + -1*(2 - 0). Solve -3*w = i - 8*w + 12, 8 = y*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*q + 295 - 57 = 0, 5*x - 2*q = 601. Is 6 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61105.\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3 = h. Suppose -2*l + 0*q + 7 = -q, h*l + q - 8 = 0. Let o(d) = -d**3 + 2*d**2 + 3*d + 1. Determine o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 6*s**3 - 57*s**2 + 84*s - 36.\nAnswer: 3*(s - 2)*(s - 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 8*y + 12. Let q(h) = -h**2 + 12*h - 17. Determine -7*m(c) - 5*q(c).\nAnswer: -2*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (781 + 603 - 70 + 270 - 198)*(-2*a**2 + 4*a**2 + a**2).\nAnswer: 4158*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/33 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 66.349?\nAnswer: 132.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.32, 1, 104, 38, 0.5, 2 in decreasing order.\nAnswer: 104, 38, 2, 1, 0.5, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 1830599896507.6.\nAnswer: 1830599896510.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1125060 (base 8) to base 4.\nAnswer: -1022220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65262 and 4380.\nAnswer: 652620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:55 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -17. Let a(v) = -6*v - 2. Suppose 5*y = 2*h - 5, 5*h - 7 - 28 = 5*y. Calculate the lowest common multiple of a(w) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-1 - 2) + 57 + -54?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, x: 1, e: 3, j: 2, y: 3, s: 2}. What is prob of sequence sx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n + 33. What is l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -3.2. Let g = 2.9 + s. What is the nearest to g in -2, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3 + 357262\/14682.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -32 and 24420751351.\nAnswer: 24420751319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = 2 + 33 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 595*q**3 - 3*q - 80*q**2 + 294*q**3 + 300*q**3 to the form b*q + i + y*q**3 + h*q**2 and give h.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 2 + -2 + -5)**2*3.\nAnswer: -150*sqrt(19) + 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -6 - -3) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*g**3*j**2 + 8*g**3 - 2*g**2*j + 5350*g*j - 11*j**2 wrt g?\nAnswer: -2040*g*j**2 + 48*g - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113498 and 86.\nAnswer: 4880414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1)*6 + 1 + 3.\nAnswer: -2 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (2 - -12) - (5 + 10 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190832*q**3 + 1120*q - 835207015 with respect to q.\nAnswer: 572496*q**2 + 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 divided by -8?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 1 - 1)*(13*x**3 + 23*x**3 + 5*x**3) + 3*x**4 + x**4 - 2*x - x**3 - 2*x**4.\nAnswer: 84*x**4 - x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2. Let s be 17\/1 + 0 + -3. Suppose -4*i + s + 2 = 0. Let r(d) = -3 - 1 + i - d. Give r(m(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7244 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -22 + 9 - (-3 - -2). List the prime factors of a\/9*(-354)\/4.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/(-10)*(-5)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.170878mm in kilometers?\nAnswer: 0.000001170878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 104576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117)*-1 + -4)*4.\nAnswer: -12*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 1, a: 5, t: 4}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246843771*y**5 + 111559*y - 1967.\nAnswer: -4936875420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.7647552 and -28.\nAnswer: -30.7647552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 5 (c) 320 (d) -2 (e) -72 (f) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 14 + (-1 - -1). Calculate the highest common factor of 119 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.6753 centimeters to millimeters.\nAnswer: 5716.753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 - -4967?\nAnswer: 48a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 5*l + 7. Let g(o) = 3*o**2 - 5*o + 7. Let z(d) = 3*g(d) - 2*v(d). Calculate z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(121)\/(3*(sqrt(11) + sqrt(99))) + 5)*1)**2.\nAnswer: 5*sqrt(11)\/6 + 3611\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*v + 28*v = -9*v - 7314 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/1*-24*(-21)\/(-189).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - -6.5. Let p = o - 10. Let x = -3 + p. Which is the third biggest value? (a) 2\/9 (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 195\/16258 (b) 11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -34019 and -34016 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-3 - (0 + -2))) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 243*-1\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p - 219936 = 13*p. List the prime factors of p.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**3\/3 - 3*x**2\/2 + x + 9. What is f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45550 + 420?\nAnswer: -45130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.8 (c) -118 (d) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4 + 4*j**3 + 24*j**2 - 16*j - 64 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 + 97*s - 1591. Give a(18).\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.4468 and -15815.41?\nAnswer: 15812.9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-5))\/(8\/(-100)). Let y be 55\/l + 1\/2. Let z(g) be the third derivative of -g**5\/15 - 58*g**2. Let f(x) = 5*x**2. What is y*z(i) + 5*f(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 2*b**2 - 4*b**3 - 2 - 2*b to the form z*b**3 + i*b**2 + t + n*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 10479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*h + 149*h + 223*h - 37*h + 46*h to the form p + u*h and give u.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2164.1616 minutes?\nAnswer: 1.50289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 + 3*a - 3. Let s be 2 - (-3)\/((-2)\/(-2)). Suppose s*o = -0*o - 25. List the prime factors of u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1104)\/(-32)*6\/((-108)\/130). Is -248 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 1 (c) -138\/11 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02688724 - -7?\nAnswer: 6.97311276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - b = -15, 2*c + b = -3*b + 36. Suppose -2*o = -5*o + c. Suppose -12*y = -5*y - 84. What is the smallest common multiple of o and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834048 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30400*v + 428*v**2 + 1795*v**3 - 30402*v + 121*v**2 wrt v?\nAnswer: 10770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a**2 - 2. Suppose 4*x = -z - 3, 4*x - 3 = -5*z - 2. Let u(h) = -h**2 + 1. Suppose 0 = -4*l + 9*l - 10. Calculate l*u(d) + z*f(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6484.1 - 6527. Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(20)\/sqrt(4)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233 divided by 1329.\nAnswer: -233\/1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + c**4 + 4*c**4)*(360 - 360 - 16*c).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -2189.3581863251?\nAnswer: 2190.3581863251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -40126921?\nAnswer: 40126920.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115853, -116872, -118569, -120944, -123997?\n\"Answer: -339*h**2 - 2*h - 115512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153383141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-2) - -2)*582\/97.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-10))\/v)**(-26))**15 assuming v is positive.\nAnswer: v**3900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -78 (c) 771 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 9*y**2 + 10 - 10 - 2*y + 7*y**2 + 2*y**4 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 375.883032 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 13322012?\nAnswer: -13322003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/((-2)\/(-102)). Suppose -3*x + 13 + j = 0. Solve 0 = y + y - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1781*u + 87 = 1784*u. Solve -24*k = -u*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1764\/39)\/14)\/(117\/(-39))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 515\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -5*c + 7. Is 4\/20 - 198\/c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31578.\nAnswer: 2, 3, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {a: 1, o: 1, b: 3, i: 5, q: 5, w: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226949\/28668 - 1\/4778. Suppose 0 = -5*n + 20, 3*j - 2*n + 2238 = -2*j. Calculate the common denominator of f and 3 + (2 - j\/(-36)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 464 - 470. Let f be (1\/(-2))\/((-6)\/4). Let m = 3.6 + -3.7. Which is the second biggest value? (a) m (b) 0 (c) f (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-119)\/((-21)\/3)*1\/1. Let v(j) = 25 - 13*j - 9*j + j**2 + 4*j. Let k be v(x). Solve -c = -5*c + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -384, -391, -398, -405?\n\"Answer: -7*i - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*g + 401 - 2943. Sort g, 2, 5, 1 in descending order.\nAnswer: g, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000047092792 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40368 is divided by 374.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674587 is divided by 848.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/17319 - 1079554\/51957. Let j = v + 409\/9. Calculate the common denominator of 67\/3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87.222 + -87. Round z to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 348, 346, 366, 414, 496, 618?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:29 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/26)\/(-76 - 112575\/(-1482))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/14 and -19\/624685974.\nAnswer: 4372801818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4 + 47554*n**3 + 47552*n**2 - 47554*n - 47553 = 0?\nAnswer: -47553, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/11944288 and 131\/6.\nAnswer: 35832864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 758.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.77091*-0.04\nAnswer: 0.1108364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 23 = -5*a - 2*k, 0 = -a + 3*k + 26. Suppose 4 = a*o - 40. Suppose -3*q = -0*q - o*q. Solve 0*r - 4*r - 4 = q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - 15) + -12 + -2 + 22?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -10276\nAnswer: 41104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in 0.3, 395.04, 0.03, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 27193*y**2. Let g(j) = -3*j. What is g(m(x))?\nAnswer: -81579*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 5, 69 in descending order.\nAnswer: 120, 69, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7*l + 178, 30 = 2*l - 2*k - 26. What is the remainder when 286 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 3*z - 462. Which is the closest to -10? (a) z (b) -3\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74887458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 6. Let a(g) = -2*g + 70. Give 2*a(p) + 2*y(p).\nAnswer: -2*p + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4536609 at most -4536599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.35 rounded to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -273 + 272.9741. Round f to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(10954\/2738 + -33 + 29)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.07 - -14.07. What is the closest to -0.1 in 2\/9, u, -478?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1070)\/(-2354) - 6\/(-11). Calculate the highest common divisor of 25 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 2. Let l be h(2). Let i = 0 + 0. Suppose z - 2 - 10 = -4*f, i = -2*f + 6. Solve l*b - 3*b - 13 = o, z = 5*b + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/30 + -5*(-157089)\/225 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-180))\/((3\/1)\/(-15))*9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(2\/7)*a)*a*a)\/a*a)\/(a*a\/a**(1\/7)))\/(a\/a**(3\/4)*a**1)*(a**1)**(5\/3)\/(((a**3*a)\/a)\/(a*a**4)) assuming a is positive.\nAnswer: a**(191\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(528\/(-210))\/(-22).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.06. Let z = v - 5.05. Let l(g) = g**3 + 9*g**2 - 9*g + 14. Let q be l(-10). Which is the closest to 1\/11? (a) -4 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -87, -0.2, 0.1, -1, -3, -0.33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-3948)\/(-3) - 3. Round i to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550390126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41026 (base 7) in base 9?\nAnswer: 14604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(4\/11)*d*d\/d**(-1\/6) assuming d is positive.\nAnswer: d**(185\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q + 1. Let r be w(-1). Let a be 2*32\/((-4)\/r). Let v = a + 36. Solve -5*g - 3*c + v = 0, 4*c - 24 + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53607*k - 16650 = -53829*k for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:05 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 - 20040?\nAnswer: -20321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 1080480*t + 28089776.\nAnswer: 4*(t + 26)*(t + 270094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-3))\/((-4)\/54). Calculate the common denominator of 97\/4 and (-55)\/l + (1 - -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 125, -11, -9, -6 in decreasing order.\nAnswer: 125, 0, -6, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494365?\nAnswer: 5, 47, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31b652 (base 12) to base 15\nAnswer: 10837b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000062499 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Suppose -3*s - 70 + 76 = 0, 4 = -3*v - s. What is the nearest to q in v, 2\/11, 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*m - 57*m - 7 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 640, 943?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 16, 11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 452791051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26537 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 + 19579 + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 119*l - 2210. Solve l*j = 3*j + 84 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2327)\/(-13)*(-3 - 2 - 0). Let w = 897 + m. Suppose 3*r - f + 17 = -6*f, -r = -3*f - 13. What is the lowest common multiple of r and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 690 = -3*i. What is the second derivative of -21*o - 61*o**2 - i - 56 + 100 wrt o?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 10211032100?\nAnswer: 10211032102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 485\/49246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 2. Let k = 31 - 18. Suppose -k - 12 = 5*n. Give p(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 3, 0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - 646\/(-38)) + 38\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28112029, 28112028, 28112027?\n\"Answer: -i + 28112030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + i - 53 = 0, -4*i = -t - i + 23. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1418, 2833, 4248?\n\"Answer: 1415*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-142.755.\nAnswer: 1427.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23873*f + 6396 = -47802*f + 23851*f for f.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) -3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(9\/(-48)). Suppose -5*t - 10 = -2*b - 0*t, -4*t - c = -b. Solve b = -3*s - 1 - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -816 + 885.4. Let i = j + -69. Sort 5\/6, -3\/7, i in ascending order.\nAnswer: -3\/7, i, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 + 14*h**2 - 7 + 2*h**2 + 1125*h**3.\nAnswer: 1125*h**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s - 129. Let v be g(10). Suppose 0 = 2*d - r - 301, 8*r + 313 = 2*d + v*r. What is the smallest common multiple of d and 2?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 + -0.25. Sort 0, -1, b in ascending order.\nAnswer: -1, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 738984*s - 2955910. Give w(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*n - 1524 = 320*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.5198988 + 8902.\nAnswer: 8916.5198988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -0.5, 6\/11, 0.045, 26\/7 in decreasing order.\nAnswer: 26\/7, 1, 6\/11, 0.045, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/26)\/(-3 - (-80)\/26). Solve -7 = s - 2*v, 5*s + p*v - 3*v - 10 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/85 - (-19818)\/10. Suppose 2*l + v = -0*l. Let r = -418 - l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (18 - -1 - (56 - 44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84983?\nAnswer: 17, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -671\/2 + 359. Find the common denominator of o and -19\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/12 - n**3\/3 + 3*n**2\/2 - 5*n. Let l(q) = -35*q + 36*q + 6 - q**2 - 5. Let r(c) = -2*l(c) - m(c). What is r(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.43? (a) -0.44 (b) -2\/3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 66. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 18*p = -12*p. Suppose -2*j - 3*v = -16, -5*j + 23 = -v - p*v. Solve -j*t + g = -0*g, 18 = 2*t - 4*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37100 - 42963 = 1428*a + 698*a + 77261 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 215, 671, 1545, 2975?\nAnswer: 5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2904\/1475 + -43\/59. What is the common denominator of z and 66\/35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 862 and 14.\nAnswer: 12068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 310, 462, 614, 766, 918?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 139. Let k be m(22). Let a(l) = l + 3. Calculate a(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*l = -7*w + 19, 3*l + 34 = 5*w. Let c = 6 - 3. Suppose -45 = -5*v - 5*f + f, -45 = -w*v + c*f. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**3 - 5*w**2. Let i(o) be the first derivative of -o**4\/2 - o**3 + 4. Let a be ((-232)\/16 + 7)*4\/6. Calculate a*i(l) + 3*c(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 38*f**3 + 13*f**3 + (4*f**3 - f**3 - 2*f**3)*(1 + 4 - 2).\nAnswer: 51*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 56 = 19. Let z be 10\/4*20\/q. Suppose -z*i + 3*i - 200 = -2*x, -498 = -5*x - 2*i. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 5, 6, -925, -5\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y + 4. Let l be o(9). Suppose l*v = v + 21. Let f(m) = 13*m - 4. Is f(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735342846.\nAnswer: 2, 3, 691, 300317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m - 4*m + 2*m. Let p(x) = 4359441 - 4359441 + 12*x. What is p(a(d))?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -18*h + 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2535*q. Let z(j) be the second derivative of -j**3\/2 + 8746*j. Give a(z(d)).\nAnswer: -7605*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) - -1*-1*sqrt(99))\/sqrt(9))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:33 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63879.58 centuries?\nAnswer: 6387.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -13. Solve 0*o - 3*o = -12, -5*f = o + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2538288)\/(-36) + 44\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1574*i + 1571*i = -2*t + 177, -2*i = -t + 87. Suppose 3*o - 17 - 31 = 0. What is the remainder when t is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.908 + -2.092. Are b and 164 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188422*h**3*l*x - 2*h**3*x**2 + 822*h**3*x + h**2*x**2 - 14*l*x**2 + 1910*x**2 with respect to l.\nAnswer: -188422*h**3*x - 14*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g + 12. Let x(p) = 53*p + 34. Let o(z) = 6*x(z) - 17*y(z). Let c(r) = -4*r**2. Calculate o(c(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:56 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3572)\/(-282))\/(18\/(918\/(-17))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 1057\/257 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -146632 (base 7) to base 5\nAnswer: -1410121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 + 6223a?\nAnswer: 621a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 30. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339456 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 18*m + 75. Let a be 12\/(-9)*(12062\/(-1480) - (-14)\/10). Give y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1925\/(-22) + (-4)\/8. Let h = n - -95. Solve -2*q + 16 = -5*r, h = 3*q - 0*q + r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 60. Let u be (-4)\/14 + 300\/p. Suppose -4*i + 3*i - 4 = -o, i = 3*o - u. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*q - 298, -2*n + 116 = 2*q - 4*n. Let s(a) = q*a**2 - 171*a**2 + 86*a**2. Let f(x) = x. Calculate f(s(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:28 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0*h**6 + 0*h**5 - 12*h + 0 + 0*h**2 - 3\/14*h**8 + 0*h**7 + 35\/12*h**4 + 0*h**3. What is the third derivative of g(l) wrt l?\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505\/85 + (-1)\/(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y**2 + 31*y + 1. What is w(-9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/9))**(-24))**(-23))**46)**(-1\/16) assuming a is positive.\nAnswer: a**(-1058\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2*y**(1\/8))\/(y**(-2)*y*(y\/(y\/y**(-1\/3)))\/y))**46)**(-10\/7) assuming y is positive.\nAnswer: y**(-12305\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26330814 to the nearest integer?\nAnswer: 5131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521923 is divided by 714.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from jrjjqrjqjdjdjj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 2*r + 2 - 3. Give f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*x = 204*x + 8. Let y(r) = r + 3. Let h(a) = -2*a - 4. Determine x*h(i) - 5*y(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 3 (c) -8\/7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 5*d - 560. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 15*k = -9*k - 18, 4*k = -4. Let g = 10 + 1. Suppose 2*z - 5 = g. Calculate the lowest common multiple of j and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206252409 and 542.\nAnswer: 412504818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -3584200.72?\nAnswer: -3584200.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -17. Let m(p) = -14*p + 8*p + 8*p + 1 + i. What is m(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*s**4*z + 3*s**3*z**2 - 6*s**3*z + 166*s**2*z - 25*z**2 wrt s?\nAnswer: -3312*s*z + 18*z**2 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4883 and 9709969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 926438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-63))\/(-6*(-13)\/468)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -206, -204, -202?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90349 is divided by 2279.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*j = 121 - 603, l - 241 = -j. Let z = 244 - l. Solve -q = -z*w + w, -w = -2*q - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - u = -2*u - 5, -r = 4*u + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1918 - 772.1918. Let k = 862.1 + x. Let y = k - 90. Which is the third smallest value? (a) -4\/5 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 7:37 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 - 148*d - 77. What is g(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 263, 255, 331, 533, 903, 1483?\n\"Answer: 7*s**3 - 57*s + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1628, 1649, 1666, 1679?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122835751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 67*r - 17. Let g(n) = -22*n + 6. What is 8*g(s) + 3*o(s)?\nAnswer: 25*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(((-50)\/(-24))\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:02 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4309, -8673, -13037?\nAnswer: -17401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + (sqrt(684) - (-3 + 1*sqrt(684) - sqrt(684))))*6.\nAnswer: 18 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 - 77990*s**3 + 387007740*s**2 - 506368989000*s - 521663974392960 = 0.\nAnswer: -656, 5418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1038.64621 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than 2\/249895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, -155, -0.2 in ascending order.\nAnswer: -155, -3, -1, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + v**3 - 4 - 1 + 4 + 5*v**2. What is the units digit of o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 452 - 451.95504. What is n rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5\/2 - 6*y**4 - 171*y**3\/2 + 258*y**2 + 336*y = 0. Calculate y.\nAnswer: -7, -1, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*r - 13*r + 70*r)*(-45 + 20*r**2 - 17*r**2 - 2*r**2) to the form m*r + o*r**2 + a + j*r**3 and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-10)*15\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/5 + t**3\/6 - 15*t. Let y be v(-1). Solve 6*m = 3*m - y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(88) + 2*((sqrt(88) - (sqrt(88) + sqrt(88)*6 + sqrt(88))) + sqrt(88))))\/(sqrt(1152)*4 + sqrt(200) + (sqrt(200) - 4*sqrt(200))).\nAnswer: 110*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361821 = 16*n - 44*n - 362353 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 (base 12) in base 16?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2. Let o(s) = 4*s**2 - 3*s**2 + s**2. Determine o(k(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/((i\/i**(-28))\/i))\/i)\/(i*i\/(i\/i**(-1\/9))*i) assuming i is positive.\nAnswer: i**(-260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7 = -2 - 2 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.0282218us in weeks?\nAnswer: 0.0000000002745175625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 2*x + 4. Let f be o(-3). Let d = 42 + f. Let p = -9 + d. Is 4 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239705 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: What are the prime factors of 1395514232?\nAnswer: 2, 7, 24919897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h - 1433 = 619563. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46736)\/4232)\/(60\/690)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeae. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10 + 1222*f**2 + 14 - 4 - 1224*f**2. Let q(i) = -34*i**2 - 6. Give q(y(d)).\nAnswer: -136*d**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42867278323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*2)\/(48\/(-1416)). Suppose h - 10 = 2*k + s, -5*k + 123 = 2*s. Solve 0 = 21*t - k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053.71 rounded to the nearest integer?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2965 + -870. Suppose 10*y - i = 2345. Suppose -2*v - 4*u + 706 = -y, -v - 5*u + 578 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = 4*o - 25, 4*f - 5*o - 2 = 0. Let y = 2760 + -2756. Solve 7 = f*g + y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, r: 2, e: 1, m: 8}. Give prob of picking 2 r, 1 m, and 1 e.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504 divided by -4?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 8) to base 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 34*j + 30*j = 16, 2*o + 12 = -2*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -562.94 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 45*m**3\/2 + 2*m - 54. Let h(i) = 26*i. What is n(h(g))?\nAnswer: 3510*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 45697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 1170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 14*k + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/1 + (8\/10)\/(104\/1430). Put -12, 12, y in decreasing order.\nAnswer: 12, y, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3237 minus -0.13?\nAnswer: -0.1937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y + 100. Let j be g(12). Suppose 25*b = 34 + j. Solve b*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*z + 11*z + 37*z)*(z**2 - 208*z + 208*z + 55).\nAnswer: 95*z**3 + 5225*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -57. Suppose -2*n + 3*j = f, 0*n - 5*j = -n - 41. Let r = n + 38. Solve 10*k - 12 = r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoookzkzvzzzkzozzzk. Give prob of picking 1 v and 1 k.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 408, 596, 904, 1356, 1976, 2788?\n\"Answer: 4*x**3 + 36*x**2 + 52*x + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876012.\nAnswer: 2, 173, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/6 - 20*l**3\/3 + 12*l**2 - 4902*l. What is p(20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 9 = 25. Let z = 0 + y. Suppose -z*c = c - 110. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = a, -j - 62*a - 9 = -65*a. Factor -8 + 0*m + 12 - 4*m**2 + 10*m**3 - 4*m - 6*m**j.\nAnswer: 4*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*l = -8, -4*j - 5*l - 1 - 31 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*a + 4, -3*x - 3*a + 6 = -9. Let i be 23\/2 + 2\/x. Solve r + 2*r + i = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 8\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 17*r**2 + 1583*r + 190. Let j be b(-93). Solve 4*p + 5*h = -28, p - j*h - 22 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**6\/30 + 4*r**5\/25 + r**4\/4 + 2*r**3\/15 - 5. Determine a, given that s(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/7))**34)**24 assuming v is positive.\nAnswer: v**(4080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 0.1748?\nAnswer: -6.6424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112343 divided by 20.\nAnswer: -112343\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - 17)\/((-5)\/7). Let i be (-4)\/8*(0 - 0). Suppose 4*g = -4*v + 8*v - 36, 3*v - 2*g - 22 = i. Solve -f + s = -u, -u = -v + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*b - 6 = 187*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (270\/(-6))\/(-1 + 0). Let c be (-2)\/15 + 96\/t. What is the third derivative of -4*u**c - u**4 - 2*u**2 + 0*u**2 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -459, -474, -493, -516?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 319445072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109374 minus 6.57147?\nAnswer: 109367.42853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 32*h + 3. Let c(y) = -y - 1. Give 4*c(u) + i(u).\nAnswer: -2*u**2 + 28*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -587*y**2 - 16430*y + 154. Determine u(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (369\/(-315) - (1 + -2))*(-250)\/30. Factor 16\/7 + p*z**2 - 44\/7*z.\nAnswer: 2*(z - 4)*(5*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10114 + 10114 + 1768*d**2 + (-2 + 3 - 2)*(5*d**2 - d**2 - 2*d**2) to n + r*d**2 + x*d and give r.\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w - 35. Let c be i(7). What is the nearest to 2\/9 in -0.1, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13842418*p**5 - 134*p**2 + 45*p + 33.\nAnswer: -830545080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - ((4 - (12 - 5)) + 14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3252568.\nAnswer: 2, 11, 23, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose 0 = -b*o - 1 + 5. Let r = o + 0. Solve 0 = r*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 18. Let y(b) = b**3 - 6*b**2 + b - 3. Let n be y(x). Which is bigger: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48600 - 25758023\/530. What is the common denominator of y and 47\/53?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585106 is divided by 330?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3300 + -2042. What are the prime factors of o?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 - 201. Solve n*l - 7 = 5*y, 2 = 3*y - y - 2*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 + 7*y - 4. Let g(p) = -7 + 1 - 7*p**2 - 1 + 14*p + 0. Let h(b) = -2*g(b) + 5*r(b). Let v = 13 - 6. Calculate h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*i + 6*i - 74 = 0, 3*n = -i + 211. Suppose 4*j - 12 = g, 0 = -5*g + 1 + 19. What is the common denominator of j\/14 - 1455\/n and 87\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 260 = -56. Let g = 275\/4 - d. Which is the nearest to -0.1? (a) -2 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 0*r - 3 - 24*r - 31*r**2 - 13*r + 8. Let g(v) = 47*v**2 + 56*v - 8. Let n(x) = -5*g(x) - 8*m(x). Find the second derivative of n(s) wrt s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993065133.\nAnswer: 8941, 222913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10*m + 15 = 4 - 19, -69*m + 237 = 10*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, t: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**2*d**2 + 13*b**2 + 59*d**2 + 4 with respect to d.\nAnswer: -16*b**2*d + 118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 4. Let r be k(6). Suppose 0 = 3*g - 10 - r. Suppose 0 = g*u - d - 112, 3*d = 5*u + d - 143. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130)*-1 - sqrt(130)) - sqrt(130))\/sqrt(10).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*s**4 - 377*s**2.\nAnswer: -2856*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11808\/(-2214) - 4\/(-3). Let x(z) be the first derivative of 3*z**2 + 9*z - 1. Let t(u) = 3*u + 5. What is o*x(d) + 7*t(d)?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 20. Is 0.2 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3*i**2 - 6*i - 3. Let u be q(-2). Let f = 22 + -29. Let z be 2\/(-14) - 36\/f. Solve 3*m = 4*j + u, z*m = 3*j + 7 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(-48)*v**9\/(v**(2\/9)\/v))\/((v*v\/(v*v\/(v*v\/v**(1\/9))))**(-2\/3))**27 assuming v is positive.\nAnswer: v**(610\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 25)*(6*h - 10*h - 2 + 8*h) to m + i*h and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3140751, 3140750, 3140749, 3140748, 3140747, 3140746?\n\"Answer: -m + 3140752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21823, -21794, -21763, -21730?\n\"Answer: n**2 + 26*n - 21850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let y(m) be the second derivative of m**4\/12 + m**3\/6 - m**2\/2 + 5*m. Let a(b) = 3*x(b) - y(b). What is a(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = -0, -4*n - 10 = -3*r. Let l(w) = -5*w**2 - 3*w + 1. Let i be l(r). Let u = i + 48. Solve 5*j - a = u, -2*a - 13 = -4*j + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077437390?\nAnswer: 2, 5, 307743739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) -0.3 (c) 0.06 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7488) - (-1 + sqrt(7488) - sqrt(7488)))*-2 + -1 - (sqrt(7488) + 0 + sqrt(7488) + -1 + 2))*1)**2.\nAnswer: 768*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 46 - 13*q - 66.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246923 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-48)*-12)\/((-1)\/((-1)\/3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z = 3*w + 38*z - 22, -4*z = -w - 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111106 - 111106 - 135*a**3.\nAnswer: -135*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2507361 to 2 dps.\nAnswer: -3.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m + 3. Let c(b) = -16*b**2. Give w(c(u)).\nAnswer: -240*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmlllelmlmmml. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*l + 3 = 0, -l + 29 = 4*c + 2*l. Suppose -3*z + 9*s - 9 = 14*s, 0 = -5*z - c*s - 5. What is the greatest common factor of 5 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:15 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664400326 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, 0.2, -14\/5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 20, 2.\nAnswer: -4, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33968 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(252)\/sqrt(7)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**2 + 0*j - 5*j**2 - 6*j wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4714651 + 7029544229\/1491. Let g = -4303\/18105 + 21\/85. Let i = g - q. Which is the third smallest value? (a) 0.5 (b) i (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55370 and 102830.\nAnswer: 719810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3221 - -566. Let a = f + 2644.23. What is a rounded to 1 decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3180 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.9 + 5.9. Let t = 2 + h. Let y = -17 - -17.1. Which is the third smallest value? (a) y (b) -6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.2. Let w = 212719\/17 + -12509. Let u = -428\/119 + w. Which is the biggest value? (a) -2\/3 (b) n (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18654 = -15*c + 16*c. Suppose 5*r + r = c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/19729 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*w + 43104, -4*w + 158*j = 153*j - 57508. What are the prime factors of w?\nAnswer: 2, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 + 0.05. Let b = -0.1999982 + c. What is b rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708 and 8083.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2961, -4, 1590 in increasing order.\nAnswer: -2961, -4, 1590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 5. Let p = 33 - 46. Let t = 18 + p. Suppose -l = -4*o - 1, -3*l - 5*o = 9 + t. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.32*29\nAnswer: -9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -48.02?\nAnswer: 47.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*w + 15569 = -5*w, -2*c + 7797 = -3*w. List the prime factors of c.\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98412 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 76 = 71. Suppose -g + 7 = 5*m, -3*m - 4*g - j = -12. Do m and -1\/226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 - 3*f**2 + 3*f**2 + (0*f**2 + 2*f**2 - 3*f**2)*(10 - 10 - 21*f**2))*(14 + 22 + 1).\nAnswer: 629*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 226545020.\nAnswer: 226545020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 - 334. Suppose -1 = -2*u + 3. Let p(x) = 12*x - d - u*x - 6*x. Let k(w) = w**2. Calculate p(k(i)).\nAnswer: 4*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (36 - 7 - 32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2708 = -5*s - 2*d - d, -5*s + 2*d + 2703 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -10*s + 21 + 9, 15 = 5*s + 2*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -48*g**3 + 4*g**2 + 10*g + 3. Suppose -3*r - 5*d + 0*d = -19, 18 = -4*r + 2*d. What is the units digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 14*l + 5*i = 0, -2*i = -l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -53622710+0.61556\nAnswer: -53622709.38444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, -37, -153, -315, -523, -777, -1077?\n\"Answer: -23*q**2 - q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 - 5*o + 4. Let m be u(1). Differentiate 11*p**m + 4 + 3 + 2*p**3 + 5 with respect to p.\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3032 - 232*k**2 + 2972 + 238*k**2.\nAnswer: 6*k**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 5. Calculate the remainder when (-2)\/5 - (-126)\/15 is divided by y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 20 = 62*m + 3*x, -6 = -6*m - x. Find o such that 0 - 6\/13*o + 2\/13*o**m = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.8 + -0.8. Let d = -4 + z. What is the nearest to 0.1 in -5, d, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -600.5 + 602. What is the nearest to 3 in -1\/4, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220320534*w**4 + 115381147*w**2 wrt w.\nAnswer: -5287692816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.021 in 0.2, -0.1, 0.16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 3 - 423 = -r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-2) - (-2)\/(-4). Suppose 3*c - 139 = 26. Suppose c = v*b - h + 400, -b + h = 117. Round b to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - -5 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 35*y - 9. Let t(j) = 29*j - 6. Let k(g) = 6*t(g) - 5*x(g). Calculate k(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 2, x: 7}. What is prob of sequence hhx?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 135*u**2 + 243*u + 4249. Calculate k(137).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24 = -2*g, 4*k - k - 36 = -3*g. Let s = -13 + 79. Let d = s - 18. Calculate the greatest common factor of k and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (476 - 943 - 4970)*(4*z**2 - 4*z**2 - z**2).\nAnswer: 5437*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11893, 46404, 103921, 184444?\n\"Answer: 11503*v**2 + 2*v + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/136 - 3)*(-308)\/(-231)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.1. Let q = 0.007 + 2.993. Let o = q - a. What is the biggest value in 4, -5, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 216\/52 + (-4)\/26. Suppose -4*t + 2*r + 28 = -3*t, s*t - 3*r - 117 = 0. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-4*sqrt(68) - sqrt(68))*-6*-5)\/(sqrt(256)*2 + sqrt(256) - sqrt(64)*5).\nAnswer: -315*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -3501214?\nAnswer: -3501214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/8)\/1)\/(95 - (151 + -47))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (350\/(-210))\/((-10)\/84). Solve 16*a + 2 = g*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21270 - 21265. What is the second smallest value in -2\/523, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 2*c - 1. Let s be f(4). Let w(a) = a**2 + a - 1. Let b be w(0). Let u = 23 + b. What is the highest common divisor of s and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000138972 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9.289 = 788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -413665318 divided by -1?\nAnswer: 413665318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 29*p**3\/3 - p**2\/2 - 403*p. Let t = -23 - -32. Is w(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*c + 39*c - 65*c = -94*c. Find h, given that c + 2\/5*h**2 + 3\/5*h**3 + 0*h**4 + 0*h - 1\/5*h**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 5*m**2 - 6*m + 7. Let h be 1*18\/((-9)\/(-3)). Let y = h + 9. Let t = 9 - y. Determine a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 72 - 2*h - 149.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7490 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0726 - -0.0726. Let v = -0.3 - 2.7. Put 1, u, v in descending order.\nAnswer: 1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 244, 894, 2174, 4294, 7464, 11894?\n\"Answer: 35*i**3 - 15*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -75*q - 5. Let v(l) = -37*l - 3. What is 4*b(g) - 7*v(g)?\nAnswer: -41*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 2*p - 34, 5*m - p - 79 = 0. What is the second derivative of 8*n**3 + 15*n + m*n**2 - 38*n**2 + 22*n**2 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 6*w + 1. Let j be b(6). Let z be (2\/6)\/(j\/(-6)). Let p = 2 + z. Solve p*v + v + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.635 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 373381?\nAnswer: 373385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 0. Let w = h - -5. Let u(c) be the third derivative of c**5\/15 - c**4\/24 + c**2. Give u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:03 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 + -228. Does 81 divide f\/(-3)*-27*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/10 + 3*m**4\/10 + 7*m**3\/10 - 11*m**2\/10 - 3*m\/5 + 4\/5 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52143.74 days?\nAnswer: 1251449.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:49 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(35\/(-15) + 2). Suppose 0*a + 48 = a. Suppose o = -2 - 1, 4*o = 2*j - a. Solve -c*b = -4*g + 45, 0 = -b + 4*g - 7 - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 445 = -m, -952 = -4*v - 4*m - 44. Let g = -206 + v. What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/(m\/(m\/(m\/m**(-1\/8)))))**(2\/29)\/(m**(2\/5)*m**7)**(-45) assuming m is positive.\nAnswer: m**(38635\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/((-210)\/(-2)))\/((-79)\/474))\/(1\/25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5962.\nAnswer: 2, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/136 + (-727364)\/(-17) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2584377 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9076, 36430, 81980, 145696, 227548, 327506, 445540?\nAnswer: 581620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 2*w - 1. Suppose -2*j - 6 = 4*u + 4, 0 = u + j. Let v(l) = -l**3 - 5*l**2 - 2*l - 7. Let a be v(u). Determine h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 129437.\nAnswer: 10\/129437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -2012?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -14.7. What is the second smallest value in b, 0.4, 0.5, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8824249 litres?\nAnswer: 882.4249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let h(m) be the third derivative of 0 - 1\/5*m**5 - 11*m**2 + 0*m**4 + 0*m + 0*m**3. Determine l(h(i)).\nAnswer: 144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 - (0 + -2). Let f = -522 - -1373\/3. Let d = f + 65. Is d < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15 = 2*v, 0*o + 9 = -3*o. Let s = v - 10. Suppose -3*z - 7 = 2*m - m, -s*m = -5*z - 8. What is the nearest to m in -2\/7, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 4*n - 4. Let b be z(-6). Let d be b\/6*(-6)\/(-4). Differentiate -21*r**d + 5 + 21*r**2 + r**3 with respect to r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/13*-2)\/1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(21)*-2)\/sqrt(7) - 5*(-4*(sqrt(3) + sqrt(3)*1))**2.\nAnswer: -960 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-4) + 45\/(-90))\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + 2*v**2 + 4*v - 3. Let d be g(-2). Suppose -d*r - 37 = -385. Solve 5*z - 20 = 0, 4*b + 4 = z - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 6*i + 64. Suppose -7*a = -i - 5. What is the third derivative of -5*j**2 + j**2 - a*j**2 + j**2 - 8*j**3 wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 23*a + 10. Let w(o) = -5*o - 2. Let u(y) = -f(y) - 5*w(y). Let t(x) = 1037*x + 3. Calculate u(t(j)).\nAnswer: 2074*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3268? (a) 0.5 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 15*k**2 + 15*k + 18. Suppose 2*d - 7*d + 80 = 0. Let v be y(d). Let z = -15 - -16. Solve -v = -4*p - w, 3*p - 2*p = -w - z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 17*c - 47 + 14 + 11 + 12. Suppose 0 = -4*m + 2 - 66. Let a be y(m). Solve 2*n = -n + a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4738, -4092, -3444, -2794, -2142, -1488, -832?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -414414.7648 rounded to the nearest one hundred?\nAnswer: -414400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, 9 in ascending order.\nAnswer: -2, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -25*s. Let j(p) = -15*p - 108. Let k(v) = -v + 18. Let n(w) = -j(w) - 6*k(w). Give n(r(z)).\nAnswer: -525*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -86.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + 456\/15. Suppose f = 3*j + 6. Suppose -j*p + 4*p = -44. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1276 and 328108?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1903 + 3258. Suppose 2*j - l = -2*b + 3*b, 0 = 5*b + 25. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -812\/34971 or 1?\nAnswer: -812\/34971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -478 or -5268\/11?\nAnswer: -5268\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 72. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780971951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71166903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/3 and 67\/501.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 22118?\nAnswer: -22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/4 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) 1\/2 (d) -1.8756618\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5822 and 1136?\nAnswer: 46576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81 + 78)\/(2\/6*78)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 3*n - 7, 4*r = 2*n + 18. Suppose 4*i = -12, r*i + 33 = -3*a + 135. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8109, -16341, -24571, -32799, -41025, -49249?\nAnswer: -57471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -550*b**3 + 19*b + 18. Let m(c) = 279*c**3 - 10*c - 8. What is -9*m(x) - 4*r(x)?\nAnswer: -311*x**3 + 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from {p: 4, z: 5, s: 1, j: 6}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 621. Let k(q) = q. What is x(k(w))?\nAnswer: -w + 621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150791\/4 or 37698?\nAnswer: 37698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2584 and 85.\nAnswer: 12920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let s(h) be the first derivative of -h**2\/2 + 6. Determine s(y(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4875 = 104*a + 175*a - 1527 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:14 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 13*m**2 - 6*m + 91. Let x be q(-9). Is 467 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-44)*(z**(2\/3))**(-18\/7)*((z**6\/z)\/z*z*z*z\/z**(-1\/7))\/(z**(-4)\/(z**(-3\/8)\/z)) assuming z is positive.\nAnswer: z**(165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/25 - 32\/40. Let i = -0.8 + 1. What is the smallest value in i, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41f (base 16) to base 12.\nAnswer: 73b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -33*a + 32. Let x(k) = -34*k + 31. Suppose -2*z + 0 = 3*g + 20, 0 = z - g. Let j(q) = z*m(q) + 5*x(q). Differentiate j(t) wrt t.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 376 - 25?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9009 + -9005. Sort o, 2, 329, -0.5 in ascending order.\nAnswer: -0.5, 2, o, 329","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45\/4, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -5912*i**5\/5 - 5344*i - 1297. What is the derivative of c(v) wrt v?\nAnswer: -23648*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 138*q**2 + 17*q + 17. Let a(b) = 23*b**2 + 3*b + 3. Give -34*a(u) + 6*z(u).\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.32? (a) -4 (b) 3 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and -18\/15853?\nAnswer: 158530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 1521396?\nAnswer: 16735356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 b, and 1 k when four letters picked without replacement from qbxxkbb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 27510.84ng?\nAnswer: 0.00000000002751084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/10 and 11\/31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 933 by -311.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/440 + 707\/(-140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/16)*t)**13*t**(-31)\/(t*t**(1\/7)) assuming t is positive.\nAnswer: t**(859\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uolouuuouuullluoo. What is prob of picking 4 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*a - 1092 = 98*a. Calculate the remainder when 1714 is divided by a.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 19, 12, 1, -14?\n\"Answer: -2*l**2 + 3*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l + 34*l + 5*n - 2 = 0, 5*l = 4*n + 29 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575963.1 litres to millilitres.\nAnswer: 575963100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -2*h. Suppose -3*j - 4*j = -105. Calculate the greatest common divisor of h and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24 - 2555)*-6*14\/12?\nAnswer: 7, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151 - 4*r**2 - r - 297 + 149 to w + y*r**2 + n*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970301 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 + 73*v + 13097. What is n(67)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1945 - 7673?\nAnswer: -93b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 7. Let p(h) = -8*h - 5. Let b(a) = 17*a + 11. Let j(u) = -6*b(u) - 13*p(u). Let d be j(5). What is o(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 8:43 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence did when three letters picked without replacement from {d: 3, i: 5, v: 3, c: 3, p: 4}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1343?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11670, -11675, -11684, -11697?\nAnswer: -11714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - (0 - -3)\/3. Suppose 6*t - 20 = 2*t, -16 = -4*v + 4*t. Let g = v - -18. Calculate the highest common factor of g and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -11 - 12) + (-38 - 6).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -274 (c) 1 (d) 1217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y**6*(y*y**1)**(19\/3) assuming y is positive.\nAnswer: y**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 16288 = -10896. Suppose n = 10*d - 1352. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118747, 475130, 1069109, 1900684, 2969855?\nAnswer: 4276622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4213\/6 - -11191\/16. Find the common denominator of -1\/2016 and p.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 3. Let m be k(2). Suppose -6 = 3*p - 0, 2*p - 29 = m*x. Let z = 70 - 81. Is x at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/10, 0.2, 2\/3?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.05. Let t = 0.2 - z. Let m = t - 0.14907. What is m rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-3)\/(4 + -3). What is the nearest to 2\/3 in 6, -3\/4, o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11279 * 5.94\nAnswer: 66997.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0621 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17561129 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**10\/(r\/r**(-6)*r**3))\/((r*r**(-2\/9)*r)**29\/(r**(-1))**45) assuming r is positive.\nAnswer: r**(-989\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 2361 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4421 + -4420. What is the least common multiple of a and 1085?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o - 5\/2*o**2 + 1. Let p(a) be the third derivative of -a**5\/30 - a**2 - 13. Calculate p(i(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2 - 2 + 45*l**3 + 15*l**4 + 83*l**3 + 72*l**2 + 45*l**4 = 0.\nAnswer: -1, -1\/3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/2 - 71*r**4\/6 + 224*r**3\/3 - 204*r**2 - 3*r + 1. Factor q(g).\nAnswer: 2*(g - 2)**2*(5*g - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 8 = -4*c, 6 = 3*c - 4*y - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**3\/2 - 60*l**2 + 147*l\/2 - 18 = 0. What is l?\nAnswer: 1\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 546.962 and -0.2?\nAnswer: 547.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*2\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 10. Let i = o - 9. Let z = -28 + 27. What is the closest to 0.2 in i, -2\/15, z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c - 3 + 15 + 2*c**3 - c**3 + 10*c**2. Let a(w) = 21*w**3 - 85*w**2 + 31*w - 117. Let z be a(4). What is m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*i + 3*v - 21 - 46, 4*i + 12 = v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 12*d - 11. Let k be q(13). Suppose k*i + 29 - 99 = -5*y, 0 = 2*i + y - 54. Suppose -i = -5*h - 0*h. Sort 3, 0, h.\nAnswer: 0, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40517284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.418 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 + 297. Suppose -l + 12 = -24*t. Suppose f + 4 = 49. What is the greatest common factor of f and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -33*u**4 + 37953*u**3 - 41301*u**2 - 72393*u + 6894 = 0.\nAnswer: -1, 1\/11, 2, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(((f**7\/f)\/f)\/f)*f*f**(-29)*(f**(-15)\/f)**19 assuming f is positive.\nAnswer: f**(-334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -20. Suppose s = 5*s - 20, -d = 4*s - v. Solve 2*k + 0*k - 2 = d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37440 and 1288755?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w - 54 = 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51\/2 + -149\/6. Let u = -0.05 + -0.95. Let n = -0.2 + 0.2. What is the closest to c in n, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1587540 + 67787540. What is r rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2583304 and 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.619 - -0.081. Let o = -22.1 + v. Which is the third biggest value? (a) o (b) -2\/9 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6540, -3, -4, 2, 1, 0.\nAnswer: -6540, -4, -3, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15130 is divided by 639.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-3) - 18\/27. What is the tens digit of 15 + (i - 1) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(39\/6 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - 4*c - 2*c)*(-3*c + c + 0*c) - 3*c**2 + 5*c**2 + 0*c**2 + (4 - 4 - 3)*(-24*c**2 + 3*c**2 - 7*c**2) in the form d*c + n + j*c**2 and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5844191.\nAnswer: 19, 307589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 0*y + 2*y + 0*y - 4*y + 3*y + (-y + 2*y + 0*y)*(3 + 0 - 1) + 4*y - y - y - y - 1 + 1 + (2*y + 0*y - 3*y)*(-2 - 2 - 2) + 3*y - 2*y + 0*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136228796 to the nearest integer?\nAnswer: 11672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*k - 113, k + 3*y - 37 = -y. Calculate the remainder when 195 is divided by k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*6\/408*130\/39\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14783.\nAnswer: 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 7110, 5 in increasing order.\nAnswer: -11, 5, 7110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(7) + -2 - sqrt(7)))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4 - 12, -2*j = -3*m + 13. Suppose -54 = -2*t + 6*p - m*p, 0 = 5*t - 5*p - 130. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 + 233311?\nAnswer: 300233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 6*w - 5. Let n be (1 + 2 - 2) + -6. Let z be t(n). Suppose -2*x + 6 = s, -x + 3 = 3*s - s. Is z < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*c + 21, -2*c - 5*u = -6*c + 3. Let w be (1\/6)\/(1\/c). What is the biggest value in w, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1644 - -1941. Suppose 3*s = 3*t + 618, -5*s + 2*t + 0*t + 1036 = 0. Let j = s - l. What is j rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -43882842.\nAnswer: -43882842.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (1 + -29 + 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - j = -3, -13*j + 5 = -12*j. Let l(s) = -3*s**3 + 2*s**2 + 3*s - 3. Give l(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -47162, -52 in descending order.\nAnswer: 2, -52, -47162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6\/20)\/((-33577)\/(-503655))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/600 and -47\/12000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 - -2. Which is the closest to -3\/5? (a) -1 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 10*t**2 - 19*t + 236. What is u(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(441)*-2)\/sqrt(7) - (3*(2 + sqrt(7)) - sqrt(7) - (4*sqrt(28))**2)) + -2.\nAnswer: 10*sqrt(7) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -461, -1820, -4079, -7238, -11297?\n\"Answer: -450*v**2 - 9*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**3 + 1900*s**2 + 352260*s - 712080 = 0.\nAnswer: -138, 2, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.026 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r - 129 = -647 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k - k + 13*k - k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120, -190, -270, -366, -484, -630?\n\"Answer: -v**3 + v**2 - 66*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 1473*s - 1474*s + 2*i, -6*s - 5*i = -16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 2*s**2 - s**2. Let m be (18\/(-6))\/((-3)\/4). Let b(a) = 3*a + 0*a - m*a + 0*a. Give h(b(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1931 take away -9.7?\nAnswer: -1921.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 - 5. Let b = 18 - 13. Suppose f - 5 = -2*n, -n = -3*f + 10 + b. What is q(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7951?\nAnswer: 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -135?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 + -2.756. Let k = l + -0.044. Let x = -2 - -2.1. Which is the nearest to k? (a) x (b) -0.5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 e, and 1 b when three letters picked without replacement from declbidbdbdd.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1524, 6130, 13808, 24558, 38380, 55274?\n\"Answer: 1536*d**2 - 2*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 16795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2*l + l)*(2 - 2 + 3 + (-4 + 6 - 4)*(-1 - 3 + 2)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.63g in kilograms?\nAnswer: 0.04463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.41401 + 0.06971. Let z = r + 1.330262. Let y = z + 0.0136. Round y to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14578300 and 1060240?\nAnswer: 58313200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*b - 4*v, 3*b + 0*v = 2*v - 7. Suppose a + 3*i = -0*a - 8, -4*a + 5*i = -19. Let n be 2\/(-4)*a*-2. Is n greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(50)\/(sqrt(40)\/sqrt(4))*3)**2.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 >= -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274705\/7 greater than 610673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 6)*(s - 4*s - s)*(-6*s - 24 + 24) as y + u*s + j*s**2 and give j.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 299\/28 - 66\/7. Which is the closest to o? (a) -0.3 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15234405726 + 0.1?\nAnswer: 15234405726.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411353.\nAnswer: 7, 344479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-340) + (-4264)\/3196 + 66\/44\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3026*g + 9 = 3023*g + 3*q, 3*q = -2*g - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2015)\/(-22570) - (-195)\/(-2405)?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54601797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((32\/48)\/(2\/8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 512*s + 388. Let a be h(-2). Is a greater than -636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c. Let h(n) be the first derivative of -3*n**2\/2 + 12. Give u(h(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.5, 2, 373 in descending order.\nAnswer: 373, 2, 5\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9730414.\nAnswer: 2, 4865207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/(-28) - (15\/(-6))\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*(-1 + sqrt(637) + 0 - sqrt(637)) + 3*(sqrt(637) - (-1 + sqrt(637) - sqrt(637))) + sqrt(637)*-2 + 5)*-1)**2.\nAnswer: 5040*sqrt(13) + 26532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77412, 77316, 77154, 76926, 76632, 76272?\n\"Answer: -33*r**2 + 3*r + 77442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -63*t**2\/2 - 1168. Let s(d) = -27*d**2. Give r(s(u)).\nAnswer: 1701*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3713, -2979, -1187, 2191, 7683, 15817?\nAnswer: 27121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 13*z + 22. What is j(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1097 + -932. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 16, 2*r = -h + 26 + 26. Calculate the greatest common divisor of 36 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6003 divided by 2001?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 30. Does 3 divide (y*-1)\/((-3)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 16*p + 5. Let q be r(7). Let s be (33\/q - -4)\/((-5)\/(-135)). Let f(y) = 4*y**2 - 3*y + 2. Let l be f(1). Solve l = 8*j - s*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28942 is divided by 827.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 2, m: 3, k: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + (1 - (5 - 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 119\/(-140) - 6\/(-10). Which is the nearest to 0? (a) -3\/2 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 9960363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 5*k**9\/252 + k**5\/5 + 9*k**2. Find the third derivative of q(f) wrt f.\nAnswer: 1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45753 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -13041490 to the nearest 100000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -3*p**5\/25 + 159*p**4\/5 - 11021*p**3\/5 - 34347*p**2\/5 - 5748. Factor h(w).\nAnswer: -3*w*(w - 107)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9929 divided by -1.\nAnswer: -9929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:22 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 2*a + 121 = 0, -3*a = 6. Let d be (-12)\/12 + (0 - 2 - -6). What is the second derivative of 1 - 2*v**d - 1 + y*v**3 + 41*v wrt v?\nAnswer: 222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 190*r**2 - 57*r - 12. Is o(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*y = 274*y - 1960. Put 3, 1, y in descending order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072 (base 13) in base 7?\nAnswer: -6451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -57 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155428*y - 1155669*y = -3374 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:49 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 378\/23 = -0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -216588 (b) 8 (c) 0.4 (d) -4 (e) 2\/3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -1.67?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 = 1552*t - 1528*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 11. Let l = u + -28. Does 18 divide (-998)\/l + (-3)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 8. Let x be o(-10). What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6032 by -13.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6 and 55\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6535 less than 71879\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 + 2*z**2. Suppose -2*s - 2*s + 16 = 0. Let m(a) = 0*a - 3*a + s*a. Give g(m(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17964\/(-20958))\/(270\/(-14))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 15. Let p(d) = 15*d + 31. Let c(l) be the first derivative of 13*l**2\/2 + 27*l - 27. Let v(g) = -6*c(g) + 5*p(g). Determine -2*t(u) - 5*v(u).\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-62)\/(-14))\/((-72)\/980*-7). Let g be (0 - -1) + (-4)\/(-2). Sort g, 0.3, b, 6 in ascending order.\nAnswer: 0.3, b, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 6*i**2 - 13*i + 34. Let g be c(5). List the prime factors of (9\/g - -3)*(145 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -27*f**2 - 3145*f - 1506. Let n be a(-116). Factor -30\/7*l - 2\/7*l**n + 32\/7.\nAnswer: -2*(l - 1)*(l + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 - h - 11. Let k be z(-11). Let s = 2 - 0. Suppose 0 = j - s - k. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58200 - -58199.999976323. What is y rounded to 7 decimal places?\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/15)*q**(-11)*(q*q**(-17))\/q**(-18))**(-6\/11) assuming q is positive.\nAnswer: q**(262\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3 - 3 + 4*b. Let l = -16 - -31. Let k = 12 - l. Determine s(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.350514973 rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 54. Calculate the remainder when f is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4212, -34027, -114950, -272535, -532336, -919907, -1460802?\n\"Answer: -4259*z**3 - 2*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 + 1 = 0. Suppose 0 = -g*q - q - 3*s + 794, -q + 4*s + 168 = 0. Calculate the greatest common factor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224 or -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 10*b - 3. Let k be s(10). Let t(d) = -3*d + 1. Is t(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 124*j - j**4 - j**3 - 90*j + 7 - 3 to the form k*j + w + f*j**4 + n*j**3 + q*j**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + (-11410)\/(-44). Let z = -259 + y. Let w = -79 + 80. Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 20*c + 7825. Let b = -594 - c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11685, 11687, 11689, 11691, 11693?\nAnswer: 11695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 8 = 2*m + 2*a, -3*m + 65 = 2*a. Let u = m + -18. Let l be 1\/(-5)*5\/3. What is the second biggest value in l, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50275, 101717, 153159?\n\"Answer: 51442*z - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16886*j - 523391. What is f(-31)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -4)*5\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3364*o**3\/5 - 6129672*o**2\/5 + 845424*o\/5 - 29152\/5.\nAnswer: 4*(o - 1822)*(29*o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (705\/(-26))\/(3 + -6) - -261*85\/(-2465)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.4, -672, 5, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 931188 and 4?\nAnswer: 931188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**8\/26880 - w**7\/2240 - w**6\/480 + w**5\/60 - 5*w**2. Let f(b) be the third derivative of u(b). Factor f(k).\nAnswer: -3*(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t**2 - 19*t - 17. Let d(j) = 8*j**2 + 12*j + 11. Determine 5*c(m) + 8*d(m).\nAnswer: 4*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**2 - 1541*k - 721. Give n(128).\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6355*k + 127177. Determine p(20).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 + 85. Suppose -3*z = 4*v - v - 339, -g*z = -v + 110. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47781, 193029, 435757, 775965, 1213653, 1748821, 2381469?\nAnswer: 3111597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxl when three letters picked without replacement from {j: 2, x: 1, c: 3, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + -92.332?\nAnswer: -90.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f + 24 = 2*j, -4*j + 4 = f. Let u be (-12712)\/(-728) - 12\/26. Suppose 0 = -a - 2*l - 2, -3 - u = -2*a + 4*l. Solve -2*q - j = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3315 and 9\/3830?\nAnswer: 2539290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -527 - -142. Let m = -385.27 - w. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -2\/15 (c) -6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, 5, -0.047, 3, 4.\nAnswer: -1, -0.047, 3, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-3)\/2438)*(4 + -3). Suppose 12*q - 35*q = -g. Calculate the remainder when q is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1005 and 36180.\nAnswer: 36180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 14*n**2 - 14. Calculate o(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 9*z**2 - 8*z - 12. Suppose 4*k = 62 + 10. Suppose k*x - 30 = 15*x. Is 4 a factor of y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3\/5 + 396*w**2\/5 + 17424*w\/5 + 255552\/5 = 0 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 235612*j\/5 - 6939126818\/5.\nAnswer: -2*(j + 58903)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + d - 85 = 0, 30 - 10 = 4*d. Suppose -7*t + 3*t + 5*z + 72 = 0, -3*t + 54 = z. Let m = t + -7. Calculate the remainder when o is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398234408 divided by 1144?\nAnswer: 348107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k + 126 + 224. Suppose -k*s + 84 = -13*s. Suppose -5*r + 54 + 16 = 0. Calculate the lowest common multiple of r and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*o**2 + 118 with respect to o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*p + 5*i - 0*i, -3*i = p + 5. Suppose p*t + 0 = 88. Suppose 33 = 3*y + y - 5*a, 0 = -y + 4*a + t. Solve -y*h + 5 - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2. Let t(g) = -2769*g**2. Give y(t(s)).\nAnswer: -30669444*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*z = 208, 0 = -5*h - 13*z - 5284 + 5507 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.4 + 30.3. What is the closest to 2\/7 in u, 0.2, -1\/5, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/3827 - 133939\/11481. Calculate the common denominator of d and -74\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/23)\/((-3868)\/1245496).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/5 + 2\/10. Let w = a + 7. Let z be (-14)\/(-3 - -1) - w. Solve -4*b + 7 = x, -z*b + 6 = -3*x - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305863634 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3 + 10*d**2 + 42*d + 25*d**3 - 54*d + 6. Let f(c) = 300*c**3 + 120*c**2 - 145*c + 35. Let b(s) = -3*f(s) + 35*q(s). Find g, given that b(g) = 0.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180193 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + 35. Solve -3*h = -z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7027748 - 7027748.3599981. Let v = c - -0.36. What is v rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p = 166*p + 179*p - 6360 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -26777 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**4 - 54348*s**3 - 1862389.\nAnswer: -4*s**3 - 163044*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**3 - 1811*n**2 - 22794*n wrt n.\nAnswer: 30*n - 3622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10577, 10642, 10829, 11198, 11809?\n\"Answer: 10*o**3 + o**2 - 8*o + 10574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/27 (b) 2 (c) 0.1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 79 = 7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from ngllqlqnlll?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/5008 and -89\/626.\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 5335.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3124 - 3128. What is the fifth biggest value in -1\/2, -0.2, 86, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274334, -274333, -274332, -274331, -274330?\nAnswer: -274329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 12*g + 154. Calculate b(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/(-87))\/(1\/(-1))*-9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 18*p + 30311 = 0. Suppose 2*v = 0, 1706 = 3*g + 3*v - p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -605141 + 1288228. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(6 - 5). Which is the smallest value? (a) 155 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-4)\/160*-332.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*q. Solve -3*l = 0, -3*u + q*l = -2*l + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 890, 1420, 1988, 2600?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2891336?\nAnswer: 2, 7, 51631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnqnnnqnnnqnnnnnq. Give prob of picking 4 n.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38731 is divided by 18226.\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.68 - 634\nAnswer: -636.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29084278 is divided by 2152?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1513439 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15364*h = -15354*h - 20. Factor 15*m - 51\/2*m**h + 0 + 12*m**3 - 3\/2*m**4.\nAnswer: -3*m*(m - 5)*(m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -10 (b) -6 (c) 6627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 40 + (-2 - (3 + -7 + 8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1256*h + 459426 - 459426 to the form z*h + v and give z.\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8537 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 6. Give f(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 3. Let q(m) = -3*m - 7. What is 6*q(g) + 14*r(g)?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50102.17 millilitres to litres.\nAnswer: 50.10217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.29909 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44987277 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/48 - 12\/18. Suppose 4*c = -t - 8, 9 = -5*t - 3*c + 3. Let n be 3\/(t + 3)*2. Sort n, 3, a in decreasing order.\nAnswer: 3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459625356 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 13. Let d(v) = -9240228*v**2. What is q(d(k))?\nAnswer: -18480456*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 + 424 = 10*n. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.3, -280?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 86, 1, -3, -2 in ascending order.\nAnswer: -3, -2, 1, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, l: 2}. What is prob of picking 1 l and 2 d?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(0 - 3) + 69. Suppose 78 = -k + u, -k + 0*u - u - b = 0. Let h = k - -107. Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1 - 1)*1. Suppose g = 5*l + 24, 17 = 5*g + l + 1. Let n be p\/g*(-4 + 0). Solve -n*z = 12, -3*s = -s - 4*z - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116742 by 6.\nAnswer: 19457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 13*b**2 + 5*b - 10. Let y(d) = -d**3 + 14*d**2 - 4*d + 10. Let o(m) = 4*g(m) + 5*y(m). Let u = 27 + -10. Is o(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 12*j**2 + 15*j + 1. Determine i(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -207.12 + 207.42. What is the third biggest value in w, -0.2, 1.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10 = -d, 7 + 1 = -4*d. Let l be 66000001\/5 - n\/(-15). Round l to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011506604.\nAnswer: 2, 3, 23, 3664879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 104, 231, 374, 539, 732, 959?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a factor of 24691564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 100. What is the greatest common divisor of 10 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 4*a**3 + 2*a**3)*(-1 - 3 + 3)*(4083*a**2 - 4082*a**2 + 25 - 80 - 25*a).\nAnswer: -a**5 + 25*a**4 + 55*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-84)*(-1)\/(-28)*(-21)\/6.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l**2*t**3*v + l**2*t*v**2 - 145*l*t**3*v**2 + l*t**2*v + l*t + 2*t**3*v**2 - t**3*v wrt v?\nAnswer: 2*l**2*t - 290*l*t**3 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -542, -1585, -3320, -5747, -8866, -12677, -17180?\n\"Answer: -346*h**2 - 5*h - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2061360 and -25\/36.\nAnswer: 2061360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356531.\nAnswer: 3, 11, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.13153 rounded to one dp?\nAnswer: -278.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + r - 10 + (-1 + 1 - 6)*(2*r - 5 + 5))*(-2 - 2 + 2)*(-4 + 0 + 1).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 37535.97 nanograms?\nAnswer: 0.00000000003753597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1233, -1231, -1229, -1227?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16792 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 3*f**2 + 3*f + 1. Let z be d(-2). Let n(k) = k**2 - 2*k. Let q be n(z). Suppose -5*x - q + 514 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -3*o + 4*v, -18*o = -14*o - 4*v + 164. Suppose 4*d - 3*s + 6*s = 133, -5*s - 62 = -d. Let b = d + o. Solve -b = 2*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 259*f - 3863. Give s(23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69023.32us?\nAnswer: 69023320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u. Let n(f) = 77*f - 13607. What is s(n(g))?\nAnswer: 385*g - 68035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835 + 775 = -h. Calculate the greatest common divisor of 1140 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 0.22. Let o be (105\/(-27))\/5 - -1. Which is the nearest to 1? (a) m (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.466 (b) -1 (c) 11 (d) -3 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47980477 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 9:21 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 4)*(0*p - 4*p + 5*p) - 9 - 8*p + 9)*(-48 + 9 + 12)*(p**2 + 3 - 3 + (3 - 3 - p**2)*(-3 - 2 + 2) + 2*p**2 + 0*p + 0*p).\nAnswer: 972*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, 1209, 1219, 1231, 1245, 1261, 1279?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -3391*r**8\/336 + 1805*r**4\/24 + 19*r**2 - 48*r. What is the second derivative of s(x) wrt x?\nAnswer: -67820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 7*j = 3*j - 2, -2*g = -3*g + j - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:52 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 115, -1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1, -2\/11, -3\/10 in decreasing order.\nAnswer: 1, 2\/11, -2\/11, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.032?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23457481.\nAnswer: 23457481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -5. Let y be (1200\/a)\/((-3)\/810). What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3819617 = 3*i + 216617. What is i rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-105) - 6\/10. Let h be (-4)\/(-10) + 17\/(-55). Let r = -1915\/8 - -239. Sort w, r, h in ascending order.\nAnswer: w, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.1. Let m = -2 + 3. Which is the nearest to n? (a) m (b) -2 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, y: 9}. What is prob of picking 2 n and 2 y?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1694209, -5, -4 in ascending order.\nAnswer: -5, -4, 1694209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -2) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(2 - 65\/34). Let d be (-3)\/6*m - -3. Solve 3*a - d = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 3102?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210) + 1*sqrt(1210))*5*4)\/(sqrt(50)\/sqrt(250) - sqrt(5) - sqrt(5)*-3*3).\nAnswer: 2200*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 21*v - 18. Suppose -5*s - 49 = -4*j, 2*j + 4*s = s - 3. Let f be j - -18 - (-1 + 1). What is the highest common divisor of f and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 18. Let m be z(-8). Let c = m - 4. Suppose -c*p = -18*p + 40. Let f(b) = b**2 - 5*b + 3. Give f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + -2)*2\/7. Find the third derivative of 2*l**2 - h*l**2 - 2*l**6 + 3*l**2 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Let a(o) = o**3 - 4*o**2 - 7*o + 11. Let f be a(5). Let h(d) = d**2 - d - 1. Give f*h(q) + 3*r(q).\nAnswer: q**2 - q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 5*c - 4*c**2 + 6*c.\nAnswer: -c**2 + 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3621, -2156, -691, 774, 2239?\n\"Answer: 1465*d - 5086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168230*s**2 + 79272*s?\nAnswer: -336460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2272*c + 1552. Determine h(1).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 8. Let n(r) = 1. Let j(d) = 8*n(d) + z(d). Let s be 12\/5 - (-6)\/(-15). Let v(a) = -2*a**s + 4*a**2 - a**2. What is v(j(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2 (b) -130908 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioio when four letters picked without replacement from oioioooiooiiooii?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.8 - 31. Let p = 23.5 - i. Round p to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -168.3. Which is the nearest to m? (a) 2\/3 (b) 35 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 + 5)*(4 - 4 - 2)*(j**2 - j**2 + 4*j**2) in the form u*j**2 + v + y*j and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125)*-1)) + 4 + (4 + -2*sqrt(125))**2 + 2*sqrt(125) + sqrt(125) + 3)*2.\nAnswer: -130*sqrt(5) + 1042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 402, 803, 1204, 1605?\n\"Answer: 401*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.674 + 0.5.\nAnswer: 12.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - 22821?\nAnswer: -22879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18183 + 18200. Solve -3*w + c = -5*q, -2*w = -15 + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y - 20. Let x(v) be the first derivative of 1\/4*v**4 + 5\/3*v**3 + 5\/2*v**2 + 3 - v. Calculate x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.0092?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3\/(-18*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 5*j**3 + 0*j**3 + (17 - 3 - 3)*(4*j - 3*j + 0*j)*(-j**2 - 2*j**2 + 2*j**2).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:40 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*b**(-1\/10))\/(b*b**(-5)*b*b*b**(-3)) assuming b is positive.\nAnswer: b**(363\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 2416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6765.45 + 0.06?\nAnswer: -6765.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (2\/(-3) - 120\/(-18)). Suppose -41*d - 70 = -34*d. Put d, v, 4 in increasing order.\nAnswer: d, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + 0. Let v = 131.91978 - 131.8. Let r = v - q. What is r rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 2*n**2 - n**2 - n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358171\/18 + 39799\/2. Solve o*t**2 - 16\/9*t - 2\/9*t**3 + 8\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 37*i - 30 = 0. Let t be (-5 - -7 - i)*(-3)\/(-4). Solve -8*k = -6*k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from zezt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -303*-20*(-7)\/(-420)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 9*g**2 + 8*g. Let k be u(8). Suppose -6*b + 36 - 6 = k. Solve b*x + 5*w = 2*x + 15, -3*x = 3*w - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpq. What is prob of sequence qh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -235. Suppose -r + 5*r = b + 158, -3*r + f = b. Let i(m) = 10*m**2. What is the remainder when r is divided by i(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 + 8*d**2 - 23*d - 8. Let b(j) = 4*j**3 + 6*j**2 - 22*j - 6. What is -4*b(r) + 3*o(r)?\nAnswer: -r**3 + 19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-14) - 12\/(-42). Calculate the greatest common factor of u and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 30*d = 297. Suppose 3*a - 10 = -c, 3*c = 2*a - d + 74. Solve 0 = 2*f + 5*s - c, -3*s + 9 + 2 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 257476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y**3 - y**2 + y. Let a be n(1). Suppose 3*w = a - 4. Suppose -26 = -2*c - 6*v + 2*v, w*c - 52 = 3*v. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 13446 = 3*l, 5*l - 523 - 21909 = -2*v. Calculate the highest common divisor of l and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxj when three letters picked without replacement from {x: 10, p: 2, j: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4750574 divided by -2?\nAnswer: -2375287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -9) + (-713)\/93. Sort h, -1885, 2 in ascending order.\nAnswer: -1885, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -6 (b) 4 (c) 7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/5 - 102*v\/5 = 0.\nAnswer: -102, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3501341, 3501358, 3501375, 3501392, 3501409, 3501426?\n\"Answer: 17*i + 3501324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*x + 805*x**3 - 157*x + 468*x - 156*x.\nAnswer: 805*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -19, -131, -367, -769, -1379?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 141549 = 5*u - 160676, u + 302195 = -q. What is q rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -347 - -5557\/16. Calculate the common denominator of g and 1\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 + -0.32. Let r = c + -3.84. What is the third biggest value in -0.5, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8350*p + 50099. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10))**(4\/9)\/(t*t\/(t*t**(-2\/11))*t)**(-8) assuming t is positive.\nAnswer: t**(1288\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 33.3. Suppose 3*r + 0*o = 3*o + 18, o + 5 = 0. Let g be (6 - 8)*r\/(-7). Sort c, g, -0.1 in increasing order.\nAnswer: -0.1, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 2*z. Suppose 2*a + 3*a - z = 0. Factor 0*l**a + 0*l + 7*l**3 - 3*l - 2*l**2 + 2*l - 4*l**4.\nAnswer: -l*(l - 1)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*i, i = 5*o - 4 - 15. Let k = 2 - i. Does 20 divide k\/4*(-2196)\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-63 - -18) - -36.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 86. Suppose -5*g = 2*u + 15, 4*u + g = a*u + 5. Calculate the highest common factor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -311?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from {e: 1, l: 1, q: 1, w: 1, s: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3065790 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168801333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 9*l - 227 = 0. Suppose i + l = 2*z + 88, -4*z + 5*i = -263. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4 + 1. Suppose -2*u = -3*f + 22 - r, 5*u + 40 = 5*f. Solve 10 = -f*k - q - 10, -4*k - 15 = q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 11*y**2 + 24*y - 5. Let s be f(3). What is the closest to -2\/9 in s, -2, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from aahhhhha.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 4*l - 4. Let t be v(-4). Let f = -16 + t. Suppose f*c - 84 = 5*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -56\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13157 - -11211?\nAnswer: -1846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -147. Suppose -3*g = 0, -2*f + 0*g = -3*g - w. Calculate the remainder when f is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*m - 59*m + 39*m.\nAnswer: -91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -19, 523, 4, 1\/3?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291856 (base 10) in base 7?\nAnswer: 2323615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -64, 1, 1084 in increasing order.\nAnswer: -64, -4, 1, 1084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 - 7*q**4 - 2*q**2 + 2*q**4 + 8*q**3 + 7*q**4 as c*q**2 + u + h*q**3 + n*q**4 + f*q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15 + (-23)\/((-1150)\/770). Which is the second biggest value? (a) j (b) -13 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (1 + (sqrt(12) + sqrt(3))*6 - (sqrt(3) - (sqrt(432) + sqrt(27))\/sqrt(9))*5)**2.\nAnswer: 76*sqrt(3) + 4329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28835 = 8*f + 9259. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -29*n**6\/40 - 17*n**4\/8 + n**3\/3 + 65*n**2. What is the second derivative of x(c) wrt c?\nAnswer: -522*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 7 - 33. Let h(r) = r + 4. Let k(j) = j + 4. Let m(l) = -6*h(l) + 7*k(l). Let n be m(-4). Solve 2*i = u - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3003 + 3089. What is the closest to -1\/2 in -0.6, 2, t, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 149554489177177?\nAnswer: 149554489177176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 - 46*b**3\/3 - 3*b**2 + b - 10. Let j(p) = p - 1. Let r(k) = -j(k) + l(k). Find the first derivative of r(s) wrt s.\nAnswer: 2*s - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**5\/20 - 7*c**4\/12 + 3*c**3\/2 + 2*c**2 + 34*c - 67. Let d(a) be the first derivative of r(a). Give d(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -7*i + 7. Let x(a) = -824*a - i + 826*a + 1. Let b(d) = 10*d - 159 + 159. Give x(b(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/307 + -648\/5219. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 + 956*p**2 + 409*p + 136. Calculate h(137).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 30. Suppose 0 = a*b - 5*b - 34. What is the remainder when b is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5)*-2)\/((-558)\/3255)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.1, -4, 0.04, -3, 1, -2\/143585?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v = 57 + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4729, -9459, -14189?\nAnswer: -18919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/(2\/(-5)). Suppose -5*a + 0*a = -85. Suppose 0*k - k + 5*p - a = 0, n*k + p - 10 = 0. Solve 5*c + 18 = -j, -5*c + k*j = 5*j + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 + 3*g**2)*(0 - 3 + 4) - 4 - 2*g - 69*g**2 - 61*g**2 + 112*g**2.\nAnswer: -16*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -14 - 6. Suppose k = -5*u - 4, -u + m*u + k + 2 = 0. Let p(x) = -x**3 - 32*x**2 - 33*x - 62. Let l be p(-31). Put 2, u, l in increasing order.\nAnswer: u, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 10*x + 13. Let t = 9 + -4. Calculate the remainder when w(-10) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -14*s - 8. Let o(d) = d - 1. Let k(b) = 3*b - 15. Let p(z) = s*o(z) - k(z). Let r be p(-5). Solve -1 = -5*v - r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r. Let t(f) = -9524*f**2. What is h(t(c))?\nAnswer: -152384*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14948*h - 14944*h = 129*p - 137*p + 8, -5*p - 3*h = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 5*f**3\/3 - 21085*f**2 + 88915445*f + 1095. Let x(i) = 0. Calculate i.\nAnswer: 4217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1343 - 1432?\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.09 (b) -15 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -a - 4, 3*a + 10 = 3*g + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13667, -27332, -40997, -54662, -68327, -81992?\nAnswer: -95657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -54, -110, -188, -288, -410, -554?\n\"Answer: -11*w**2 - w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2644027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -75. Suppose 5*w + 13 = -2*j, -4*j - j - 4*w + q = 0. What is the remainder when j is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 1, -105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26463863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 2\/651, 1\/6, -41, -0.01, -3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.31 + -8.31. What is the third smallest value in z, -3, -197?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29976534?\nAnswer: 2, 3, 7, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*p - 3 = 61, p = -o + 12. Suppose 4*l - 20 = -j, -2*l - 5*j = -3*l - o. Solve 9 - 1 = -l*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5253, 10361, 15469, 20577, 25685, 30793?\nAnswer: 35901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*i**3\/4 + 15*i**2 - 9*i.\nAnswer: -i*(5*i - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1111111010001110010111 (base 2) to base 6\nAnswer: 225220315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 5*g + 3*g)*(-3 - 4 - 1)*(-12*g**3 + 7*g**3 - 10*g**3).\nAnswer: -240*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 551336 (base 8) in base 16?\nAnswer: 2d2de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 14*m + 5 - 3. Let c be r(2). Does 5 divide (-87)\/(-12)*c\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3196b7 (base 13) to base 7.\nAnswer: -12613525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -104.545330607417?\nAnswer: 104.245330607417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/72 + (-7)\/(252\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 3*m**8\/28 - 181*m**6\/15 + 730*m**4\/3 + m - 288. Find the third derivative of v(o) wrt o.\nAnswer: 720*o**3 - 8688*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 - 210*g**2 - 426*g - 214 = 0.\nAnswer: -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 14*d + 12 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/(5 - (-138)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15379, -15389, -15405, -15427, -15455, -15489?\n\"Answer: -3*x**2 - x - 15375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-129)\/(-86) + (-7)\/4). Solve 0 = q - 3, -21 = 3*f - q - l*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = -5*w + 1409, -5*v = -3*w + 851. What is the tens digit of 1 + w\/3 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40123405253 - -40123406245.03030985. Let l = -1018.03031 + r. Let x = -26 - l. Round x to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let k(t) be the second derivative of -1\/2*t**3 + 0 - 13*t + 0*t**2. What is k(n(w))?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o - 4 = 0. Let r = 8.1135 + -0.1135. Which is the closest to -2\/9? (a) r (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 569 = -2*l + 586, 3*q - 11 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -838 = -2*c - 4*z, -5*c - 26*z = -21*z - 2080. Calculate the highest common factor of 59 and c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + -2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + f - 8 + 1, -5*f - 28 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 4217?\nAnswer: -4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 88 = -108, 0 = 4*g + l - 1152. Suppose 169 = -10*b + g. What is the greatest common factor of 52 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 8*z - 7. Let i be k(5). Let b(f) = 7*f - 4. Is b(i) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l - 216 = -4*s - 33*l, 3*s - 4*l - 172 = 0. Solve -s*v = -13*v - 195 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1110499*i**2 - 43*i - 44. Let y be m(-1). What is y rounded to the nearest ten thousand?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211190000 rounded to the nearest 1000000?\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 32*q. Let n(x) = -7*x - 5. Let j(h) = 10*h + 7. Let a(k) = 5*j(k) + 7*n(k). Calculate a(b(y)).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66305771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9 and -99\/2554?\nAnswer: 22986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 169208168\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 8, -4 in decreasing order.\nAnswer: 8, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.434 - -1.74. What is t rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 * -1.2\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 3*z + 6. Suppose -2*b - 24 = 2*b. Let n be f(b). Let q = n + -17. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d. Let c(t) = 4*t**2 + 2*t - 3. Let i(h) = -c(h) + 3*y(h). Let x be (-5)\/5 + 6\/3. Suppose -x = 2*p - 2*w - 5, -5*p = -3*w - 6. What is i(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 572 in -2\/23, -113, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 3*c = 9472. Is c a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 236700 - 394810. Let i = p - -158013.093. Let s = i - -97. What is s rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/57 + -3\/19. Let i = -0.1 + 2.1. Let k = -2.1 - -0.1. Which is the nearest to d? (a) k (b) 3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 18 = -8. Sort -1\/2, 5, w in descending order.\nAnswer: 5, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -40. Suppose -3*j - j = -c. Put j, 4, -5 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14408710 and 218?\nAnswer: 14408710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (34 - 35) - -12\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.16767cm in meters?\nAnswer: 0.0916767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (2 - 3)*(-90 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {d: 2, z: 2, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51011.\nAnswer: 29, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138760, -277446, -416132, -554818?\nAnswer: -693504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225782 = -132*d + 231334. List the prime factors of d.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-616)*-14*-1*80\/(-44).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 4460*h - 321135 = 0 for h.\nAnswer: 79, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 5, q: 3, t: 1, j: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 1 = 5*c, -5*c - 251*v - 35 = -256*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 141?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5441?\nAnswer: 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t + t. Suppose -t*u = 64 - 4. Let v be (-1)\/4 - 63\/u. What is the greatest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023962724 rounded to six dps?\nAnswer: 0.023963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r**3 + 22*r**2 - 13*r - 7. Let m(o) = -8*o**3 + 11*o**2 - 6*o - 3. What is -4*j(t) + 9*m(t)?\nAnswer: -4*t**3 + 11*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*b - 146 = 0, -3*f - b + 100 = -0*f. Let w = -32 + f. Suppose -2*r - w*l = -4*l - 44, 2 = -l. Calculate the smallest common multiple of 10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*y - 29 = -5*y, 17 = b + 3*y. Factor -1\/6*w**b + 2\/3*w - 2\/3.\nAnswer: -(w - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 13*x + 95. Calculate p(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {j: 1, v: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158165, 316358, 474551?\nAnswer: 632744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 28925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 49*h**2 - 106*h - 186. Does 31 divide b(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and -0.5062077752.\nAnswer: -0.4662077752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 14*i - 22. Let x be r(16). Let z = -7 + x. Solve -m = z*t - 0 + 12, 2*m + 2*t + 8 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9153862?\nAnswer: 2, 23, 198997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - h + 2. Let d be i(5). Suppose -2*a - 10 = -2*b, 5*b + 5*a - d = b. What is the highest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 31, 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 56*o = -124950. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 7 + 8, 3*x = 2*y - 25. Suppose 248 = -y*r + 258. Solve -1 = f, r*p - 6*p = -5*f - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 3}. Give prob of picking 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = u + 14, 8*u = 2*x + 6*u - 8. Suppose -l = -5*p - x*l + 867, 2*l + 507 = 3*p. Is p a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 54, 83, 112, 141, 170?\n\"Answer: 29*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -272, -1095, -2466, -4385, -6852, -9867?\n\"Answer: -274*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10030232 (base 4) to base 9.\nAnswer: 25528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (256\/144)\/((-7)\/(-63)). Solve 5*j + b = -2*l + 26, -2*j = 3*l + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 35*f**2 - 68*f + 64. What is x(33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5, 0*l + 39 = 4*j - 5*l. What is the lowest common multiple of 1254 and j?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.5 (b) -0.06 (c) -3962\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 1 - 15. Let c = 7 - n. Let g = 8 - 6. Solve 4*m + g = -h - 4, c*m + 7 = -2*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, 218, -2\/9, -2.81, -14 in descending order.\nAnswer: 218, 3, -0.1, -2\/9, -2.81, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - -8. Suppose 4*w + 4*z = 100, 3*w - 2*z - 57 - s = 0. Let c be w\/4*(-8)\/(-12). Solve -h = -2*h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -145. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 3, 5 in increasing order.\nAnswer: 3, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**4 - 17884*w**3 - 154578*w**2 + 64692*w = 0. Calculate w.\nAnswer: -9, 0, 2\/5, 1797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 209*r**3 - 385 wrt r?\nAnswer: 627*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + (-8)\/6. Let i = -209.749 + -0.251. Let p = 209 + i. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1)*1*(-21)\/(840\/80)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256 - -612. What is z rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8337602*h**4*t - 3*h**2*t - 192223*h**2 - 2*h*t wrt h?\nAnswer: 200102448*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15cbc6 - b5?\nAnswer: -15ccab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.598 and -0.855.\nAnswer: -0.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7793276?\nAnswer: 2, 17, 31, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003245763839 rounded to 7 dps?\nAnswer: 0.0000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/2, -28, 45, 2 in increasing order.\nAnswer: -28, -0.2, 1\/2, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from tgvvvgvnuvvggguvv.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/31912 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -469*v - 38. Let h be f(-12). Suppose -g - 3370 = -4*g - 5*x, -3*x = 5*g - h. Does 51 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -11. Let z = -3 + 7. Suppose -k + 14 = 2*w, 0*w + 36 = z*k + 4*w. Solve -k + b = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gne when three letters picked without replacement from {f: 3, g: 1, e: 7, w: 3, i: 2, n: 2}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -i - 198, 3*i + 4*o + 792 = -i. Calculate the remainder when 525 is divided by ((-5)\/(15\/i))\/(9\/12).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -672 - -679. Let i(a) = 8*a - 55. Give i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21422627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260 - 258. Suppose -i = -4*w + 6, 0 = -r*i - w - 3*w. Let c(n) = 8*n**2 - n - 1. Calculate c(i).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b - 69. Let n be m(8). Suppose -5*k - 12*q = -n*q - 8, -5*k + q = -2. Is k less than or equal to 1\/433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - i**3 - 2*i**4 - 7 - 9 to the form o*i**3 + r*i**2 + n*i + b*i**4 + j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p + 1624. Let d be u(81). Solve -6*r = -5*r - v - 4, -16 = -d*r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/3*((-20)\/(-8) + -1). Suppose -2*o + v + 13 = 0. What is the hundreds digit of (-8)\/o - 802\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10022021020 (base 3) to base 2.\nAnswer: 1111111000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most as big as 1.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 13651\nAnswer: -5460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 3*w - 2. Let n be z(-2). Let s = -15537 + 15539. Determine k, given that n + 0*k**3 + k**s - k**4 + 1\/2*k**5 - 1\/2*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(171))**2)*-2*6 + 4*sqrt(1539)*-1.\nAnswer: -48*sqrt(19) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d + 14. Let n(s) = 2*s**2 + 5*s + 27. Suppose q - 5*r = 18, -q = q + 4*r + 6. Let g(a) = q*n(a) - 5*x(a). Differentiate g(o) wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1972684 by -986342.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*1 - 564\/(-36) and 59\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*y = 215*y + 3817 - 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-1)\/(-6)). Let k be g\/9 + (-256)\/(-18). What is the remainder when 69 is divided by 259\/k + 2\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 28*c - 30*c. Suppose -30*n - 90 = -c*n. Suppose -6*b + n = -0*b. What is the remainder when 12 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -150*a - 176. What are the prime factors of w(-39)?\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1730621, 3461249, 5191877?\nAnswer: 6922505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 76*n + 655. Calculate m(-66).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 2*g. Let t(j) = -j**3 - 1. Let f(w) = -k(w) + t(w). Let m be f(2). Solve u = 2*u + 4*s + 19, s + m = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + ((sqrt(120)\/sqrt(4))\/sqrt(10))**2 + -5)*2 + -1).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 110. Let y be 2\/(-6) + 32\/6. Which is the closest to 2? (a) j (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v - 4. Let f(o) = -17*o - 11. Let y(m) = 4*f(m) - 11*g(m). Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -16. Let z(c) = 3*c**2 + 0*c**2 + c**2 - 2*c**l. Let w(t) = -4*t. Calculate z(w(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 + 15*n**2 + 54*n + 54. Let g(a) = 56*a**3 + 164*a**2 + 594*a + 594. Let z(u) = 68*b(u) - 6*g(u). Factor z(t).\nAnswer: 4*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 8\/3. Let n be -1*(0 - 0) - (-8)\/(-32). Which is the biggest value? (a) 0.5 (b) -1.4 (c) x (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + -3 + sqrt(63)))**2*-3.\nAnswer: -4224 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13305 + 3?\nAnswer: -13302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((118728\/(-485))\/(-204))\/((-2)\/(-50)*-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 126 = 5*d, -m = -6*m + 2*d + 607. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -1)\/(0 + 1). Let p be 0\/(b\/(-8)*2). Let g be 3\/36 + (-2)\/6. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2243*a + 2245*a + 2254*a - 102896*a**2 - 6742*a)*(3*a - 2*a - 2*a)*(-2*a + a - a) as r*a**4 + d + p*a**2 + f*a + b*a**3 and give r.\nAnswer: -205792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 7, k: 3, v: 3, b: 3, j: 1}. What is prob of sequence jy?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10216807963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 8. Let y be t(6). Suppose -y*m - 8 = -6*m. Does 2 divide 3*((1 - 2) + m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680 a factor of 1661439200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -497 (d) 0.326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a + 5*a**5 + 7*a**5 - 7 + 28 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/36 and -133\/146970.\nAnswer: 293940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + 1 - 2*j)*(-2 - 2 + 5).\nAnswer: -5*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbn when three letters picked without replacement from bhubncfnbuccbun?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 16, 38*t - 40*t + 5*a = -3014. Calculate the highest common factor of t and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*i - 1 + 110*i + 5 - 5 + 1.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 5, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 1255471.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 59000379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (16 + -17 + 27).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 10206.74.\nAnswer: -3062.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q**2 + 216*q + 107. Let z be x(22). Let d(w) = w - 32. Give d(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 44*q - 527. What is v(15)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 13*k**2 - 39*k - 45. Give i(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-16)*h)\/((h\/(h\/h**(-8)))\/h*h*h) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26, -61, -160, -359, -694, -1201, -1916, -2875?\n\"Answer: -6*i**3 + 4*i**2 - 5*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(1\/22*36\/(-36))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380.6 - -381. Put -3\/25, d, -47 in ascending order.\nAnswer: -47, -3\/25, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -982*o**3 + o**2 + 986*o**3 - 3*o + 5*o - 9*o**4 as v*o**2 + t + u*o**3 + z*o**4 + s*o and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-32)*48\/9 + 6\/2. Solve -16 = -9*o + v*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 255.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 2*t - 6. Let s be f(-4). Let c = 36 - s. Find i, given that 10 + 2*i**c - 7 + 6*i + 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-40)\/12 - 371\/159.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -18*h - 47. Let d = -78 - -75. Let k be j(d). Let n(b) = 2*b + 4. Let t(o) = 2*o + 4. Let u(a) = -5*n(a) + 4*t(a). Give u(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnh when three letters picked without replacement from {h: 1, y: 5, f: 1, n: 3, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*y + 2*j - 3*j, 3*j = 6. What is the greatest common factor of y and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 302946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 2 = -p - j, j = -3*p + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let i(x) be the second derivative of 7*x**4\/3 + 2*x - 167. Give i(s(f)).\nAnswer: 112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4467 and 3.\nAnswer: 4467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -708779, -1417558, -2126337, -2835116, -3543895, -4252674?\nAnswer: -4961453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 14*t - 25*t + 12 - 16. Give i(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1434*o + 164. What is the hundreds digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/15 and 13\/11739005?\nAnswer: 35217015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.1. Let j = -0.4 - x. What is the biggest value in -1\/8, j, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/9 - 4370768*y**3\/3 - 4775898856686*y**2 + 28655432477040*y - 42983168384025 = 0. Calculate y.\nAnswer: -6556155, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22695 is divided by 600?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 44724?\nAnswer: 313068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j**2 + 2*j**2 + 0*j**2. Let y(w) = 125*w**2 + 7*w. Let n(q) = 258*q**2 + 15*q. Let v(i) = 7*n(i) - 15*y(i). Calculate v(o(h)).\nAnswer: -276*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.482405 weeks in milliseconds?\nAnswer: 5130158544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + (-14)\/(-4))*122*1415\/(-5) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72375.86 to the nearest one hundred.\nAnswer: 72400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 60 = 8. What are the prime factors of 1038*6\/p*12\/36?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/7 of a week?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 4, d: 2, t: 3, q: 2, e: 1}. What is prob of picking 1 d and 1 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = 3*v + 2*w, -3*v - 22 = 5*w. Sort -23, -4, v in ascending order.\nAnswer: -23, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 22 = 4*c - 18, 7*x + 30 = c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 6 - 1) + 3. Let f = 5 + -10. Let w = f + 3. Is m smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/(-25) - 4)*-5. Let b = 4 - 8. What is the closest to c in 0.1, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 11:10 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 35049488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 68\/3. Let q = -11.1 + 1.1. Let u = -7 - q. Which is the closest to p? (a) 1 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(3 + -5)*0. Find a, given that 4*a**2 - 2*a**5 - 2 - 2*a**3 + 0*a - 2*a**4 + 6*a**3 - 2*a + b*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -6.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1582*p + 1582*p - 194*p**3 + 197*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7665.0625 rounded to the nearest one hundred?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, 32, 198, 524, 1064, 1872, 3002?\n\"Answer: 9*i**3 - i**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -137696 - -1545.4?\nAnswer: -136150.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 + t**2 - 17*t - 2. Calculate the least common multiple of g(-3) and 77.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by 62\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 28 - 53 = -21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-33 - (31 - 42))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 6. Let t be a(7). Let g = 6 - t. Calculate the common denominator of 18\/5 and (-235)\/g*(-3)\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-20) + -3 - 23\/35\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**1*v*v*v)**(11\/4))**(6\/23) assuming v is positive.\nAnswer: v**(99\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/390*(-10)\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 67*r**2 - 100*r + 34. List the prime factors of o(10).\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/20*(-270)\/(-810)*6\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)\/(a\/(a*a**(-2)\/a*a)) assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -75 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v**3 + 2*v**3 + (-v**3 + 0*v + 0*v)*(1 + 0 - 2) + 4*v**3 + v**3 - 3*v**3 + 3*v - 3*v - v**3 + (1 - 1 - 11*v)*(-v**2 + v**2 - v**2).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhi when three letters picked without replacement from {y: 1, i: 4, h: 9, z: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.667 - 125.433. Let w = h + 121. Let n = -9.1 - w. Which is the smallest value? (a) 0 (b) n (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 37 = -4*k - 41, -2*j = -42*k - 176 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Put 3, 223, -3 in decreasing order.\nAnswer: 223, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/15*(-18)\/(-8). Suppose 0 = -4*x - 5*m - 3, 12*m - 27 = -4*x + 17*m. Suppose 0*f - 3*n - x = f, 2*n + v = f. Solve 1 = 5*u + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 7*s**2 + 13. List the prime factors of i(-7).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 30*u - 105. Calculate p(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 - 6*x + 7. Give o(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 18. Let y be g(-8). Calculate the remainder when (-61 - 1)\/(y\/5) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 37503, 3, 0, -1.\nAnswer: -5, -1, 0, 3, 14, 37503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*b**2 - 53*b**2 + 19*b**2 + (-3*b + 5*b - b)*(-2*b + 3*b + 0*b) as f*b**2 + s*b + j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-306)\/(-119) - (-6)\/14. Let k be -7 + (-3 - -7) - -5. Is k >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, -1, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j - 1. Let a(p) = -9*p**2 + 7*p + 3. Determine a(q) + 6*l(q).\nAnswer: -3*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - 7*s - 7. Suppose -2*l - 1 = -13. Let b be l\/(-36) - 1\/(6\/41). Give j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {w: 3, f: 2, g: 2, y: 4, h: 1, j: 8}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/((a**(-1\/6)*a*a)\/a*a)*(a*a*a**(-3)\/a*a)\/(a*a**(-2)))\/(a**(-5\/3)*a\/(a*a**10))**(-47) assuming a is positive.\nAnswer: a**(-3283\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -2*b + 641 - 497 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:14 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 809112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-28)\/112)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -6. Suppose -5*y + 5*g - p = 0, -5*y - 5*g - 2 = -22. Let d(z) = z**3 - 3*z**2 - z - 3. What is the smallest common multiple of d(4) and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 226.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1756, -15, 2, 0, -4, -5, 7.\nAnswer: -15, -5, -4, 0, 2, 7, 1756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2\/13))\/q)**21)**(-45) assuming q is positive.\nAnswer: q**(-1890\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1866 + -1062. Suppose j = 5*k + 3*t, 5*k + 4*t - 95 = 712. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = 26*p + 68. Let u be 144\/p - (2 + 4 - 1). What is the closest to u in 11, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116503.9 - 70.\nAnswer: -116573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from xxxxssxxsxsxxx.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.7011 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.5513 (b) 2\/19 (c) 5 (d) -1.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/((y*y**(-2)*y)\/y)*y*y\/(y\/(((y**0*y)\/y)\/y)*y)*y**7)**(-7) assuming y is positive.\nAnswer: y**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*l = 23, -3*g + 13*l = 11*l + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 2*o - 1. Give j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*u = 3*u - 12, -4*z + 5*u = -0*z - 32 - 49 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4200, -4037, -3814, -3501, -3068?\n\"Answer: 5*m**3 + 128*m - 4333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7542 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169658025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(1\/4))\/o)\/o**(-6))\/((o**5*o*o)\/(o*o\/(o\/(o\/(o\/(o*o**(-4)))))*o)) assuming o is positive.\nAnswer: o**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 8*i + 5. Suppose -63 = 4*s - 43. Is l(s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1036, 2001, 2966?\n\"Answer: 965*c + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 821 = 5*t + 4*r, -28 + 522 = 3*t + r. Let s be (-1 + 0)\/((-2)\/30). Calculate the greatest common factor of s and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*k - 9. Let x(d) = -d + 30. Let j be x(k). Which is the closest to 1\/2? (a) -14\/9 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404596459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/(16\/4)))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 3505*h**2 + 5*h - 3505.\nAnswer: -5*(h - 701)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35897854, 35897868, 35897896, 35897944, 35898018, 35898124, 35898268?\n\"Answer: n**3 + n**2 + 4*n + 35897848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87495000 rounded to the nearest 1000000?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*p - 31. Let d(g) = 3 - 2 + 0*g - 2*g. Let r(t) = 3*t - 3. Let o(s) = p*d(s) + 3*r(s). Calculate o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11788, -47240, -106354, -189130, -295568?\nAnswer: -425668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 1289 = 1335. Solve m = -61*u + 63*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 1. Let i(c) = -46*c. Let w(u) = -273*u + 4. Let p(m) = -6*i(m) + w(m). What is -6*n(y) - 3*p(y)?\nAnswer: -3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b5 (base 13) to base 9\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2. Let x(m) = -915*m**2 - 244. Give x(b) - 122*y(b).\nAnswer: -1037*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 162 and -9?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 28 - y - 10 - 17 - 56 to h + k*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*p - 3. Let d(n) = -6*n + 2*n + 11*n**p + 8*n + n**3 + 11. List the prime factors of d(-10).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 + q - 9. Let w be v(-4). Suppose -r + 5*j = -27, w*r - 13 = -4*j + 2*j. Suppose r*h = -236 + 866. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 18 + 7. Let u = -523 + 527. Solve q = -u*q - w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1287824053 to the nearest one hundred thousand.\nAnswer: -1287800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22 - 2*r + 67*r + 24 + 1711*r**3 - 2 wrt r.\nAnswer: 10266*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*b - 18 + 67 = 0, -5*d - 3*b + 64 = 0. Suppose 0 = d*u + 36 - 135. What is the remainder when 96 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + 4*o**2 - o - 12. Calculate i(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10883 + 12142. Is 87 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**4 - n**4 + n**4)*(1 - 2 + 2) - 27*n**4 + 57*n**4 + 13 - 29*n**4 as o*n**4 + h + a*n**3 + y*n + u*n**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -20. Let t be 1\/g - (-1)\/5. Let d = 771 - 766. Which is the second smallest value? (a) 0.4 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 177. Suppose 43*g - 300 = 33*g. Calculate the remainder when n is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4))**(4\/11)\/((o\/o**(1\/5))\/o*o**9\/o))**(-1\/35) assuming o is positive.\nAnswer: o**(414\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.53 - 37.23. Which is the third biggest value? (a) k (b) 2\/3 (c) 8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-975)\/(-39) + -19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3971676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44976359 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*((-470)\/80 + 6). Solve 3*h + o = 2*l, -4*l - 5*h + 20 = 51 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/4 - 8*k**3\/3 + 4*k**2 - 7*k - 1. Let a(c) = -8*c - 1. Let t be a(1). What is the units digit of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*u + 934810, 285*u = 290*u + 2*x - 2337073. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 17*f + 44. Let x be k(-6). Is 590 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/5 - 36*-1. Suppose 0*h = 3*h + 33. Let c = h - -68. Calculate the greatest common divisor of c and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 15*r**2 + 31*r + 60. Let i be h(12). Solve 6*v - 5*v = 5*t + 7, i = 4*v + t + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(117)\/(sqrt(27)\/sqrt(3)) + ((0 + sqrt(117))*-6)**2.\nAnswer: sqrt(13) + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 46561 and 46663 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30000 divided by -4\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2664 + 2673. Solve a*c + 2 = 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1782423162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 6*b + b - b to r*b + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 975 + -970. Solve -l = -4*n - 6, k*l = -3*n + 14 - 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -50, -143, -314, -587?\n\"Answer: -4*p**3 - 3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90661, -90745, -90827, -90907, -90985, -91061, -91135?\n\"Answer: w**2 - 87*w - 90575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3801167358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**3 + 0*u**3 - 3*u**3)*(-4*u - 2*u - 26 + 7*u) + 33*u - 33*u + 7*u**4 to g + v*u**2 + b*u**3 + l*u**4 + n*u and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144c1a5a + -3?\nAnswer: 144c1a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-35 + 40 - (1\/1 + 5)). Solve 15 = 5*i, 0 = -k*r - i - 3 + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + ((-2)\/(-6))\/((48\/(-30))\/(-8)). Do -2500 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 42 - 446*d + 7*d**2 + 424*d - 7. Let i be h(7). What is the highest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 3*z**2 + z**2 + (1 - 2*z - 1)*(-z - 2*z + 2*z) + 3*z**2 + 8*z**2 - 4*z**2)*(-2 + 2 + 2 + (4 - 4 + 2)*(0 + 3 - 1) + 5 + 3 - 2).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1983884.799908 - 1983879. Let h = 5.8 - p. Round h to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-931)\/114*(8\/(-35))\/(8\/(-20)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/19 + 130*j**3\/19 + 242*j**2\/19 - 642*j\/19 - 756\/19 = 0. What is j?\nAnswer: -63, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 9*c - 7. Let m be f(-8). Let o be 0\/2 - (-9 - -7). Solve -t + 10 = -2*l - o*l, 3*l = 5*t + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1*6\/(-18))\/(2\/(-750))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 + 339427460*t - 14401375075256450 = 0. What is t?\nAnswer: 84856865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-3 - (-8 + 4 + -12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 7:50 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*5\/(90\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tieifbbfbfifixieii. Give prob of sequence tf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-1080)*-9)\/((-2)\/12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, u: 7, n: 3, j: 3}. Give prob of sequence ju.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-14)*(-1672)\/627.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 17*m + 9*m + 228 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-7.3.\nAnswer: 51.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 107. Let y be c(-40). Suppose -29*u = -y*u - 12. What is the greatest common divisor of 66 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, -48, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**1*z)**42\/((z*(((z**(-2)\/z*z)\/z*z)\/z)\/z*z*z)\/z*z)**(-9)*((z\/(z**1\/z*z))**(-28\/5))**(-10) assuming z is positive.\nAnswer: z**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10 + 8*r + 8*r + 17*r - 15*r**3 - 23. Let k(j) = j**3 - 2*j + 2. Calculate -33*k(x) - 2*p(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -706*-0.11.\nAnswer: 77.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 31*t**2 - t. Is o(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.99 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 513\/17578 - -5\/374. Suppose w = -0*w - 1. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-2 - 1) + (189 - 201))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, d: 1, h: 1, f: 1}. What is prob of picking 1 o, 1 d, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 1. Let n(c) = c**3 + 8*c**2 + 8*c + 9. Let a be n(i). Is (678\/12)\/(1\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 37016685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 270*c - 792.\nAnswer: -2*(c + 3)*(c + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from {l: 4, a: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n - 1871. Determine g(79).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 1 - 5*u + 20*u)*(4 + 4*u**2 - 4) - u**3 - u**3 + u**3 to t*u + h*u**2 + j + w*u**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0773, -2, 14936.\nAnswer: -3, -2, -0.0773, 14936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*m = -f - 1, 0 = -4*f + 2*m - 8. Let k = -29.9 + 30.3. Which is the biggest value? (a) -0.5 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 5662998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -131, 3, 0, -17, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626036039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -7*r + 14\/3*r**3 - 13\/2*r**2 - 1\/4*r**4 - 80. Give s(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119887027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, c: 2, e: 3, m: 3, j: 6}. What is prob of picking 2 p and 2 j?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*w - 1 = 0, 3*x + w - 1 = -14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1141551 - 3593*l + 758*l + 1141551 to the form y*l + k and give y.\nAnswer: -2835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 63*n + 7800. What is m(-124)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, 1 b, and 1 y when four letters picked without replacement from ffcyyybffykkyfy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 + 14*a + 4. Let j(z) = z**2 - 5*z - 1. Let w(b) = 7*j(b) + 2*x(b). What are the prime factors of w(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*((k*k*k*k*k**(4\/3)*k*k)\/k)\/k*k*k**(11\/5))**(-37\/4))**(-29) assuming k is positive.\nAnswer: k**(50431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 10*d - 14. Let w be v(-11). Let y = 0.03 + 3.97. Let n = 3 - y. What is the second smallest value in -0.4, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 202\/18 + 12\/(-54). Suppose 4 = -m + f. Calculate the remainder when (4\/(-6))\/((-32)\/624) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21327802 divided by -5.\nAnswer: -21327802\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48453*f + 6*f**4 - 418 - f**4 - 48492*f wrt f?\nAnswer: 20*f**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1215, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-343 - 16*t + 39*t - 24*t)*(4*t - 4*t + 2*t).\nAnswer: -2*t**2 - 686*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 v, and 1 a when four letters picked without replacement from {a: 1, k: 1, v: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5*c + c)*(0 + 4 - 2 + (-3 - 2 + 4)*(-2 + 5 - 2) + (0 + 2 + 0)*(4 - 36 - 27)).\nAnswer: 351*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 393096, 393202, 393378, 393624?\n\"Answer: 35*h**2 + h + 393060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 104\/(-364)*5*(-8 - -1)*1. Solve -60 = 5*c + i*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1\/68, 0, 3.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r = -14. Suppose 4*w - 6*w = -4*q + 538, q - 133 = -w. Calculate the remainder when q is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26 + -31)*(-2 + -72). Let p = 546 - a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 14495 - 4000. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 4. Calculate u(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 26*s + 44. Determine p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*u - 0*u - 22, -12 = -2*u + a. Let r be -4 - (u - (-2 + 4)). Let w be r\/5 - (-15 + 15). Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*q - 5 + 5 to the form d*q + j and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2\/9, -4\/3, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140.21 + -146. Let w = v - -4.99. What is the nearest to 2\/3 in -2, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 2*c - 2. Let m(d) = d - 12. Let a be m(6). Let w(u) = 111*u + 7 - 11 + 5 - 110*u. Give a*w(z) - 3*q(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b - 5*b. Suppose b = -4*k + 48 - 4. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 603492?\nAnswer: -23\/603492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*b + 4 + 31 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 + (-10 - -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 718200 and 1412460.\nAnswer: 42373800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1245 + -1244. Find o, given that -1\/2*o**2 - 3\/2*o - w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14ac0cb (base 14) in base 8?\nAnswer: -46412663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -584865*a**3*j + 10*a**3 + 12*a**2 - 9*a*j**2 - 29*a + 25 wrt j.\nAnswer: -584865*a**3 - 18*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.91 + 10. Let l = w - 0.05. Let g = l + 0.46. Which is the nearest to 0? (a) 4\/5 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 5. Let b be h(1). Solve -b*u = -4*j - 8, 3*u + 16 = -5*j + 6*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12124 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: How many minutes are there between 5:28 PM and 7:18 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 1.653.\nAnswer: -1.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 181, 169, 151, 127?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**2*w**3 + 30716*g**2*w**2 - 45*g**2*w - g**2 - 9*g*w**3 - 73312*w**3 wrt w?\nAnswer: -30*g**2 - 54*g - 439872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.11, 0, -5, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 110989 = -f, 4*q - q - 110989 = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 135535. Let x(y) = 247*y. Determine b(x(o)).\nAnswer: 494*o + 135535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*h + 4 = 38, 0 = 3*z + h - 18. Suppose n + 4 - 3 = 0. Let j = n - -4\/3. Which is the second biggest value? (a) z (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 18. Let o be -310 - (646\/722 + (-2)\/(-19)). Let m = -319 - o. Give h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 0, 14*t = -x + 17*t - 13. What is the nearest to 2\/5 in x, -4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 304958880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29821 - 29823. Which is the smallest value? (a) s (b) 1\/3 (c) -9\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001529 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98746 is divided by 2663.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 5:08 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/3174 and 61\/865260?\nAnswer: 19900980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24090 divided by -10\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/2 + 9*o**2\/2 + 9*o = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + v = -2*v, 3*v = 5*q + 36. Let b be q*(-1)\/2 + (-203)\/77. Factor 2\/11*h + 2\/11*h**2 - b.\nAnswer: 2*(h - 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192703 or 192705?\nAnswer: 192703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70639041.\nAnswer: 3, 11, 29, 223, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*a*a**1*(a\/(a\/(a\/a**1)*a)*a)**(-7\/8))\/(((a\/(a\/(a*((a\/(a*a\/a**(2\/7)*a*a))\/a)\/a))*a)\/a*a)**(-1\/7)*(a**0\/a)\/(a\/a**(2\/9))) assuming a is positive.\nAnswer: a**(1054\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 6*d + 10. Let j be ((-65)\/25 + 4)*-5. Let b be n(j). Factor -1\/5*o**4 - 1\/5*o + 1\/5*o**2 + 1\/5*o**b + 0.\nAnswer: -o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783183 is divided by 85.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -334686, -334639, -334592?\n\"Answer: 47*b - 334733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q*q**(5\/4))))\/q)**(-47))**3)**(1\/10) assuming q is positive.\nAnswer: q**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.52 + 52.16. What is the fourth smallest value in -2\/7, -1\/3, -5, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145150 smaller than 145150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 16 = -u + 4*i, 0 = -4*u - 4*i - 12. Let g be (-56)\/90 - u\/(-9). Let w = -2.2 - -2.3. Sort w, g, 1 in descending order.\nAnswer: 1, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2838.43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p - 15, -3*k - 5*p + 24 = 0. Solve -5*s + k*o = -3*s - 4, 0 = -4*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -12, -3, -4, -7, -0.31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -19988046200 to the nearest one million.\nAnswer: -19988000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:07 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24067273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 2*m**2 - 6*m + 2. Let x(u) = -u**3 + 2*u**2 - 5*u + 2. Let z(g) = -6*d(g) + 7*x(g). Let o(n) = -n**2 - 4*n. Let t be o(-3). Calculate z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/76878?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*d**2 + 456*d**4 - 1717*d**4 - 970*d**2 - 295*d**3 + 295*d**3 wrt d?\nAnswer: -30264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 4. Let v be o(-2). Let a(n) = 0 + n**2 + 2*n**v - 17*n - 3. Let r(i) = i**2 - 6*i - 1. Let c = -12 + 6. Determine c*a(u) + 17*r(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6595982?\nAnswer: 2, 151, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 16*s + 8\/9*s**4 + 0 + 76\/9*s**3 - 76\/3*s**2 = 0.\nAnswer: -12, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = 0, 3*q - 9 = 6*k - 3*k. Solve -5*o + 10 + k = -4*d, 2*d - 8 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*j + 18, 4*y = -j + 15 - 1. Suppose 0 = -5*i - 27 + 37. Let c be ((-2)\/6)\/(1*i\/(-18)). Solve -c*r + 32 = -y*a, 4*a = -r - 5 - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1612)\/(-558)*(-58)\/(-145)*-5?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -4. Suppose 4*l = -4*l - 56. Let j be (7\/l)\/((-2)\/(-6)) - 3. Do q and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -283 * -4.37.\nAnswer: 1236.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2\/2 - 13*h + 6. What is i(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*q - 48, 4*y - 14 = -2*q - 0*y. Suppose q*t + 2 = 16*t. Let x(b) = -105*b**3 + 3*b + 1. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*u)*(2*u**4 - 4*u**4 + 0*u**4) + 3 + u**3 + 3*u**3 + u**5 + 261*u**2 - 262*u**2.\nAnswer: -3*u**5 + 4*u**3 - u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.303253 != -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -62897255.\nAnswer: 62897255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.59000134 - 0.59. Round b to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by 50.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-236)\/(-5) + (-19)\/(-5) + -3. Calculate the highest common divisor of 272 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -487*h**2*l**2 - 49*h**2*l - 3*h*l wrt l?\nAnswer: -974*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -340*m - 18060. Let h(c) = -27*c - 1505. Give 25*h(y) - 2*u(y).\nAnswer: 5*y - 1505","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 67*u**2. Let y(x) = x - 6. Let k(o) = 3*o + 36. Let r(g) = k(g) + 6*y(g). Give t(r(f)).\nAnswer: 5427*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1289.3 + -1288.9. Which is the nearest to 2? (a) u (b) -0.3 (c) -18.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48943921141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*g - 16. Suppose q + 56 = 3*q - 4*p, -p + 31 = 2*q. Let t be (-6)\/(-12)*q*4. Calculate the greatest common factor of g and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 15 = 0. Let i(p) = -1. Let k(m) = 2*m - 2 - 4*m - 1 - 2. Calculate q*i(a) - k(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*4028.\nAnswer: 805.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 1249 = -63*a + 475 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46693642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 10 = n + 12*f, -248*f + 70 = 3*n - 252*f for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 966489.\nAnswer: 1\/966489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 1, a: 2, x: 2, u: 2, o: 1}. What is prob of sequence co?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102268 and 32342255.\nAnswer: 129369020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:34 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 40. Let j = -8489\/9 - -943. Which is greater: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 289, -2\/255, -0.2, 2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1156208 and 5690?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 36.0815?\nAnswer: 35.5815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = -0*k. Suppose f + 10 = -5*d, 0 = -2*f + k*d - 4*d + 7. Suppose 2*c = -3*c + f. Do c and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 2*n**2 + 3*n. Let c(t) be the third derivative of -39*t**2 + 0*t**4 + 0*t**3 + 0*t + 0 - 1\/10*t**5. Give c(d(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1991304545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 34*w - 473. Let g be q(14). Determine t, given that 22\/7*t**4 + 0 - 22\/7*t**g + 4\/7*t - 6\/7*t**5 + 2\/7*t**2 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 988 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543614187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p - 158 = -368 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c. Let s be h(-1). Suppose 2*x - x + 112 = 0. Let w be (64\/x)\/((-4)\/14). Solve 5*q = -5*g - 20, s = -0*g - g - w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -30*b**4 + 27*b**3 + 114*b**2 - 108*b + 24 = 0.\nAnswer: -2, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/215292 and 149\/25942686.\nAnswer: 51885372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + p**2 - p**2)*(3 - 6 + 0).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllplppplpl. Give prob of picking 4 l.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/((-30)\/(-24)). Let m = 10583.9 - 10584. What is the second biggest value in x, m, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3039*d**2. Let b(g) = 978 + g + g**2 - 978 - g. Determine x(b(h)).\nAnswer: -3039*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -375 - -379.26. Let k = 4.38 - h. What is the biggest value in -1, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 29 + 15802552*s - 15802555*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 86 - 715 + 33 = 0. What is the remainder when 5\/(10\/4) - -72 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 769906*m\/3 - 148188812209\/3.\nAnswer: -(m - 384953)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-4)*(1 + 0). Let w(f) = 4*f**2 + f - 1. Let d be w(q). Solve 5*n + 7 - d = -5*c, 3*c = -2*n + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1)*(-22)\/11. Suppose -k - 5*z + 135 = 4*k, 4*k = 4*z + 84. Suppose -4*m = -0*m - k. Calculate the highest common factor of m and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 26652416?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -70.4604 * -0.07\nAnswer: 4.932228","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Factor -3*n**2 + 2*n**5 + n + 7*n**2 - 4*n**4 + b*n - 3*n.\nAnswer: 2*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 165? (a) -0.1 (b) -1.58 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1622 + -2286. Let q = z - -1060. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.45 (b) 0.1 (c) 5 (d) -5 (e) 0 (f) 66257\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -56*t**3\/3 + 3. Let p(d) = 7971736*d**2 - 3985867*d**2 - 3985874*d**2. Determine p(b(z)).\nAnswer: -15680*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -573 + 576. Suppose 2*d = -f - 2*d + 9, 4*f - d = 2. Suppose n + w*j = -n + 18, 0 = 3*n - 2*j - f. What is the highest common factor of n and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864644107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 - 13*d**5\/120 + 7*d**4\/48 - d**2 - 10. Find y such that z(y) = 0.\nAnswer: -7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*a**3*h**2 - 882*a**3*h - 6*a*h**2 - 3*a + 2*h**2 - 1563*h + 2 wrt a?\nAnswer: -3720*a*h**2 - 5292*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:01 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/32 and 51\/56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -17. Let q(j) = 7 - j + 1 - l + 0. Let a be q(5). Solve 6*k - 2*k + 2*x = 14, k - a*x = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -19 - c + 42*c**2 + 22\/3*c**3 - 2\/3*c**4. Solve u(x) = 0.\nAnswer: -3\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49824180 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.4. What is the third biggest value in f, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15631.04602 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5954*i + 2629*i + 22 - 24 + 143*i in the form a*i + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -3*c - 6, -4*c + 5*p = -6. Let o(m) = 25*m**2 + m. Let l be o(c). Let u be ((-1)\/(-3))\/(2\/l). Calculate the greatest common divisor of u and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931521572.\nAnswer: 2, 3, 17, 1052027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 3, i: 4}. What is prob of picking 4 z?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 560\/65)*(-19578)\/(-4518)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**15*x*x**(-25) assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:08 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/20)\/(3\/(15\/(-26)))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 51. Let c be u(-8). Let j(o) = -9 - 9 - 9 + 9*o. What is the units digit of j(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2) - 21\/14. Sort -1, 4, 5, r.\nAnswer: r, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 9, e: 5}. Give prob of sequence qz.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8. Suppose y + h + 28 = k, 5*y - 3*h + 164 = -0*y. Let f = y + 36. Solve -f*z + 0*z = -15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 73*i + 137. Let h be r(38). What is the highest common factor of h and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/70 + s**6\/10 + 3*s**5\/20 - s**4\/2 - 2*s**3 - 14*s**2. Factor y(r).\nAnswer: 3*(r - 1)*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450*n + 19329 = -5871. What is the remainder when 2239 is divided by n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9401 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1108384 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3570)\/150 - -23)\/((-2)\/(-40))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 472285 + -472075.379. Let y = w - 210.3209276. Let k = 0.7 + y. What is k rounded to six decimal places?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-16)\/6)*174\/406. What is the fourth biggest value in -2\/9, -46, p, -1\/11?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 25*n**2 + 5*n + 2*n**2 - 14*n**2 - 23 - 15 to k*n + y*n**2 + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-1 + (((sqrt(2736)*2 + sqrt(2736))*4)**2 - (0 + sqrt(2736) + 4)) + -6*(sqrt(2736) + sqrt(2736)*-1 + 5)).\nAnswer: -60*sqrt(19) + 1969748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 299454*v\/11 - 2695248\/11.\nAnswer: 2*(v - 149736)*(v + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose 0 = l*m - 107 - 113. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220117 or 220118?\nAnswer: 220117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4. Let l = -824 + 825. Let w(o) = o + 8. Let h(a) = l*w(a) + 2*j(a). Let m(c) = -7*c**2 - 3*c**2 + 2*c**2. Calculate h(m(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 203, 210, 217, 224, 231?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164760307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 52*x + 1775. Let n(r) = -2*r. Determine n(a(f)).\nAnswer: 2*f**2 + 104*f - 3550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-45)\/6) + (-42)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010.828 nanograms in tonnes?\nAnswer: 0.000000000001010828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 5194806.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/((-1026)\/(-133))*(-8)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.015 - 0.855. Let u = j - -0.37. Let r = u - -10. Which is the nearest to -5? (a) 1 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 10*m**2 + 35*m - 20.\nAnswer: -5*(m - 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(4800) + sqrt(36)\/(sqrt(72)\/(sqrt(96) + sqrt(6)) + sqrt(12)) + -2 + (-1 + (sqrt(120)\/sqrt(4))\/sqrt(10))**2 + -1.\nAnswer: 1 + 233*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.0469 + 0.0469. What is the smallest value in -2\/23, n, -4, -1\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 64 = -52. Let t be (-81)\/s*-4*(-1)\/6. Find the third derivative of -t*n**4 + 19*n**2 - 3*n**3 + 3*n**3 - 3*n**4 wrt n.\nAnswer: -288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*9*(-38)\/(-57). What is the highest common divisor of 15 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 918 = 32*z. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014469694 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -368 - -2351\/6. Let l be (-15)\/9*((-158904)\/(-99) - 3). Let k = l + 2668. Find the common denominator of k and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2824\/16183?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u + 59. List the prime factors of z(9).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.797 + 0.297. Sort 0, m, -10, -1\/3, -2\/5 in increasing order.\nAnswer: -10, m, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15856*s - 15847*s - 24 + 31705*s - 33.\nAnswer: 2*s - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2318 - -2741. What is the remainder when a is divided by 171?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/14 + -3)*(0 - -7). Let n be -2 + (c - 1) - 65. Let w = -60 - n. Calculate the lowest common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 30, 6 in decreasing order.\nAnswer: 30, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*q = 9, 2*q - 20 = -3*d + 2. Suppose -d*s + 184 = -2*s. Suppose 6*p - 316 = s. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177152304533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32248665, 64497331, 96745993, 128994651, 161243305?\nAnswer: 193491955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = 7. Let x(j) = -4*j - 56. Let l be x(-15). What is the second biggest value in l, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*i**3*l**2 - 11489*i**3*l - 33146*i**3 wrt l.\nAnswer: -14*i**3*l - 11489*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4304*s + 17209. Give o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 496946\/21 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/15*1). Let m = 9 + -4. Suppose 0*o = -m*o + z. Calculate the remainder when 8 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463183357?\nAnswer: 7, 13, 5089927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*f - 129*f + 514*f - 120*f - 2*f**2 - 137*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 18*g**2 + 32*g + 5. Let c be q(16). What is the second derivative of r**2 + 6 - c*r**4 + r**2 + 6*r**4 - 2*r**4 - 3*r wrt r?\nAnswer: -12*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -17*a**2\/2 - 96*a + 30. Differentiate f(p) with respect to p.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + 2.3369279142647?\nAnswer: 2.3669279142647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 59*d**4\/24 - 11*d**3\/6 - 4*d**2. Let y be j(9). What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166371 and -10.\nAnswer: 1663710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 7158360.\nAnswer: 28633440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 + 7*b - 1. Let w = -95 + 90. Give c(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 10, -12*r = -10*r - 5*i - 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6390 and -1480.\nAnswer: -9457200","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1349\/3 + 449. Which is the nearest to 1\/3? (a) i (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 7*l**6\/120 - 2083*l**3\/3 + 10*l**2 + 167. What is the first derivative of a(j) wrt j?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*d + k + 44, 2*d - 46 = k. What is the remainder when 73 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17292.9*5\nAnswer: -86464.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-730))\/((21\/90)\/(1841\/(-789)))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/66 + 31\/11. What is the highest common factor of 12 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22390393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -4)\/((-1)\/((-247)\/1)). Let n(r) = x - 247 - 2*r**2. Let l(p) = 8*p. What is l(n(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f + 2*g - 4, -3*f + 18 = 3*g. Let b(m) = -50 + 0*m - 174441*m**f - 4*m - 7*m + 52. Let h be b(3). Round h to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 13 + -3 + -1 + (5 - 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.323, -0.86, -8 in descending order.\nAnswer: -0.323, -0.86, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + (22 - 25) + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -6.4. Let i = -0.5 - -0.2. Let p = -6 + 1. What is the third biggest value in p, c, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 196, 266, 318, 352?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4115 + 69844\/17. Let i = r - -1507\/85. Calculate the common denominator of 42\/11 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 + 11 = 0. Let b(x) = -2*x - 14. Let g be b(d). Solve g = -2*u + 2*a + 9 + 5, u = 2*a + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 9*u**3 + u**3 + u + 6*u**3 + 7*u**3.\nAnswer: 5*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24665.\nAnswer: 5, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzennn. What is prob of sequence nz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(-13447)\/87465 + (-5)\/(-7).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.1, 5, -9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 935, 3096, 7255, 14066?\n\"Answer: 109*v**3 + 18*v**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (52\/(-520))\/((-12)\/5). Let v(m) be the third derivative of m**2 + 0*m - 1\/2*m**3 + 0 - t*m**4. Determine v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v + 194. Is r(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4 - 4 + 1)*(3 + 3 - 3)*(2*m**4 - 2*m**4 - m**4) + (-5 + 2*m**2 + 5)*(2 - 2*m**2 - 2) - 3*m**4 + m**4 + 3*m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 55. Calculate the smallest common multiple of d and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 + 64. Let a = z + 98.9. Let w = a + 16.59. What is w rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.10346 or 192?\nAnswer: -0.10346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 118377406 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1948344 is divided by 913.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.86 - -56. Let j = -0.1 - s. Let g = j - 0.17. What is g rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-38)*2)\/(-32*(-126)\/(-6048))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 86129 divided by -1421\nAnswer: -86129\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/12 + u**3\/3 + 66276*u**2. Let i(v) = -v - 3. Let h(w) = 3*w + 8. Let p(d) = -3*h(d) - 8*i(d). Give p(o) + t(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-4)\/(-48)*0. Solve k*s - 2*s = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 0*c + 0*c + (-1720 - 54*c**5 + 1720)*(5 - 2 - 1).\nAnswer: -107*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -29, -7, 0 in decreasing order.\nAnswer: 5, 1, 0, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*m*n + 2*b**2*m + 4*b**2 + 6*b*m + 2*m*n + 18*m - n wrt b.\nAnswer: 4*b*m*n + 4*b*m + 8*b + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, -2\/9, 0.3, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 266235701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 + 48*f + 209 + 9*f + 213 - 628.\nAnswer: 57*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.33, 1\/2, -4, -1, -61 in ascending order.\nAnswer: -61, -4, -1, 1\/2, 1.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*22\/22*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*v - 1081 + 328 = 0, 4*v = 3*f - 758. Is 41 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 58*o - 505. Determine x(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/8 (b) 1 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 187*x + 3627. Calculate l(-110).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18097 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/5373 + -123632\/284769. Let b = r - -2\/371. Sort b, -2\/9, -3 in descending order.\nAnswer: -2\/9, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -599?\nAnswer: 59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 63440.\nAnswer: 444080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/3, -10\/7, -1\/8, 44423 in descending order.\nAnswer: 44423, 1\/3, 0, -1\/8, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6715.23ml to litres.\nAnswer: 6.71523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267222562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(153) + -1*(2 + sqrt(153)) + (2 + sqrt(153))*-2)**2 + (-5*(-1 + sqrt(153) - sqrt(153)) - (-3 + sqrt(153) + 1))**2).\nAnswer: 60*sqrt(17) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + 295\/60)*146 and 310\/(-8) + 2\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4356 * 5\nAnswer: -2.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-5694)\/(-57) - 38\/(-361)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -48*z + 22*z + 15 + 25*z. Let u be g(5). What is the highest common factor of u and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*v*w + 13*v + 1 wrt w.\nAnswer: 73*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:51 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 2\/15*j**3 + 0*j - 1\/24*j**4 + 1\/300*j**5 + 0 - 26*j**2. Factor p(r).\nAnswer: (r - 4)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18370*b**5 + b**3 - 840268*b**2?\nAnswer: -1102200*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 8. Let b = 2 - 1. Let k = b - c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -19, -4, 11, 26?\n\"Answer: 15*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163349846 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*d**6 - 113*d**3 - 2*d**2 + 3230*d - 10?\nAnswer: -8640*d**3 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 1. Let m(a) = -6 - 2*a**2 + 182*a**3 - 176*a**3 + 2*a**2 + a**2. Give 5*k(p) + m(p).\nAnswer: p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3618 (base 14) in base 10?\nAnswer: -9430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttjjjjt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17056 and 16348832.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -293421076*f**2 - 255557425 wrt f?\nAnswer: -586842152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3819.\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 - 202 = -6*t. Suppose -q + t = b + 2, q = 3*b - 10. Solve 24 = -x - 4*m, b*x - 3*x = 4*m + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -397?\nAnswer: 63\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucyc when four letters picked without replacement from {u: 1, b: 2, c: 2, y: 7}.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 2. Let z be l(1). Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14128b001 + 4?\nAnswer: 14128b005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184301898 to the power of 1\/3, to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 74. Calculate the common denominator of (-1644)\/(-16)*(-8)\/j and -43\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1548 and 351998?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35633, 35617, 35601, 35585?\n\"Answer: -16*o + 35649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) - 2*sqrt(2)) + -2 + sqrt(24)\/(sqrt(48)\/sqrt(4))*-3.\nAnswer: -4*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/((-162)\/(-20))*12\/10. Solve -r - 5 = 0, -9*c = -p*c + 4*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -419, -430, -441, -452?\n\"Answer: -11*c - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*q - q - q)*(3*q - q + 0*q)*(8 - 9 - 11) - 4 - 11*q**2 + 4 as c*q**2 + y*q + m and give c.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564*b - 144 = 556*b. Let i = 34 + -23. Calculate the remainder when b is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 299\/5, 2\/655 in increasing order.\nAnswer: 2\/655, 2, 299\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 3. Let b be c(-3). Let y = -4 - b. Solve -2*g + 3*j = 9, -3*j - j + 12 = y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1597*d**2. Let p(x) = -55*x - 3. Let u(g) = 92*g + 5. Let q(o) = 5*p(o) + 3*u(o). What is q(s(n))?\nAnswer: 1597*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25339, 25296, 25253, 25210, 25167?\n\"Answer: -43*r + 25382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 a, and 1 d when four letters picked without replacement from {d: 1, w: 1, l: 1, a: 3, j: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.827 + -4.8270007144. What is b rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -28. Let h = c + -20. What is the second biggest value in 0, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z + 45*z = -28 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1007 + -1004. Let s = -210 - -1051\/5. What is the nearest to -2 in s, 1\/3, y, 14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or 2\/89?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*l - 3040 - 2708 + 41*l - 32*l.\nAnswer: 90*l - 5748","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 49, 72?\n\"Answer: 23*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 65*p**2 - 222*p + 63. Give l(68).\nAnswer: -1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*z - 6 = 200*z. Solve -2*d = -z + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 10*r + 11. Let d be m(-8). Let x(b) = -b**3 + 2*b**2 + 4*b + 1. Let l be x(3). Sort d, l, -4 in descending order.\nAnswer: l, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -1.5. Suppose 6*j + 100 - 124 = 0. Put 5, w, j, -0.5 in decreasing order.\nAnswer: 5, j, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 42200?\nAnswer: 126600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**3 - o**2)*(o - 2*o**2 - o) + 16 + 17 + 3*o**5 - 37.\nAnswer: 5*o**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = u, -2*w - 5*u = -0*u - 20. Let j = -1 + -2. Let h = -2 - j. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3010515*r**2 - 13*r. Let g be k(11). Let v = 226672442 + g. Let d be v\/8 - (0 + -2). Round d to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.168 and 2.37?\nAnswer: 0.39816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 5.38.\nAnswer: -4.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53596, 0.5, 48 in decreasing order.\nAnswer: 53596, 48, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t - 11 + 3*t + 5*t**2 + 5*t**2 + t**3 + 5*t. Let g be (-1 - (2 - -1)) + -5. What are the prime factors of n(g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0391*0.9\nAnswer: -0.03519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -130, -261, -448, -697, -1014, -1405?\n\"Answer: -m**3 - 19*m**2 - 17*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 183. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 69*t - 154. What is b(-72)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -1, 2\/5, 1, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 641, -1, 6, -352 in descending order.\nAnswer: 641, 6, 5, -1, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Solve 3*g = t + 4 - u, -g = t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -6. Suppose -9*l + 56 = -b*l. Calculate the remainder when 19 is divided by (l\/35)\/((-2)\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1458 - 1410. Solve 35 = 41*u - v*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255043 (base 6) to base 2.\nAnswer: -101101001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 7. Let u = 4 + j. Is 38\/(-3)*(4 + u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -837 + 837 - 7287*k - 135*k**2 + 134*k**2 to the form j*k + b*k**2 + g and give j.\nAnswer: -7287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -765 + 759 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -2\/145, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 80\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -1.5. Which is the second smallest value? (a) i (b) -1\/3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3179 = 2*v + 355, 3*v + 4*j - 4238 = 0. Let a = 848 - v. Round a to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*t + 28*t - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -65*r**2 - 4*r - 4. Let m(b) = -b - 1. What is f(h) - 6*m(h)?\nAnswer: -65*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2832310?\nAnswer: -283231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*5\/3*49\/(-882)*-162\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -36*q - 825. Calculate h(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(40)\/sqrt(4)) + 3)**2.\nAnswer: 6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 58. What is the remainder when 4 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -62. What are the prime factors of (-9)\/3 + j + 157?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128.4 * 1\nAnswer: 128.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.00548 - -39. What is s rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 8451d?\nAnswer: 84524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*x - 615. Suppose -2*c = -5*c + 5*h + x, 2*c - 116 = -2*h. Suppose z = -z + c. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -118. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*a + 16095 = -15765 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1307 + 1306. What is the nearest to j in 0.1, 0.3, -3\/70?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11766105 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5) + -6 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Solve 3*w + 23 = 5*d, -5 = -d + w - i*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948965, -948967, -948959, -948935, -948889, -948815, -948707, -948559?\nAnswer: -948365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885779087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-3)\/450)\/((-6)\/20*6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 40*o**2 - 12*o**4 + 5*o**4 + 44*o**3 = 0. Calculate o.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.1, -4, -0.16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17613 divided by 5871.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13037, 52950, 119757, 213458, 334053?\n\"Answer: 13447*z**2 - 428*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82178539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o - o)*(3 + 0 - 5) + o - 2*o + 5*o + 2 - o - 2.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21451406.\nAnswer: 2, 1231, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 213672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*j, 3*k + 90*j - 92*j = -0*k - 30 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/23*o**4 + 8192\/23 + 768\/23*o**2 - 4096\/23*o - 64\/23*o**3.\nAnswer: 2*(o - 8)**4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(52) - (-2 + sqrt(2548)) - sqrt(364)\/((sqrt(49)\/sqrt(7) - sqrt(7)) + sqrt(7)))*6)**2.\nAnswer: -2352*sqrt(13) + 91924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18846\/19 - 130246\/171. Let y = d + -230. What is the fourth biggest value in y, -0.4, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015011048 rounded to 5 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -67*q**3\/6 - 4*q + 1. Let s(p) = -5*p. Let x(w) = -2*w. Let k(d) = s(d) - 3*x(d). Determine k(t(r)).\nAnswer: -67*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:06 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28 - -4) + 20\/(-5). Let v = q + -25. Suppose f - 56 = -4*l, -v*f + 31 = 4*l - 25. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2531, -4977, -7423, -9869, -12315?\n\"Answer: -2446*s - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3804*s + 3806*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 3*o + 75. Let x(k) = 8*k**2. What is w(x(r))?\nAnswer: -128*r**4 + 24*r**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/2 - 4629*f**4 - 10630155*f**3 + 387378206*f**2 - 6161173833*f\/2 - 7795653849 = 0. Calculate f.\nAnswer: -4647, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.09. Let q = -0.01 + j. Which is smaller: 2\/15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3873774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 26*c + 37 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 14585 = 7*u + 5*p, 0 = -2*u - 5*p + 7255. Is u a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15900 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20287 = -4*g - 3*u, -g + 1040 = 2*u - 4038. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/(-1044) + (-1)\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 64*b**3 - 6276*b**2 + 388*b + 375. Calculate w(98).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1535, -1537, -1549, -1577, -1627, -1705, -1817?\n\"Answer: -x**3 + x**2 + 2*x - 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.029, 0, -0.8, -1, 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.268109, 0, -1.79?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j = -2*j + 161 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 15) to base 16\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*n - 1607*n + 539*n + 57*n**2 - 9*n**2 + 532*n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*d - 19, -2*x - 3*d - 3 = 15. Let k = 0.455 - 0.45. Let i = 0.595 + k. What is the second smallest value in x, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 809 - 633. What is the smallest common multiple of i and 56?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555121017 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose -o*b = -4 - 1. Let u be (-21)\/(-6)*4\/b. Solve 0*g - 4*g - 2*v = -u, -11 = -5*g + 4*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-14) - 36\/(-966)*-23\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(40)\/sqrt(4)) + 1.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157174902.\nAnswer: 2, 3, 8731939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(3*(-299)\/46)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 249*t + 181. What is the hundreds digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25890, 25893, 25896, 25899, 25902, 25905?\nAnswer: 25908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7533.689m to nanometers.\nAnswer: 7533689000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 50427*d + 201672. Give f(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-22) - (-24582)\/33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 1:30 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 - -225. Suppose 0 = 3*n - 0 + 3, 3*x - 17917 = r*n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450683*m**2 + 119731*m - 3 wrt m?\nAnswer: 901366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1253, -1617, -2 in descending order.\nAnswer: 1253, -2, -1617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h - 314 - 90 = 338 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 4416.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 4*y - 4*m, y - 5*m = 34 + 15. Suppose y*k = 25*k - 63. Let s = 11 + -8. Put k, 0, s, 5 in increasing order.\nAnswer: k, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430604?\nAnswer: 2, 83, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -13446036.\nAnswer: -1\/4482012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -135\/13367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -186a9378?\nAnswer: 186a9373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -42, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31372670 divided by 370?\nAnswer: 84791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*y**6 + 3*y**3 + 2 - 3*y**3 + 11425*y**2 - 11757*y**2 wrt y.\nAnswer: -1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7 - 7*l - 6*l + 0*l**3 - l**3 - 11*l**2 + 14*l. Let c be b(-11). Let y = c + 11. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765 + 2300 - 767 + 32*u - 768 - 47*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237871 is divided by 70.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8483?\nAnswer: 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9565 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/2)\/(t*t**4*t*t)*(t\/t**(-1\/5))\/((t*t\/((t**(-1\/8)*t)\/t))\/t) assuming t is positive.\nAnswer: t**(-417\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2451796)\/(-393) + 13\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1888412 (base 9) to base 13\nAnswer: 2b27bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.227 - 181.227. Let f = -69 - p. Let a = f + -100.2. Round a to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89.0066 - -89. Round w to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/2 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -0.5, 26, 0 in decreasing order.\nAnswer: 26, 0, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*10\/(-4) + 6519\/(-1431)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389976, 779966, 1169956, 1559946?\nAnswer: 1949936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12095 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 31*v - 14. Let y be j(17). Let t = y - -760\/3. Factor -2\/3*c + t - 2\/3*c**2.\nAnswer: -2*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1369 - -1365. Let k be (-2)\/(-15)*(-18)\/8. What is the closest to 0 in k, -3, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*b*k**3 - 3367808*b + 1081*k**3 + 17*k**2 with respect to k.\nAnswer: -39*b*k**2 + 3243*k**2 + 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/(3 - 2). Let g be (505\/f)\/(-5) + 3. Let l = g + 46. Which is the closest to 1? (a) 2\/29 (b) l (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k**(5\/7)*k))\/k))*k**(-2\/17)*k)\/((k\/(k*k**(-10\/9))*k)\/(k**(3\/10)*k*k)))**(-11) assuming k is positive.\nAnswer: k**(75757\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + 17*g**2 - 5*g - 5. Let s(v) = 6*v**3 - 26*v**2 + 8*v + 8. Calculate 8*q(j) + 5*s(j).\nAnswer: -2*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 134444000 to the nearest 1000000.\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*q - d - 0*d, -60 = -5*q - 2*d. Let r be q\/3*(-36)\/(-30). Solve -r*i + 5 = 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a + 5*a + 7*a + 2346.\nAnswer: -7*a + 2346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/(-476)*(-21)\/2 - (-44)\/10.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 - 24 = 4*f, -2*z - 12 = 4*f. Let w = -0.04 - -0.34. What is the nearest to z in 0, w, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 <= 4018\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -28*w - 4. Let n be f(12). Let v = n + 593. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966925 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 72*s**2 + 120*s - 4293. What is g(36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4098177?\nAnswer: 3, 455353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e4 (base 15) to base 3.\nAnswer: 121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*z + 1030 = 6*u, -2*z = -6. Is 51 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 11. Let l = -67 + 62. Let n be x(l). Let w = 5 - n. What is the remainder when 15 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcccw. What is prob of sequence cw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/60)\/((27\/(-12))\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 371 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -61 (b) 1\/3 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 + 64*c**3\/5 - 140*c**2.\nAnswer: -c**2*(c - 50)*(c - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22719 + 42895. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-438561*z**3 - 2*z - 140 + 219276*z**3 + 219273*z**3)*(-4 + 5 - 2)*(-3*z + z + z) to x + n*z + c*z**3 + y*z**2 + w*z**4 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 44*a. Let n(u) = 6*u**2 - 5. Let c(b) = -b**2 + 1. Let x = -3 - -8. Let q(s) = x*c(s) + n(s). Calculate i(q(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 47812?\nAnswer: 4207456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (-8 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20182.05 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 556*g**2 - 42. Let n(y) = 2*y**2. Give s(n(x)).\nAnswer: 2224*x**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9246 + 9251. Solve 20 = -5*p, 3*k + p + 4*p + w = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:17 AM?\nAnswer: 287","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t + 2*t**2 + 0*t**7 + 0*t**6 + 0 - 1\/10*t**5 + 0*t**3 + 0*t**4 - 1\/48*t**8. What is the third derivative of w(d) wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -17.07. Let p = -1234 - -1233.92952. Let n = p - g. Round n to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8822 + 43*w**2 + 600 - 41*w**2 to the form p*w**2 + q + i*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -10931?\nAnswer: 10932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.039192 nanoseconds in microseconds?\nAnswer: 0.003039192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -490 - -491. What is the closest to c in -1\/9, -1, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*r + 1125*r = 644 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320*b**3 - 951*b**3 + 1647*b**3.\nAnswer: 2016*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/146792 and 65\/4816.\nAnswer: 88368784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2436758\/19 - 128204. Let z = r + -10207\/190. Find the common denominator of 1035\/462 + (-2)\/7 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + r**3 - r**3 + (2*r - 2*r - 2*r)*(4 - 4 - r**3) + (-r**3 - 2 + 2)*(-r + 2 - 2) + 6*r**4 - 3*r**4 - r**4 + 3*r**4 + 3*r - 3*r.\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411452 - -47735. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.062465 centuries in years?\nAnswer: 506.2465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 9. Let b be s(5). Suppose 3*p = b*u - 20, 2*p = -u - 3*p + 5. Solve -u*g - 6 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34347209441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -5*z + 3*z, 3*z = -3*r + 36. Suppose -3*q = 1 - z. Suppose -5*w - 3*c = -34, -w + c = -q*c - 16. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280729, 561421, 842075, 1122691, 1403269, 1683809?\nAnswer: 1964311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16)*h**(1\/8)*h)\/(h*h**(-13\/3)*h*h*h**(2\/17)*h) assuming h is positive.\nAnswer: h**(-5981\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120 and -13879.\nAnswer: 1665480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (27 + (1092\/(-26))\/3).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87088.6 - 87089. Let k = 0.34 + 0.06. Sort c, k, 2, -3.\nAnswer: -3, c, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (950\/(-140))\/(((-1800)\/(-105))\/6).\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*r - 30 = 0, 0 = 5*r - 31 + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 2*q + 1. Let o(i) = i**2 - 3*i - 2. Let n be o(4). What is the remainder when c(n) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2724367916 and 3578.\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*x**6 - 1275*x**3 + 15308*x**2 - 4*x wrt x.\nAnswer: -1440*x**3 - 7650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k - 1176. Determine d(79).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqtc when four letters picked without replacement from ctttcttlttcq?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(175) + 2)**2*4 - ((-3*sqrt(14) + sqrt(14))\/sqrt(2) + (sqrt(1008) + sqrt(1008)*3)**2).\nAnswer: -11832 + 482*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 116 = 4*k. Let j = 58 - k. Suppose -12*h - 27 + 2655 = j. List the prime factors of h.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230)\/20 + ((-36)\/(-8))\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 2 + (1148573470\/1650 - 4\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krxrkrsnkn. What is prob of picking 2 k and 1 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s, -12*y + 4*s = -7*y - 4. Solve 11*w + 6 + 5 = y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353*b**2 + 29*b - 79*b + 50*b to the form y*b**2 + m*b + r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*f = -59*f - 85*f + 3*c + 117, 35*c - 81 = 3*f + 26 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -99*z**2 + 208. Let a(r) = 1387*r**2 - 2964. Let q(u) = -4*a(u) - 57*i(u). Let k(b) = 12*b - 1. What is q(k(d))?\nAnswer: 13680*d**2 - 2280*d + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 30529*n**2\/3 - 77612320*n - 854967300.\nAnswer: -(n - 15270)**2*(n + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236538 is divided by 171?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4 - 3*w - 6*w + 6*w. Let h(b) = -b**3 + 3*b**2 - b - 4. Let x be h(0). What is n(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -729561.49991 + 729526.5. Let y = a - -35. Round y to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 2. Let c be m(-2). Let g = 75 - 75.43. Let i = g - -0.03. Sort -5, c, i.\nAnswer: -5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-15)*321)\/2. Let k = v - -119. Calculate the highest common factor of 252 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1571.133 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41485 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 - 3*c + 2. Let w be t(3). Let j(b) be the first derivative of -b + 8 + 5\/2*b**2. What is j(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p**2 - p - 3. What is k(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 10*z + 1. Let x be h(9). Let w be ((-21)\/14)\/((-2)\/x). Let p = 6 + w. Which is bigger: p or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let a(m) = 14*m + 28. Let i(f) = -a(f) + 12*x(f). Let s be i(-10). Solve 0 = -2*p + s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686485979 divided by 3?\nAnswer: -562161993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and (12\/18)\/(18\/1251) - (-10)\/6?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 - 405*t - 620. Give r(69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6 = 2*o, -2*o - 2 - 6 = 4*j - 5*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7665289, 7665265, 7665241?\n\"Answer: -24*m + 7665313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 77. What is the units digit of 866\/3 - (35\/l)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2866, 11465, 25794, 45853, 71642, 103161?\nAnswer: 140410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -13 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(684) - (-3 + 1 + sqrt(684))) + -2*(2 + sqrt(684) + sqrt(684)))**2 - (((2*sqrt(152) - sqrt(152)) + sqrt(152))\/sqrt(8) - sqrt(1539)*-6)).\nAnswer: 40*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3813145, 15252544, 34318209, 61010140?\n\"Answer: 3813133*l**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 30483268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/5, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.2947ml in litres?\nAnswer: 0.1932947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20666105 + -44?\nAnswer: 20666031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 206 + 14 = 0. Suppose i - 5*i - 2*s = -d, 3*i + 5*s = 40. Suppose i = f - 7. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3) + -23*60\/90?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -512 + 64*o**4 + 531 + 20*o**4 wrt o.\nAnswer: 336*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -1.7. Which is the nearest to 0.1? (a) 2 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 8 = -11, 3*q + r = 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*u**6 - u**3 - 491*u**2.\nAnswer: 6360*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3*t**2\/2 - 4. Let k(a) = -5*a. Calculate -11*g(b) - 6*k(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + -0.2. Let t = -9 + 9. Let n = 0 + 0.1. Put t, n, f in decreasing order.\nAnswer: n, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 943 = 11*h + 1075. Let i(u) = -u - 15. Let k(y) = y + 14. Let b(j) = 2*i(j) + 3*k(j). Determine b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489242 or 489254?\nAnswer: 489254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1351 - 6?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i - 14. Let t be d(-2). Let y(b) be the first derivative of t*b**4 + 0*b**2 + 0*b - 1\/3*b**3 + 2. Find the third derivative of y(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 9) in base 4?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -42\/5 (c) 1 (d) -8 (e) -2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91280*b**3 - 91266*b**3 + 182831*b**3.\nAnswer: 285*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415*n**3 + 348*n**3 + 4 + 166*n**3 + 178*n**3 to r + o*n**2 + g*n**3 + v*n and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/176 and (-16)\/(27 - 43) + (-154)\/1216 + -1?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/11 - -1) + 60\/(-15)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120111210 + -12?\nAnswer: 1120111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -618.\nAnswer: 1\/618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 3*y**2 + 2*y - 2. Let c be t(3). Let n = 7 - c. Find the third derivative of 4*h**2 + h**2 - 7*h**3 + 0*h**2 + 2*h**n wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.48 + 37.68. Let u(s) = -s + 2. Let w be u(11). Put -0.1, w, 5\/6, p in ascending order.\nAnswer: w, -0.1, p, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_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 are the prime factors of 2949?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -140235?\nAnswer: -140240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.476283 to 2 decimal places.\nAnswer: -35.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269624310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198.7464 - 0.0536. Let s = g + 199. What is the closest to 2 in s, 0.1, 2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5671954 and 27984.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by (-2)\/(-3) + (-511)\/(-21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 923 + -750. Let i = g - 73. What is the highest common divisor of 60 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 2 - 0) + -3 - (2 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -5 in decreasing order.\nAnswer: 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 9. What is s(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -30574.74364 to the nearest ten.\nAnswer: -30570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/720 - 17*p**4\/12 + 5*p**2. Let d(u) be the second derivative of m(u). Let t(c) = -16*c**2. Determine t(d(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (0 + -15 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6) + 34\/(-12))*(-2850)\/16625. Suppose 0 + 0*f - f**4 + l*f**3 + 3\/7*f**2 = 0. What is f?\nAnswer: -3\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 453 - 273. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - (1 - 0\/(-4)). Suppose l*t = t + 168. Let p(d) = d**2 - 22*d + 28. Let f be p(t). What is the highest common factor of f and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let u = 98\/3 - 33. Let k = 53.5 - 53. What is the nearest to o in -0.5, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38131 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 1. Let y = 8.9 + o. Let v = 10\/67 + 47\/134. Which is the third smallest value? (a) y (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22722)\/(-29755)*15\/18?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 7) to base 2\nAnswer: -111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i + 218 - 371. Suppose 991 = 2*n - 3*g, -i*g + 13*g + 1484 = 3*n. List the prime factors of n.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*i - 3, 2*q + q - 2*i - 15 = 0. Let r be (0 + 1)*(q + -9)\/2. What are the prime factors of (-124)\/(-16) + 2 + r\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 13*z + 8. Let v be a(9). Let u = -26 - v. Put -2, u, -5 in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 - 34*x**2 + 14*x + 168. What is a(-2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 - 25*o**3 - 9*o**3 + 11 wrt o.\nAnswer: -102*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*w - w = 38, 4*w + 58 = 2*o. Solve 0*u - s = 4*u + 22, 0 = -5*u + 2*s - o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -4*z**5\/45 - 11*z**4\/9 + 4*z**3 + 54*z**2 - 264*z + 5043. Determine k so that m(k) = 0.\nAnswer: -11, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/9, 46, 0, -18, 1.4, -2\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2 = 33. Suppose 0 = v*b - 4 - 16. Let d(j) = j**3 + 5*j**2 - 5*j - 5. Let r(q) = -q**3 - 4*q**2 + 4*q + 4. What is b*d(z) + 5*r(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.488 times -0.1\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028*a - 1166*a = -3211260. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 352. Let s(l) = l**2 + 2*l + 2822. Determine s(r(x)).\nAnswer: 4*x**2 - 1404*x + 126022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6216 = -4*q - n - 3*n, 0 = 3*q - n + 4662. Let w be (q\/(-24))\/7 + 6\/8. Solve -5*u - 3*r = w, -5*u + 3 = -2*r + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -1\/10*q**6 - 2\/3*q**3 + 0*q**2 + 0*q**4 + 0 - 2*q + 0*q**5. Find the second derivative of a(y) wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4172 = 5*y - 11*y + 2*y. Which is greater: 1039 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 374*s**2 - 81004282*s - 866356.\nAnswer: 2*(s - 216589)*(187*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 - 503*w\/5 + 29212\/5.\nAnswer: (w - 436)*(w - 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. Let q = s - 1. Solve w + 5 = -4*b - 19, q = -3*w - 2*b - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914\/7415 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -1\/5 (c) -5\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 1. Let d(a) = -5*a**2 + 8*a - 2. Let g(i) = -d(i) + 4*k(i). Let p be g(6). Let n = p + 12. What is the smallest common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c (base 14) in base 6?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 1. Let d(w) = 39*w + 26. Calculate -d(x) - 26*y(x).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8 and -45\/30611.\nAnswer: 244888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 705 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*18)\/2)\/(825\/26620*44)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809245.\nAnswer: 5, 233, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzeezeeeezze. What is prob of picking 2 z?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3494*z - 961. Is l(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/24)\/5*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275378997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7469 divided by 619.\nAnswer: 7469\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 22 = -4*o - 8, 0 = 5*s - 3*o - 50. Let h(y) = -5*y**2 - 2*y - 1. Let g be h(-1). Let q be 18\/g*s\/(-15). Let d(x) = 2*x - 1. Determine d(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13699639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21232 + -21232. Solve -2*a - 8 = -6*a - 4*x, z = 5*a - 3*x + 38 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1666193\/3320 - 4015\/8. Let p = 2558\/7055 + o. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4114)\/(-396))\/187)\/((-5)\/(-8)*-2).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)\/((j\/(j\/(j**(3\/4)\/j)))\/j))**(-2\/139)*(j**(-1)*j**(-9)\/j)**(-24) assuming j is positive.\nAnswer: j**(73391\/278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*12\/30)\/(4\/(-164))*(-134)\/(-134).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100 - -11110?\nAnswer: -100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let a(j) = 1021635*j**2. Determine n(a(y)).\nAnswer: -2043270*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (5 + 7 - 24) + 3 + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 27*r**2 - 49*r + 30. Let g be (29\/((-957)\/308))\/(1\/3). List the prime factors of m(g).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let o = -7 - -10. Let y be q(o). Suppose 0 = 3*b - 15, 0*b = -y*r - 4*b + 32. Solve r*m = m + 3*n + 9, -n = -2*m + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -204.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 49*u - 4. Let i be z(1). Let h be (-9)\/12*(-5)\/(i\/(-6)). What is the nearest to 2\/3 in -6, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 1. Let m(c) = -2*c - 1. Let t(k) = -6*m(k) - 5*x(k). What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37069932 divided by -3089161.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 17) + 103 + (-13 - 64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + 177.1. Let q = 178.000024 - w. Round q to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97230747*o**4\/2 + 1654152387*o**3\/2 - 788300268*o**2 + 9870552*o - 31104 = 0 for o.\nAnswer: 36\/5693, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*s**3 - 491*s**2 + 1 wrt s?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2, 14.\nAnswer: -5, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 150. Let q be f(38). Let w(h) = -143*h**q + 7124*h - 7124*h. Let i(g) = 2*g. Give i(w(p)).\nAnswer: -286*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/(y*y\/y**32))*y*y**(1\/6)*y**16\/(y*y*(y**(9\/8)\/y)\/y*y*y) assuming y is positive.\nAnswer: y**(-359\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/((-12)\/144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 5994314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 519*m + m**3 + m - 216*m**2 - 64*m**2 + 4*m**3 - 245*m**2.\nAnswer: 5*m*(m - 104)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s**2. Let a(w) = -71466*w. Determine i(a(k)).\nAnswer: -40859113248*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f. Let b(p) = -26*p - 21*p - 2*p + 15*p. What is d(b(h))?\nAnswer: -204*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2. Let g(w) = 284*w**2 + w + 6. Give g(f(b)).\nAnswer: 7100*b**4 + 5*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 - 1580*t**4 - 36975*t**3 - 69190*t**2 - 33800*t = 0.\nAnswer: -20, -1, 0, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718*d + 125 = 25*x + 1721*d, 0 = 5*x - 2*d - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/14234 at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164283*k*q**3 + 16*k*q + 97212*q**3 - 112 wrt k.\nAnswer: -164283*q**3 + 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -395c2670 - -1?\nAnswer: -395c266c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4190438 rounded to the nearest 100000?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/3 (b) 13\/3 (c) 3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 12*c**4 + 0 + 8*c**4 - 2*c + 0*c**4 to h + d*c**2 + w*c + o*c**3 + r*c**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -41. Let y(d) = 7. Let m(j) = -1. Let k(q) = 6*m(q) + y(q). Let p(u) = u**2 - 5*u - 1. Let c(a) = 4*k(a) + p(a). Give c(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 8. Let x(s) = 3*s + 5 + 7*s - s**2 - 1 + d. Let n be x(11). Solve -w - 14 = i - 5, n = w + 3*i + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 2*m**2 + 0*m**2)*(0*m + 0*m - m)*(2*m - 4*m + m) + (4*m**2 - m**2 - 4*m**2)*(-3*m**2 + m**2 + m**2).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 17\/27, -1, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25645?\nAnswer: 5, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-20) + (7931\/(-1430) - -6). What is the closest to 1 in 3, 14\/11, 0, l?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3 - 99714*w**2 + 299156*w - 199440 = 0.\nAnswer: -49860, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/4*(-325)\/(-39)*332\/(-415)?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/17*r**2 - 16\/17*r + 14\/17 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -86*d + 196. Let v(k) = 4*k + 1 + 1 - 6*k. Give v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:58 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 2094607 = -2216653. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d + 112627797 = 112634865 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 2*i - 24646, 0 = -u - 5*i + 6184. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**4*p**2 - 14*b**4*p + b*p**2 - 182*b wrt b.\nAnswer: -48*b**2*p**2 - 168*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21656\/30 - (1158\/90 - 13). Calculate the highest common factor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46443838127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -23350*a. Let g(r) = -453*r**2. Calculate n(g(v)).\nAnswer: 10577550*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*z**5 - 444*z**2 + 444*z**2 + (z + z**3 - z)*(0*z + 0*z - 2*z**2).\nAnswer: 73*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 2:44 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 17. Let i be w(-5). Let d = i - -26. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 3 + -5 - -1) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**3\/9 + h**2\/12 - h\/2 + 4. Factor r(a).\nAnswer: (a + 1)*(4*a - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 245.9 - 246. What is the third biggest value in 4\/5, i, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/2 - 5085\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from igllviiilxbiilb?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2945052?\nAnswer: 2, 3, 11, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/((-60918)\/(-1563562))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 + 3*c - 4. Let n = -19 + 15. Let w be u(n). Let k(j) = -j + 3. What is the least common multiple of 4 and k(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352103993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70793, -149409, -228027, -306647, -385269?\nAnswer: -463893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 67 - 48*i - 158.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - 2 + 2)*(-4 + 0 + 2)*(7 + 17 + 11) - 34 + 4*i + 34)*(-93 + 93 - 5*i).\nAnswer: 330*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2042418546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -115, -432, -971, -1732, -2715, -3920?\n\"Answer: -111*c**2 + 16*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 13251 = 87511. Let b = -229762 - x. Round b to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Suppose 9 = -h*w + 1. Suppose -4*u = 2*t + 18, -3*u = -t - t + 3. Is t at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 + 10*t**2 - 35*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(12)\/sqrt(16) - (sqrt(363) + 0))**2.\nAnswer: 1323\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000717122937 to 5 dps.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + o + 1)*(-4536 - 159 + 2687)*(11 + 5*o - 11) to the form x*o + u*o**2 + p and give u.\nAnswer: -10040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -4 (c) -3 (d) -5.6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43918730.\nAnswer: 2, 5, 23, 257, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 + 3*q**2 - 3*q + 1. Let i be r(1). Let a(d) = -59*d - 4 - i*d - 78*d - 62*d. Is a(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5831 is divided by 2733.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 6 + 6)*(-15*h**2 - 7*h**2 + 21*h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3*g + 3)*(3 + 3 - 4) - 12*g + 4*g - 8*g + (2*g - 5*g + 4*g)*(0 + 0 - 1) as c*g + p and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1495.989616 + -1496. Let s = i + 0.016. What is s rounded to four decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.277 + 0.633. Let v = 0.09 + t. Let d = -4.04 + 0.04. Sort -2, d, v in descending order.\nAnswer: v, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 87 = -4*p. Solve 5*r = 2*o + 4*r - 1, 3*o - 3*r = p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-11) - (-3 - 0). Let c(i) = 0*i - 2*i**h - 2*i**2 + 0*i. Let m(q) = -3 + 3 - 2*q. Determine m(c(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5+2412\nAnswer: 2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 8. Let q(u) = -3. Give -3*g(z) + 12*q(z).\nAnswer: 6*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 112 = 308. Suppose -2*x - 4*a = 3*x + 144, -3*x - a - 92 = 0. Let y = x - j. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - f**4 + (4*f + 6*f - 2*f)*(0*f**3 + 20*f**3 + 0*f**3).\nAnswer: 159*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2216 - 77554\/35. Let h = q - -3\/7. Which is greater: h or -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 365 (c) -2883.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 2, 161, -2, 0 in descending order.\nAnswer: 161, 2, 0, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*x**2 - 1289*x**2 + 2207*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193 - -221. Solve 4*h - 21 = -m, 3*m + h - k = -4*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/58 and 3\/730.\nAnswer: 21170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:14 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1791084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 4. Suppose 0*z - 5*z - 20 = -5*k, -5*k - z + 32 = 0. What is the tens digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32081693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10) + (10 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 9 + 43 + (-21 - 16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n - 39. What is z(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -282*b**3 - 241*b**2 + 8*b - 1404072.\nAnswer: -846*b**2 - 482*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -183536*d. Let a(b) = 25*b. What is a(z(k))?\nAnswer: -4588400*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228446*h**5 + 567764*h**2.\nAnswer: 13706760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/20900 and 115\/4004?\nAnswer: 1901900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -63.\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j**2 - 89*j**2 + 115*j**2 + 2*j**3 - 7*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-3 - 0) + 2). Sort 5, 4, 0, w.\nAnswer: w, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a - 1. Calculate b(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 + 20*x + 9. Let k be f(5). Let t = k + 45. Solve t*z + 4*y = 0, 3*y = -5 + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.80191 centuries to years.\nAnswer: 9080.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 - 4 = 0. Find the common denominator of (-34)\/(-20) + -2 + -2 and 4\/(-40)*165\/j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/15)\/(9\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - 2*c**2 + (1 - 3*c - 1)*(c + 0 + 0))*(3*c**2 + 0 + 0).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 29. Let k be (4*6\/16)\/(g\/8). Solve k*a = -2*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -31131621?\nAnswer: -31131635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (700\/240)\/(735\/(-140)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1872 divided by 208.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1135, -2130, -3127, -4126, -5127, -6130, -7135?\nAnswer: -8142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tkttltttt.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170.1 + 7.1. Let g = 163.2 + y. Sort 0, 0.01, 3, g.\nAnswer: 0, 0.01, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 891473 + -891473.0600009. Let w = c - -0.06. What is w rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*g - 20, -5*v + 5 - 4 = -48*g + 49*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243365280 by -15440.\nAnswer: -15762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 14 = 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 - 2*z**2 + 6*z**2 + (-6*z + z + 2*z)*(2 + 2*z - 2) - 3*z**2 + 2*z**2 + 0*z**2)*(-3 + 3 + 5*z) to n*z + q*z**2 + w*z**3 + t and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. What is the common denominator of 69*(w\/48)\/1 and -87\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 215*t + 1084. Calculate o(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-10))\/((-6)\/15). Let y = 12.5 - 10. Let p = y - 3. Which is the second smallest value? (a) g (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**4\/8 + 214*f**3\/3 - 431*f**2\/4 - 429*f - 989. Factor a(t).\nAnswer: (t - 2)*(t + 1)*(t + 429)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -754.7.\nAnswer: -3018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 901770 and 1350?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-41)\/((-1148)\/(-1288))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -643*k**5\/20 + 5*k**4 - 231*k. Find the third derivative of f(j) wrt j.\nAnswer: -3858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 0.1. Let x = 3.6 - 5.37. Let u = x + p. Round u to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (5*sqrt(637)*-2 + sqrt(637) + sqrt(637)))**2 - ((sqrt(637) - (1*sqrt(637) + sqrt(637))) + 4)**2)*5 + 1 + -3.\nAnswer: 280*sqrt(13) + 254718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 9982.\nAnswer: 9982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48 + -0.52. What is the smallest value in o, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 + 290 + 18*b**2 - 18*b**2 + 31*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2488252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72 - -104) + -178)*210\/(-4).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from risxlsd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182237 is divided by 4903.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 8:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9396, 18795, 28194, 37593, 46992, 56391?\n\"Answer: 9399*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4*t - t)*(-3*t**2 + 84059*t**3 + 6*t + t - 84057*t**3).\nAnswer: 8*t**4 - 12*t**3 + 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 42 = 4*t. Suppose j - 11 = -t. Solve 0*m + 2*m + 2*x = -2, 2*x = -j*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 1, h: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1, -2.9, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14859 divided by 39\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4, d: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 396.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0. Let n = 59.58 - 59.28. What is the biggest value in k, -0.1, -3\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 20843*q**2 + 434430649*q.\nAnswer: q*(q + 41686)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50887 - -50889. Let m = 4 - 4.3. Which is the fourth smallest value? (a) 0.3 (b) m (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + 17 + 63 + -41.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + x**3)*(1715*x - 1365*x + 1533*x - 4).\nAnswer: 1883*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 4. Let f be d(-2). Let g(v) = v**3 - 5*v**2 + v - 5. Let h be g(5). Suppose f*k - 7 - 3 = h. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, 1, -13, -1\/6 in ascending order.\nAnswer: -13, -7, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.609977841274 less than -267?\nAnswer: -266.390022158726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/((j\/j**0*j)\/j))**39\/(j\/(j**(2\/5)\/j)*j\/(j\/j**(-7))))\/(j\/(((j\/j**(1\/11))\/j)\/j)*j\/((j*j**(-2\/3))\/j)*(j**(-1))**(2\/45)) assuming j is positive.\nAnswer: j**(7889\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccrrcccccrrc. Give prob of picking 2 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -3 + 2 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1749610 and -71\/17146178?\nAnswer: 85730890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/4 - 23*s**4\/4 + s**3 + 23*s**2 = 0.\nAnswer: -23, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15547?\nAnswer: 7, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, 5, 82, -1.44, 1.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 9. Let d be u(-2). Suppose 0 = 3*g - 4*g + 5*n + 19, 0 = g - n - 3. Let y be 15\/(-18)*g\/5. Which is the closest to -1? (a) -6\/5 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/120 + t**3\/6 + t. Let w(r) be the second derivative of c(r). Let l(q) = 4*q. Calculate w(l(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-333)\/(-74) - 4) + (-1)\/((-6)\/273)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 1350, 3, -4\/9, 2 in increasing order.\nAnswer: -4, -4\/9, 0.4, 2, 3, 1350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2456*i**2*p**2 - 93*i**2 - 68460*i*p**2 + 3*i + 2*p**2 wrt i.\nAnswer: 4912*p**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 7*c = -32 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4403 (base 5) to base 8\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2 (c) -9.63 (d) 5 (e) -2\/965\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 - 178*h**3\/3 - 940*h**2\/3.\nAnswer: 2*h**2*(h - 94)*(h + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14858607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.7, 3\/5, 0.84?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(-13*x + 17*x + 1 - 2).\nAnswer: 8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h**2 - 9*h - 9. Let u(o) = 8*o**2 + 5*o + 5. Calculate 5*u(i) + 3*z(i).\nAnswer: -5*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -22*q**3 - 1398*q**2 + 159*q - 2. Let o(i) = 15*i**3 + 931*i**2 - 106*i. Let x(h) = -7*o(h) - 5*v(h). What is the second derivative of x(p) wrt p?\nAnswer: 30*p + 946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((0 + -5)\/(-10))\/((-6)\/(-4)). Let 0 - 1\/3*w + 0*w**2 - c*w**5 + 2\/3*w**3 + 0*w**4 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -3 + (2 - -1). Let w = 7 - j. Suppose 0*a + 2*a - w*q = 5, a + 3*q - 19 = 0. Calculate the smallest common multiple of 22 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -526765 (base 10) to base 4.\nAnswer: -2000212231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5281075)\/6100)\/(1\/(-4)*1).\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/324*2\/(-8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1794\/7475*((-1225)\/588)\/(5\/(-8))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 12, 4*t + 108 = 5*j. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/2 - 19429455*y**2 - 75500744319405*y\/2.\nAnswer: -5*y*(y + 3885891)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525 - -545. Solve 0 = -38*a + 33*a + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 0*m)*(-3*m**3 - 2*m**3 + 4*m**3) + (-3 + 3 - 1)*(4 - 5*m**4 + 10*m**4 - 2*m**4).\nAnswer: -5*m**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1212 or -1210?\nAnswer: -1212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54531405*v**3 - 55780218 wrt v?\nAnswer: 163594215*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1\/5 (b) 4 (c) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6701 divided by 4\nAnswer: 6701\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 563524.1 rounded to the nearest ten thousand?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 4*g, g - 5*o = 2*g - 21. Let h(n) = -3*n**2 + 2*n - 1. Let y be h(g). Let l be (0 - -1)\/((y - -11)\/18). Solve w = l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:20 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31871a (base 13) to base 2.\nAnswer: 100011011100000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Suppose q = -4*d + 2*d - 12. Let b(z) = z**3 + 5*z**2 - 8*z - 1. What is the units digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*j - 10, -7 - 8 = -5*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -83. Solve o*j - 6 = 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*v**4 + 36*v**4 - 284*v**4)*(3 - 5 + 0) + (3 - 3 - 2*v**2)*(5*v - 5*v + 2*v**2).\nAnswer: 354*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 21. Let r be (-6)\/2*1 + j. Solve -3*g - 9 = r, g - 4 = -o - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-50))\/((-132)\/20 + 7). Which is the closest to -4\/11? (a) t (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 22 + 38 - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 - 7*f**3\/6 + 7*f**2\/2 - f. Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:28 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose c = -a*c + 3. Let g = c - 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 3*n - n)*(-1 - 4 + 3)*(-29*n + 14*n - 7*n).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w - 2*w)*((-2*w + 0*w + 0*w)*(-1 + 0 + 2) - w + 3*w - w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4676722, -4676658, -4676594?\n\"Answer: 64*f - 4676786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a - a)*(a - a + 2*a + 2*a - 2*a + a + (a + a - a)*(1 - 1 + 1) + 3*a - 3*a + a + 2 + 3 - 3 + 2*a) - 6*a**2 + 3*a**2 + a**2.\nAnswer: -37*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**13*p**(-1\/2)\/p*p*p*p**(-1)*p**3 assuming p is positive.\nAnswer: p**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/114019 or 1?\nAnswer: -2\/114019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954866239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5823, 6240, 6657, 7074?\nAnswer: 7491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-1 + 1 + -8 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*z + 88, 0*z - 2*b = 3*z - 143. Let d = z - -69. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269 divided by 660.\nAnswer: 269\/660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6091162, -12182321, -18273478, -24364633?\n\"Answer: p**2 - 6091162*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864520 is divided by 2697?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 5\/14, 2\/19, 3, -2\/23.\nAnswer: -22, -2, -2\/23, 2\/19, 5\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 76*v - 2. Let u be b(2). Suppose -6*q = 2*j - 174, 0*j = -j + 4*q + 66. Let o = u - j. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11254329 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3745.744+-63.3\nAnswer: -3809.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 2179111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - 1*sqrt(98) - sqrt(98))*-6 + 3 + sqrt(200) + 1 + (sqrt(200) + 1 + sqrt(200) + 5 - -4*(sqrt(200) - (sqrt(200) + sqrt(200) + 1))))**2.\nAnswer: 384*sqrt(2) + 2084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*i - 26 = 0, -315*i = t - 314*i + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + 2 + -5) - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -179994, -5, -1, 3, 4 in decreasing order.\nAnswer: 4, 3, -1, -5, -179994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 + 4605*n\/7 - 8528.\nAnswer: -(n - 4592)*(n - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - d + 11 + 12, -16 = -2*r + 3*d. Let a = 0.9 - 0.9. What is the second biggest value in r, 6, a, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 62. Let d = 0 - -1. Let i = -0.2 + -0.1. Sort i, d, l.\nAnswer: l, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 49412874\nAnswer: -1\/24706437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1714617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227966.6409 + -227976. Round z to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -463 + 1593. Round q to the nearest ten.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0337422 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1297835349 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Let i(j) be the first derivative of -j**4\/3 + 16*j**3\/9 - 2*j**2 - 283. Find t, given that i(t) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4614 + -2377. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 258*v - 508. Let w be j(2). Which is the third smallest value? (a) 1\/3 (b) 4 (c) 1\/4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**2\/2 - 13*u + 1. Let g be f(-16). Let h = g - 4. What is the third smallest value in 2\/21, -4, h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 0 - 3, 3*u + 1242415*c - 1242413*c = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:04 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 8, 2*s - 20 = -3*r. Let n(u) = -u**2 + 7*u - 10. Let c be n(r). Solve 0 = -c*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.058672086 + -17.058681136. Let w = -17 - s. What is w rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452512 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n. Let i(u) = -u - 9. Let c(k) = 2. Let g(t) = -9*c(t) - 2*i(t). What is g(s(o))?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 136\/14 - 18\/(-63). Suppose t = 2*l - 12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18.02, 3\/5, -17.4?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/(5192\/(-66))*51*5\/45?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m - 5. Determine l(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2 - 9\/(-3)). Suppose -1194 = -3*d + 3*b, j = -3*b - 6 - 0. Let t(l) = -237*l - 201. Let p be t(-1). What is the highest common divisor of d and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8 = 5*x. Let p be (-56)\/(-70)*(-25)\/10. Put 3, x, -4, p in ascending order.\nAnswer: -4, p, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 4*k + 5. Let j(g) = 5*g**2 + 4*g - 5. Let t be (-3)\/(-18) + 3\/(-18) + 4. Let l(a) = t*y(a) + 3*j(a). Let q be l(-5). Solve q*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/(t*(t*t**(-10))\/t*t)*((t\/(t\/(t**(-2\/9)*t)*t))\/t)**(-15) assuming t is positive.\nAnswer: t**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 472, 471, 470, 469, 468?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6081 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Suppose z*r + 18 = -72. Is 13 a factor of (-4 - r\/5)*-90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 11*o - 13*o. Let r(i) = -45 + 18 - o - 16*i - 6. Is r(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16624139*k**5 - 2*k**4 - k**3 + 2058831*k**2 + 2*k?\nAnswer: 997448340*k**2 - 48*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48595440.\nAnswer: 2, 3, 5, 202481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 - 268*s\/9 + 8978\/9.\nAnswer: 2*(s - 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623060?\nAnswer: 2, 5, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13037.\nAnswer: 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 6*i**2 - 6*i - 2. Let z be l(-5). Suppose 0 = 3*v - 2*r - r - 3, -2*v = -z*r - 1. Suppose -v*s - 3*s = -35. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000111011111101100 (base 2) to base 15\nAnswer: 1121a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqxwqxqwqq. Give prob of picking 2 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - t - 78, c - 2*t + 0 = 21. Calculate the highest common divisor of c and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1268922455 to the nearest integer?\nAnswer: 35622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + p + 1. Let z be i(0). Let a be (2 + (-97 - z))*4375. What is a rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1)*(3*s**2 - 5*s**2 + 4*s**2)*(-6 - 5 + 3 + (-5 + 5 + 4)*(-9 - 3 + 7)) + 0*s**2 - 3*s**2 + 2*s**2 as o*s + f*s**2 + v and give f.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(5)*-3)\/(-1*sqrt(14)\/sqrt(2)) - ((sqrt(32) - 1*sqrt(32))*-1 - (sqrt(3200) + 1)))**2.\nAnswer: 86*sqrt(2) + 3699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 178*q + 2518. Determine w(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 - 79099650*r**3*u**2*w + 688056*r**2*w + 14*u**2*w wrt r.\nAnswer: 48*r - 474597900*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10363572 divided by -383836?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-6)\/(-28))*204\/238. What is the third derivative of -189*o + 372*o - 209*o + w*o**2 + 110*o**4 - 2*o**2 wrt o?\nAnswer: 2640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16\/l**(-2\/3))\/(l**36\/(l\/(l**(-27\/4)*l))) assuming l is positive.\nAnswer: l**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2466322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -x - 4*f, -3*f + 95 = 5*x - 8*f. Let m = -22 + x. Let l be 0\/(5 - 2 - m). Solve l = -3*z + z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + 1*sqrt(6)*2)\/(sqrt(2) + -2*sqrt(2)*-3).\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wqvdbdowboobdob?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 387432.\nAnswer: 15497280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/144768 and -113\/6032.\nAnswer: 144768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7112248 micrograms in kilograms?\nAnswer: 0.0000000007112248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99))**2) + -1 + -5.\nAnswer: -105 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 + 4 - 604*m - 2 as l + r*m and give r.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 3*c**3 - c**3)*(133 - 326 + 137) + (3 - 2*c - 3 + (0*c - 3*c + 4*c)*(-5 + 4 + 3) + 0*c + 5*c - 3*c)*(-c**2 + 3*c**2 + c**2).\nAnswer: 118*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**5 - 11*c**5 - 7*c**5 + (-2*c**2 - c**3 + 2*c**2)*(0 + 0 - 2*c**2) + c**5 - 3*c**2 + 3*c**2.\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 8 + 0 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 3 (c) -0.3 (d) 294 (e) -66 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o + 30*o**4 + 27*o**2 - 43*o**2 - 55*o**3 + 36*o**2.\nAnswer: 5*o*(o - 1)**2*(6*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2942 and 0.5.\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:08 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*n + 3*n - 15, 0 = 5*o + n + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**2 - 942*y**5 + 14 + 246*y**5 + 10234*y**4 - 10234*y**4 wrt y.\nAnswer: -41760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + 3 - (8 - (8 - 5)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k**2 - 38*k**2 + 25*k**2)*(3*k + 2 - 2 - 2*k + k - k + 0*k - 3*k + k + (0*k + 2*k + 0*k)*(-2 - 3 + 3) - k + 0 + 0).\nAnswer: 294*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -2\/19, -22?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47644, 95333, 143020, 190705, 238388, 286069?\nAnswer: 333748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20*t**2 - 13*t + 88. Is w(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221.021885 + 0.083.\nAnswer: 221.104885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 39 = -4*n. Suppose -4*v + 7 = -9. What is the remainder when n is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26750807.\nAnswer: 26750807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5743 - 11495 + 5752 - q - 44*q.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5 - 24*x**4 + 98*x**3 - 180*x**2 + 152*x - 48 = 0?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by 10\nAnswer: 399\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 - 10 + 10 + x**2. Let g(s) = 3*s**2. Calculate u(g(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3083916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*w = 52259 - 59711 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvkkkvvv. What is prob of picking 2 k and 2 v?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + i**4 - i**5 + (0*i + 4*i - 6*i)*(i - i**4 - i) - 4*i**5 + 4*i**5 - i**5 + 0*i**5 - 4*i**5 + 2*i**5 + 1538*i - 1537*i - 593*i**5 - 167*i**5.\nAnswer: -762*i**5 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145425.\nAnswer: 3, 5, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 5 - 3 + 4 + 3. Let h be u(4). Suppose -5 = h*g - 35. What is the remainder when 37 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:50 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*k + 56*k - 24*k)*(-7 + 10 + 8)*(2 - 4 - 1) in the form h + z*k and give z.\nAnswer: -2079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23559 is divided by 7840?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 47*z**2 - 9*z - 14. Let i(m) = 2*m**3 + 46*m**2 + 8*m + 12. Give -6*a(g) - 7*i(g).\nAnswer: -2*g**3 - 40*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:48 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 10426128.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2 + 3.57?\nAnswer: 10.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/54 and 87\/68?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-9))\/((-1)\/3). List the prime factors of (4 + 11)\/((-6)\/j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let q = 12581 + -12577. Let m(y) be the third derivative of 0 + 13*y**2 + 0*y + 1\/20*y**5 + 0*y**3 + 0*y**q. Give s(m(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + 6*u + (-2*u - 14 + 14)*(7 - 6 + 6))*(-5*u + 3*u + u - 1).\nAnswer: 12*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*r + 9, 5*g - 11 + 1 = 5*r. Let s = g + 11. Suppose b - 12 = s. What is the lowest common multiple of 18 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100645 at least 100646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*p + 13 - 12 + 44*p)*(p + 2*p - 6*p).\nAnswer: 150*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwjjwjwwltwjwwwwww. What is prob of sequence ltj?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1 (c) 3\/4 (d) -1163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**3 + 5*u**2 + 19*u + 5. Let c(l) = l**3 - l**2 - l - 1. Determine 5*c(g) + x(g).\nAnswer: -g**3 + 14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - -14) + (-11 - -7 - 21\/(-3)). Sort 2, 26, i, -2.\nAnswer: -2, 2, i, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1. Let h(c) = 8*c + 2. Determine -h(o) + 5*w(o).\nAnswer: -8*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474859 - -925794. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 3, p: 1, y: 2, i: 1, g: 10}. What is prob of picking 2 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 338353?\nAnswer: -338355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 43*o - 18. Let m be l(5). Let u = m - 68. Calculate the greatest common divisor of 86 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/(21\/(-56)*-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 3 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 75*i**2 + 19*i**2.\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -8.1. Let g = u - 1. Which is the third smallest value? (a) -1\/5 (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a - 12. Let t(l) = -6*l + 11*l - 6*l - 1. What is -2*q(r) + 22*t(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94159, 91824, 89489, 87154, 84819?\nAnswer: 82484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fft when three letters picked without replacement from ffqfqtfqqqtq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2016 + 2014.902. What is the third biggest value in 0.5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200129, -2400250, -3600371, -4800492?\nAnswer: -6000613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from hhxhxxf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g**2 + 3650*g - 1040 = 0. What is g?\nAnswer: 2\/7, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3907, 6710, 9505, 12292?\n\"Answer: -4*j**2 + 2815*j + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164193071 and 23456153.\nAnswer: 164193071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 748303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/10 - 26\/(-3).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51779447639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 8*j + 27 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c**3 - 2*c**2. Let q(b) = b**3 - b**2. What is m(s) - 2*q(s)?\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -67028158 divided by 1\nAnswer: -67028158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.627 + -0.327. Let k = g - 22. Round k to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3783801 = 70*t - 297*t + 12895354. What are the prime factors of t?\nAnswer: 11, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1 - 19*t + 9 + 21*t. Calculate the smallest common multiple of i(5) and 7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*l + 235*l = 3*h + 30, 0 = -5*l - h - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*u = -5*p + 12, -4*u - 16 = 2*p. Solve 4*q = 24 - p for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 3*h**2 + 2*h + 2. Let c(d) = -d**2 - 7*d - 12. Let y be c(-5). Let o(z) = 2*z**3 + 4*z**2 - 2*z - 3. What is y*o(r) - 3*j(r)?\nAnswer: 2*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - j**3 - j + 1421*j**2 - 1419*j**2 - 3 - 38*j**4 as r*j + g*j**4 + s*j**2 + l*j**3 + c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r)**(1\/31)\/(r**(-2\/37)\/(r\/r**(-8\/7))) assuming r is positive.\nAnswer: r**(87418\/40145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3922277 and 0.01.\nAnswer: 0.003922277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4751 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 - -3?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 3. Let p(d) = 2*d - 1. Let q = 325 - 295. Let n = 4 + 21. Let h = n - q. What is h*p(k) - 2*r(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o + 2*c = 52, -2*o - 3*c + 34 = 0. Let s = -61\/7 - -9. Sort s, 2\/11, o in descending order.\nAnswer: o, s, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -100. Let y = z + -48. Suppose 2*w + 6 = -2*x, -2*x = -w - x + 3. Solve -j - 4*p + 0*p + 4 = w, y = -4*j - p + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -40*g**2 - 10*g - 6. Let s(b) = -41*b**2 - 8*b - 5. Calculate 5*r(x) - 6*s(x).\nAnswer: 46*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 - i**5\/60 + i**4\/24 + 2*i**3\/3 - i**2. Suppose 3*s = -k - 2, -k = 3*s + 3*k + 8. List the prime factors of g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 + 15*f**3 - 54*f**3 + 18*f**3 + 16*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1643, 3429, 5211, 6989?\nAnswer: 8763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025.74 litres in millilitres?\nAnswer: 4025740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + c + 1. Let d be m(-1). Let u(o) = -o + 13. Let p be u(d). Suppose 32 = t + 5*x, -6*x + 3*x = -p*t + 104. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66678779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i - 26 = d, 0 = 3*i + 15. Let l be d*3 - 12\/(-4). Differentiate 6*t**3 - 3*t**3 + l + 0 - 2 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 274*r**2 - 231*r - 6228. What is o(138)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-3))\/(-4)*3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o**2 - o + 1. Suppose -23*q + 24*q + 2*x - 17 = 0, q + 8 = 3*x. Suppose 39 = -q*h + 46. Calculate u(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4095.9 - -4088. What is the closest to 0.1 in -4, 2, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*s - 50*s - 22*s**3 + (-3 - 2*s + 3)*(s - s + 2*s**2) - 6*s**3 + 0*s**3 + 4*s**3 + (6 - 6 + 6*s)*(-s**2 - 2 + 2).\nAnswer: -34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 - -326.1. Let w = 33 - k. Let i = w - -4. Is i less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.331 - -0.731. What is the closest to 1 in 7\/6, v, -3, -0.3?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssr when four letters picked without replacement from {r: 2, p: 3, h: 1, q: 1, m: 1, s: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2188340 divided by 22330\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6063144 - 8.8968\nAnswer: 6063135.1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22450 - -61450. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 34734126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 + 2*q. Let z(d) = 20*d**2 - 12*d - 90. Give 5*t(b) + z(b).\nAnswer: -5*b**2 - 2*b - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 - q**4\/24 - 4*q**3\/3 + 50*q**2. Give x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -19*w - 27*w - 25*w. Solve w = -35*t + 57*t + 88 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -6*sqrt(102)*-2)\/(2*sqrt(150))*-4)**2.\nAnswer: 8228\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - j = 6511, -4219 + 974 = 2*o - 3*j. Let a = o - -19511\/12. Calculate the common denominator of a and -1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19908 is divided by 6634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 252093239 and -8.\nAnswer: 252093231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.05 and -3\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 46*m - 26. Let u be s(22). Suppose u*f = 14*f. Sort f, -3, 1.\nAnswer: -3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08543 - -2.08543. Which is the third smallest value? (a) o (b) -0.1 (c) -2 (d) 1 (e) -0.082\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:33 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 954 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.75985517 and -638.\nAnswer: -638.75985517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -6. Suppose -y = -4*l + 3, -l + t*l - 20 = 0. Let w = 21 - y. Sort w, 2\/11, 0 in ascending order.\nAnswer: 0, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1044351 - -12432?\nAnswer: -1031515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 187*p + 264 - 423 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3 - 2 - ((6 - 1) + -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1914*p**2 - 8*p. Let l(c) = 3827*c**2 - 16*c. Let u(g) = 9*f(g) - 4*l(g). Let w be u(6). What is w rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.2904.\nAnswer: -0.8712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16091.93 rounded to the nearest one hundred?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -17659 smaller than -141277\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 119.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143678981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8854262928.\nAnswer: 2, 3, 7, 325333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 723.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 5.4. Let n = 14 + m. Round n to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -4*x**3\/3 - 718*x**2 - 1432*x + 983. Factor w(j).\nAnswer: -4*(j + 1)*(j + 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6380, -25366, -56996, -101270, -158188, -227750, -309956?\nAnswer: -404806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 2*d**3 + d**3 + 16*d - 16*d + 3*d**3 + (-3*d + 3*d - 2*d**3)*(-3 - 2 + 2).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-4 - 3*a + 4)*(-2 + 2 + 2).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1664.16897 plus 0.2?\nAnswer: -1663.96897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 77760 + 77826 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2585 by 4.\nAnswer: 2585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1870 - -13089\/7. Which is the smallest value? (a) d (b) 3\/32 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*l**5 - 4)*(4 + 12 - 2) + (0 + l**3 + 0)*(l - 4*l**2 - l).\nAnswer: -32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*n**3*r - 18*n**2*r + 21578*n**2 + 8*n*r - 11*n - 2*r - 293204 wrt n.\nAnswer: -222*n*r - 36*r + 43156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t - 46. Let w(d) = 48*d - 137. Let x(o) = 17*p(o) - 6*w(o). Is 15 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -23 + (-4 - 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*u**2 + 3920\/3*u.\nAnswer: 2*u*(u + 1960)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 46 + -41 + (17 - -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.020032 and 0.\nAnswer: -0.020032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6*(-3)\/36). What is the common denominator of 39\/12 - 7 - (1 - t) and 50\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/6*4\/6. Suppose -3*c + 0*c = 3*v - 60, 2*v = 0. Calculate the highest common divisor of c and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15704 - 15724.022. Let u = -0.022 - c. Suppose -3*h = -2*q + 3, q + 18 = -2*h - 3*q. Is u <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 24. Let u be 0\/((0 - 2)\/j). Let y(g) = -3*g + 23. List the prime factors of y(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 17\/279, -1, 3, 0.5, -0.1?\nAnswer: 17\/279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*v = -163*v + 128. Let i(z) = -2*z - 5. Let m(s) = 10*s + 24. Calculate v*i(r) - 3*m(r).\nAnswer: 2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 11*z**2 - 434*z - 5625. Calculate c(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -631744 + 928665. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 1. Let w(d) = -2*d + 1. Suppose c + 85 = -5*j, 4*c + 3*j = -2*j - 385. Let n = c - -101. Determine n*w(f) + 2*a(f).\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 429093226.777710021 - 429093227. Let a = 15.222291929 + d. Let x = a + -15. What is x rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = 24*m - 6. Suppose -g - s + 156 = 0, s - 471 = -m*g - 3*s. Let t = g - 89. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2961 divided by -141.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597930593?\nAnswer: 13, 41, 149, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6748 = 807*o - 35155 + 1585 - 20791 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 21. Let c = 16 + g. Is -1*1574\/c*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 4*y + 42 = 0. Let h be y\/84*-4*(9 + -6). Let u = 0.097 + 0.003. Which is the closest to u? (a) -5 (b) h (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*x**3 + x**2 + 71*x**3 - 16*x + 6*x**2 - 20*x**4 + 9*x**2 + 8*x**5 + 4.\nAnswer: 4*(x - 1)**3*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263836482 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4643877382 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2 + 2285*o - 4630.\nAnswer: 5*(o - 2)*(3*o + 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9871*h**2*w - 25*h**2 + 109480*w wrt h.\nAnswer: 19742*h*w - 50*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 7*x**5\/15 + x**3\/6 - 13334*x**2 + 2*x. Let s(j) = -4*j**2 + 1 - 1 + 2*j**2. Give t(s(y)).\nAnswer: 112*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = -18. Suppose -23*n + 14*n = -4*n - 15. Solve -d*l = -l + 25, n*h = 3*l + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -61*d. Suppose -z + 5 + 0 = 0. Suppose -w = -4*m + 89, z*m + 31 - 111 = -5*w. Calculate the remainder when b(-1) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14364?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 - -219. Let a = n + -67. Suppose -58 + 16 = -a*z. What is the highest common divisor of 42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/((m\/(m*m**(4\/11))*m)\/m))*m))\/m)**(-3\/4) assuming m is positive.\nAnswer: m**(21\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-315)\/(-378))\/((-1)\/6). Let b(g) = -57*g - 255. Let z be b(l). Solve -18*y + z = -12*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -331068 divided by 82767\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -22*d**3 - 30*d**2 + 76*d + 10. What is i(3)?\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - a**5 + 0*a**5 + (-3*a**2 + 19*a**2 + 0*a**2)*(-a**3 - 1 + 1).\nAnswer: -14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 34281 + 168. Let o = -511414\/15 + j. Let h = 51\/10 + o. Find the common denominator of 37\/12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 460*t**2 - 56*t - 222. What is the smallest common multiple of 21 and c(-4)?\nAnswer: 51534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v - 20 = -70*v. Suppose 3*o = -v*x - 873, -3*x + 960 + 233 = -4*o. Let g = -153 - o. List the prime factors of g.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.15 - -1.25. Which is smaller: d or 516?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.2 (c) 0.4 (d) -0.1 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/8, -772, -0.3, 0, -0.1, 17, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 324 + -5?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from lplrsslpvp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 2*t - 10, 3*j + t - 29 = 0. Suppose -3*o = j*d - 4*d - 10, 3*o = -5*d + 8. Calculate the lowest common multiple of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f + 5*p - 19 = 0, -2*p - 2 = -4*f. Let k(b) = 3*b - 4. Let s be k(f). Solve -s*j - 1 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*v = -38 - 0, -110 = 10*n - 5*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 divided by -10?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i. Let q(f) = -8*f. Suppose 5*d - 26 = -3*r, 5*d = 5*r + 131 - 81. Calculate d*q(s) - 5*p(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 + 3*i**3 - 33*i**2\/2 + 18*i. Let w be m(-21). Let f be w\/(-4)*24\/(-30). Solve -f = 5*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/8 - 3*u**3\/4 - 157*u**2\/8 - 51*u\/4 + 108 = 0.\nAnswer: -9, -3, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 59 + 3\/(3\/100).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**5 + 9*x**4 + 12*x**3 + x**2 - 8*x - 10. Let k(w) = 4*w**4 + 6*w**3 - 4*w - 4. Let p(d) = -5*k(d) + 2*q(d). Factor p(h).\nAnswer: 2*h*(h - 2)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-87))\/((-1380)\/180).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w + 12*w + 26850 = 86*w. What is the remainder when w is divided by 181?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9454086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 5 + 10 + 2*x.\nAnswer: 2*x + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79640?\nAnswer: 2, 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144796, 144807, 144818, 144835, 144864, 144911?\nAnswer: 144982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*j + 2224*j - 887*j - 889*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4.02 * -169\nAnswer: -679.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 320400?\nAnswer: 320404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-2)\/(-2))\/(17\/(-1870)*-110)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 12*k**2 - 11*k - 15. Suppose 2*z + 62 = 4*f + 7*z, 3*f = -5*z + 49. Give p(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-3\/4)\/q*q))**33*q*q*q**(-1\/4)*q\/q**14)**(1\/44))**(3\/8) assuming q is positive.\nAnswer: q**(279\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 189.612\nAnswer: 13.27284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 6197812*m\/5 + 4801609198418\/5.\nAnswer: 2*(m - 1549453)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 2336.\nAnswer: 30368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*0\/(-2))\/(-1). Let l be s*1\/(-3) + 1. Let q be (-12)\/7 + l + 1. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 150*r + 35. Let t(b) = 13*b + 3. Let w(d) = -35*t(d) + 3*v(d). Let y(l) = l - 2. Let f(a) = -7*a + 13. Let g(j) = 6*f(j) + 39*y(j). What is g(w(x))?\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*z + 219*z + 22 = -2*l, 5*z = -l - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:24 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 9. Let l be 3\/(-6)*6 + 7 - 4. What is f(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 261 + -242. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 8*s + 8. Let z = -789 - -865. What is the remainder when z is divided by x(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13768 is divided by 1376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 1. Let g be p(0). Solve 3*d = -2*d - 4*k - 19, d + g = 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stromrmtorrs. What is prob of sequence tmt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 1. Let b be s(-14). Let n = 42 + b. What are the prime factors of ((-1)\/(-2))\/(n\/(-324)) - 4?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -3\/5, -0.5.\nAnswer: -3\/5, -0.5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 38 + 1242*p + 904*p - 854*p.\nAnswer: 1292*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53202, -212805, -478810, -851217, -1330026, -1915237, -2606850?\nAnswer: -3404865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15648490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by -5.\nAnswer: -303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5 + 10*j**2 - 11*j**2 + 5. Let c(p) = -13*p**2 + 2*p - 4. Let w(r) = 53*r**2 - 9*r + 18. Let g(v) = -9*c(v) - 2*w(v). Give d(g(k)).\nAnswer: -121*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k - 3*k**2)*(0 + 4 + 9)*(-51 - k + 51).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173288752 by -6664952.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12487, 24962, 37435, 49906, 62375, 74842?\n\"Answer: -d**2 + 12478*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -0.2960119 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-10)*(7560\/1710)\/21. Factor 16\/5*a**2 + 42\/5*a + r*a**3 + 36\/5.\nAnswer: 2*(a + 2)*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-12))\/((-14 - -13)\/(-8)). Let j = -7 + 10. Which is the nearest to -2\/25? (a) w (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-554)\/((-30)\/18 - -1). Let f(d) = -3*d**2 + 831 - 13*d - x. Let l(h) = h**2. Determine l(f(a)).\nAnswer: 9*a**4 + 78*a**3 + 169*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 9*z = -250, 520*k - 516*k = z + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + i - 578, 2894 = -o + 6*o + 4*i. What are the prime factors of o?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1240, -2397, -3432, -4297, -4944, -5325, -5392, -5097?\n\"Answer: 8*c**3 + 13*c**2 - 1252*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 47 * -7.2\nAnswer: -338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-8)\/(-3))*537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.7. Let j be (-2)\/12 + 795\/(-90) + 6. Which is the nearest to j? (a) i (b) -4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19579000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(520\/850)*-2 + 18\/12.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:44 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12729674 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from {c: 7, i: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(10\/9)\/((((c**(9\/5)*c)\/c)\/c)\/c))\/(c\/(c*c*(c**12\/c)\/c))**(-10\/7))**(-3\/5) assuming c is positive.\nAnswer: c**(4537\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-10 - (0 + -3)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1ac83e (base 16) to base 15\nAnswer: 24a0d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322040 and 241530?\nAnswer: 966120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007367 is divided by 2326.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + n + 4 = 5*n, -2 = -3*m - 2*n. Let k be ((-3)\/9*m)\/(-4). Solve 4*a = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042992 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = 5*w, 0 = -4*c + 3*w - w - 2. Suppose b + c*b - 8 = 0. Suppose 11 = 5*j + 2*r, -b*j + 4*r = -4*j - 20. Solve 2 - 8 = -j*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 11*j + 5. Let l = -26 + 30. What is the units digit of a(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6501960 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 24 = 11*y. Calculate the lowest common multiple of 214 and y.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49156933, -98313864, -147470795, -196627726?\nAnswer: -245784657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -148.91 and 0.33707?\nAnswer: 149.24707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-35) + (-3)\/7. Solve t*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 33*z**2 - 168*z - 180 = 0 for z.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38560?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -2 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 160*u**2 + 177*u - 1788. What is the remainder when z(161) is divided by 151?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ittuuuttttiuti.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -5, 0, -3 in decreasing order.\nAnswer: 0, -3, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15874*n - 23689?\nAnswer: 15874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*n + 44684 = 788*n - 2146 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/192*(-4)\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (-200)\/(-12)*(7 - 4)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -62 - (-4 + (40 - -9))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 39*o**2 + 9*o - 24. Is d(18) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/4 + -109\/36. Let k = -2507.5 + 2508. Which is the second biggest value? (a) k (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7718 - 5987. List the prime factors of f.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451675505 to the power of 1\/3, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8103036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12542 = -3*l - 1982. Suppose -2*w + 13*w - l = 0. Calculate the highest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d**2 - 2*d**2 - 7 + 7. Let k(w) = 6*w. What is k(o(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14146691 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.02, -0.9.\nAnswer: -0.9, -0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 38*s + 5*s + 0*r - 4*r = -280, -3*s - 4*r + 16 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 2. Let u = -2 + 5. Let r(v) = -v - 2 + u - 2. Determine -3*b(d) + 8*r(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 562 - 532. Suppose -p = 40*x - 190. Solve 8 = x*s - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243565 and 560?\nAnswer: 3897040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c**3 - 156434*c**2 + 273778*c - 117336 = 0.\nAnswer: -19556, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40816, 81499, 122182, 162865?\nAnswer: 203548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.7 + 2.7. Which is the second biggest value? (a) u (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*q = 138*q + 30. Suppose 5*u = -3*y + q*u + 3469, 2*y - 2320 = -5*u. What are the prime factors of y?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/36)\/((-44)\/24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*r - 16 = 0, 3*h - 7*h + 4*r = -24. Suppose -h = 4*t - 16. Suppose t*m - 13*m = -3500000. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45228 * 493\nAnswer: 22297404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 2, v: 8}. What is prob of sequence vf?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388767 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3 + 2 + 2 - 5*w + 3*w. Let h be j(2). Which is the nearest to -0.1? (a) h (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/((s*(((s\/((s*s**(1\/3)\/s*s)\/s))\/s)\/s)\/s)\/s)))\/(s**(-2\/41)*s*s)*((s**10\/s)\/s)\/s**(10\/13) assuming s is positive.\nAnswer: s**(6310\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, f: 9}. What is prob of sequence ff?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1844629 and 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkn when four letters picked without replacement from {k: 4, x: 1, n: 1, u: 1, p: 6, b: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000466 rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -23, -7, -2, 4, -21 in decreasing order.\nAnswer: 4, -2, -3, -7, -9, -21, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*o**3 + o**2 - 12*o**3 - 173*o**3)*(-6*o - 10*o - 2*o).\nAnswer: 4554*o**4 - 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**3 - 3*d**2 + 2*d + 4. Let r be (-5 + 0 - -4) + 3. Let p(j) = -5*j**3 - 4*j**2 + 3*j + 5. Determine r*p(k) - 3*f(k).\nAnswer: 2*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*m + 572*m + 49 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p**2 - 5*p + 6. Give l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1634 and 430.\nAnswer: 8170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.1, -2\/9, -21, 4315?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6102997 centuries in months?\nAnswer: 732.35964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/9687 - 38060353\/96870. Let b = q - -394. Find the common denominator of (26\/(-16))\/((-2)\/28) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1897393 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342447 and 138.\nAnswer: 684894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 + 4676583*m**2 + 278*m - 458051 wrt m.\nAnswer: 12*m + 9353166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -70896\/18107?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4015.069 + -4251.89. Let b = j - -237. Round b to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(4*(sqrt(425) - (sqrt(425) + -4)) + sqrt(425) + -4) + 1)**2.\nAnswer: 580*sqrt(17) + 2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89.21 - -0.79. Let m = 90.4 - d. Let j be (2\/(-5))\/((-10)\/50) - 7. What is the smallest value in j, -0.5, -2\/15, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106896.24 rounded to the nearest one thousand?\nAnswer: -1107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60251508?\nAnswer: 2, 3, 19, 59, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*-2*sqrt(2299) + sqrt(2299) + 0 + sqrt(2299) + sqrt(2299) + 5 + sqrt(2299) + sqrt(2299) + sqrt(2299)*-2 + -1 + 3 + 5)**2*5 + 4.\nAnswer: 19800*sqrt(19) + 2587101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.729922nm in millimeters?\nAnswer: 0.000005729922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64124 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 2. Let d be ((-2)\/(-6))\/(a\/21). Suppose -2*s - 41 = -2*f + 3*s, -127 = -4*f - 5*s. Calculate the highest common divisor of f and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1862*m. Let g(s) = -8*s**2 + 1. Calculate u(g(a)).\nAnswer: -14896*a**2 + 1862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1892 divided by -11\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3976 - z**3 + z**3 + 3975 + z + 7*z**3 to g*z**3 + u*z + c + m*z**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1155 (c) -411 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -32*r + 27*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 925*u - 3. Let y be j(2). Let p = 2706 - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 + 797 = 2*d. Let u be (-5)\/d - (-1)\/5. Which is smaller: u or 8\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**5 + 2*p**2 - 2*p**2)*(-2 - 1 + 1) + p**5 - 4*p + p - 4*p + (-p**3 + 0*p**2 + 0*p**2)*(-35*p**2 - 43*p**2 + 38*p**2).\nAnswer: 43*p**5 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + (sqrt(2)*3 + 5 - sqrt(2) - sqrt(2))))**2.\nAnswer: 90*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(68) - sqrt(68))\/(sqrt(400) + -1*sqrt(400) + sqrt(4)).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l*l**6)\/l))**(-1\/12) assuming l is positive.\nAnswer: sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 553.7 + -664.2. Round t to zero dps.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1981*i - 4588 wrt i?\nAnswer: 1981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 746, 2969, 6672, 11855, 18518?\nAnswer: 26661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/23 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -29. Sort -4, -1\/7, h in ascending order.\nAnswer: h, -4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/60 and 23\/312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102222 + 20100111102?\nAnswer: 20100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) 0.06 (c) 3\/589 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**4 + a**2)*(-a + a + a - 4*a + 6*a + 0*a + (0 - a + 0)*(1 - 5 + 3) + 0*a + 3*a - a + 2040*a - 2010 + 2010).\nAnswer: -4092*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 12) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -9\/7, 3, 6.3, -11, -2?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*h + 2*r = 35, -5*h + 5*h = -h + 12*r + 77 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11078.\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1, -11\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19 - -6*(-1)\/3. What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3414687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3*(-2)\/(-1))\/(35\/((-6466110)\/12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344934018?\nAnswer: 2, 59, 45296051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Suppose -f*v = -4*v + 24400000. What is v rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*r + 1, 4*r + 0*r - 26 = 2*z. Let c be (4 - r) + 1 + 1. Solve -c*m = -m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3401*p**3 - 4319*p.\nAnswer: 20406*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-1\/6)*k**(1\/5)*k)**(2\/17)*((k\/(k*k*(k*k\/k**(-1\/3))\/k))**26)**(-47) assuming k is positive.\nAnswer: k**(242397\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 987 - 15 = 0. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 152, -2890, -2.\nAnswer: -2890, -2, 44, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114384 + 57192 + 57192 + 9195*u**3.\nAnswer: 9195*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4396 and -4396 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 151*t**2 - 1110*t - 76734. Determine p(-147).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413644353 is divided by 3086?\nAnswer: 3085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 32. Find r such that -395*r - 84*r**3 - w*r**4 - 588*r**2 + 5*r**4 + 395*r = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s - 42. Let q be c(-5). Suppose 5*g + 10 = 0, -q*g + 5*g = -2*p + 12. Solve p*v = 5 - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - m + 10 = 0, -5*z - 2*m + 23 = -0*m. Let b = -471 + 336. Let y be 4\/18 - (-111)\/b. What is the closest to -0.1 in 4, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/6 - 19*v**3\/6 - 41*v**2\/2 - 111*v\/2 - 54 = 0.\nAnswer: -9, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697733?\nAnswer: 697733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 363.39 - 8.39. Let o = 355.4 - z. Which is greater: o or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46046*t**2 + 17741*t + 3.\nAnswer: 92092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.4, 0.244, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287646, -575287, -862924, -1150557, -1438186, -1725811?\n\"Answer: 2*x**2 - 287647*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -3\/4, 1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0 (b) -4 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:36 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -58*t**7\/7 + 2*t**5\/5 + 166*t**3\/3 - 34. What is the third derivative of f(x) wrt x?\nAnswer: -6960*x**3 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 + 18*t**2 - 108. Let o(y) = 10*y**3 + 19*y**2 - 109. Let h(d) = -5*o(d) + 6*v(d). What is the derivative of h(l) wrt l?\nAnswer: 12*l**2 + 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -2*z**3 + 27*z**2\/2 - z - 10. What is the tens digit of p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*j + 20. Suppose -j*n - 3*o - 19 = 0, n + 9 = -5*o - 0. Sort 0, 4, n, 5 in decreasing order.\nAnswer: 5, 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000334496234 rounded to 7 dps?\nAnswer: -0.0003345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3657*a - 3641*a + 14 + 116. Does 9 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - x = 21, -13 = d - 3*x - 6 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixqxgiiihi. Give prob of picking 1 x and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 822995?\nAnswer: -1\/164599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -359c8 (base 13) to base 10\nAnswer: -98353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5947 + -2544. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 130. What is the least common multiple of 33 and i?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(1\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vilw when four letters picked without replacement from uwvlvuii.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 3*r + 16. Let h be d(-11). Let g be 54\/h - (-3)\/8*2. Suppose -5*i + j + 474 = 0, 2*i + 4*j - 81 - 91 = g. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*s = 40, -5*s + 0*s = -4*g - 13. Solve 2 = g*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1519 - -177728\/117. Let r = -10657\/234 + u. Calculate the common denominator of r and 2\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21170, -21422, -21674, -21926?\n\"Answer: -252*i - 20918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1 + (sqrt(17) - ((sqrt(34)\/sqrt(2) - sqrt(17)) + sqrt(17)))**2 + 2 - sqrt(34)\/(6*sqrt(18)).\nAnswer: -55*sqrt(17)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 607851272 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 + -310. Let o(m) = 16*m**2 + 3*m - 3. Let j(t) be the third derivative of -t**5\/60 - t**4\/24 + t**3\/6 - t**2. Let v(f) = 3*j(f) + o(f). Give v(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j**3 + 9*j. Let i(l) = l**3 - 3*l. Give -4*i(u) - y(u).\nAnswer: 5*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 76. Let s be m(-8). Sort 2, s, 4 in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 0 + 0)*(-35 + 34 - 82) + (3 + 1 - 3)*(-4 - 2*p + 4) + 0*p + 2*p - p in the form o + s*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 1. Suppose -s - 15 = -6*s. Let f(l) = -2 + s*l - 3*l - 4*l + 2*l. Determine -3*f(i) - 4*z(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1019 (b) 5 (c) 2 (d) -6.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 7*a**2 + 556*a. Let h(k) = 4*k**3 + 18*k**2 + 1111*k. Calculate -2*h(r) + 5*t(r).\nAnswer: 2*r**3 - r**2 + 558*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/73 and 50\/64313?\nAnswer: 64313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 times 4.17339?\nAnswer: -1197.76293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l**2 + l + 2. Let y be (9\/6)\/(-2 - (-15)\/6). Let u(t) = 4*t**2 - t - 3. Determine y*m(o) + 2*u(o).\nAnswer: -3*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/3 (b) -3 (c) -7 (d) -991\/2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1124\/17 and -65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*n**5 - 254*n**4 - 570*n**3 - 418*n**2 - 92*n = 0. What is n?\nAnswer: -23, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9661340 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (151 - 100) - 35\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0748 - 0.07483237. Round x to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-20)\/(262 + -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 10019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 519488?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3247.888018 - 3301.8881. Let l = -54 - r. What is l rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 - 20*q**3 - 5228 + 27*q**3.\nAnswer: -4*q**3 - 5228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 10) to base 15\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -6) + 1 - (-12 - (7 - 22))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 155 + ((-27)\/(-54))\/(1\/6). Suppose -2*b = -40 + 258. Let l = o + b. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 6*m**2 - 4*m - 2. Let f be (2\/(-4))\/((-4)\/112). Suppose 3*r + a - f = 2*a, -4*a + 9 = r. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mruu when four letters picked without replacement from xuoururouuumumuuurr.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064863590*a**4 - 76*a - 1612271?\nAnswer: -12778363080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*b + 6. Let f be b\/3 + 2\/(-6). Let l = -1792196 - -1792199. Which is greater: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809, -1684, -2567, -3464, -4381, -5324, -6299?\nAnswer: -7312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**7\/21 + 2*y**5\/5 - y**4\/3 - y**3 + 2*y**2 - y + 65. Factor z(w).\nAnswer: -2*(w - 1)**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28941 or 31?\nAnswer: -28941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Let r(z) = -16*z**3 + 54*z**2 - 21*z + 18. Let a(g) = -7*g**3 + 24*g**2 - 10*g + 9. Let v(n) = 9*a(n) - 4*r(n). Give 6*m(w) - v(w).\nAnswer: -w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g. Suppose -1 = -g*w - w. Solve -z + 3*z = 2, 4*u + w = -3*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {f: 2, x: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120 (base 3) to base 15.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 + 7*y - 7. Let q(i) = -i**2 + 2*i - 2. Let h(f) = 7*q(f) - 2*v(f). Let u(n) be the second derivative of n**4\/6 - 24*n. Determine h(u(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/9)\/b)**(7\/2))**(3\/5) assuming b is positive.\nAnswer: b**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2655*b**5 + 2*b**4 - 7913*b**2 + 71641317*b wrt b.\nAnswer: 53100*b**3 + 24*b**2 - 15826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137836117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*s = 24, 0 = -v + 4*v - s - 24. Suppose -5*o + 2 = -v. Suppose 2 = o*f - 2. Solve -5 = q - f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1467251 times 2\nAnswer: -2934502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 10*i + 61. Let p be b(4). Suppose -2*x + 2778 = -5*o, -p*o + 15 = 5. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 587719077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.04 from 0.8527778.\nAnswer: -1.1872222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.013701 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2\/7 + 338\/91.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58753 times -4?\nAnswer: 235012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -38*b + 1311. Solve -5*v + 8 = -2*h, 4 = 31*v - b*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 8*q + 2. Let l be r(-8). Suppose 0 = 3*w + 2*a - 16 + 1, 0 = l*a. Let o = 1 - 1. Sort w, o, 1 in decreasing order.\nAnswer: w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 2*f**2 - 4*f**2 + 0*f**2 + 11*f**2 + 0*f**2 + (0 + 0 - f)*(12 - 3*f - 12) - 990*f + 27*f**2 + 990*f in the form u*f**2 + h + i*f and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6554787096.001327 - -6554790108. Let c = x + -3012. What is c rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = 2*x. Let g be 24\/(-20)*x\/4. Suppose -n = g*n - 120. Round n to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 + 30\/4. Let q = 9 - k. Solve -16*h**3 + 0*h**5 - h**2 + 0*h**q - 10*h**4 - 2*h**5 - 7*h**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*sqrt(304) + (sqrt(228) + -4*sqrt(228))\/sqrt(12))**2.\nAnswer: 102*sqrt(19) + 5500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1168 and 61\/73584.\nAnswer: 73584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5513, -6833, -3949, 3139, 14431, 29927, 49627?\n\"Answer: 2102*u**2 - 7626*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2338 + 310 = 0. Suppose -5*f + 0*h = h - w, 0 = -2*f + h + 276. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/8214280 and -109\/10267850.\nAnswer: 41071400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62 - -62) + (-4)\/(-2). Solve f + 11 = -3*p, c*f - 28 = 12*p - 8*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 13*j**2 - 10*j - 4. What is the remainder when 38 is divided by i(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.035, 2\/11, -1\/58 in decreasing order.\nAnswer: 1\/2, 2\/11, -1\/58, -0.035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 82?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 24700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -11*l**2 + 16*l + 25. List the prime factors of m(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2746, -37, -4, -3\/2?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 914822569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*i = -177*i - 15045 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 673627851778.8 + 0?\nAnswer: 673627851778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/247 - 255\/988. Which is the nearest to 0.1? (a) 3 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84206?\nAnswer: 2, 71, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)\/b**1)**(-1\/6) assuming b is positive.\nAnswer: b**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.711 and -8.2.\nAnswer: -22.2302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 1\/2, -214, 942, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 98 = 2. Let i be 5\/(-10) + 18\/4. Is (-5)\/s + 87\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 137 - 548 + 261 + 5*x.\nAnswer: 5*x - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 71.9 * 0.3\nAnswer: 21.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5\/2 + 45*g**4\/2 + 65*g**3 + 45*g**2 - 135*g\/2 - 135\/2.\nAnswer: 5*(g - 1)*(g + 1)*(g + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36971 and 665478.\nAnswer: 665478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5498492.\nAnswer: 2, 337, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -8. Let w be (-72)\/(-180)*(25\/8)\/(-5). Let b = 1 - 1. What is the smallest value in w, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 800 and 1319040.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*w + 8, 5*w - v - 15 + 7 = 0. Let b(r) = 10*r**3 + 2*r**2 - 9*r + 7. Let a be b(w). Calculate the highest common divisor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001011110 - -101?\nAnswer: 110001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(2 - 6\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.1, -4, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58965 or -58967?\nAnswer: -58965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 99973303 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3572673 and -0.1?\nAnswer: 3572673.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 253973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -740645*n**2 + n - 8539.\nAnswer: -1481290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 7*s - 10. Let q be 1\/(1 + 0) + (-58 - -73). Let n be 2*((-12)\/q)\/3*12. Let p be h(n). Let v(a) = -a - 9. Determine v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.4, 0.1, 2, 24592, 4, 2\/27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - -51ae7?\nAnswer: 51acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/7 (b) -26 (c) -0.11 (d) 2\/37 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105481 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 0.26. Let l = f - 4.2. Let j = -7 - -11. Put 2\/5, l, j in ascending order.\nAnswer: l, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*h + 4*v, 0*h - v = -3*h + 11. Let i(y) = h + 3*y**2 - 2*y**2 + y**3 - 10*y**2 - 2*y. Is i(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22 - -11) + 23 - 5) + (13 - 2 - -11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1158629, -1158632, -1158635, -1158638?\n\"Answer: -3*x - 1158626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10718039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4344*l**3*p**3 - 269*l*p - 12883*p**3 - 251*p**2 wrt l.\nAnswer: -13032*l**2*p**3 - 269*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 18918*i - 2024220. Calculate y(107).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*c - 3*h, -6*c + 8*c = -3*h + 9. Suppose 11 = 4*a + m, -m - 13 = -4*a - 0*m. Solve 8 = p - c*t, 4*t = a*p - 0*t - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)\/(z**6\/z) assuming z is positive.\nAnswer: z**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 3*h**2 + 8*h + 15. Let b(g) = -g**3 - 2*g**2 - 4*g - 7. Let v(k) = 9*b(k) + 4*y(k). Calculate v(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:47 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from iooiiiiiiiiooiiiiii?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010111 - 100010110110111?\nAnswer: -100000100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255148.\nAnswer: 2, 227, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) -0.4 (c) 1726 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2 + 2 + (q - 2*q + 3*q)*(-2 + 2 - 1) + 3*q + q - 6*q)*(q**2 - 6 + 6)*(0*q - 5*q + q) to the form f*q + w + a*q**3 + n*q**4 + l*q**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 2*s**4 - 68*s**3 + 34*s**2 + 64*s - 32 = 0. Calculate s.\nAnswer: -4, -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-3) + 2\/(-3). Suppose x = 56 - 54. Suppose -100 = -l*d - 5*z, -13 = 3*d - x*z - 163. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11 + 3 + 8*a**2 - 2*a**2 - 5*a - 3*a + a**3. Let j be b(-7). Let r = 8 + j. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 85*n + 10*n + 69*n - 84*n.\nAnswer: 80*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 319*p - 317*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 116, -4.2, 4, 3\/17, 1, -5 in decreasing order.\nAnswer: 116, 4, 1, 3\/17, -2, -4.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -11 + 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/15 - 2368*d**3\/15 + 700928*d**2\/5 + 339*d + 15. Determine w, given that b(w) = 0.\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/4150 and 63\/3320?\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + 7 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2. Let k(m) = m**2 + 2*m. Let q(r) = -4*r**2 - 9*r. Let i(l) = 9*k(l) + 2*q(l). Calculate h(i(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - 2*x + 1. Let c be n(3). Suppose c = w - 4. Suppose -w = -7*s + 20. Solve 0 = s*y - 3*h + 5*h + 20, 2*y + 3*h + 18 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.62 + -156.\nAnswer: -228.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-633 + 633 - 23*t - 2*t + 3*t + 0*t + (0*t - t + 2*t)*(-2 - 2 + 2))*(-81 - 134 - 73) to the form d + o*t and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23435385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-42)*(-2 - -1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.91607 rounded to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)*l\/(l**(2\/5)\/l*l))\/(l**(1\/3)*l*l*l*l**5) assuming l is positive.\nAnswer: l**(-338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/24 + 5*p**3\/2 - 653*p**2. Give q(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31388?\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - k - 4. Let c(s) = 2*s**2 - 4*s - 19. What is -3*c(r) + 12*m(r)?\nAnswer: -42*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 + 77. Let t = u + 121.09. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -1744343.\nAnswer: 69773.72","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -25 * 1.4\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418908 is divided by 627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460201\/183 - -7544\/3. What is the common denominator of 25\/6 and k?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(3 - (-27)\/(-6)). Suppose q - 2 = o. Let x(v) = -v**2 + 4. Let d be x(-3). Put d, o, 5 in descending order.\nAnswer: 5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 607831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) -626 (b) -12\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2 + 2)*4. Suppose 2*n + i = 0, -2*n + 23 = 2*b - 19. Suppose p - b = -7. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - ((2 - 13) + (244 - 236)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -10. Let a = -5008\/5 + 1002. Let m = 2 - -10. What is the fourth smallest value in 1, m, c, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgryuurgyurrygyuguu. What is prob of sequence yyug?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/1159 - 5803\/4636. Which is the nearest to -3? (a) -4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1859792 divided by -2\nAnswer: 929896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 670?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173280 and 3340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 68. Let h be c(-10). Suppose -h*z + 5*o - 3199975 = 0, -2*o = -5*z + 3*o - 7999975. What is z rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 17*i. Let y(a) = -4*a**2 - 244*a - 412. Let m(k) = 2*q(k) - y(k). Factor m(l).\nAnswer: 2*(l + 2)*(l + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 620411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -328801 divided by 29891\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + (4 - (4 - 3)). Let y(r) = r**3 + 7*r**2 + 6*r + 6. Let t be y(x). What is the highest common divisor of t and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383136.\nAnswer: 2, 3, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**2 + v + 6. Let h be g(4). Suppose -6*z - h = -0*z. Is 8 a factor of -2 + (2 - z) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -520*g + 109*g - 1526*g as l*g + x and give l.\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -3)*-1 + 3*-27. Let g = v + 121. Let i = g - 36. Solve i*d = 3*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**2 + h**3 - 18*h**2 + 21*h**2 - 11*h**2 to r + u*h**2 + a*h**3 + b*h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*z, -5*h - 3*z - 4 = -10. Suppose 0*b + 2*b + 137 = h*s, -2*b - 39 = -s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + sqrt(80))*1)**2 + 0 + 3)*2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001164103575 rounded to 6 decimal places?\nAnswer: -0.001164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*m + 13, -5 = -3*m + 2*m + 2*n + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (9 - 8) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345740, 345746, 345754, 345764, 345776?\nAnswer: 345790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254676900 rounded to the nearest 100000?\nAnswer: -1254700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4\/2 + 5*u**3\/2 + 11*u**2\/2 + 3*u\/2 = 0?\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -21*p**5\/40 - 13*p**4\/4 - 13*p**3\/4 + 9*p**2\/2 + 19*p. Factor q(w).\nAnswer: -3*(w + 1)*(w + 3)*(7*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6 + (-1)\/2. Which is smaller: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 3*g + 1037, 9 = -3*g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27071 is divided by 192.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 29. Suppose 21*i = -17*i + 14*i + 48. Sort -2, s, i, 1.\nAnswer: s, -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 99192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -647556, -647521, -647486?\n\"Answer: 35*t - 647591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 18*j + 7. What is p(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 - -1220?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 6. Let a(u) = -2*u. Let p be a(-1). Let m be y(p). Suppose 67 = -w - 5*i + 728, 0 = m*i + 4. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5643 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-55))\/(616\/(-35) - -17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24397*v**2 + 24397*v**2 + 5322*v**3.\nAnswer: 5322*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104\/30487 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 11899671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(196)*2).\nAnswer: sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273603947.\nAnswer: 41, 67, 103, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -332 - 266ad?\nAnswer: -269e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 14541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 17 + 6 + 13 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -53?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*v - 4986 = 8569 - 3803 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 192, 305, 420, 537, 656, 777?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38841718 to the power of 1\/2, to the nearest integer?\nAnswer: 6232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123323 (base 4) in base 6?\nAnswer: 220043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/632 and -87\/180928.\nAnswer: 14293312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*j + 4*b**2 + 286*j - 198 wrt j.\nAnswer: 2*b**2 + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*j + 33 = -f, -2*f - 5*j = -66. Let i be 4\/22 - (-2469)\/f. Let r be (-4)\/((-12)\/i) - -1. What is the greatest common divisor of 39 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7050 and 6000?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 720749*j**4 - 563*j**2 - 720751*j**4 + 118 + 75 with respect to j.\nAnswer: -8*j**3 - 1126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninnnpbbnnibconcb. What is prob of picking 2 n?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01239172 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/6 - 1)\/(-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 2*l**2 - 2*l + 2. Let i be (9\/(-12)*-4)\/(4 - 5). What is m(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1)*-6*-2.\nAnswer: 12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 8*j - 4*j to the form y + v*j and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 115*o**2 - 14*o - 14572. Determine h(-114).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7954?\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/6 and 91\/1271574.\nAnswer: 1271574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - 9*j)*(-5 + 1 + 2) - 3*j - 5*j + 6*j + (0*j + 4*j - 3*j)*(2 + 1 - 4) + 2*j - 1 + 1.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**3\/3 - 7*j**2 - 11*j + 9. Suppose 0*o - o = 11. Find the common denominator of 39\/5 and x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187339909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-23 + 20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {y: 3, h: 7, o: 1, s: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*s**3 - 65*s**2 - 378582*s + 1?\nAnswer: -978*s - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 10*q - 95. Let v be t(6). Which is the closest to 5? (a) v (b) -5 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207602434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-84)*(435\/(-9) + 3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -27. Let s = -3.1 - -3. Let u(n) = -2*n**3 - 2*n**2 + 3*n + 3. Let i be u(-2). Which is the nearest to s? (a) -3\/8 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99*2.5\nAnswer: -247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.62 - -18.6243355. Round f to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -795\nAnswer: -17\/795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g + 4. Let v = g - -2. Suppose 5*h - 17 = 3*t - 0*t, -t = v*h + 1. Solve -2*o + h + 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2995 * -0.8\nAnswer: -2396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -13*l - 392. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*r**3*w**2 - 9*r**3*w - r**3 + 6*r**2*w**3 - 5*w wrt w.\nAnswer: -26*r**3 + 36*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3439 is divided by 90?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1\/4, -4465 in ascending order.\nAnswer: -4465, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 3*p - p + (3*p - p + 0*p)*(3 - 1 - 4) - 640 - 153*p + 640 - p + 0*p + 0 + 1.\nAnswer: -160*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uquc when four letters picked without replacement from qqucuqququu?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*p - 37 + 47, 0 = -5*p - 5*o - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1243*n - 166 + 12 = -1265*n. Solve -n*i + 3 = -5*m, 0*m - 1 = -m + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - 8*q - 3607*q**2 + 40 + 7*q - 332*q**2 as h + t*q**2 + p*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4856245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 989 - 879. Let z = 57 + u. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 15376?\nAnswer: -46128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1734 - -11863?\nAnswer: 10128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4405876 divided by -373.\nAnswer: -11812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 7566574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/9))**(-13)\/(u**(4\/11)\/(u*(u*u\/u**(-11))\/u*u)) assuming u is positive.\nAnswer: u**(206\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let p(a) be the first derivative of -19*a**3\/3 + 9. Determine g(p(b)).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3 - 897*t + 558 wrt t.\nAnswer: 3*t**2 - 897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84065 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v**(-5))**13 assuming v is positive.\nAnswer: v**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33156377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.118 + 132348099.\nAnswer: 132348087.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6367*d**3*i**3 - 2*d**3 - 581*d**2*i + 142*d*i**5 + 16 wrt i.\nAnswer: 38202*d**3*i + 2840*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + o + (5 - 3 + 0)*(5*o - 4*o + 0*o) + o + o - 3*o - 6*o - o - o)*((3*o + 3*o - 4*o)*(-4*o + 2*o**2 + 4*o) + 1 + o**3 - 1 - 2*o + 2*o - o**3).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -351 + 347. Is -6 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-6)\/(-24) + 17\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 + 3 - 2) - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 11. Let h be d(2). Suppose h*y - 17*y - 624 = 0. Let j = 700\/9 + y. What is the closest to 1 in -79, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463.4 - -463. Let g be (-1)\/(-2) - (-7)\/(-22). Which is the nearest to -0.5? (a) o (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 432308237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 7*b**3 - b**2 - 7*b.\nAnswer: b*(b - 1)*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1083 at most -954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 83, 117, 133, 125, 87?\n\"Answer: -u**3 + 53*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 9*p + 4*f = -5*p + 19, -4*p - 21 = -f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 295838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 29*r = -28. Sort r, 1, 0 in decreasing order.\nAnswer: r, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/9)*l*(l**(-2\/7)*l)\/l*(l\/(l\/((l**(2\/5)\/l)\/l)))**(-33))\/((l**6\/l)\/((l*l**(-4))\/l))**(-24\/11) assuming l is positive.\nAnswer: l**(253082\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 202*i\/5 - 412\/5.\nAnswer: 2*(i - 103)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 9, 5, 1, -3?\n\"Answer: -4*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(363) - sqrt(363) - (sqrt(3) + sqrt(9)\/sqrt(12)))*-6*2 + -1)**2.\nAnswer: 1656*sqrt(3) + 2056753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14593 + -14585. What is the smallest value in 1, -0.4, f, -2\/21, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2191004*k*r**3*u - 2*k*r**2*u - k*r + 201*k*u + 200*k + 5 with respect to r.\nAnswer: 6573012*k*r**2*u - 4*k*r*u - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-92)\/((-20608)\/(-160)) - ((-3)\/2)\/(75\/(-20)) and 4\/10 + (-25)\/(-6).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.043 greater than 11.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/6 + 11*r**3\/6 + 7*r**2\/2 - r. Does 14 divide h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*o = 96, 376*q = 184*q + 187*q + 17*o + 522 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**2. Let s(r) = -4*r - r + 4*r - 2*r. Give t(s(d)).\nAnswer: 99*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057, -1723, -2389, -3055, -3721, -4387?\nAnswer: -5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*p - 4*i, 2*i = p - 16 + 13. Suppose p*x + 1 + 3 = -5*f, -x - 4*f - 6 = 0. Solve -x = 3*b + 10, 0 = -5*o + 3*b + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246871?\nAnswer: 43, 107, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/17683025 and -39\/134390990.\nAnswer: 671954950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c**4\/c)))\/(c*c**(-2)\/c)*c\/(c\/((((c*c**5)\/c)\/c)\/c))*c*c**(1\/11)\/c)\/((c\/c**1)**(-1\/2))**(-11\/2) assuming c is positive.\nAnswer: c**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*s + 55 = -221*s, 19 = -4*n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1483 - -3865. List the prime factors of f.\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8623.262 tonnes?\nAnswer: 8623262000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.635 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/27*(-4)\/(-2). Suppose 5*g + i - 30 = -0*g, 3*i = -2*g + 25. Which is the closest to u? (a) g (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2859*w - 2872. What is j(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 3, k: 3, s: 3}. What is prob of sequence ksf?\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 7:42 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*r + 24, 24 = 5*r - 2*i - 20. Put -0.3, r, 1\/5 in descending order.\nAnswer: r, 1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2145*x + 104324 = -17941 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 50*h**2 - 102*h - 42. Determine v(52).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f**3 + 0*f**2 - 2\/5*f**5 - 3 - 5*f + 0*f**4. Differentiate u(x) wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -3 (c) -8\/183 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.01, 5, -15 in ascending order.\nAnswer: -15, -0.5, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -227, -141, -107, -131, -219, -377, -611?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:36 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -290\/3 + 1\/3*r**2 - 143\/3*r.\nAnswer: (r - 145)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931, 7352, 24799, 58792, 114851, 198496, 315247, 470624?\nAnswer: 670147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-21)\/((-567)\/36)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:28 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 5*g**2 + g**2. Suppose -14*j + 1113 - 287 = 0. Let s(u) = j*u - 59*u + 4*u**2. Determine s(p(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - -13143?\nAnswer: 13173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143299239 to the nearest integer?\nAnswer: 11971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -18. Suppose -26*q - 13*q + 1794 = 0. Let h = q - x. What is the lowest common multiple of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-75)*(-1)\/6*-5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 83036*p - 21 - 83036*p - 122*p**2 + 36.\nAnswer: -122*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2149503 or 2149494?\nAnswer: 2149494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + sqrt(5) + sqrt(180))*-2 + sqrt(55)\/((sqrt(11) - (sqrt(11) + sqrt(396))) + sqrt(11)))*-4)**2.\nAnswer: 104976\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -80900000 to the nearest one million.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -755 + 1348. Suppose -586*t - 5894 = -d*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 36*l**2 - 3*l + 64. Let z be s(18). What is the third biggest value in z, -2\/15, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100210201 - -21101?\nAnswer: 101002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-440))\/((-1)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*n**4 - 609 + 609 - 3*n**4 - 3*n + 3*n + 4 - 4 + n**4 + (2*n + 2 - 2)*(2 + 2*n**3 - 2) + n**4 - 3*n**3 + 3*n**3.\nAnswer: -99*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -58. What is the remainder when t is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195025798?\nAnswer: 2, 11, 59, 347, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7132, 14301, 21470?\n\"Answer: 7169*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*z**3 - 8*i**3*z - 19*i*z**3 + 84*z**3 - 3113*z**2 wrt z?\nAnswer: 18*i**3 - 114*i + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1103430517.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4153300 to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63983 (base 11) to base 10.\nAnswer: -93019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 628712587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -76*f - 130. Let l be q(-2). Calculate the greatest common divisor of l and 891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19903578 and 19903578.\nAnswer: 19903578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1219*j. Let g(i) = 2*i. Give l(g(n)).\nAnswer: -2438*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 3*b**2 - 21*b - 15. What is q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17474 - -17435. What is the nearest to -1\/4 in 0, 0.4, n, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 112*w - 2232. Calculate the least common multiple of 620 and f(31).\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.08, 2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**2 - c + 1. Let s(j) be the second derivative of -j**3\/6 + 7*j**2\/2 + 2*j. Let a be s(6). What is the units digit of i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 - 30*w + 8. Give f(-12).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-24)\/(-5) - 1. Let h be 14 + -9 - -1 - 5. Is h > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = -5. Suppose 3*n - 10 = -1. Suppose n*z = x*a + z - 433, a + z - 81 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2276 or 216162\/95?\nAnswer: 216162\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2210 - 4835. Let g be -3709 + 6\/(3 + 0). Let x = w - g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + 2 + 2 - 5 + 0*j**2. Suppose 6*k - k - 2 = -2. Calculate b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 318*s**3\/7 + 2754*s**2\/7 - 8154*s\/7 + 8100\/7.\nAnswer: 2*(s - 150)*(s - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 1481\/47 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*a = -12, n + 14 = 5*n + 3*a. Suppose 0 = -n*u - 4, -70 = 4*m - 5*m - 4*u. What is the remainder when m is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 + 14 = 0. Let v(w) = -a - 22*w**2 + 23*w**2 - 4. Let h(m) = 2*m**2 + 16*m + 14. Let p be h(-7). Give v(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 n when four letters picked without replacement from nehfffffnhenhhhx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 989954.34726?\nAnswer: -989954.54726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3354677 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029608 rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -163022591320 to the nearest one million.\nAnswer: -163023000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1 = 3*g - 2*s, 0 = 5*g - 4*s + 5. Is (2079\/(-42) + (1 - g))*-106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 15*g**2 + 17*g + 50. Is i(9) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1.40749 (b) 0.124 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 - 5*q**2 + q + 7. Let g(v) be the first derivative of -v**4\/2 + 4*v**3\/3 - v**2\/2 - 6*v - 35. Give 5*g(m) + 4*o(m).\nAnswer: 2*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q + 39*q = -18*q + 32*q + 1080. Suppose -2*w + 8 = -0*w. Let i(u) = u**3 - 4*u**2 - 4*u + 2. Let m be i(5). Solve q = -w*p + m*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + q = 99, -3*g + 2*q = 5*q - 105. Let r be (-4)\/(g\/(-12))*(-40)\/30. Let p(t) = -6*t - 2. Let a(h) = -12*h - 5. Give r*a(j) + 5*p(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -1590?\nAnswer: 43\/1590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, -0.2, 3, -1\/32, 4.2, -2, 1?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 * 8\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -23*h - 5*h. Let u be 1 - (5 - 2) - -6. Suppose -2*i - 3*d = -49 - 33, 0 = u*i - d - 136. What is the remainder when i is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 76*a**2 + 71*a + 305. Let i be m(75). Let f be 18\/4 - (-1)\/(-2). Let g be (-1)\/(-4) + 11\/f. Solve -i*z + 31 = 2*t, -5*t + 13 = -z + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9 = -1. Let s(c) = -7 + 10 - 3 + 2*c. Calculate s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 395, 2277, 5417, 9821, 15495, 22445?\n\"Answer: u**3 + 623*u**2 + 6*u - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 - z + 1)*(-40*z - 1 + 2 + 33*z) to h + r*z + c*z**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13330 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/8 and ((-39)\/9)\/(14\/9).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 + 1\/(-1)). Solve 10*a - 5*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f - 1. Suppose -2*g - 5 = -1. Let w(a) = -5*a**3 + 3*a**2 - 2*a + 2. Let k = 17353 - 17354. Determine g*s(z) + k*w(z).\nAnswer: 5*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = 3*s, 0 = 2*x - 3*s + 41. Suppose 5*n + 2*y = -46, -3*n + 3*y = y + 18. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1)*(0 - -1). Let g(f) = -5*f**i - 12*f + 6 + 2*f**2 + 7 + 4*f**2. What is the tens digit of g(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and -47.208?\nAnswer: -3351.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 5.\nAnswer: 124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 9. Let u be c(6). Let n = u - -6. Is 596\/(-6)*n\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 25*n**2 + n - 35. Let b be l(25). Is b greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 0. Let k(x) = -x - 2737. Let h be k(b). Let t = h - -1337. What is t rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r - 1289 = 119. Solve r*n = 13*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -16*u - 273. Let k(t) = 7*t + 117. Let b(j) = -3*g(j) - 7*k(j). Let q(a) = 1400*a**2 + 3*a. Give q(b(r)).\nAnswer: 1400*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -40. Suppose -r + 44 = 5*t - 288, q*t + 1750 = 5*r. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -12478\/9 + 274051\/198. Find the common denominator of 67\/44 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r*u**2*v**3 + 3*r*u**2*v**2 - 16*r*u**2*v + 43*u**2*v**3 - u**2*v**2 + u*v**2 + u + v**5 wrt v?\nAnswer: -6*r*u**2 + 258*u**2 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:58 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 4935*p**2 - 2052648*p = 0.\nAnswer: -1989, 0, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 - (-28 + 19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19*(13 - 1476\/114). Let m(w) = 7*w**2 - w + 1. What is m(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 218.3084g?\nAnswer: 218308400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.080268567*0.6.\nAnswer: 0.0481611402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1468*c**2 - 20*c + 12. What are the prime factors of z(4)?\nAnswer: 2, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 - 8*y + 51. Determine x(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28300 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -196*c**2 - 4*c + 2. Let p(f) = -392*f**2 - 10*f + 5. Determine -2*p(m) + 5*y(m).\nAnswer: -196*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i + 3*i + 940. Let a = -92 - i. Suppose -o + 15 = 2*o. Sort 0, a, -4, o.\nAnswer: -4, 0, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 2782.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 + -6 - -1. Let d = n + 0. Which is the nearest to -0.1? (a) 1\/4 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0 (b) -0.04 (c) 6 (d) 32 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36514*w + 208739*w - 13955*w + 123725*w.\nAnswer: 281995*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562337195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**3\/3 - j**2 + 6*j - 12. Suppose 0*y + y = -2. Let n = y + -3. Calculate x(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/15 - s**4\/12 - 4*s**3\/3 + 2*s**2. Let j(z) = -7*z**3 - 2*z - 7. Calculate 6*j(m) - 5*p(m).\nAnswer: -2*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -130695000 rounded to the nearest one million?\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -56*y - 32. Let z(a) = 174*a + 100. Calculate -7*i(t) - 2*z(t).\nAnswer: 44*t + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -135. Let u be (2\/6)\/(26\/(-12)). Which is the nearest to 0? (a) z (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/((x\/(x\/(x**(2\/9)*x)))\/x))\/x)\/x**(-4\/5))**(-5\/14))**(-12\/7) assuming x is positive.\nAnswer: x**(52\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20424441 (base 5) in base 16?\nAnswer: -29a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458 divided by -818?\nAnswer: -1729\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*c - 24. Suppose 2*m - 190 = m + l, -4*m + 697 = 5*l. What is the remainder when m is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v - 14. Let l be (-10)\/(-20)*(0 + -4) - 2. What is the units digit of f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16\/1 + (29148 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10472 is divided by 3488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 3*a**2 + a**2 + (a - a + a)*(0 - 3*a + 0) + (4*a - 4*a + 4*a)*(-5*a - a - a).\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c51c (base 13) to base 5.\nAnswer: 100223102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 971, 2015, 3263, 4817, 6779, 9251, 12335, 16133?\n\"Answer: 17*z**3 + 925*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 273826853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, l: 2, u: 7, p: 4, m: 2}. Give prob of picking 1 u and 2 p.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385 by -15.\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l + 3 = 2*j + 43*l, 3*l = 4*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 20*i + 35. Let x(j) = -27*j - 34. Give 3*x(k) + 4*z(k).\nAnswer: -k + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4) + (0 - -1). Let r = 1347709 + -5607817193\/4161. Let d = r - -10\/219. Is d at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3577000738 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 224, -326, -1244, -2530, -4184?\n\"Answer: -184*o**2 + 2*o + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -3)*4)**2.\nAnswer: -1152*sqrt(19) + 43920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-12)\/108)\/((-3)\/(-87)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (748 - 748 - 127*m)*(4*m**2 - 6*m**2 + 0*m**2) to p*m**3 + v*m + i + t*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 2\/9, 17\/42 in increasing order.\nAnswer: 2\/9, 17\/42, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -99132 divided by -4?\nAnswer: 24783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 28 = 2*c, -5*o - 3*c + 2293 = 2088 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4 + 2*h + 7*h**2 + h + 2*h. Let d be i(-6). Suppose 4*k - d*z = -4*z + 26, 0 = 5*k - 3*z - 5. Is 4 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 4*i = 2*s + 8, 3*i - 4*s + 4 = 0. Sort 45, -1, 9, 5, i in descending order.\nAnswer: 45, 9, 5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -682, -1545, -2790, -4417, -6426, -8817?\n\"Answer: -191*m**2 + 92*m - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -123.1. Let l = 2 + -2.2. What is the second biggest value in r, 5, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 54, 36, 0, -60?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(-48*k + 51*k + 23*k - 5*k + 3*k + k + (-1 - 5 + 4)*(5*k - 2*k - 2*k)) to g + s*k and give s.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1562030966 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 124.97714 and -2.579519.\nAnswer: 122.397621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 377, 389, 401, 413, 425?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16109873?\nAnswer: 13, 109, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (280\/14)\/(-420)*216\/12\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 1124 + 407 + 420 + 2*c**2 + 297 - c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -4. Suppose -q*f = 5*u + 10, f - 6*u - 22 = -u. What is the third smallest value in f, 1, -2\/5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**3 - 3*f**3 + 4 + 2*f**3 - f**2 as i*f**3 + s*f**2 + k + d*f and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.07 - -7. Let i = b + -0.03. Let g = 0.1 + -0.3. Which is bigger: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 72 = n - 5*n, 0 = -3*n + v + 41. Let o(r) = -33*r - 5 - 4 - 8 + 32*r. Let s be o(-20). What is the greatest common factor of s and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1377*r = 1364*r + 23972. What is the remainder when r is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3 + 3*z**2\/2 - 3*z + 3. What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((2 - 24) + 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.22 + -3.22. Which is smaller: n or 0.129?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.42876 rounded to one dp?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417902, -835804, -1253706, -1671608, -2089510, -2507412?\nAnswer: -2925314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -226 + 238 + (-1 - 3 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 111 = -1. Let w be 102\/19 - 66\/g. Is w greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -2 - 3*j + j**2 - 5\/6*j**4 + 0*j**3. Differentiate h(w) with respect to w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x. Let y(c) = 25*c**2 - 30. Let d(b) = -b**2 + 1. Let s(m) = 30*d(m) + y(m). Give s(j(n)).\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -472.\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -27*v - 2. Let g(b) = 26*b + 2. Let i = -6112 - -6119. Determine i*g(h) + 6*d(h).\nAnswer: 20*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-9\/2))\/u**(4\/9))\/(((u*u**(-1\/4))\/u)\/u*u**(-1)) assuming u is positive.\nAnswer: u**(-61\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*m + 129, 0*m + 2*m + j = -87. Let d be (-1492)\/(-22) - 8\/m. Suppose -5*p - 28 = -d. Calculate the remainder when 14 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/(t\/(((t\/(t*t**(1\/4)))\/t)\/t)))*t**(6\/5)*t assuming t is positive.\nAnswer: t**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 946\nAnswer: 39\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*s + 893*s - 570*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (280\/(-6))\/((-6)\/(-21882)*2\/(-3)). Round z to the nearest one thousand.\nAnswer: 255000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15786931 is divided by 57407.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12722*d**4 + 2410*d**2 wrt d?\nAnswer: 305328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 2725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*a)*(56 - 16 + 26) + (2*a - 2*a + a)*(3 + 0 - 6) in the form y + q*a and give q.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4715274 (base 10) in base 3?\nAnswer: -22212120010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/3090914 and -13\/4.\nAnswer: 6181828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3736*y**3 + 36379*y**2 wrt y.\nAnswer: -22416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 10*a - 9. Let s be r(-9). Suppose 5*k - 45 = -4*u, u + s = -k + 10. Suppose -u*i + 12 = v - 30, 4 = 2*i. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.9024 + 0.0976. Which is the third biggest value? (a) q (b) 0.5 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:40 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 + 0.1. Let q = 24\/119 - 1\/17. What is the closest to -0.28 in q, c, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 2. Let r be w(-5). Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 0, -1 in descending order.\nAnswer: 0, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146066638*y**3 - 3*y - 8702127.\nAnswer: -876399828*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 3*b - 2. Suppose 4*r = -3*r + 21. What are the prime factors of l(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414322?\nAnswer: 2, 23, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45305.0053906 - 45305. Round d to 5 decimal places.\nAnswer: 0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 4. Let r be y(-3). Suppose q + 5 = j, r*j - 4*q - 30 + 5 = 0. Suppose j*f = 89 + 31. What is the highest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 0, -103, 5, -2, -16 in increasing order.\nAnswer: -103, -16, -4, -2, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -2, -0.3, 1, 5250?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/149 + -614\/447. Which is the third smallest value? (a) 0.7 (b) m (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37707 + 37706.99999862264. Round r to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3559698 to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 9:53 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p + 5. Let d(o) = -3*o - 4. Let y = -2 + -3. Let g(l) = y*d(l) - 4*t(l). Let r(z) = -2*z**2. Determine g(r(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 101*d - d**3 - 208*d + 101*d - 36 + 31 + 7*d**2. Let m be ((-1)\/3)\/((-1)\/15). Let r be g(m). Solve -v - r = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 times -0.474?\nAnswer: -313.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 2. Suppose q*u - 11 = 1. Let a(x) = 1 + 2 - 4*x + u*x. Calculate a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -136? (a) 6 (b) -2 (c) 4262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, a: 1, n: 2, r: 1, f: 8}. Give prob of picking 1 a, 2 n, and 1 f.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44498 - 3166?\nAnswer: -47664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*12\/84)\/(114\/(-4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let k(y) be the second derivative of y**5\/40 + 7*y**4\/4 - 31*y**3 + y**2 - 74*y. Let l(q) be the second derivative of k(q). What is s(l(t))?\nAnswer: 3*t + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 2 - 275*m**3 + 4 - 480*m**3.\nAnswer: -755*m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 + 104400248*d**2 - 208800490*d + 104400244 = 0. Calculate d.\nAnswer: 1, 52200122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(-2*f + 2*f + 2*f) + (-2 - 2 + 3)*(f + 3*f - 6*f) - 2*f + 6*f - 3*f + 4*f - 2*f - f + 2 - 2 - f + (-3 + f + 3)*(2 - 2 - 2) + 3*f - 3*f - 2*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6431610 + -41559. Suppose -8763396 - 10856706 = -2*h. Let r = d - h. Round r to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360694405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0363 and -0.16347.\nAnswer: -0.005933961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - 1) + (8 - 31) + (29 - 12) - -3\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1471 by 56032.\nAnswer: 1471\/56032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 10 = 2*w - 2, 30 = 3*w + 3*l for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136928087\/1176867174 - 6\/394657. Let j = m - -3\/142. Which is the nearest to -1? (a) 1\/3 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-252)*(-300)\/(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/60 - p**5\/20 + p**4\/8 - p**3\/3 - 13*p**2. Let k be i(2). Suppose k*y - 12*y = -148. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117284220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91\/2 + 46. Suppose 4*i = 0, 4*w - 1 + 9 = -2*i. Which is the nearest to u? (a) -0.5 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.609*-0.5\nAnswer: -0.3045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 7*r**2 + 8*r - 7. Let f be q(8). Let b(x) = 2*x + 4. Let o be b(f). Let m be 1*-4*5\/o. Solve -2*s - m - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3650 = 203*c + 59 - 5747 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*d + 187, 3*k + 3*d + 317 = 8*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*o + 42, 4*h + 7*o - 2*o = -39. Let b be (4\/8)\/((-1)\/h). Solve -p = b*p - 5*s + 17, 5*s = -5*p + 35 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -7*h + 222, -19*h - 16*s + 170 = -14*h - 19*s for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504192 and 703872.\nAnswer: 71091072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -714?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.144 in 0.05, -33\/17, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2498980 divided by 22718\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7 - 3. Let i(n) be the second derivative of 0 + 3*n + 1\/2*n**3 - n**o. What is the first derivative of i(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42521.2 to the nearest 100.\nAnswer: -42500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 3. Solve 2 = -2*h, 2*t - 7*t = -x*h - 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 + 8*p**2 - p. Let d(u) = 3*u**3 - 5*u**2 + u. Calculate -8*d(c) - 5*v(c).\nAnswer: -4*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*l**4 - 585*l**3 - l**2 - 137407*l.\nAnswer: 360*l - 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((-14154)\/27297)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1347\/4 + 337. Let z(o) be the first derivative of -4 + 3\/4*o**3 + x*o + 3\/4*o**2 + 1\/4*o**4. Factor z(c).\nAnswer: (c + 1)**2*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*45\/(-3)*8\/3. What is the greatest common divisor of h and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 41*p. Let u(z) = -82763*z**2 + z. Give u(y(j)).\nAnswer: -139124603*j**2 + 41*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 570 and 568 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2. Let u(w) be the third derivative of 13\/24*w**4 + 0 + 10*w + 0*w**3 - 13*w**2. Calculate u(x(i)).\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275 + 595. Let q be 1\/(-3) - o\/30. Let j(x) = x**2 - 5*x - 15. List the prime factors of j(q).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 3, 32, -6, -36 in decreasing order.\nAnswer: 32, 5, 3, -1, -4, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 12*s + 9. Let k be g(-8). Suppose 5*h - 195 + 30 = -5*i, 5*i - k = -h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7455, -8543, -9631, -10719, -11807?\nAnswer: -12895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -1.8 (c) 4 (d) 1\/2 (e) -3179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(6\/13))**39)**(-35))**(5\/11))**(-10) assuming b is positive.\nAnswer: b**(31500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 9828 + 7524. Suppose -v - 2366 = -5*i, -2*i - 10*v + 6*v = -o. What are the prime factors of i?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 35799 = 3*j, 8854 = -3*s + 5*j + 35696. Suppose 2*v - s = -v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1.28, -4 in increasing order.\nAnswer: -4, 1.28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:34 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.2, -0.3, 2\/7, 1\/9 in descending order.\nAnswer: 2\/7, 1\/8, 1\/9, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*l**3 + 49496*l - 24734*l - 24763*l.\nAnswer: 123*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13020256 (base 7) to base 12\nAnswer: -48b847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7402507 * 0.1\nAnswer: -740250.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w. What is m(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/6454096 and 75\/806762.\nAnswer: 6454096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:39 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from ssfssfssassssssaa.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4 - 4*o)*(2*o - o + o).\nAnswer: -8*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 10210967.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3)\/((-182)\/(-39)*(-6)\/4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116644?\nAnswer: 2, 17, 45833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11 = -29. Solve g*n + 6 = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c, -3*u + 4*u - 22 = -5*c. Suppose -u = -4*l + 6. Suppose -l*v = 10, -2*v = -r + v + 22. Solve 0 = -r*k + 4*k + 4*h - 4, -5 = -5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:30 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 131.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-35))\/((18360\/(-300))\/(-34))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3600 at most as big as -3597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*h = 82 - 176. Are -2215 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30176 and 3325961.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3\/3 - 7*v**2 + 38*v - 35. Let h be n(8). Calculate the common denominator of 2\/h*(-99)\/(-15) and 81\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12041 + -12005. Solve -50*j + 32*j - r = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11142*w**2 - 11153*w**2 - 11157*w**2 + 33455*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/141*(-4 - (-22)\/4). What is the nearest to 3\/4 in x, -3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -99, -120, -147, -180, -219?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6026988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*k - 133*k + 2*f - 13 = 0, 2*k = 3*f - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4 + 4*t**3 + 6*t**2 - 8*t - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 0. Let r = k - 9.58. Round r to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 315*i**2 - 2667*i - 5085.\nAnswer: 3*(i - 113)*(i + 3)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 1:23 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {u: 8, q: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 30. Let q be a(3). Suppose 4*k - 8 = 4*w, 2*k + 5*w - 5 = -1. Suppose 5*m - m + 2*o = 12, -3*m + k*o - 5 = 0. Sort -5, q, m.\nAnswer: q, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1316447*n + n**3 + 4 + 1316447*n - 6*n**4 + 2*n**2 as i + m*n**3 + f*n**2 + a*n**4 + c*n and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223871867 to the power of 1\/2, to the nearest integer?\nAnswer: 14962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i + 1 + 15*i**3 + 30*i**2 - 10*i - 4*i - i**4 - 6*i**3 as w*i + y + k*i**4 + x*i**3 + r*i**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50608678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (160\/25)\/(((-16)\/(-290))\/4). Suppose 3*x - c - 31 = 319, 2*c + f = 4*x. What are the prime factors of x?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86578165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149700726.02078 + -149699513. Let r = 1213 - q. Round r to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, o: 1, t: 2}. What is prob of picking 1 o and 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311 - -102?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 1 = -35. Let j(c) = -39*c**a + 8*c + 14 + 43*c**2 - 7. Let t = -16 + 11. Let x(m) = 3*m**2 + 7*m + 6. Give t*j(y) + 6*x(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -27*a. Solve a = 4*d - 7 + 27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 8*z + 63 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -15*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 8*x - 14. Suppose -i = a - 16 + 12, -a = -x*i - 4. Which is greater: 1\/218 or i?\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 4. Let u be m(4). Let y(z) = -z**2 + 11*z - 11. Let s be y(11). Let r = s - -15. Solve u = -h + 2*t - 9, -5*h + 0*t = r*t - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 28. Suppose 2*y - y + 7 = -4*v, 0 = -5*y - v - 16. Calculate the remainder when r(0) is divided by ((-1980)\/99)\/((y - 0) + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f + 1. Let b be j(-2). Suppose -22 - 78 = -b*q. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (0 + 3 + (6 - 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 16*u + 23. Let s be o(-9). Let z = 5 + -3. Suppose -s*k - i - 3 = 7, 0 = 5*k + z*i + 5. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13318250 divided by 25?\nAnswer: 532730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -773*z**3 + 2*z**2 + 2*z - 2. Let k(d) = 1547*d**3 - 4*d**2 - 5*d + 5. Determine -2*k(l) - 5*o(l).\nAnswer: 771*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifoh. Give prob of sequence fih.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 118, -99.\nAnswer: -99, -42, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.38 + 30. Let i = 76.38 + l. Let y = -75 + i. Is -1\/44 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 - 234 - (0 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 9:17 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/6)\/((-2)\/24). Let i = 18 - u. Let t be 12\/(-9)*i\/(-4). What is the second biggest value in 0.2, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323143342 - 130?\nAnswer: 323143212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6 and (154\/(-5049))\/(6\/9).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -132, -211, -310, -435, -592?\n\"Answer: -m**3 - m**2 - 55*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 12*n - 1236. List the prime factors of n.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (27 - -2 - 40)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16640 - 16630. Calculate the least common multiple of 51 + (0\/(-2) - 1) and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 51 in ascending order.\nAnswer: -4, -2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 - 5*p**2 - 2. Let w(x) = 7*x**3 - 6*x**2 - 3. Suppose 2722*z - 2748*z + 78 = 0. Determine z*m(s) - 2*w(s).\nAnswer: 4*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 16125\nAnswer: -161250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 1, q: 7, s: 1}. What is prob of sequence sb?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k + 5*k + 12*k)*(0*k - 2*k + 0*k) + (20*k - 7*k + 22*k)*(-2*k - k + k) in the form a + c*k + v*k**2 and give v.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvvv when four letters picked without replacement from {v: 6, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(3\/11)\/a))\/((a*a**3)\/a))\/(a**(-1\/6)*a*a**7\/a*a))**(1\/15) assuming a is positive.\nAnswer: a**(-601\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1014*o**6 + 42*o**5 + 55*o**2 + o - 62.\nAnswer: -121680*o**3 + 2520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z**2 + 3*z + 2. Let j be f(-1). Let t(q) be the second derivative of -5\/4*q**4 + 0 + 4*q - 13\/2*q**3 + j*q**2. Factor t(i).\nAnswer: -3*(i + 3)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m - 16. Let t be s(5). Suppose 0 = 8*r - 5*r - t. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2 + (0 - 1 + 0)*(3 - 2 - 2))*(0*p**2 - 2*p**2 + 4*p**2).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2*r**3\/15 + 86*r**2\/5 - 3698*r\/5 + 38. Factor m(q).\nAnswer: -2*(q - 43)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sts when three letters picked without replacement from {s: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v**2 + 2*v - 2. Let t be q(1). Solve -p - t = -4*k, -k + 6 = 4*k + p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = -238*r + 200*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -45) + 8 - 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-3)*-1)\/sqrt(5).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 3 + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -102 - -88) + 15*-1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5479 is divided by 238.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4\/9, 0.02, 1 in ascending order.\nAnswer: 0.02, 4\/9, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -1.6. Let z = 4 + u. Let s = -4\/27 + 82\/189. Which is the biggest value? (a) z (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4226, 0.5, 2, 0.2?\nAnswer: 4226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.051.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036021?\nAnswer: 13, 19, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.4, -538, -3, -0.086?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 5, 11, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (66 - 41) + -10\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 591*w + 2374. Determine u(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1023361*t**3 - 420042?\nAnswer: 3070083*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 - 8088*t - 34924032 = 0.\nAnswer: -2112, 4134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -468 + 467.9. Let m(l) = -l + 19. Let b be m(15). Sort b, -0.3, k, 0.5 in ascending order.\nAnswer: -0.3, k, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -358, -151, 64, 287?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7761 divided by -2587?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/32 - (-3 + 6) and (-57)\/12*(0 - -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -69. Let p be b\/15 - (-9)\/(45\/(-22)). Let s be 2\/p - (1 + -2)\/2. Solve s = x - 0*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6013 + 2217420.22158.\nAnswer: 2211407.22158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 15 = 9*v. What is the second derivative of -t + 11 + v*t**5 - 11 wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -4330\nAnswer: -8\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10041176*q**2 - 22*q + 7758.\nAnswer: -20082352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 12 = u + 4*x, -2*x + 6 = -5*u. Suppose 4*p - 119 = 3*p - 2*z, u = 5*p - 5*z - 640. What is the greatest common divisor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-109)\/872 - (-19673)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4387, -8784, -13187, -17590, -21987, -26372, -30739, -35082?\nAnswer: -39395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 14379?\nAnswer: 28758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 788628 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 630724\nAnswer: 567651.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-43)\/c*c\/(c\/((c**22\/c)\/c)))\/(c**(-31)*c**(-25)\/c) assuming c is positive.\nAnswer: c**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 2830.\nAnswer: -18\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from xxxrrxxxxxxxxxxxxxx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-446)\/26 - 4) + 2\/13. Let i(g) = 36 + 16*g - 4*g - 5*g - 6*g. Let y be i(r). Calculate the greatest common divisor of y and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 - 4. Let y(u) = -18*u**2 - 7. Calculate 5*n(s) - 3*y(s).\nAnswer: 9*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v + 4*t - 106, 4*t + 46 = 2*v. What is the remainder when v is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1162 and 136527?\nAnswer: 158644374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 1356\/(-132))\/(-3).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, a: 2, f: 1, w: 1, j: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 130 = 0. Suppose 2*r - 94 = s. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0088 + 17470.\nAnswer: 17469.9912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563, -553, -531, -491, -427, -333, -203?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let l = -3 + 2. Let j = l - -2. Solve d*c + j = -7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20332552?\nAnswer: 2, 23, 110503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1472*l**3 + 1942*l wrt l?\nAnswer: -8832*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 573104 and 6272.\nAnswer: 4584832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 6:53 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Suppose -t - r = -67. Let h(f) = -10*f**3 - f**2 + f + 1. Let c be h(-1). Calculate the highest common factor of c and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -304198?\nAnswer: -3\/17894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 21*x**2 - 17*x + 47. Let l be m(21). Let y = -121 - l. What is the remainder when y is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3994944 divided by 4?\nAnswer: -998736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17a + 21a61?\nAnswer: 21bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + n**2 - 19 + 3*n**2 - 2*n**2.\nAnswer: 2*n**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 23\/(-8) - (4 + -9)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3397 and -11\/215?\nAnswer: 16985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*i - 1233 = 72*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1498007\/13676400 - -25\/68382. Calculate the common denominator of u and -73\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c - c)*(2 + 2 - 2)*(-1 - 3 - 3).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 5*d + 4. Suppose d*u + 3*k - 414 = -0*k, -3*u + 618 = 3*k. Is u a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 38, 3\/10, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 4504?\nAnswer: 4508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from {o: 2, p: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1654 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159 - 132 - 449 + n**3 + 111*n**4 - 180*n**4 wrt n?\nAnswer: -276*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 + 5*s**4\/24 - s**3\/6 + 2*s**2. Let l be w(4). Let n be 1 + -1 + l + 2. Let f(a) = a**2 - 5*a - 5. Calculate f(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1728, -5, 2, 5, -3 in increasing order.\nAnswer: -1728, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1171, 5\/4, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 2*h + 12. Let j(l) = -16*l - 268. Let a be j(-17). What is g(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) + 3*sqrt(252)*4 - sqrt(252))) + sqrt(252)*3*4.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 127*g**2 + 10*g + 5940. What is j(-127)?\nAnswer: 4670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**9\/1008 + a**6\/120 - 2*a**3\/3 + 2*a. Let l(y) be the second derivative of g(y). Find the third derivative of l(h) wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o + 1. Let p be f(1). Let s = p + 8. Let c be 1\/(-3) + 4\/s. Is c >= 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1000 - 704. Calculate the common denominator of (r\/(-12))\/(44\/(-9)) and -71\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 32. Solve 0 = 5*s + 5*i - c, 4*i - 26 = -3*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3*s**2 + 4*s**2)*(2708*s**2 + s - 1347*s**2 - 1047*s**2).\nAnswer: -314*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 8, -17*n - 4*h = -15*n + 34 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 21688*x + 43360 = 0. What is x?\nAnswer: 2, 5420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 14 + 51 + -78.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = 5. Let s(f) be the third derivative of -1\/120*f**6 + 1\/60*f**5 - 2\/3*f**3 + 0*f + 0*f**o + 0 - f**2. What is s(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1237 + 1074 - 992*k - 639*k + 397*k - 475*k wrt k?\nAnswer: -1709","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1512 and 133\/29160?\nAnswer: 204120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 11\/12*f**4 + 0*f**3 - 15*f + f**2 + 0. What is the first derivative of w(y) wrt y?\nAnswer: 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 15*d - 6. What is the tens digit of y(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 3448541?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*k - 3*l, -k = -5*l - 2 - 12. Let r(h) = 1 + h**2 + k*h**2 - h**3 + 4 - 7*h. What is r(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*f = -6, o + 2*f = 6*f - 3. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -169. Solve k*f - 5*f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000175173028 to 6 dps.\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c3 (base 14) to base 6.\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose 2*t - 7*t + 215 = h. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 - 33*q. Let j(v) = 2*v. Calculate b(j(p)).\nAnswer: -20*p**2 - 66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 + 141.8. Suppose r - 2*i + 12 = 5*r, 2*i - 3 = -r. Which is the smallest value? (a) r (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 227092, 454301, 681500, 908683, 1135844, 1362977, 1590076, 1817135?\n\"Answer: -d**3 + d**2 + 227213*d - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1473\/792 - 14\/336)\/(2\/11). Solve 4*r + 3 = 19, -q - 3*r = -h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*d + 12 = -3*a - 919*d, 5*a - 5*d + 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 + 13*l**2 - 180 - 172 - 27*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2779*y**2 + 10 + 5588*y**2 - 2789*y**2 + 18 - 28.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p. Suppose -3*c + 29 = 17. Let u(k) = k. Give c*u(v) + a(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-42) - (24\/56 + (-45)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619, 2496, 5633, 10036, 15711, 22664?\nAnswer: 30901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542585259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 5. Calculate z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56828783.1 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1004828338 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -67*f**2 + 11*f + 40. Let z(u) = 6*u**2 - u. Let o(m) = -2*p(m) - 22*z(m). Let b(i) = 55*i. Determine o(b(w)).\nAnswer: 6050*w**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**20*o*o**8*((o**(-14)*o)\/o)\/(o\/o**(1\/9)) assuming o is positive.\nAnswer: o**(127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**2 + 2*c**2)*(-1 - 1 + 0)*(618*c - 22986 + 22986).\nAnswer: -1236*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y - 32 = -2*y + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16 + -4 + (-9 - -8155)?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5754176 - -4453733653\/774. Let x = 9\/43 + q. What is the common denominator of x and 115\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((9 - -5) + -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 23*z + 24. Let t be h(22). Suppose 126 = -t*r + 4*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v - 21. Let y be q(0). Let n be (-72)\/y - 9\/21. Solve -n*p = 5*c - 5*p, 2*p - 18 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98 (base 11) to base 14.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*i = -14400, 0*i = 5*w - i - 36000. What is w rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:15 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.995 + 0.005. What is the second smallest value in -0.4, 6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*h + 8 = 0, 3*i - 3*h = -75 + 51 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/124 and -55\/1833526.\nAnswer: 3667052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(40)\/sqrt(8))**2 + 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/1 + (-92 - -1). What is o rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, h: 1, s: 9, d: 1, g: 1}. Give prob of picking 1 h and 1 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 - 23*g + 12. Let d(t) = 5*t**2 - 41*t + 2. Let k be d(8). What is the tens digit of l(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 21.9?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 7*j - 3*j)*((1 + 0 + 0)*(4 - 2 + 0) + 3 + 0 + 1)*(-j + 5*j - 3*j) as t + w*j + g*j**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -0.9, -14, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/((-18)\/27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-2)\/17 - 83570\/(-22814))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 45*n**2 - 81*n - 597. What is j(47)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2. Let s(u) = u - 6. Let k(c) = c - 11. Let b(h) = -6*k(h) + 11*s(h). Calculate b(t(w)).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -281?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1161*n**2 + 2455*n**2 + 11 - 1221*n**2 + (2*n + 0*n - 3*n)*(n + 4*n - 3*n) in the form y + a*n**2 + h*n and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10945 and 482575.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(1\/2)*f*f*f*f)*f))\/f)**(1\/4)*f**(-7)\/f*f\/(f*f**(-2\/3)\/f) assuming f is positive.\nAnswer: f**(-137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*v = -24, -34 - 5 = -3*a + 4*v. Let y(o) = 2*o**2 - 17*o + 22. What is the units digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:26 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 3. Suppose 4*v + 2*b = 24, 2*b - 5*b + 1 = -v. Let r(i) = -221 - 218 + 440 - v*i. Determine r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, -14, -2, 16, 40?\n\"Answer: 3*h**2 - 3*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1700)*1*5 + -1*(sqrt(2057) + 4 + sqrt(2057)))**2.\nAnswer: -224*sqrt(17) + 13345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - p = 7, -3*i + 3*p + 16 = 19. Solve -4*z + 9*z = -5*x - 10, i*x + 4 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-382)\/1719 + (-115)\/9 - -21. Let s = -1 - -8. Solve 0 = 3*w - s - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 2*j - j)*(j**2 + 1 - 1) + 3*j**2 - 3*j**2 + 2*j**3 + 12933*j**2 - 2971*j**3 - 12933*j**2.\nAnswer: -2967*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) -8 (c) -1\/4521\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 24. Let t = v - -30. Let n(d) = 2*d + 3. Let c be n(-2). What is the nearest to c in 5, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2 - 5. Let d = -7 + 4.8. Let z = d + 2. Sort z, r, 1\/2 in descending order.\nAnswer: r, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477106897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 - 5*s**2\/3 - 4*s\/3 + 20\/3.\nAnswer: (s - 5)*(s - 2)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/28*-14*14\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**3 - 24*s**2 + 32*s + 12. Let f be v(-14). Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**4*m**(-2\/3)*m**(-6)\/m*(m\/((m*m*m**(-2\/11))\/m))\/m assuming m is positive.\nAnswer: m**(-115\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.9599 (c) -6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1143*o**6 + 42*o**2 - 48*o wrt o.\nAnswer: 137160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3925 + -4?\nAnswer: -3929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7876, -13019, -18164, -23311, -28460, -33611?\nAnswer: -38764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182833, 182728, 182639, 182572, 182533, 182528, 182563, 182644?\nAnswer: 182777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17420 - 15538. What is the remainder when k is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/7230 and -73\/120?\nAnswer: 28920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 49*r**2 - 10*r.\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2. Let p(q) = 574*q. Determine p(s(r)).\nAnswer: -2296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -556855 + 1448905. Suppose 0 = -14*w + 62750 + j. Round w to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13797428.3 + 5527?\nAnswer: -13791901.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {j: 1, f: 1, i: 1, z: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose -b*k = -4*c - 84, -2*k + 52 = 4*c - 0*c. Let z = 76 - k. Calculate the highest common factor of 63 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/147385 and -43\/117908?\nAnswer: 589540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246643.\nAnswer: 246643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3133666713 + -0.0096\nAnswer: 3133666712.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.99 - -17.61. Let g = -19 + a. What is the second biggest value in 0.3, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from popottotottppoopotp. What is prob of picking 1 p, 1 o, and 2 t?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -18*g + 39. Let b be (g - 5 - -6)*111. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stvvmsttosovssvvtts. Give prob of sequence mssv.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d + 1157*d**3 + 12*d**5 + 144 - 1157*d**3 - 7*d**2 - 39 wrt d?\nAnswer: 240*d**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1654*q - 5659. Let d(a) = 1653*a + 5629. Let j(w) = 8*d(w) + 9*z(w). Find the first derivative of j(g) wrt g.\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*i = -1, 2*i = 5*f + 4 - 23. Suppose 4*j + f = 5*j. Suppose -2*u + 4*h + 24 = 0, u - j*h - 9 = 9. What is the greatest common factor of 24 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55388 and 1591724?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 80*v**2 + 2265*v. Let j(y) = 4*y**2. Determine l(j(b)).\nAnswer: 1280*b**4 + 9060*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 584*p\/7 + 6666\/7.\nAnswer: -2*(p - 303)*(p + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/235 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)*v*v**(-1\/2)*(v**1*v*v)**(2\/95)*((v*v**0)\/v**(-1\/4))\/(v**(-4)*v**(5\/4)) assuming v is positive.\nAnswer: v**(-653\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -5846.\nAnswer: -2338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 11*f - 18. Let y be d(3). Let c(q) = -q + 14. Calculate c(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 1:57 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-91)*((-12)\/18)\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 40*b**2 + 405*b - 33. Give p(-20).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 129*s + 2. Let q(l) = 8316*l + 8307*l - 16621*l. Determine o(q(z)).\nAnswer: 258*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207321.\nAnswer: 3, 13, 79, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107833441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 24 = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -134564866 - 2?\nAnswer: -134564868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 71*3*(-12)\/(-18). Let t(s) = s + 8. Let n be t(1). Find the second derivative of 68 - u + 74 + 5*b**4 + n*b wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l - 70*l - 3*l)*(6*l - 3*l - l).\nAnswer: -122*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -20*m**2 - 11*m + 5. Let x(z) = -57*z**2 - 30*z + 15. Calculate -17*l(r) + 6*x(r).\nAnswer: -2*r**2 + 7*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.15 + -9. Let h = 0.25 - p. Let x = -2 - 5. Sort x, h, -3.\nAnswer: x, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/416 and -53\/65273?\nAnswer: 2088736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbzhk. What is prob of picking 1 b, 1 p, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o - 3. Suppose -5*b + o*m = -3*b + 12, -m = -2. Let i = 1 - b. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*i + 1 + 22, 5*i + 33 = 4*d. Let w(m) = 3*m - 6. What are the prime factors of w(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 426*t - 244. What is the units digit of h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -j. Let c = 2 - 0. Which is bigger: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 + 11*m**4 - 6*m**4 + (0 + 0 + 2)*(-4*m**3 + 4*m**3 + m**4) - 2*m**4 + m**4 - 2*m**4 - 6*m**4 + 24*m**4 - 2*m**4.\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 20345*c + 80756650.\nAnswer: -5*(c - 6539)*(c + 2470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3. Let a(h) = h - 2. Let j be a(q). Let t be (-2 + 162\/45)\/(14\/(-15)). Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-5) + -3 - -1. Which is the closest to l? (a) -0.2 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*y**4 + 2*y**2 - 139*y wrt y.\nAnswer: -204*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 + -25 + 35 + -36.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**4 - 3*q**3 + 5*q**2 - 2*q + 4. Let i(m) = -m**4 + m**3 - m**2 - 1. Let y = -7 + 5. Let v(l) = y*w(l) - 10*i(l). Factor v(o).\nAnswer: -2*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 - 4*p + 1. Let t be f(-2). Suppose 0 = 5*y + t*y - 2640. Is 44 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-5)*(v\/v**(-2\/5))\/v**(2\/7)*v**(-5\/6)*v*(v*v**(5\/3)*v*v*v)\/v*(v\/v**(2\/15)*v)\/((v\/((v\/(v**(-6)*v*v))\/v))\/v) assuming v is positive.\nAnswer: v**(827\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428 - 763*u - 228 - 395*u - 87*u wrt u?\nAnswer: -1245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10798 - 4370 = -150*z + 782*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 621491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:41 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -15 - (-2 - (3 - (16 - 34)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 360 = 14*o. Let c(v) = -o*v + 22*v**2 + 30 - 37*v**2 + 17*v**2. What is the smallest common multiple of c(12) and 14?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 216 = -2*w, 0 = -132*q + 135*q + 3*w - 156. Suppose 15 + 12 = z. What is the remainder when q is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Let t be ((-4)\/6)\/(f\/(-6)). What are the prime factors of (51\/9)\/(t\/3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = i - 15*t - 4746, -18874 = -4*i - 2*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*0.3.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*d**2*s**2 + 48*d**2*s - d*s**2 - 20*d - 6*s**2 + 2 wrt d.\nAnswer: -66*s**2 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x + 25. Let o be h(0). Suppose -o*b + 20*b + 360 = 0. What is the remainder when b is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3 = l. Let q be (-1 - -2) + 4 - l. Let h(p) = -p**2. Let j(d) = -d**2. Determine q*j(k) - 3*h(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2830\/91 + 408\/13. Let w = 0.12 + -0.08. What is the third smallest value in 3\/7, -5, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1421 - -2894. Let s = 574 - a. Let p = -502 - s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -5*w**4\/12 - 21*w**3 - 2926. Factor n(k).\nAnswer: -k**2*(5*k + 189)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12e (base 16) in base 2?\nAnswer: 100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 530*q - 26652. Give k(49).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (80 + (58 - 50))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992805 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058354997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 289.\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-7))\/(8\/(-16)). Let c = 57447\/7 - 8207. What is the second biggest value in 12, 7, c, y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -337*f**5\/5 - 1768*f**2 - 2221*f - 2. What is the first derivative of s(u) wrt u?\nAnswer: -4044*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 b when four letters picked without replacement from {v: 2, b: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (116 - 114)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 + 65*t + 167. Determine z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(6\/11)\/(j**(2\/15)*j) assuming j is positive.\nAnswer: j**(-97\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f*t**4 + 13*f*t**2 - 28269*f*t + 29393*t**2 - 2542*t wrt t?\nAnswer: -216*f*t**2 + 26*f + 58786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26879*d**4*g*y + 7*d**3*g*y - 27*d**3 + 2*d**2*g*y - 23617*d**2*g - d**2 - 3*d*g*y - y - 12 wrt d.\nAnswer: 645096*d*g*y + 42*g*y - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/3 (b) 3 (c) 2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 + 6*l**2 - 10 + 79*l - 84*l. Is 37 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -328155 = -328155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Suppose 0 = -5*l + 6*l + 3*k + 16, 4*l = -3*k - 28. Let t(r) = 3*r - 1508 + 1508. Determine l*y(m) + t(m).\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44756244657\/11705 - -3823686. Find the common denominator of o and -37\/9.\nAnswer: 105345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 times -87.4?\nAnswer: 10400.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3759 + -3b9?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:01 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570, -1202, -1964, -2922, -4142, -5690?\nAnswer: -7632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ee7 - 0?\nAnswer: -4ee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 791758 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 15 + 1. Calculate the common denominator of 47\/(-4)*(-2)\/g and (-27)\/(-2)*2\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1042376155*r**3 + 15576*r**2 + 28.\nAnswer: 6254256930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*r**2 - 269*r**2 - 1 + 2 - 1 as t*r + f + h*r**2 and give h.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1753320 - -1?\nAnswer: 1753321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -149, 1508, 4 in ascending order.\nAnswer: -149, 4, 16, 1508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -141*k + 142. Is c(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121, 897, 2197, 4027, 6393?\n\"Answer: g**3 + 256*g**2 + g - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide ((-54)\/30 + 3)\/(54\/799560)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 261 or 3185?\nAnswer: 3185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-8) - 1 - -1. Let p = 168.5 - 168. Which is the fourth biggest value? (a) k (b) p (c) 3\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/80 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 4274*f**2 + 12812*f - 17051. What is c(2134)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*c*p**2 + 2*c*p + c + 3*p**3 + 200*p + 53145 wrt p.\nAnswer: -66*c*p + 2*c + 9*p**2 + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**5\/240 - j**4\/96 - 8*j**2 + 16. Let c(k) be the second derivative of b(k). Factor c(l).\nAnswer: l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27*(95\/30 - 9\/3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16158*k**2 + 2 + 14*k**3 - 16158*k**2 + 14*k**4 to the form x*k**4 + l*k + z*k**2 + m*k**3 + v and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 + 34 = 0. Let h = n + -1. Suppose -2*b = -3*d + 9, -5*b + 2*d + 2 - h = 0. Solve -u = 5*x - 28, b*x + 4*u - 27 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 66*g**2 - 9*g + 595. Let s be i(66). Let z = 58 - 75. Sort z, s, -3 in decreasing order.\nAnswer: s, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/2 + t**2 - t + 2. Suppose y - 5*s + 33 = 0, -47*s + 51 = 8*y - 42*s. Give z(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 14187624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -3.64. Let f = -0.57 - n. Let h = f + -0.26991. Round h to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4734888643 + -62396362507191\/13178. Let b = -13\/599 - o. Let d = 3\/3863 - -575569\/23178. Find the common denominator of b and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from tttetrtrmmrfrhr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(52))\/sqrt(4) - (2 + (sqrt(13) - sqrt(39)\/sqrt(3))**2)) + 4.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112847 - 18*m + 5*m + 112847.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2629.702.\nAnswer: 2624.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21014 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 a(g) be the first derivative of 2*g**3 + 3*g**2\/2 - 4*g - 7. What is the units digit of a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t + 3*t + 2 + 3*t. Let g(x) = -3*x + 1. Let s be g(1). Calculate r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -9. Suppose -7*h + 8 = -3*h. Sort h, q, -1 in decreasing order.\nAnswer: h, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from tqee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 61 = -i, 4*u - 5*i = 59 - 22. Solve -u = -4*t + t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d*g*v**2 - 8*d*v**2 - d*v - 1190*d + 4*g*v**2 + 696*g*v - 213*v**2 with respect to d.\nAnswer: -16*g*v**2 - 8*v**2 - v - 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 71, 106, 155, 224, 319?\n\"Answer: o**3 - 2*o**2 + 26*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 4, c: 1, w: 1, b: 1, x: 3}. What is prob of picking 1 c and 2 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(2\/13)*j)\/j)\/j*j)\/((j*((j\/(j**(-2\/7)\/j)*j)\/j)\/j)\/j*j*j))**(-18) assuming j is positive.\nAnswer: j**(3996\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11789931 is divided by 11789863?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3044)\/136 - 8*7\/476. Let t = y - -22. Which is the closest to 0.23? (a) -1 (b) -3 (c) 2\/13 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c - 4 + 1 - 2. Suppose -2*q - 88 = -3*s, -21 = -0*s - s - q. Let i be 13\/s*(-1*2 - 10). Let t(j) = -20*j - 14. What is i*t(h) + 17*g(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 70*k**2 - 174*k - 1810. Determine n(67).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4546.\nAnswer: -4546, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/3 - 97514*r + 1170200\/3 = 0. Calculate r.\nAnswer: -146275, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from {e: 4, v: 7, o: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-175 - -172 - (-2 - -5 - 4)) + -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3520, 6934, 10266, 13534, 16756, 19950?\nAnswer: 23134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*((-2 + 0 + 0)*(-2 + 4 - 4) + 0 + 0 + 1 - 1 + 1 + 2 + 0 - 26 + 6)*(-2*v + v + 6*v) to w + x*v and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 + 1\/4*h**4 - h + 0*h**2 - 1\/2*h**3. Find the second derivative of l(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12 and 71\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 12*g + 15. Determine o(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36553, -36538, -36519, -36496?\n\"Answer: 2*c**2 + 9*c - 36564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)\/d)\/(d*d**(-5\/4)))**(2\/73)*((d**(-4)\/d)\/d*d)\/(d*d**(-2\/31)*d*d*d)*((d\/((d**4\/d)\/d))\/d*d)\/d**(7\/2) assuming d is positive.\nAnswer: d**(-30482\/2263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -22. Suppose 0 = y + 2*r - 643, 0*r + 1919 = i*y + 4*r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2516a + 3?\nAnswer: -25167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114624061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909 = -21*p + 7218. What is p rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -4 - 4 - 13) + -10 - (-4 - 6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -429 + 428.999723. Round n to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, 3327, -2, -0.2, -9\/28?\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 39. Let l = 19 - c. Suppose 5*i + 3*h - 2029 = 0, l*i = h + 2*h + 820. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o. Let m(z) = 103*z**2 - 2*z + 29. Calculate k(m(g)).\nAnswer: 824*g**2 - 16*g + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*z**2 - 491 + 491.\nAnswer: -456*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 39479 + 39479. Let f(b) = -1429*b. What is f(x(l))?\nAnswer: 1429*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -25*(-16335)\/(-6750)?\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 0)*-1 - 1. Suppose -2*p + 3*p - 43 = 0. Let f = p + -38. Sort 1, f, w.\nAnswer: w, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l**2 + 810 - 810)*(-14*l - 5 + 0 + 11*l).\nAnswer: -63*l**3 - 105*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - 2*q**2 + q - 4. Let r(y) = y**2 - 16*y + 52. Let g be r(11). Give b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y = 38*y + 3*h + 4 - 13, -2*y + y - 84*h + 73*h + 41 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1f?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.4, -8, -1\/9, 17?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.552728 rounded to 2 decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, h: 1, n: 1, k: 2, l: 2}. Give prob of sequence qn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -129, 0.04, -3, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-4)\/(-24)*-2. Let h be (-1)\/b*-3 - 81. Let l = h - -754\/9. What is the third smallest value in 2\/3, 2\/7, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, l: 9}. Give prob of sequence llf.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/((-288)\/27) + 567\/36 + 7. Let m(h) = h**2. Let w(j) = j**2 - 6. Let r(u) = u**2 - 1. Let l(t) = -15*r(t) + 3*w(t). What is q*m(b) + 2*l(b)?\nAnswer: -2*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5843886 divided by 4794?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37994243592925 - -1?\nAnswer: -37994243592924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 - 1. Let u be g(-3). Suppose q + 2 = 3*q + 2*c, 4*c = 3*q - u. Suppose -3 = i - 8. Solve -15 = -5*r + q*w, 2*w - 5 = -i*r - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:24 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 5 + 2 + 10*q**2 + 5*q. Let x = -7 - -2. Is b(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 7) in base 9?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/256)\/((-6*(-7)\/(-8400))\/((-10)\/8))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49749919 to the power of 1\/2, to the nearest integer?\nAnswer: 7053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 131?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Suppose 3*q = f + 12. Suppose 33 = i - 0*i - 2*w, 3*i + q*w = 66. Solve -5*b + i - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-989)*20\/120?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 + 57*y**3 - 122*y**3 - 27*y**3 - 311*y**3.\nAnswer: -420*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863294\/377 not equal to 7594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.383147*3\nAnswer: 19.149441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -947985*h**3 - 240602*h**2 wrt h?\nAnswer: -5687910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 6*l - 0 - 0 + 11, 0 = -5*x + 2*l - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*l + 26 - 671*l - 26 + 361*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/360 - k**5\/24 + 13*k**4\/12 - 42*k. Let w(x) be the third derivative of h(x). Calculate w(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -211\/6 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20151.153841 + -5857.\nAnswer: -26008.153841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53676 and 81?\nAnswer: 161028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -36. Suppose s*j - 8 = -2*j. Solve -4*m + j*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*n - 6*x - 5, 4*x = -4*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140129429, -140129434, -140129441, -140129450, -140129461, -140129474?\nAnswer: -140129489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 53. Let u be r(5). Let v = u - -117. Suppose 3*l + l = 28. Do v and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/4, -2\/13, -146?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/31, 66, 1\/4 in decreasing order.\nAnswer: 66, 1\/4, 3\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (159\/(-4))\/(231\/(-44) + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -65. Suppose 18*z + 18*z - 1188 = 0. Let f be (-196)\/i*z\/2. What is the greatest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 13. Calculate the remainder when 35 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = s - 57 + 5, s + 4*c = 56. Suppose -5*z + s = 2*g, -2*z - 5*g - 25 = -4*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 162819.5 decades?\nAnswer: 16281.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1504153\/3 and -501383 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1583346 by -2451.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347440132?\nAnswer: 2, 13, 6681541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068905509 rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38790480 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:45 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 1, 0.01, -1220?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -126. Suppose -1 = 2*b - p. Let g(x) = x**3 - 5*x + 2. Calculate the remainder when b is divided by g(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 233, 184, 85, -82, -335, -692, -1171?\nAnswer: -1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1391 - 758. Suppose 0*a - 4*a = 3*d + k, 2*d + 475 = -3*a. Is a\/(-2) - (-6)\/4 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:30 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 + 3. Let i be u(3). Find the common denominator of ((-57)\/12)\/(18\/84) and 2 - 4 - i\/44.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -383 - 65 - 434*h + 437*h + 2*h**3 in the form j*h**2 + w*h + u + f*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let m(x) = x**2 - x - 1. Let u(t) = 54*t**2 - 45*t - 45. Let j be (-1)\/((-17)\/4 - -4). Let k(z) = j*u(z) - 180*m(z). What is k(b(r))?\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p + 13*p + 6*p)*(p + 0*p + p)*(-1 + 3 - 5) to the form m + f*p + h*p**2 and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143503 is divided by 323.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 242 + 209 = -29*d + 51 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-17 - -29)) + (1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -0.31. Let x(d) = d**2 - 10*d + 1. Let w be x(10). Put -2\/13, q, 0.7, w in descending order.\nAnswer: w, 0.7, q, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w + 3. Determine n(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122706 divided by -6?\nAnswer: -20451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6.8984 times -0.1\nAnswer: 0.68984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3)*(14\/2 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (334 - 334 - 141*h + (-2 + 2 + 1)*(2*h + h - 4*h))*(-4*h - 11*h - 3*h).\nAnswer: 2556*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -14. Is (-2 + -204)*1\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {l: 3, z: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - 0.7. Let j = 0.17 + -6.37. Let y = j - -6.7. Which is the nearest to -1\/4? (a) k (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 31 = 3*x - 4*x, 0 = -q + 5*x + 22. Calculate the remainder when 26 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4806619 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 4*m + 31 + 237 + 38.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624) - ((sqrt(624) - (sqrt(624) + -1*sqrt(624)) - sqrt(624))*1 - sqrt(624)))\/(sqrt(12)*-1*-3 + sqrt(12)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*q + 3*k - 5*k, 0 = 2*k - 10. Suppose 5*z = 5 - 5. Suppose 2*w - 17 = -q*d + 6, z = 4*w - 5*d - 1. What is the smallest value in -3, w, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13169408 and 91392?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20543, -19669, -18793, -17915, -17035, -16153?\n\"Answer: x**2 + 871*x - 21415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30b (base 14) to base 12.\nAnswer: -41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 2*h - 81. Calculate b(-6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 18955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 66 = -26. Solve -3*f = 2*f - j, d + 3*f - 14 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62718 or 62895?\nAnswer: 62895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*o**3 + o**2 - 111*o**3 - 305*o**3 - 3*o**3.\nAnswer: -350*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t**2. Let f(r) = 71*r + 76*r - 144*r. Give f(x(p)).\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = -37*l - 54. Let y = -23 - l. Let u = y - -41. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -z. Let k = -9 - -11. What is the third derivative of k*u**z - 3*u**4 - 3*u**2 + 2*u**4 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3195*p = 130130 + 865 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1204*z**2 - 48*z**3 + 1204*z**2 + 42. Let m(y) = y**3 - 1. What is -2*h(r) - 84*m(r)?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n - 8. Let j(w) = -11*w + 17. Let k(l) = 9*h(l) + 4*j(l). Suppose -2 = 3*y - 14. Suppose -2*g = -g - y. What is k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*w + 17 = 175, 5*w = -10. What is the remainder when 80 is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -5*r - 8, 0 = -m + 4*r + 2. Suppose -m*n + 0*n + 14 = 0. Let y(t) = t + 6. Let k be y(-6). Solve k = -4*c - 9 - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*m + 95*m + 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(28) + (4*(sqrt(28) + 0))**2 + 1.\nAnswer: 2*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1664165 minus -0.0625?\nAnswer: 5.2289165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 1. Let o(v) = 4*v - 1. Let a(f) = 3*n(f) + 4*o(f). Suppose 3*c = -0*c + 9. What is a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 8*n - 3 = 0. Is 9 a factor of (18\/21)\/(n\/(-126))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 139. Suppose -3*l - 2*k + 1 = y, -k - 8 = -5*l + 11. Calculate the remainder when 72 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18677 is divided by 6183.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1496 - -1503. Solve g + 4 = 11*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202011 (base 3) in base 9?\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utttuuutuutu. What is prob of picking 1 t and 3 u?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 73, 0 in decreasing order.\nAnswer: 73, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*o + 1. Suppose 3*z - 2*c - 164 = 0, o*z - 108 = 5*c + 5. Let j = 85 - z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42423253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327297 is divided by 36357?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443592.\nAnswer: 2, 3, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -6*x + 28*x - 8*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-12)\/42)\/((-1)\/(-14)). Let k be (-23)\/v + ((-78)\/(-13))\/(-1). Which is the closest to -3? (a) 1 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + 2*j**2)*(8*j + 9*j + 5*j).\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004474 rounded to 6 dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6*j = j + 10, 0 = -k - j + 2. Suppose -13*s + 11*s - 468 = k. Let v = s - -2104\/9. Does v = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30959 divided by 373.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*((-6*(1 + sqrt(245)) - sqrt(245)) + sqrt(245))*-2)**2.\nAnswer: 17136*sqrt(5) + 318676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (6 - 23) - (-60 - -73 - (3 + 1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.9 - -20.9. Let g = -1.7 - 0.3. Let h = -1 + g. Which is the second biggest value? (a) h (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s. Let v(i) = 2008051*i. What is j(v(x))?\nAnswer: -26104663*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7343177 rounded to two dps?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 18157\/40243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141678726 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277990 is divided by 7512?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 36365112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2540\/19 + 86594\/627. Let p be (2\/(-220))\/(6\/7606). Let j = u + p. What is the common denominator of j and 13\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4056 and 711828.\nAnswer: 1423656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 42134976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -11*r + 10. Suppose 4*t = w - 186 - 942, r*t - 20 = 0. Suppose 0 = -21*x + 29*x - w. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 3 - (-4 + (11 - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 38*b**2 + 44*b - 165. Determine c(39).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56106547 - 26*h + 17*h - 56106547.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 1.04, -2\/7, 44 in increasing order.\nAnswer: -2\/7, 0.6, 1.04, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 + 19112*l - 22829284 = 0. What is l?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -36*b**5\/5 + 597*b**4\/5 - 339*b**3\/5 + 48*b**2\/5 = 0?\nAnswer: 0, 1\/4, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-34)\/(-14025))\/((-3)\/60).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1478 + -344. What is the highest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/200 and 9\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*w**3 + 155*w**3 + 186*w**3 - 496*w**3.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let q = -33 + 40. Let v = q + -9. Which is the nearest to v? (a) 0 (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 18749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.068235 centuries to decades.\nAnswer: 40.68235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 1. Let c be q(4). Suppose 0 = -3*p - 3*n - 12, -2*p + 7 + c = -5*n. Is 1\/41 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - sqrt(136)*1)*-5 + sqrt(136))*5*1)\/((sqrt(72) - (sqrt(72) - sqrt(72)*-1))\/sqrt(9) - sqrt(32)\/(sqrt(16)\/sqrt(4))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -1281\nAnswer: 384.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4 - 63\/(-6). Suppose 2*g + 81 = 5*q - s, -1 = -q - 3*g. Let y(x) = -x**3 - 5*x**2 - 6*x - 2. Calculate the remainder when q is divided by y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 30. Suppose -2*c + 7*c + r = d, -2*d + 60 = 4*c. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135512191 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2 + 12. Suppose -4*u + 72 = c, 4*c - 5*c - j*u + 73 = 0. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**6\/120 - w**5\/30 - w**4\/8 - w**2 + 19*w - 62. Let r(x) be the second derivative of s(x). Factor r(n).\nAnswer: n*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 15*r - 334 + 431, r + 5 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkbkb. Give prob of picking 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 118*f - 284. What is the tens digit of l(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/105 + j**6\/10 + 4*j**5\/5 - 56*j**4\/3 + 128*j**3 + 2105*j**2. Determine z so that r(z) = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 571312416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206163 minus 30.63?\nAnswer: 4206132.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1\/2*-8 + 5. Solve f = -q + 2, 0*q = -v*q + 4*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-8))\/((-191)\/2). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 1. Let x(o) = -23*o**2 + 2*o - 10. Let g(r) = 11*r**2 - r + 5. Let w(h) = 7*g(h) + 3*x(h). What is 6*f(j) + w(j)?\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145933 <= 1313399\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -2*s + 5, -8 = -5*s - y. What is the hundreds digit of 6 + -7 - (-161 - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**3 - 13*z**2\/2 + 10*z. Let o be r(3). Solve 4 = o*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 355920 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 296466 divided by 3\nAnswer: 98822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Let w(r) = -r + 13. Let g be w(5). Solve -x*j = -n - g, 5*n - j = 3 + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(10)\/sqrt(2) + -5)**2 + sqrt(5) - ((2 + sqrt(5))*5)**2.\nAnswer: -108*sqrt(5) - 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 49. Let h = 56 + v. Let w(f) = 7*f**3 + f**2 + f. Let y(a) = -20*a**3 - 2*a**2 - 3*a - 1. Let j(q) = -17*w(q) - 6*y(q). Calculate j(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-224))\/(20\/105)*(-594)\/(-11).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-8462)\/(-3)*6\/1144. Let z = 187\/13 - r. Calculate the common denominator of z and 3\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 8, c: 3, n: 3, d: 4}. What is prob of sequence yccd?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2729948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/204 + 0)\/(365\/2920).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4642 - -0.429. Let y = 60.9 - 58. Let i = b - y. Round i to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 6*(-3)\/12)*1044. Suppose -11*t + 131 = -x. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*-1*sqrt(190) + 3*(sqrt(190) - 1*sqrt(190))))\/(1*sqrt(50)\/(sqrt(40)\/(sqrt(56)\/sqrt(7)))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.36087 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y**2 + y**3 - 6*y**2 + 3*y**2 - 2*y**3 + y**3 + 0*y**3 + (4*y - y - y)*(-3*y - 2*y**2 + 3*y) - y**3 + 1 - 1.\nAnswer: -5*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226 - -174?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:19 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 5:03 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/32 + (-57)\/(-12) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -164380712.277.\nAnswer: -164380711.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 990 + 237 = 282 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8526 to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 61276 = 2*a, 25294 = 4*i - 5*a + 830. What is the smallest common multiple of 4 and i?\nAnswer: 12252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*s = -1303*s + 5998 - 24918 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 66 = g - 2*q, 3*g + 202 = -4*q. Let c = -25 - g. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - 5*o, -3*o = 3*k - 8*o - 33. Is 1355 + 9\/k*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z. Let s be t(-2). Let m = 3 + 1. Suppose -s = -m*r - 3*f, -4*f + 8 - 2 = 3*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 171*l**4\/4 + 85*l**3\/2 - l**2\/4.\nAnswer: l**2*(l + 1)*(171*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + -96.2. Let g = z + -6.24. Let b = 16 - g. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -3 + (4 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:00 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -1. Calculate the highest common factor of h and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*n - n. Let i(p) = -p + 20. Does 2 divide i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -895\/6, 23, 7.94?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 2035*s - 32530. Give i(662).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 149. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 4. Let n = 11 - 7. Calculate the remainder when 59 is divided by j(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*v + 1472, 1462 = 3*p - 14*v + 16*v. What is the greatest common factor of p and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39140*t**2 + 13043*t**2 - 12*t**3 + 13050*t**2 + 13047*t**2.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96\/451 + -5\/41. Let h = -562 + 562. What is the second smallest value in z, h, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h*h\/(h\/h**(-1\/3))*(h*h*h**(-3)\/h)\/(h*h**(4\/11)))**(-3\/8) assuming h is positive.\nAnswer: h**(-19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.999908 - 26. What is n rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from bbmmmbmmmbbbmbbb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - w)*(w + 5*w - 4*w) + 2*w**2 - w**2 + 0*w**2 + (2*w**2 - 2*w**2 - 2*w**2)*(4 - 9 - 1).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006156 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 39 - 1111*u + 40.\nAnswer: -1111*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o + 7. Let d be m(0). Suppose 30 = d*y - 2*y. Calculate the highest common divisor of y and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 4*v**2 + 3*v. Let q(k) = k**2 - k. Let c(o) = -o + 6. Suppose 2*h - x = 7, x + 7 = h + 2. Let s = 5 + h. Let z be c(s). Give z*g(f) - 3*q(f).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by -26.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63495.53mg in nanograms?\nAnswer: 63495530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 43. Suppose 5*w = t, -2*u + 7*u = 2*w. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*y = 64, -24 = -l - 3*y + 6. Let g be (-3)\/((-1)\/(-2)*(8 + -9)). Let j be l\/(-16)*(-16)\/g. Solve -x - 20 = j*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 (base 11) in base 6?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127\/496 - 81\/62. What is the common denominator of a and 81\/26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/1)\/((-1470)\/196*10\/(-50))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -5. Let m be (21\/14)\/(21\/(-4)). What is the second smallest value in m, z, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d + 62*d - 4*g + 18 = 0, -4*g = -4*d - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 1, m: 2, q: 1, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(12\/7)*z*z)**43*(z\/z**(-19))**(-48))**(-2\/59) assuming z is positive.\nAnswer: z**(11204\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 12*o + 18. Let x be p(-8). Let y(w) = w**2 + 15*w + 17. Let b be y(x). Let r be 1 + -1*4*-1. Solve -r = -b*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.4. Let x = -13 - -11. Let r = 1 - x. What is the nearest to 1 in -0.3, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*f**4 - 5*f**3 - 748*f**2.\nAnswer: 2616*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1506, -6065, -13652, -24261, -37886?\nAnswer: -54521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 1. Let t(i) = -i**2 + 2*i + 29. Give -2*f(w) + t(w).\nAnswer: -w**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -245525, -246398, -247853, -249890, -252509?\n\"Answer: -291*r**2 - 245234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -228, 2\/13, -2120?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 38 (b) -15783 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -3455225535?\nAnswer: 3455225535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 u when four letters picked without replacement from {t: 5, u: 5, v: 4}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21429 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:44 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -253*o**2 - 3052*o - 29. What is l(-12)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 668791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -550ae + -2?\nAnswer: -550b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -35*k - 8. Let f be r(4). Let y = -73 - f. Let g = y - 77. Which is the smallest value? (a) 4 (b) 1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 + 30*n**2 - n**2.\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.00486?\nAnswer: 0.000486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l + 364 = 4*w, 4625*l - 74 = 2*w + 4630*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/3 at least -29173.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 116642.\nAnswer: 583210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 - 8*j**2 + 453915*j - 70730611.\nAnswer: 6*j**2 - 16*j + 453915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 4*x + 4. Let g(i) = -i**2 + 3*i + 5. Let d(y) = -3*g(y) + 2*q(y). Suppose -j + 0 = -2. Suppose m - j*m = 0. Give d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {s: 1, i: 4, o: 2, n: 3, z: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/115122 and 1\/672.\nAnswer: 1841952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, e: 4, n: 2}. What is prob of picking 1 e and 2 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-52)\/6 + -1)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s**22)))\/s**(-2\/25)*s**9\/s*s*s\/((s**(10\/11)*s)\/s) assuming s is positive.\nAnswer: s**(8572\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 25 = -i, 1026*v - 4 = 1022*v - 4*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/3, -560, -0.315 in decreasing order.\nAnswer: 5, 2\/3, -0.315, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 2\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 12. Suppose -z - n*s + 812 = 0, 2*z + 8*s = 3*s + 1619. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by (5 - (-935)\/10) + -7*(-5)\/70?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*f - 3)*(2 - 5 + 0) - 2*f - f + f - f + 4*f - f + (-4 - 2*f + 4)*(4 + 1 - 3) + 4*f + 0*f - f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -8871, 0.3, 2, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by 18169?\nAnswer: -234\/18169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 8*a + 2*a)*(19*a + 5*a + 27*a) + a + 23*a**2 - 18*a**2 - 2*a as n + q*a**2 + h*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*j - 2*j + 292, 137 = -2*o - j. Let v = o + 178. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2463, 2461, 2459, 2457?\n\"Answer: -2*x + 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*q - 14 - 24, 5*i - 5*q + 50 = 0. Let c be -1 + (0 - 0) + -7. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -1353, -3007, -5323, -8301, -11941, -16243?\nAnswer: -21207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 + 27*y - 25. Let o be s(10). Let u = 261 + o. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + 3.1. Which is the biggest value? (a) h (b) -0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -843.\nAnswer: 4\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-16) - (-1 + 9\/12). Let f(v) = 78*v - 9. What is the tens digit of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 18*s + 195. Let v be f(5). Calculate the greatest common factor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvceomvleomvolo. What is prob of sequence oo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 + 2532. Let b be 1398\/4*543\/81. Let n = z - b. Calculate the common denominator of n and 17\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91118, -183294, -275470, -367646, -459822, -551998?\n\"Answer: -92176*g + 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*m + 229, -3*n - 25 + 142 = 5*m. Suppose n + 64 = 3*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: Let p(v) = 213*v - 19. Let h be p(4). Suppose 27*n = 20*n + h. Calculate the remainder when n is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -718 by -1.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5510 + -1119. Let z be 1541785\/(-232) - (-5 - -1). Let d = z - n. Calculate the common denominator of 71\/10 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(sqrt(5) + sqrt(20)\/sqrt(4)))\/(2*sqrt(54))*4)**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 7:34 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1258*i**5 + 4*i**3 + 11214*i**2?\nAnswer: 75480*i**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -131*m + 15. Let n be l(2). Let d = n - -249. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 4*g + 3. Let b be 2 + -3*(-1 + 2). Let u(z) = z**2 + z - 1. Let i = -51 + 52. Let f be 1 + (-12)\/(-4) - i - 8. Give b*d(n) + f*u(n).\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n - 20 - 24 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/34*((-23993)\/(-3) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -0.031 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*z + 23 - 113 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114)\/(sqrt(30)\/sqrt(5)) - (sqrt(304) - (sqrt(304)*1 - sqrt(304)))))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*r**2 - 7 + 44*r - 95*r + 50*r + 48 with respect to r.\nAnswer: -86*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70469*w**3 - 17761?\nAnswer: 211407*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and (-460496)\/(-255) + -1 + 6 + (-73)\/15?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22 - (-14693)\/77 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 2.324, 0.2, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**4\/2 + 4*g**2. Let t(v) = -v**2. What is k(t(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + v - 2*v)*(432*v - 434*v + 2 - 10) as m*v**2 + n + q*v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*j - k, 3*j = 4*k + 226 - 242. Let u(m) = 4*m**2 + 4*m. Let v(z) = -z**2 - 1. Let y(i) = -u(i) - 2*v(i). Determine y(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5612645 + 5?\nAnswer: -5612640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 492*r**2*z**4 + 13673*r**2*z**2 - 2*r*z**3 - 5*r - 298*z**4 + 4*z**2 wrt z.\nAnswer: 11808*r**2*z - 12*r - 7152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) + (-2)\/(-4). Let k = z + 2. Suppose -3 = -5*s + 2. What is the remainder when s is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 4 - 3 - 8*n**2 - n**3 - 2*n. Let x(a) = a**2 + a - 5. Let j be x(0). Let w be c(j). Solve -z + w = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784156 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = o - 9, -5*u - 3*o + 5 = 0. Solve -v = -x + u, x - 4*v - 1 = 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271599 is divided by 3272.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 29*c = 69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 5*g + 6*g + 6*g. Let a be p(3). Suppose 64 + a = 4*v. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**3\/3 - 60*i**2 + 134*i + 388. Find the first derivative of c(x) wrt x.\nAnswer: -4*x - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1201, 2\/9, -5, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**30*j**(-9)\/((j**(-4)*j)\/j) assuming j is positive.\nAnswer: j**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyr when three letters picked without replacement from slsszlluyuysulyyrll?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -311 - -326. Let f(m) = -m**2 + 6*m - 2. What is the remainder when u is divided by f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1275 - 99.7725. Let t = 99.7 + s. Which is the closest to t? (a) -5 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 34*m + 38. Let h be b(-1). Put -3, h, 17, -1 in increasing order.\nAnswer: -3, -1, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*y - 18, -5*y - 9*k = -13*k + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42647846546099 less than -31?\nAnswer: -42647846546130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-50)*(-5)\/2. Let p be 2*1\/(4\/10). Which is the nearest to s? (a) p (b) 1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1428 + -296. List the prime factors of c.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1757*o = 1781*o - 3528. Solve -14*f - o = -35*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*(-21823)\/2983*(-1)\/(-1).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(-8 + -2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 + 3 + -64 + 58.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 31, 33, 31?\n\"Answer: -2*t**2 + 12*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(192) - 3*sqrt(192)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**4\/8 - a**3\/2 - 4*a**2. Determine r(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(sqrt(275) + -2 + 5)**2.\nAnswer: 60*sqrt(11) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z - 1. Let f be o(3). Let p = 3 - f. Calculate the remainder when 20 is divided by (-1)\/p - (-15)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 822*j**2 - 10*j + 4. Let u(d) = -757885*d**2 + 9225*d - 3690. What is -1845*l(s) - 2*u(s)?\nAnswer: -820*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 5 + -1)*3*(-60)\/(-72).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79.6129 and 0.1.\nAnswer: -7.96129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 301. Let z(s) = 135. Let k(i) = 6*b(i) - 13*z(i). Let y(w) = -w + 205. Give -9*k(l) + 2*y(l).\nAnswer: -2*l - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/7)*d**(-8))\/((d\/(d\/d**1))\/d*d**(-1\/3)) assuming d is positive.\nAnswer: d**(-170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*((-4)\/(-26))\/(366\/793)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23086055501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12782 minus -525?\nAnswer: -12257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27, -5615, 3, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m + 36 = 0. Let o(u) = -u**2 - 9*u - 5. Let x be o(-8). Suppose -12 = -x*h + m. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n**2*s + 3*n**2*t*x - n**2*t - n*t*x + 3*n*t - s*t - 6*s*x + 3*t*x wrt n.\nAnswer: -12*s + 6*t*x - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4738 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62505 and 13365?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-20) - (-847)\/4. Let r = u + -212. Let a be 4\/16*(-2)\/3. Is a > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -16115*h**2. Let w(d) = 5*d**2. Calculate n(w(p)).\nAnswer: -402875*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8165 and 6765519.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877 (base 14) to base 4.\nAnswer: 122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 4515 (c) 3\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/3 + 3*l**2 + 15987*l. Suppose -3 - 5 = -2*i. Suppose -i*s = -26 + 2. Let b(j) = -1. What is s*b(t) + y(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -16) + 30 + -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35374280 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/9*66\/726?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-2)*(-4)\/(-18)*6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 6) in base 9?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 30*d**2 + 42*d + 54. Let i(o) = 3*o - o**2 - 2*o + 0*o. Let z(n) = 4*n**2 + 2*n. Let s be z(-2). Let f(t) = s*i(t) + m(t). Factor f(w).\nAnswer: 2*(w + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f + 10. What is the third derivative of -3*n**6 + 4*n**6 + n**2 + 2*n**f wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -4, 13 in decreasing order.\nAnswer: 27, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7973491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:03 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*l**3\/13 + 40*l**2\/13 - 8*l\/13.\nAnswer: -2*l*(5*l - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -610169\/45 + 13561. Calculate the common denominator of l and (-1018)\/120 + 119\/35 + -4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let c(t) = t**2 + 34 + 13*t**2 - 23 + 2*t**2. Determine c(g(i)).\nAnswer: 64*i**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*m + 2, -3*m + 5*i - 12 = -0*m. Suppose 0 = 342*l - 356*l + 462. Which is bigger: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134539*-48.\nAnswer: -6457872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -521\/44 - -144\/11. Let i be (-46)\/(-192) - (-3)\/(-9). Let d = 73\/96 + i. Sort -5, d, c in increasing order.\nAnswer: -5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/4 - -1) + (-60)\/(-8). Suppose m*g + 56 = 66. Solve -14 = 4*k - g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 235.35 or 0?\nAnswer: 235.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3*m**3 - 43*d**3*m - 8*m**3 - 2 wrt d?\nAnswer: 3*d**2*m**3 - 129*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 168*j**3 + 23*j. Let q(s) = 28*s**3 + 4*s. Let o(g) = 4*g**2 + 19*g + 34. Let c be o(0). What is c*q(k) - 6*y(k)?\nAnswer: -56*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9 = -23. Suppose -2*k - 2 = j - 5, 3*k = 2*j + 15. Suppose 4 + 14 = k*o. Calculate the lowest common multiple of s and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((((l\/(l\/l**(-2\/21)*l))\/l*l)\/l)\/l)\/l)\/l**(-42) assuming l is positive.\nAnswer: l**(817\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4103 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19152599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*m - 248 = 220 + 102. Let j = -3 - -3. Suppose 3*d - 9 = -j*d. Solve -d*l - 10 = m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -6*v. Let z(r) = -r - 8*r + 11*r + 1 + r**v. Let j(k) = -k**3 + 4*k**2 + 5*k - 1. Let h be j(5). Determine z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - 125.2. Let t = w + -4.7. What is the biggest value in 2, 6, t, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/13, -1\/2, 1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1174 - -0.1874. Let y = 2.9 - -0.1. Let s = 23.7 + -24. Which is the second biggest value? (a) y (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 2\/2) + 23. Suppose 23*z - 15*z = 16. Let k be (-3 + z)\/(o\/(-6)). Which is the nearest to k? (a) -0.5 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z - 866. Calculate p(-26).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2745169, 2745141, 2745075, 2744953, 2744757, 2744469?\nAnswer: 2744071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (0 - -3) + -2. Let t(x) = 3*x**2 - 7*x + 3. Let b(v) be the second derivative of v**4\/12 - v**3\/2 + v**2\/2 - 2*v. Determine s*t(z) - 5*b(z).\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 8*v**2 - 2*v**2 + 2*v**2 + 0*v**2 + 0*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 34.3. Let y = 34.00000065 - r. Round y to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 3*u - 2. Let f be t(6). Suppose 0 = -f*z + 22*z - 8166. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440 - 217. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2, -0.26, 238, -0.5 in ascending order.\nAnswer: -4, -2, -0.5, -0.26, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.96977 to two decimal places.\nAnswer: 8.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by -1.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.0141495.\nAnswer: 0.0141495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14159*n**2 + 14103*n**2 + 22 + 56)*(0 - n + 0 + 2 - 2 + n + (4 + 2 - 5)*(1 - 1 - 2*n)) as g*n**3 + d*n + a + x*n**2 and give g.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1*sqrt(171)*-5)\/(sqrt(99)\/(sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1212 (b) -26 (c) 3 (d) 2\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 8*j - 9. Calculate r(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2870, -2, 2, -3, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -2870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.7. Which is the nearest to 2? (a) -0.4 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-145.\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*c**2\/11 - 8*c\/11 = 0 for c.\nAnswer: 0, 4\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 + 54981*a - 439784 = 0.\nAnswer: 8, 54973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.3, 1\/249, -0.9, 2\/3, 29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5100 divided by -1020?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = t - 4*c + 3*c, 491 = 2*t + c. Suppose -5*i + 3*v = -t, -3*v = -2*i - 4*v + 106. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 96 = 8*h, -8*h + 8*h = 2*y - 3*h - 53 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 345258.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5497714 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (1 - 116\/44). Which is the biggest value? (a) -5 (b) 4 (c) 0.1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 2, b: 4, e: 1, m: 9}. Give prob of sequence bmce.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 20 = -5*q, -44*k + 5*q = -47*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.68921082 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*s + 2244 - 2074 + 4858 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1742 (base 10) to base 9\nAnswer: -2345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*l = -5*v + 328, 320 = 3*v + 4*l. What is the remainder when v is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*d**4 + 7*d**3 - 37*d + 6 wrt d.\nAnswer: -504*d**2 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.00438 + -39298\nAnswer: -39297.99562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31808, -31533, -31258?\n\"Answer: 275*t - 32083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 5*o + 2. Suppose -t - 4*y = -2, -4*t + 23 = 2*y - y. Suppose -2*z + 4*z = t. Let v be x(z). Solve g = 4*m - 6 - 7, 5*m = -g + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12752, 12767, 12822, 12941, 13148?\nAnswer: 13467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 314 + -299. Suppose -4*z + n = -z. Solve d - z*d + j + 18 = 0, 0 = -5*d - 4*j + 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128.01 + 124.01. Which is the biggest value? (a) 1 (b) z (c) 0.1 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (2 - 0)*-1. Let x be (14 + 0)*2\/f. Let q be -1 - x\/(147\/30). Sort 1, 2, q in descending order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obkbbkooowjbooow. What is prob of picking 2 o, 1 k, and 1 b?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/6 + 4*q**3\/3 + 4*q**2 - 4*q. Let a(n) = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - 141 + 49 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*g = 16, 174*g - 2 = 172*g. Let w(t) = t**2 - 16*t - 33. Let v be w(18). Factor -4\/11*a**v + 0 + 2\/11*a**d + 2\/11*a**2 + 0*a.\nAnswer: 2*a**2*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.9854g in nanograms?\nAnswer: 22985400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -14.3, -452.79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k = -18*k + 664 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:32 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 + 0.58. Let r = w + 0.16. Which is the second biggest value? (a) -0.3 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 7. Determine b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 47 - 46)*(6*p - 5 + 5)*(0 + 0 - 1).\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = x - 3*x - 5, 0 = -z + 4*x + 25. What is the units digit of z + (-18972)\/(-42) - (-2)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1541, -1503, -1453, -1391, -1317?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 - m**4\/4 + 2*m**3\/3 + m**2\/2 - 4*m. What is the units digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -217 + 216. Let x be (-6)\/(-15) + (-282)\/5. Is n\/(-3)*3 - x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/1260*(-29973)\/(-412) + 1\/15?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6*(-2 - 12\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017814878 to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741185079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -53?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 4.024465817.\nAnswer: -3.524465817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1296 - 918. What are the prime factors of (1 - -4)*i\/5?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*r**4 + 17*a*r**3 + a*r**2 + 1496*a wrt r.\nAnswer: -12*a*r**3 + 51*a*r**2 + 2*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 521*n - 3997*n.\nAnswer: -3476*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 611*r + 9841. Let l be c(-16). Solve 0 = l*p - 173 + 628 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -33, -4, -6, 103, -5 in ascending order.\nAnswer: -33, -6, -5, -4, -3, -2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 15*z - 8*z + 7*z - z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*g + 4036 = 0, y + 0*g - 999 = 2*g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4636, -18306, -40992, -72688, -113388, -163086?\nAnswer: -221776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 47 + -13 + 23 + -1 - -11?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*g**2 - 126*g**2 + 3*g - 8*g + 5*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 875*s**4 + 371*s**3 + 0 - 2*s**2 - 1 + 434*s**4 + 440*s**4 in the form r*s**3 + y*s**2 + h*s**4 + o + g*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1224495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 3)\/(4 - 637\/161). Let i(q) = -19*q + 1. Let h be i(-2). Find the second derivative of m**4 - y*m + h*m - m**4 + 8*m**4 wrt m.\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120398 and 11840.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 - 35*x + 77. Calculate o(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*(-513)\/(-76)*4\/6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 829 + -827. Suppose -3 = 5*a + 7. What are the prime factors of 119 - ((-5)\/(-5) - a\/w)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-5)\/(40\/296). What is the derivative of -l - s**3 - s**3 + 22 wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 - -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + (-1 - 4 - 91) + -141 + 130?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Let q(y) = 5*y**2 - 8*y - 4. Let f(r) = -r**2 - 1. Let z(d) = 4*f(d) + q(d). Let o be z(10). What is the greatest common factor of o and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 452 + -199. Let i = n - 134. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -154. Solve -10 = 2*i - 4*g, i + 18 = -z*i + 3*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5129392 minutes?\nAnswer: 30776352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 33, -5, -4, -129?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -220. Suppose 3*f = -4*r + 1 + 114, 0 = 4*f + 2*r - g. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12652127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*i - 2*o - 10, 0 = -4*i + 5*o + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.629 + -9.629. What is the closest to 2\/7 in v, -2, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 388*u**5 + u**4 - 2*u**2 + 74?\nAnswer: 23280*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 10*t + 19. Let b be -1*(-3 - -2) + -12. Let z be a(b). Suppose z*f = 2*f + 48. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/6 + 511028*s\/3 + 130574808392\/3 = 0?\nAnswer: -511028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143627814 divided by -2.\nAnswer: 71813907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13395 and 1815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -548 - -543. Let l = -539 - -536. Which is the second biggest value? (a) j (b) -243 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/50 and -2\/276265.\nAnswer: 2762650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9677 - 23399 + 11780)*(-2*k - 7*k - 2*k) to the form p + w*k and give w.\nAnswer: 21362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c = -42*c + 5640. Suppose -6*x + c = 422. Solve -39*r + 41*r - x = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4704507 by 2.\nAnswer: -4704507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.4, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*t**5 + 4*t**3*w - 2*t**2*w - 2*w wrt t.\nAnswer: -480*t**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -30*m**2 + 9*m - 10. Let o(t) = -20*t**2 + 6*t - 7. What is -5*d(b) + 7*o(b)?\nAnswer: 10*b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*r - 2*c, 5310 = 4*r - 6*c + 5302 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*w - 15, 5*g + 37 = 5*w - 13. Let n be -2*(w - 444\/88). Which is the second biggest value? (a) -1\/3 (b) 3 (c) n (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737454.\nAnswer: 2, 3, 89, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -53*m - 218. Let f be y(-6). What is the highest common divisor of f and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1)\/(-5) + 180\/100. What is the third derivative of 10*k**6 + 432*k + k**h + k**2 - 208*k - 205*k wrt k?\nAnswer: 1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, c: 17}. Give prob of sequence cmc.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -7011b?\nAnswer: -70119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 + 8*t + 0*t - 5*t**4 - 2*t**3 + 0*t**3 as y*t + p*t**2 + l*t**3 + f*t**4 + j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -189.94 and -0.4.\nAnswer: 75.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.49085 and 0.72.\nAnswer: -13.313412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5023336 is divided by 112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1168480 divided by 6.\nAnswer: 584240\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55175.0485745 and -5.\nAnswer: -55180.0485745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46.137 or -9?\nAnswer: 46.137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2166 * -1282.\nAnswer: -2776812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -782990 by -1585.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + (-3 + 1 + 0)*(-3 + 0 + 5) - 1 + 0 + 3 - 24 + 10 - 4 - 1 + 3 - 1)*(z + 0*z + 0*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/3)*z)\/z)**38*(z**(-2\/3)*z)**49 assuming z is positive.\nAnswer: z**(239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-126)\/(-231)*22\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 682.2498 years?\nAnswer: 68.22498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47383 and 252?\nAnswer: 1705788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1555\/2 - 23393\/30. Calculate the common denominator of -64\/321 and k.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66504 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -4 + (3 - 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12, 3*k + 5*y - 4 = -0*k. Sort k, -1, 0.5 in descending order.\nAnswer: k, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - 2*h**3 - 3*h**2 + h + 1. Let l = 7 - 13. Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*j - 16942 = 42858 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 12*m + 61. Differentiate -3*s**3 - 2403 + 2442 - m*s**4 - 7*s**4 with respect to s.\nAnswer: -80*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1043390\/331 at least -3151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 21, 861 in decreasing order.\nAnswer: 861, 21, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b**2 - 35 + 36 + 0*b**2 - 13*b**2 to w*b + c*b**2 + k and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013341725 rounded to four dps?\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-five halves of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(175) - (-1 + sqrt(175))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15336872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 42.94. Which is the nearest to 1\/4? (a) v (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (376\/56 + -7)\/((-8)\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1908)\/(-153) - (3 + (270\/10)\/3). Find n, given that -b*n - 4\/17*n**2 + 16\/17 + 2\/17*n**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/60 - 29*g**4\/24 + 17*g**3\/6 - 2*g**2 - 3. What is the remainder when w(-19) is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2. Let b(x) be the third derivative of 0 + 0*x + 1\/60*x**5 + 0*x**3 + 0*x**4 + x**2. Give d(b(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(4\/5)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 293\/(-4) + (-6)\/(-24) + -1. Let n = p - -75. Suppose w - 3*j + 9 + 0 = 0, 4*j + 4 = 4*w. What is the smallest common multiple of n and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/27*(-135)\/90*(-9)\/(-30).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.823222ml in litres?\nAnswer: 0.009823222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7356*7.7.\nAnswer: 56641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 2*x + 4*x + (2*x + 0*x - 3*x)*(3 + 1 - 3) + x - 2*x + 6*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13846599?\nAnswer: 3, 13, 103, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - y**4 - y**3 - y**4 + 0*y**4 + 2*y**2 to the form b*y**2 + w + x*y**3 + l*y + t*y**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2\/(-2)*2. Suppose -w*p = 2 + 6. Sort p, -5, 5.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1762*(39\/(-12) + 3)*2.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 1246848*l\/5.\nAnswer: -3*l*(l - 415616)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842835 by 280945.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -27. Let b = w + 175.5. Sort 1, b, 2, 0.3 in increasing order.\nAnswer: 0.3, b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 - 98\/(-70)*-5. Let v = -0.3 - -0.4. Which is the biggest value? (a) v (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185186166562219.4 + 3.\nAnswer: -185186166562216.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4264)\/39 + (-8)\/(-6). Let r = 96 - l. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 76. What is the fourth smallest value in -2, 3\/14, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -140*r + 3860. What is the tens digit of g(-70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n*n**(-23))*n)**(-2\/35))**(14\/5) assuming n is positive.\nAnswer: n**(-88\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let c be (-30)\/(-9) + 4\/6. Suppose 4*s + 2*z - 13 + 3 = 0, 4*s - c*z - 4 = 0. Let q(w) = 2*w**2 - w**s - 2*w**2 - 2*w**2. Determine k(q(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79709621 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 98\/2517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36543?\nAnswer: 3, 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4409*t**3 - 27*t**2 + 89*t**2 - 4411*t**3 - 24*t**2 - 18*t**2 - 20*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4542749.13 rounded to the nearest 100?\nAnswer: -4542700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 412518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -25*h + 91. Let b be v(-22). What is the units digit of (b - 2) + -6 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001515905 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10335 + 3970. List the prime factors of x.\nAnswer: 5, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 21304?\nAnswer: 21304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61160 is divided by 61153.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 104. Suppose 4*u = -g*u + 5*o + 3615, 0 = -2*u + 4*o + 1812. Suppose 3*j = -2*j + u. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(432)*-1 + sqrt(2187)*1.\nAnswer: 2 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -494.002 and -3?\nAnswer: 491.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1 - -2) - (1 + 2). Is 1361*(5 - (v + (-8)\/(-1))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-3)\/327)*3. Let x = o - -1023\/1526. Calculate the common denominator of 49*(2\/(-40) + 0) and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 1, y: 2}. What is prob of sequence smm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109462426 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41134 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 9:32 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-476)\/80 + 6)\/(82\/(-82)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*h - 874, -465 = -44*x + 43*x - 3*h. Solve 0 = -73*w + 147*w - x for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 220. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)*u*u**(-3\/5))\/((((u*u**8\/u)\/u)\/u)\/u*(u*u*u\/(u\/u**(-2\/21))*u)\/u) assuming u is positive.\nAnswer: u**(-1418\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 87. What is the second derivative of -5*p + 6*p**n + 166 + p - 85 - 85 + 2*p**2 wrt p?\nAnswer: 36*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s**2. Let v(z) = -2 - 4*z**2 + 3 + 2*z**3 + 2 - 4 + z. Determine 4*m(t) - v(t).\nAnswer: 2*t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 - (-28 - -18))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*d - 56*d + 87 + 49 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(27*p**2 + 9*p**2 + 19*p**2) + 0 - 2*p**2 + 0 in the form u*p + l*p**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20626816577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*v - 30, -355*h + 48 = -7*v - 353*h for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3135 and 13\/52800.\nAnswer: 1003200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 3. Let m be v(-3). Let w be (-1)\/m - 752\/24. What is the remainder when 28 is divided by (-3)\/9 + w\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 42595361?\nAnswer: -17038144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7150 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: Let n(r) = r**2 - r - 1. Let d be n(1). Let f be 960\/2*(d + 2). Suppose 2*x = -2*m + f, 4*x = -2*m + 5*x + 468. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 - m - 4. Let a be r(-7). Let b(x) = -x**3 - x**2 + x + 4. Let q be b(0). Solve 2*i - a = -i - 3*f, 0 = 5*i + q*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:18 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1951\/223 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5\/398, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 11}. Give prob of sequence gppg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*32\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11151)\/(-14))\/(9\/18)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 4*m**2 + 2*m**2)*(2*m + 4 - 4) + (3*m + 3*m - 4*m)*(2*m**2 - 2*m**2 - 2*m**2) + 25*m + 3*m**3 - 25*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 7, p: 5, m: 3}. Give prob of picking 1 n, 1 p, and 1 m.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 45505404?\nAnswer: 1\/11376351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/3 - 2672*s**4\/3 + 565395*s**3 + 40046766*s**2 - 84033504*s - 123513984 = 0. What is s?\nAnswer: -66, -1, 3, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -46. Find the second derivative of 23*p + 9*p**5 - d*p**5 + 11*p wrt p.\nAnswer: -440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 46 = 8*v. Let y be (v + (-6 - -7))\/((-5)\/(-60)). Let n = -9 + 17. What is the highest common divisor of y and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**8*p\/((p**7*p)\/p))\/(p*p\/p**2)**(-2\/31) assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 15 = -5*z. Solve 3 - 14 = -z*g - 2*u, 0 = -g + u - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227 * 130.24.\nAnswer: -29564.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 20. Suppose -2*q + 48 = 4*a, -l*a + 15 = q - 12. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -70.96. Is -2 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g - 47*g - 10 = 0. Suppose -g*y = -y. Suppose 3*t - 336 - 93 = y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*1)**2 + 4 - ((sqrt(11) - (sqrt(704)*-2 - sqrt(11))) + (sqrt(44) + sqrt(11))*-1) - (1 + (sqrt(121) - -2*sqrt(121)*-2)\/(4*sqrt(44))).\nAnswer: -117*sqrt(11)\/8 + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*i - 3*i**2 + i**2 + i**2 + 3*i**2.\nAnswer: 2*i**2 - 504*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 2 = -27*x. Solve -w = -3*l + 2, -2*w - 2*w = -5*l + x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.8 - 69. Which is the smallest value? (a) 0.1 (b) -4 (c) 5\/6 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 1\/4 (c) -1\/2 (d) 2 (e) -632\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 205+-56063.229\nAnswer: -55858.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3088*c**2 - 37029*c + 339. Determine j(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8823 and 59001996.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, 2\/3, -7, -0.2, 20\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -518160 bigger than -518155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3108\/(-10360)*10\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4414 is divided by 729.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from rfrrrrfrrrrrrrrrrr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - 0 - (-6 + 12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -38 in decreasing order.\nAnswer: -5, -8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3299 + 3301. What is the second smallest value in x, -10, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 52*j**3 + 5*j**2 + 173*j - 31. Let u(x) = 13*x**3 + x**2 + 43*x - 7. What is -2*m(i) + 9*u(i)?\nAnswer: 13*i**3 - i**2 + 41*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1802 (b) -0.2 (c) -1\/4 (d) 5 (e) -1\/28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2340, 4680, 7020?\nAnswer: 9360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f - 4*f)*(-f + 4*f + 0*f)*(f + 1 - 1).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**4)\/(q\/(q*q*(q*q**0)\/q*q))**(-2\/59)*(((((q*q*q**3)\/q)\/q)\/q*q*q*q)\/q*q**0*q)**43 assuming q is positive.\nAnswer: q**(12209\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = l + 31, 2179*u - 2174*u - 145 = 5*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 303*p**4 - 157 wrt p.\nAnswer: 1212*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from raaaraww.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-450)\/(-175))\/((-6)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6630743 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q*q\/(q\/(q**(1\/8)*q*q))*q**(-1)\/q**(-5))**(-31\/5) assuming q is positive.\nAnswer: q**(-2759\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 6:47 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 60 = -5*y. Suppose 4*r + 3*h - y = -h, 2*h - 8 = -3*r. Solve -r*b = b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*k - 3*p, -4*k + 5*p - 2 - 4 = 0. Let j be (-20)\/(-15)*(-2)\/5484*-27. Let d = -872\/3199 - j. What is the biggest value in 1\/2, k, d, 1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374747825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51436937?\nAnswer: 51436937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.2 - -15. Let h = 10 + -5. Sort 0.049, h, w.\nAnswer: w, 0.049, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -163869520 and -3.\nAnswer: 491608560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j + 3. Let t be (-48)\/28 + (-8)\/28. Let s = 4.08 - 0.08. Which is the third biggest value? (a) s (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 28 + -6 - (5 + 70 + 32).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(1573) + 0)*-6.\nAnswer: -66*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.0052 hours in minutes?\nAnswer: 15180.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.95 - -18. Let u = -0.05 + n. Let f = 2.81 - -0.19. What is the third smallest value in f, 0.3, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 176, 13542, -14 in increasing order.\nAnswer: -14, 1, 176, 13542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 183 = 21*v, -5*v - 5*b + 88 = -68 + 31 - 40 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3.8, 1.45 in descending order.\nAnswer: 5, 1.45, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1026190 and 559740.\nAnswer: 6157140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2, -0.009, -1\/10, 2.2, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {w: 3, k: 1, h: 1, f: 2, l: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 4. Let f be j(2). Let i be f + 5 - (-2 - -5 - 3). Sort -2, i, -4, 5 in descending order.\nAnswer: 5, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 77*z + 5022 = -20*z. What is the highest common factor of z and 24138?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbjjbhebh. Give prob of picking 2 h and 1 b.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2425*n - 11244 = 16914 + 44592 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 108.\nAnswer: -7\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f + f**3 - 4*f + (-4*f**2 + 0*f**2 + 2*f**2)*(-2 + f + 2))*(8 - 7 + 17) to the form p*f + g*f**2 + w*f**3 + t and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3233302*o - 7041083 wrt o?\nAnswer: -3233302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {y: 9, x: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + 3*k**2 + k**2 - 2*k**2 - 5*k to p + n*k + s*k**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 - 22 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 4, -3.8, -1886, 1\/2.\nAnswer: -1886, -3.8, -3, 0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272067839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11921.\nAnswer: 7, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 788903 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 9:54 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 124\/24 - (-3)\/(-18). Suppose -5*t + 19 = 4*w - 6, t - o = -4*w. Suppose w = 12*x - 89 - 547. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 481886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15402510, 30805002, 46207494, 61609986, 77012478, 92414970?\nAnswer: 107817462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1388.371505 - 1388.4. What is v rounded to 3 decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111342 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 36*b - 42. Let m(x) = -37*x + 43. Let q(r) = 3*k(r) + 2*m(r). Is 13 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 204, 261, 262, 189?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 0.02\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*y - 27*y - y**2 + 3 - 5 - 5*y**2 + 4*y**2 in the form v*y + n*y**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 42448?\nAnswer: 1061200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, 3, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 12)*(-2*j**3 + 3*j**3 - 4*j**3 - 5*j**3 + 3*j**3 + j**3 + (-j**2 + j - j)*(-5*j + 3*j + 4*j)).\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*x**2 - x**4 - 37*x**2 + x - 6*x + 1 + 8 - 2*x as u + r*x**4 + w*x**3 + y*x + b*x**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**2 - 2. Let j(l) = 7*l**2 + l - 2. Let x be 8 - (3 + -12)\/(-3). Let g(o) = x*j(o) - 6*i(o). Give g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:31 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*c + 5*c. Let i be (-2)\/(c\/3 - -4). Let d be (16 - -1) + (-4)\/(-1) + i. Solve -5*v - d = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 9*b + 4. Let t be a(6). Suppose 0 = 5*w - 107 - t. Calculate the greatest common factor of w and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 2, n: 11, e: 5}. Give prob of picking 1 e and 1 b.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/2064 and -47\/72498.\nAnswer: 579984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 2*n**7\/35 + 27*n**6\/40 + 53*n**5\/20 + 21*n**4\/8 - 9*n**3\/2 + 264*n**2. Suppose x(k) = 0. Calculate k.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-2)*(-16)\/(-20). Let g = x - 14. Let z = 25 + g. Calculate the greatest common factor of 34 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 20\/7*n + 2\/7*n**2 + 50\/7 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.104, -30\/13, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/(-5))\/(143\/1430)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 1512, 3427, 6086, 9501, 13684, 18647, 24402?\nAnswer: 30961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r**2 - 12*r + 7. Let t be x(5). Let o = -135 + t. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -4310?\nAnswer: -17240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -488531*f + 159. Let r be p(-11). Round r to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -260 + 754 - 246 - 265 + 2*f. Let a(c) = -2*c. What is a(p(j))?\nAnswer: -4*j + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94942944 to the nearest integer?\nAnswer: 9744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 3, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 2*f - 4. Let q = -69 - -73. Let i(j) = -j**2 - j. Let t(o) = 4*o**2 + 4*o + 3. Let h(d) = -2*i(d) - t(d). Give q*h(g) - 3*x(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 10. Let v be f(7). Is (v - 4) + (-2 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 1 + (-2 + 1 - 1)*(1 - 2 + 3) + 2 + 0 - 1 + 2 - 1 + 0 + 2 + 0 - 3)*(-z + 2*z - 3*z)*(0 + 0 + 6) to the form n*z + u and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48123397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -21 - (-209 + 168)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1704, 1703, 1702, 1701?\n\"Answer: -y + 1705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-6))\/((-43)\/(-344)))\/((-18)\/135*145).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (657*v + 557*v + 2 - 200*v)*(-3*v**3 + 0*v**3 + 5*v**3).\nAnswer: 2028*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -157202281670 rounded to the nearest 1000000?\nAnswer: -157202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*b**3 + 3\/4*b**4 + 15\/4*b + 0 + 33\/4*b**2.\nAnswer: 3*b*(b + 1)**2*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009933 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 14*s**4 + 3*s**3 - 12*s**2 - 3*s + 2. Suppose -5*p + 0 - 22 = -k, 2*k + p = 0. Let w(v) = -v**4 - 1. Let y(l) = k*w(l) + r(l). Factor y(u).\nAnswer: 3*u*(u - 1)*(u + 1)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from fffiiififfffiifi?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45390 and 513264.\nAnswer: 228402480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 3*m**6\/10 - 11*m**4\/4 - 2*m. Find the third derivative of u(a) wrt a.\nAnswer: 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2992*f**5 - 19*f - 5 + 7*f - 58*f**2 + 5 - 2998*f**5 - 78*f**3 - 38*f**4 = 0.\nAnswer: -3, -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 73 * -0.2.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 + 23*v. Let k be a(7). Suppose 0 = -13*b + k - 1931. Is -107 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 107*v + 183. Let q be w(27). What is the greatest common factor of 598 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 5*y - y + 600 - 609 + y**3 in the form z + h*y**3 + q*y**2 + f*y and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z + 2*v - 7*v, -5*z + v = -13. Let g(x) = x**2 + 1. Let y = 57 + -47. What is the least common multiple of y and g(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*z - 65 - 19*z - 41*z - 37*z + 0 as q*z + u and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 45. Suppose -5*d - 5*h - 12 + 57 = 0, -n = -2*d - 5*h. Suppose -4*c + 4*l = -12 - d, -4*l = 5*c - 11. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -371 - -370.8. Let m = -5 - -4.9. Suppose -3 = -4*s + 1. Put s, m, o in ascending order.\nAnswer: o, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31.029403 and 0.2.\nAnswer: 31.229403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 119748.7 decades?\nAnswer: 14369844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-20))\/(((-2)\/(-12))\/((-10)\/(-24))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*sqrt(143)*2)\/(-4*sqrt(11)*-4))*-1.\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -2.1. Let i = s + -1.9. Which is bigger: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 4*m + 1500. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 160 - -217?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 33. Suppose -3*p = -3*z - 6, -m*z - 11 = -4*p + z. Suppose p*v + 215 = 10*v. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547*m - 43920 = 1684*m + 2059*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 = 4*f + 53. Suppose f = 5*i - y, 0 = 2*i - 5*y - 54. Let z = i - 20. Solve 4*b + 22 = 3*q - b, 0 = z*q + 2*b + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 257*w**3 + w**2 - 7*w + 5. Let o be 10\/(-4) + (-70)\/(-20). What are the prime factors of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 747*l**2.\nAnswer: -747*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323\/134 - -6\/67. Which is the fourth biggest value? (a) -1\/5 (b) 2\/51 (c) 0 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2.4, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 416303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 17}. What is prob of picking 4 f?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 340013*k*r**4*v - 3*k*r**3*v + 65*k*v + 2*k - 1922*v - 1 wrt r?\nAnswer: 1360052*k*r**3*v - 9*k*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2754 is divided by 2686?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416413 is divided by 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 439 - 439 + 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*j**2 - 6*j**2 + 56*j**2)*(j + 2*j - j)*(0 + 0 - 1) in the form p + d*j**3 + x*j + h*j**2 and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101121221 + 1010020220?\nAnswer: -10021101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2 - -4) + (-3 - 0). Suppose 2 = q - u*j - 31, 2*q - 2*j = 66. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/7 (b) -17 (c) -41 (d) 5 (e) -0.64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/94 - 18\/(-12). Let l = g + 2271\/376. What is the common denominator of l and -22\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343676685 to the power of 1\/2, to the nearest integer?\nAnswer: 18539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*i**5 - i**2 + 8*i**2 + 9*i**2 wrt i.\nAnswer: 1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 2*u + 4, 6 = 3*u. Let g = t + 1. Let k(b) = -6*b - 28. Let j be k(-5). Is j > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -363*h**2 - 2*h - 1340?\nAnswer: -726*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 439*l**7\/105 + l**5\/60 - 2*l**3\/3 + 1175*l**2. Find the third derivative of r(u) wrt u.\nAnswer: 21072*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.07 + -0.07. Let w = -17 - -11. Let c = w + 7. What is the third biggest value in 1\/6, a, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 + 4548*x**3 - 36556*x**2 + 96108*x - 82440 = 0.\nAnswer: -1145, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 2*c - 4. Suppose 5*a = 6*a + 4. Let t = a - -1. Give d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvmrmmczzbrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:08 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 251 + -177. Calculate the greatest common factor of 148 and d.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175425 - -403238. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**31\/(v**11*v))\/((v\/v**(1\/8))\/(v*v**(-2\/15))))**(2\/3) assuming v is positive.\nAnswer: v**(2279\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/7)\/((78\/105)\/13). Suppose 7*u = 3*u. Sort u, -5, w.\nAnswer: -5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11012, -51, -8, 1, -2 in descending order.\nAnswer: 1, -2, -8, -51, -11012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mhmkmhkmmhqm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14441 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/60 - o**4\/12 + 47*o**3\/3 + o**2 - 16. Does 11 divide f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 10*q**2 - 19*q + 65. Let g be h(-12). Let x(z) = 14*z - 68. Let n be x(g). Are -4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 674 and 14132095?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4672745 and 14840?\nAnswer: 37381960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(1*sqrt(324) + sqrt(324))\/(sqrt(2) - sqrt(12)\/sqrt(6)*-6))**2.\nAnswer: 10368\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, 5 in decreasing order.\nAnswer: 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3 + 641524*h - 3933201 wrt h?\nAnswer: -3*h**2 + 641524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12\/(f*f**(9\/2)*f*f))**(-30) assuming f is positive.\nAnswer: f**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15.99+-0.5\nAnswer: -16.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.854 in -2\/21, -3\/5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*l + 10*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 12, 1\/99, 4, 1, 44\/9 in decreasing order.\nAnswer: 12, 44\/9, 4, 1, 0.02, 1\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4408 - -6434. What are the prime factors of v?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 + 2*y - 2. Let b = -9 + 9. Suppose b = -3*i - 3, 3*c - 4*i = -c + 24. List the prime factors of o(c).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + -18 - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000155698 to 6 dps.\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/2)\/(n*n**9*n)*n**(-4)*n*n*n*n*n**(-10) assuming n is positive.\nAnswer: n**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73208 and 416.\nAnswer: 3806816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -405349 - -2?\nAnswer: -405347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19990, -20062, -20256, -20632, -21250?\n\"Answer: -10*w**3 - w**2 + w - 19980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967646?\nAnswer: 2, 3, 327941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p - 1953 = 0. Suppose 5*v - 2*v = p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvutviduvuuviuitisst. What is prob of picking 2 u and 2 t?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.31 - -2.29. Let h = -30 + k. Let s = h + -2.6. Which is the smallest value? (a) s (b) -4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 8. Let r be -3 - (-1 + v - -1). Suppose 0*q - 3*q = -4*m - 22, -24 = -4*q + 4*m. Put 3, r, q in increasing order.\nAnswer: r, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -4174552327?\nAnswer: 4174552326.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f + 24 = -5*s, 0 = 5*s - 3*f + 17. Let l be -22 + 18 - -6*(-10)\/s. Put 0, 2, 1, l in descending order.\nAnswer: l, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133*3\/(-315) - -1\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70126444.\nAnswer: 2, 47, 113, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 28*n + 4\/3*n**2 = 0. Calculate n.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 10 - (6 + 6 - (14 + (3 - 9)))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*m**2 + 2203*m + 165.\nAnswer: (m + 55)*(40*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 178*u + 12645. Give f(-71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101110001?\nAnswer: -101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316969687 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (2 - 4) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + -2 + 39)*(1 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let g be (-10 + 4)*3\/p. Find the common denominator of -21\/8 and (-144)\/21*3\/g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10080\/457 less than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8144 (base 9) to base 15\nAnswer: -1b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 - d - 3. Let r be p(-7). Suppose -4*k - 2*u + 244 = 0, k - 4*u - r = -1. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 139, 2, -5, -183 in decreasing order.\nAnswer: 139, 4, 2, -3, -5, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106279 is divided by 11043.\nAnswer: 6892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.008\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 539 + 18*l**4 + 1002*l**2 + 2284*l**4 - 539 wrt l?\nAnswer: 55248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 25 = -s, 3*x + 5 = 4*x + 5*s. Let w(y) = -x*y - y - y. Let l(g) = g. Give l(w(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (sqrt(432) + -1 + -3 - (3 + sqrt(432)*2)) + 4)**2.\nAnswer: 96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 86*k + 78. Let h be p(-7). Let s = h + 529. Solve 5*l = -3*d - 5, 0*d + s = -5*l - 5*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/11 - 38\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(30)\/(sqrt(18)\/sqrt(3)) + sqrt(15)\/(2*sqrt(3)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3901059 = 328*o - 3947963 for o.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 1. Differentiate -f**o + 0 - 4 + 3*f**4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 41000006 = 5*a, -a - 4*w + w = 8200006. Round a to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 2*w + 3*w + (-5 - w + 5)*(3 + 0 - 2) + 0*w + 3*w - 5*w - 1 + w + 1.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -24*y - 5. Let a(q) = -1. Let s(r) = 4*a(r) - l(r). Give s(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -165792*u + 4. Let b(s) = 16*s. Calculate b(v(i)).\nAnswer: -2652672*i + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67658?\nAnswer: 2, 33829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -13) + 45 + -49\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 10. Let g = -6 + q. Let d be (-3)\/(-2) + 37\/g. What is the highest common factor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 16 = 6*z. Suppose -2264*t - 1024 - t**2 - z*t**2 + 2136*t = 0. Calculate t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-116)\/232)\/((-5)\/(-4)))\/((-2)\/(-60)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36.7, -3, -0.3, 2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 890 + -1340. Let q be (b\/21)\/(1\/(-7)). Calculate the common denominator of (-1)\/(-2) - q\/33 and -45\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 1, y: 1, t: 1, o: 1, d: 1}. Give prob of picking 1 d, 1 o, 1 v, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040725547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457255 = -1427*a + 578550 for a.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*6\/(-2304))\/(((-9)\/(-6))\/3).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.51 - -9.51. What is the smallest value in 5, 0.23, y, 3, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74146 and 275362.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiiihhh. What is prob of sequence ihth?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2993931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1 + -12))\/3. Factor u - 4\/11*p**2 + 2\/11*p + 2\/11*p**3.\nAnswer: 2*p*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 10:54 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*i - 5, -4*y = -i + y + 22. What is the remainder when 3\/7 + 4*(-179)\/(-28) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19136872 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2385502.\nAnswer: 7156506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-228)\/(-30) - 4\/(-10). Is 78\/d + (-1)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1253 + 75191\/60. Let l = g - -1\/15. Which is the nearest to l? (a) -2 (b) -4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p - 35. Let d be p*1*(-10)\/(-35). Suppose -6*f + 112 = -d*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 512.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58 - 1.04. Let i = -0.66 - v. Round i to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30300311 (base 4) to base 6.\nAnswer: -1042005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 41*g - 172. Does 35 divide s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 - 2 + 1 - 1 + (-1 - 3 + 2)*(-1 + 3 - 1) - 3 + 3 + 2)*(-73 + 73 - 2*k**4).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 14. Let k be ((-20)\/4 + (4 - 7))\/(-2). Let m(p) = 4*p - 148*p**2 - k*p + 146*p**2. Calculate m(q(b)).\nAnswer: -18*b**2 - 168*b - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l + 30 = 0. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t + t)*(92 + 5 + 33)*(-t**3 - 1 + 1) as z + i*t + b*t**3 + u*t**4 + m*t**2 and give u.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2 + -1)**2.\nAnswer: -32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-204)\/(-96))*(-4)\/2*-1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*a - a. Let d(g) = 2*g - 6. Let w be d(4). Suppose k + w*k = a. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12912 + 4?\nAnswer: -12908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*p = -5*y - 7, 0 = -y - 5*p + 17. Let b be (-1 + 0)\/(-4 - 1). What is the biggest value in 5\/2, b, y?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5239927 and 14399.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -485 and 0.02.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 10*i - 5. Let o be r(4). Let j(p) = 6 - o*p + 0 + 1. Let c be j(-7). Calculate the highest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*g*n*p - 9*a*g*n - 29*a*g*p - 889*a*g - 1093*a*n*p - a*n + a*p wrt p.\nAnswer: -a*g*n - 29*a*g - 1093*a*n + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 3. Let h be 13 - 2\/((-1)\/(-1)). Suppose -3*d + h = 2. What is the remainder when o(4) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + 6*h - 8. Let d be s(6). Suppose -5*i + 4*r + r = 280, i + d = 5*r. What is the common denominator of 2\/(i\/111) - 1 and -5\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*d + 2, -5*h = -5*d + 135. Let v = h + 23. Solve i = 3 - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 70*j + 6315. What is p(-91)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 + 4*d**3 - 10*d - 80. Determine i(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:42 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)*p)**(28\/5))**(-22)*(p*p\/(p*p*(p\/(p\/(p\/(p**(-1)\/p))))\/p*p*p*p))**(-15)*(p*p**1)**(-37) assuming p is positive.\nAnswer: p**(-613\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*g - 2*g = 74, f - 48 = 4*g. Suppose -32 = 4*a - 60. Calculate the lowest common multiple of a and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36109355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 z, and 1 a when four letters picked without replacement from {a: 1, z: 1, d: 7, k: 2, f: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:11 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 30, 62, 104, 156?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 27. Let v be n(7). Sort v, -5, -88 in descending order.\nAnswer: v, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84.98409ml?\nAnswer: 0.08498409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 7208 = -332. What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*f + 9 - 304*f + 110*f + 91*f - 9.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268*z**4 - 30*z**3 - z**2 - 13526*z wrt z?\nAnswer: 3216*z**2 - 180*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -59074659.\nAnswer: 4\/59074659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let n be g(-3). Let -9*p**2 - p + 0*p**5 + 4*p**3 - 2*p**5 + n*p**4 + 4 - p + p**2 = 0. What is p?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:56 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 32. Suppose t - 5*t + 100 = 0. Let q = s + t. Calculate the greatest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t + 2. Suppose 5*p - 12 = 1483. Let f = p - 301. Give i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 168 = -0*m. Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -38766 in ascending order.\nAnswer: -38766, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -1262.\nAnswer: -1262.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a*o**3 - 18043*a - 87667*o**3 + 6*o**2 wrt o.\nAnswer: -42*a - 526002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 55*p - 1141. Determine o(32).\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-408)\/84 - 6\/(-7))\/(-4210). Is 0 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 7*l**2 - 12*l + 11. Calculate v(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -5, 17, -739 in descending order.\nAnswer: 17, 11, 0, -5, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -44154 from 29.8.\nAnswer: 44183.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 17. Solve z = 2*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4645 - -7847. List the prime factors of r.\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1.5. Which is the nearest to 2? (a) y (b) -2\/13 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 3 + -4 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10023424)\/332809 + ((-4)\/34)\/(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341093283*t**2 + t - 232394 wrt t.\nAnswer: 682186566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 31*v - 2. Let z be d(2). Let q = -5 + z. Suppose 8*c - 25 = q. What is the remainder when 49 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1190 * -25.7129.\nAnswer: -30598.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 61\/7. Let s be 72\/702*6\/(-4). Which is the second biggest value? (a) 3 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003168 to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -31. Let x(q) = 3*q**2 + 6*q - 17. Let z(o) = -4*o**2 - 5*o + 18. Let r(h) = n*z(h) - 5*x(h). What is the units digit of r(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-6 - 4) - 1 - -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709 = -49*x + 415 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 9.7, -3, 0, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**2. Let o be q(1). Let j = o - -16. Find the second derivative of j*c - c + 3*c**4 - 7*c**4 wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8099999868 + 4.81. Round u to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4790*10\/(-1000) + 8\/80.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 11*j = 5*r - 252, -4*r = 3*j + 279. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50172375 by 16724125.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675892.7mg to micrograms.\nAnswer: 675892700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 966 + -959. Solve 0 = -3*b + m*b + 2*l + 18, -5*l - 6 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-30)\/(-75))\/(-2*3\/(-135)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8246, -5, -1, 10, -4 in descending order.\nAnswer: 10, -1, -4, -5, -8246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(6\/5)))**50)**(-43) assuming d is positive.\nAnswer: d**(-2580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.368941109 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -4 (c) 3 (d) -39 (e) -8\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-21) + (0 + 2)\/28. Let q = 635 - 631. Which is the nearest to 0.1? (a) q (b) x (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 12*c + 13. Let x be g(13). Suppose n - w - 10 = 0, x*n + w + 21 = 2*n. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(76)*2 + sqrt(76))*5)\/((sqrt(32)\/sqrt(2)*4)\/(sqrt(8)\/sqrt(2)*-3)).\nAnswer: -135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1731711, -1731711, -1731713, -1731717, -1731723?\n\"Answer: -x**2 + 3*x - 1731713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeppee. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/1634, -0.17, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011548 to seven decimal places.\nAnswer: 0.0001155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 710 - 3523\/5. Suppose -4*g + 3*g = -5. Which is greater: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94473 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*v - 276*v + 2418 = -976 - 4757 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.0586\nAnswer: -0.1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybysysssbysbbbbsbb. What is prob of sequence syb?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80897 is divided by 80621.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 39663 - 34695 = 216*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 64*g + 133. Calculate the remainder when y(35) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*v = -132*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 + 7*w - 6. Let u be z(5). Let b be (-19)\/(-4) - (-1)\/u. Solve -2 = 5*o - 7, -3*t - 4 = b*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:21 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 5*h**2 + h**2)*(4 - 2 + 0)*(-h - 2*h + 2*h)*(8 + 19 + 54) - 2*h - 3*h**3 + 2*h + (2 + 2*h - 2)*(-2*h**2 + 2*h**2 + 2*h**2).\nAnswer: -323*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1800, -3584, -5368?\nAnswer: -7152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -37 + -17 + (-1 + 1 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21140 (base 7) to base 11.\nAnswer: 3a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + 3.9. Let d be 0 - (9\/(-12) + 1). Which is the biggest value? (a) -3 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6413 and 13068?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 68*o - 64*o + 133*o, 0 = -4*h - 2*o + 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3354*q**3 - 1 + 1 - 535*q**3.\nAnswer: -3889*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 21*f**2 - 37*f - 3. Let r be i(19). Let y = r + -20. Let m = 3.4 + -3. Which is the nearest to 0.1? (a) -0.1 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1366 by -2.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + h + 2. Let j be v(4). Let i = 8 - j. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106313?\nAnswer: 41, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urlrourfruhruruhhu. What is prob of picking 1 f and 2 h?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119909 - -1494086.\nAnswer: 1374177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {q: 1, u: 4, g: 2, f: 3, e: 3, s: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 5196880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 5*v - 64. Sort -5, 2, 39, v in descending order.\nAnswer: 39, v, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, -160, -481, -930, -1507?\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1115009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03143 - -0.0596. Let k = 0.0258 - v. Round k to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 27 + -4 + 5. Let g be -7*(54\/7)\/(-3). Let l = j - g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278 - 233. Suppose -2*x = 5*k + 2 - 38, -3*k = -x + 18. What is the highest common factor of g and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -38, -56, -76, -98?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 6*q + 437. Let j be f(-18). Solve -3*a - 3 = -k, -j*a = 2*k - 0*k - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 + 2*a - 1. Let h(u) = 7*u**2 - u. Let t be h(-1). Suppose 48 = -t*k + 16. What is n(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/4 - 3*i**3\/4 + 87*i**2\/2 - 248*i + 408 = 0.\nAnswer: -17, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -28. Which is the third biggest value? (a) -1\/2 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n - 35. Let q = 3 + n. Let o be (34\/(-4) - q)*-8. What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4015 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q + 3. Let y(f) be the second derivative of 4*f**3\/3 - 2*f**2 + 17*f. Determine -6*y(p) - 7*z(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10 - (-28 - -38).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70104 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/7 + 255*d**3\/7 - 24903*d**2\/7 + 451329*d\/7 - 426684\/7 = 0. Calculate d.\nAnswer: -148, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (96\/704)\/((-24)\/3652)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36377883 is divided by 467?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -56756 in descending order.\nAnswer: 1, -2, -56756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59438 is divided by 29635.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 6. Let d be j(-7). Let c(w) = -8*w**3 + w**2 - 2*w + 1. Calculate c(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 992 = -35*h. Let k = 131 + h. Solve -5*u + 5*s = -25, -4*s + 2 = u + k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 4*w + 30. Suppose -2*f - w = 0, -26 = -4*z + 2*z + 2*f. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, -69, 1\/2, 4, -30 in descending order.\nAnswer: 4, 1\/2, -1\/2, -4, -30, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, 0.1, -1\/3, 4\/5, -0.5 in increasing order.\nAnswer: -0.5, -1\/3, -0.1, 0.1, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 17\/(-4))*26\/39*6. Solve 201 - 189 = j - u*z, -5*z = -2*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0863133l in millilitres?\nAnswer: 86.3133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 10 = -2*g. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -24454110?\nAnswer: -24454054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 8*v + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(108)*6)**2 + -4*(sqrt(605) - (sqrt(605) + -1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2639 minus -7524716?\nAnswer: 7522077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*l - 29*l + 28*l in the form c + i*l and give i.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*c + 569*c - 138 = 36*m, 2*m - 3 - 3 = -2*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**3 - 8*c**3 - 4*c**3)*(-c - c + c) + c**4 + 2*c**4 - 7*c**4 - 2 - 2*c**4 + 2 as k*c**4 + b + m*c**3 + s*c + j*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**5\/35 - 23*t**4\/28 - t**3\/21 + 23*t**2\/14 + 402. Factor w(h).\nAnswer: h*(h - 23)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 18. Let z be m(12). Let a(d) = 0*d**2 - 7 + 2*d**2 + z + 3*d. Let y be a(-4). What is the greatest common factor of y and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (485*q + 89*q**2 - 485*q)*(13*q + 134*q - 210*q - 256*q - 233*q).\nAnswer: -49128*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*w**2 + 5169462*w + 284131018 wrt w.\nAnswer: 80*w + 5169462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1350850 and -89\/540340.\nAnswer: 2701700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 3, 3, 1, -3, -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 740 - 796. Is 7637 - ((-51)\/21 - 24\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2780, -2757, -2726, -2693, -2664, -2645, -2642, -2661?\nAnswer: -2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33939.66 days to nanoseconds.\nAnswer: 2932386624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p - p)*(2 + 3 - 6)*(-6 + 4 - 4) as j + g*p and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340740 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 4*w**2 + w**2)*(52 + 46 - 24).\nAnswer: 296*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -278868 divided by -4\nAnswer: 69717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -164 and -4426\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 33*p**3 + 3*p**2 - 22*p + 45. Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 q when three letters picked without replacement from {q: 1, k: 2, g: 1, e: 2, z: 8, b: 1}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*u**2 + 12*u**2 - 50*u**2 + (2*u - 2*u + 2*u**2)*(18 - 23 + 28) - 3 - 3*u**2 + 3 as v*u + k + m*u**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2 + 226757*f*i + 11*f + 45449722*i wrt f.\nAnswer: -8*f + 226757*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/3*178\/(-4). Is (2\/(-2))\/(1\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2\/5, 127, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -17, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 59091 divided by 19697\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 3361.\nAnswer: -6\/3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*2*4. Let b = 1 - n. Let x(g) = g**2 + g - 1. Let i(q) = 4*q**2 + 4*q - 3. Calculate b*x(d) + i(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(-8) - -391*1.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0441 + -1.0109. Let a = -6.865 - u. Let i = a - 0.19. Put -2\/13, i, 0.4 in decreasing order.\nAnswer: 0.4, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 3*z + 44880 = -12*u, 5*u + 2*z - 74800 = 0. Suppose -16*h = -5*h - u. Suppose 2058 = 2*b - h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 + u**4\/24 + 7*u**3\/6 - 2*u**2 + 26*u. What is m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**4\/24 + w**3 - 19*w**2. Give m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/10 and 7\/29.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 17, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 2*o - 1. Let g(m) = -2*m + 3. Let b be g(3). Let s(n) = -1 + 4*n + 0*n + 2*n**2 + 3*n - 4*n. Suppose 11 - 5 = 3*i. What is b*x(c) + i*s(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*s - 19 - 28*s - 22*s - 14*s + 4*s.\nAnswer: -124*s - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 534, 576, 618, 660?\n\"Answer: 42*d + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 279.62? (a) -0.1 (b) -2 (c) -0.5 (d) -3\/2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 97*y**6\/6 - 248*y**5\/15 + 169*y**2 - 3. Find the third derivative of v(d) wrt d.\nAnswer: 11640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + s**2. Let k = 120 + -70. Let j = 59 - k. Suppose 11*w - 2*h = j*w, 5*w = h - 4. Determine u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4404 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7619.994191 - -7620. What is y rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -43*i - 251. Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2. Let i(a) be the first derivative of -1\/6*a**3 + 5*a + 3 + 0*a**2. Let b(k) be the first derivative of i(k). Calculate s(b(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6676064?\nAnswer: 2, 208627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 3.2. Which is the third biggest value? (a) 55 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011636 divided by 31?\nAnswer: -1011636\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -43 - 103. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*y + 4, 13 + 23 = 5*t - 4*y. Let j = t - 1. Suppose 0 = 3*n - 9, 0 = 2*k - 34*n + 37*n - 13. Solve k*h + 6 = -2*q + 4, q = j*h - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-429)\/(-11)*(13 + 669) a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566.0962l to millilitres.\nAnswer: 566096.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227059955*f**4 + 137213*f + 483?\nAnswer: 2724719460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 8 - 8. Suppose n = 4*i - 2*z - 640, 0 = -5*i + 2*i - z + 475. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27015 - 26599 = 1043*n - 1047*n for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 q when four letters picked without replacement from qoqoooooooqoooo?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*x**3\/6 - 268*x**2 + 1366*x\/3 + 8.\nAnswer: (x - 12)*(x - 2)*(115*x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -0.9 (b) 0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 3, k: 1}. What is prob of picking 1 w and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.6677 to zero dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 345558943\/232328 + -21\/58082. Let j = n - 1491. Calculate the common denominator of j and -25\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/7 + 81*v**2\/7 + 276*v\/7 = 0.\nAnswer: -23, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-34) + 108\/(-51). Let y(c) = 10*c**2 - 35*c - 19. Let m(t) = -3*t**2 + 11*t + 6. Let s(x) = z*y(x) - 7*m(x). What is s(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6123494 (base 10) to base 3\nAnswer: 102112002212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 8. Let k be t(-5). Let z = -12 + k. Suppose 0 = -6*y - z + 130. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.4 - -33. Sort -33, i, -0.2 in decreasing order.\nAnswer: -0.2, i, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 47*c**3 + 11*c**2 - 5*c - 3. Let n(w) = 16*w**3 + 4*w**2 - 2*w - 1. Let p = -5 + -3. Let i(k) = p*n(k) + 3*f(k). What is the tens digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 1)*(-1 + 4 + 1) + 2 - 1 + 1 + (1 - 1 + 2)*(4 - 3 + 1) - 2 + 5 - 4 + (-2 + 4 - 3)*(-1 + 1 - 3))*(-2*d - 5*d + 6*d - 1).\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/30 - 18 - 64\/132.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2967754 and -469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101838, 101856, 101852, 101814, 101730, 101588, 101376?\nAnswer: 101082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 174, 213, 278, 369?\n\"Answer: 13*k**2 + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3962857745 to the nearest integer?\nAnswer: 62951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27165035 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 6. Let d be 5\/3 + (-2)\/b. Let u be d - 3 - (2 + -6). Calculate the highest common divisor of 6 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t - 1. Let b(z) = -3*z**2 + 15*z. Let y(g) = b(g) - 5*j(g). Let d be y(-7). Let q = 20 + d. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = -18*k + 5*o - 23, 0 = 3*k - o + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558, 811, 1004, 1119, 1138, 1043, 816?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 48. Let w(l) be the first derivative of v*l + 0*l**2 + 2\/3*l**3 - 2. Find f, given that w(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + (sqrt(275)*2)**2 + 4 - (5 + 0 + sqrt(275) - sqrt(275)).\nAnswer: 5*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -3113.\nAnswer: -3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((17\/68)\/(((-220)\/32)\/(-11)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 3*b - 93 + 185 + 2*b**2 - 91 as l*b + p*b**2 + r*b**3 + h and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 3. Let p be o(3). Let g(y) = 2*y + 1. Let i be g(-1). Let f = p - i. What is the greatest common factor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 2\/5 (c) -81 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**8*m**(-6)\/m*(m\/(m*m*m\/m**(-7)))\/m**2*m**(-8)*m*m**(2\/9)*(m*(m*m**(-2\/19))\/m*m)\/(m\/(m\/(m*m*(m\/m**(-1\/7)*m)\/m*m*m))) assuming m is positive.\nAnswer: m**(-22774\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4687*h + 4684*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845719 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = 5*q + 4*f - 16 + 126, -5*q + 2*f + 77 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -421\/77 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 597826496 by -5056.\nAnswer: -118241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3485142020?\nAnswer: 2, 5, 109, 1598689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-35))\/(2\/610). Suppose 2*r - w = 16. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 854*o**2 - 90736*o - 91592.\nAnswer: -2*(o - 214)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 4)*(-1 + 0). Let l be ((0 + 0)\/(-1))\/y. Factor 0 + l*s + 2\/5*s**2.\nAnswer: 2*s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 16. Let j be (-22)\/(-5) - (-4)\/(-10). Find the second derivative of -3*v**5 + 2*v**5 - 3*v - j*v**c wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14588*w**3 - 14*w**2 - 339*w wrt w.\nAnswer: 87528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {d: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-137 - 51 - 149)*(0*y + 0*y + y) to the form z*y + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Let u be (6 - 3)\/99*d. Let m = u + 29\/66. What is the nearest to m in -4, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 r, and 1 h when four letters picked without replacement from {o: 1, h: 1, s: 2, r: 3, n: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -165*m**2 + 1147*m + 1372. Give c(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 84 = 53 - 191 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (129\/2)\/((-29)\/(-116))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**3\/3 + 1. Let x = 4 - 6. Let p(h) = h + 2. Let y(k) = 3*k + 7. Let t(g) = x*y(g) + 7*p(g). What is b(t(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -287\nAnswer: 143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/413 - 21817\/3717. Which is greater: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 8154 in descending order.\nAnswer: 8154, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 493, -2, -3, 5 in descending order.\nAnswer: 493, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57925 and 28924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.25 + 1.25. Let l = -11 + 13. Which is the biggest value? (a) -4 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*z = -43630, -3*u + 4*z + 26178 = -6*u. Let g = 244301\/28 + u. Let p = 12\/7 + g. Which is the closest to 3\/4? (a) 1 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*(u*u**(3\/4))\/u))\/u)**9)**42*(u**(-1\/2))**11*(u**(-1\/4)*u)**(2\/47) assuming u is positive.\nAnswer: u**(-98227\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/45*15\/6. Solve -j*g - g = 16, -17 = c + 3*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*w, -r - 4*r = -w + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.4 (c) 132 (d) 5 (e) -0.25 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 9947326*q - 49474647275138.\nAnswer: -(q + 9947326)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9840*q - 13246*q + 23075*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 3 - 10 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/12 - 71*k**3\/2 - 387*k**2\/2 - 193*k. Differentiate f(p) with respect to p.\nAnswer: -2*p - 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00115067092 to 7 dps.\nAnswer: 0.0011507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 3*i**8\/28 - i**5\/4 - 44*i**4\/3 + 128*i. Find the third derivative of s(w) wrt w.\nAnswer: 720*w**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**3 + 2*y**3 + y**3)*(474*y + 159*y - 75*y) - y**4 + 2*y**2 + y - y to a*y**4 + n + z*y + r*y**3 + h*y**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 457494372 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 23*n**2 - 5*n - 31. Let a be h(-23). Calculate the greatest common factor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t + 14. Let z be j(-6). Let c = 33 - -17. Let v = c + -34. Calculate the highest common factor of z and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.66.\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -2) + 2 + -3. Let d be 4\/(-16) - (-1)\/m. Solve -f + d*f - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y - 7*y - 10*y)*(-3 + 0 + 2)*(-3*y + 5*y - y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*u = -92, -q = q - 3*u - 164. Let i = 113 - q. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778\/25 at least as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/5 in -0.12, 3\/4, -1, -5, -2.6, -1\/33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-50)*(-4)\/((1 + 7)\/(-2))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 - -0.3. Let k = i - 9.44. What is k rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 - 113*n + 46. Let l be p(9). Let u be (20\/424)\/(1\/(-6)). Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.021 + -24552.\nAnswer: -24552.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + -2?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 1833872.\nAnswer: 12837104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 - 55 - 2*c + 47*c**3 + 110)*((0 + 1 + 1)*(-c + 2*c + c) - 2*c - 2*c - 2*c) as p*c**3 + l + a*c**2 + o*c**4 + h*c and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8553 + -8124. Solve -8*i = r - 397 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + -13. Let x = 54 + v. Which is the smallest value? (a) -1 (b) -9 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405810934 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 3*w**2 + 6*w - 8. Let t be s(4). Solve -2*b + 0*b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -393821, -787644, -1181467, -1575290, -1969113, -2362936?\n\"Answer: -393823*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*g + 10*g**3 - 62*g + 0 + 0 - g**3 + (-2*g**2 + 7*g**2 - 3*g**2)*(0 - g + 0) - 4*g + 4*g + 2*g**3)*(1 - 1 - 2*g).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 111, -220, -1117, -2862, -5737, -10024, -16005?\n\"Answer: -47*m**3 - m**2 + m + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20374\/11 + -1852. Let l = 0.047 - 5.047. Sort -1, 2, g, l in descending order.\nAnswer: 2, g, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300044739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12540467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 1 + 12 + 2 + -32 + (133 - 0).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let c(i) = -5. Let b(f) = -f**2 - 5*f - 1. Let n be b(-5). Let j(y) = n*c(y) + a(y). Let w be 1\/(-5) - 62\/(-10). Give j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -804522, -1609138, -2413754?\n\"Answer: -804616*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320772, -641487, -962202, -1282917?\nAnswer: -1603632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 2*p**2 - 1. Let d be x(1). Let h = 6 + -4. Suppose -h*m = d*m - 176. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 2, 31, 94, 203, 370?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*k**4 + 267*k**3 + 129076*k?\nAnswer: 876*k**2 + 1602*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113.17 + -8.37. Let l = -399 - -285. Let a = o + l. Round a to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113033312 + 301?\nAnswer: 1113100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjjjcjccccttctcctc. What is prob of picking 3 j?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*60\/(-432)*-6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4017 + 4022. Let q = 12 + -4. Let o = 2 - -2. Which is the closest to -3? (a) q (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*u - 480 - 478, -r - 4*u + 957 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 19*k - 93 - 75 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 41360622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/7)*v**(3\/2)*v**(-1)\/v*(v\/v**(2\/17))\/v*v)**(-2\/15) assuming v is positive.\nAnswer: v**(-87\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 402*j**2 - 22*j + 58. Does 38 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 123 = 157. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3 + 6697660*k**2 + 123638373.\nAnswer: -3*k**2 + 13395320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u + 3. Let x be v(7). Let c = 16 + x. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-10))**10*((s**(-2\/27)\/s)\/s)\/(s*s**(-5\/2)\/s))**(2\/71) assuming s is positive.\nAnswer: s**(-4837\/1917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 3*d**2 - 5*d. Let l be 3\/9 + 26\/(-6). Let k be l\/(-10) - (-76)\/10. Let x(z) = -5*z**3 - 5*z**2 + 8*z. Determine k*o(a) + 5*x(a).\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-12) - 31\/124. Let q = -139\/77 + 23\/11. Which is the nearest to t? (a) -2 (b) 0.3 (c) q (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {u: 7, r: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyssyiyishyzsmimhsy. Give prob of picking 2 h, 1 z, and 1 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 181 = -4*s + 197, 4*s = t + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l + 21. Let w be (-2)\/l + (-32)\/14. Let a = w - -18. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -1\/7 (c) -70332 (d) -194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 446, 340, 156, -112, -470?\n\"Answer: -j**3 - 33*j**2 + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let c(w) = -5*w**2 - 17*w - 3. Let p(g) = -2*g**2 - 4*g - 2. Let y(j) = c(j) - 2*p(j). Calculate 2*m(r) + y(r).\nAnswer: -r**2 - 11*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -9 - (-7 - (-1 - (0 - -7))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 291?\nAnswer: -5.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6901448 divided by 424\nAnswer: 16277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -8, -3*g = 3*b - 2*b + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226436 = -4688*v - 167356 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4648 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9016 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 divided by -1568430?\nAnswer: -119\/522810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -41*p**4\/24 + p**3\/6 + 33*p**2. Let o(m) = 43*m. Let l(s) = 2*g(s) + 3*o(s). Let q(k) = -2*k**2. Determine l(q(b)).\nAnswer: -94*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 635 - 598. Let c(u) = -2*u**2 + 19. Calculate the remainder when r is divided by c(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39436.37 nanoseconds to milliseconds.\nAnswer: 0.03943637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 19*x + 7 - 8)*(2 - 4 + 3)*(2 + 2 - 5).\nAnswer: -14*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:06 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 126. Let u = -37 - b. Let f = u + 67. Calculate the remainder when f is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493921323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 3.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**5 + 4*q**4 - 2*q**3 - q. Let u(j) = 2*j - 3*j**3 - 2*j**2 - 4*j + 5*j**4 + 3*j**2 - j**5. Let v(b) = -3*h(b) + 2*u(b). Factor v(k).\nAnswer: k*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 56644 = 5*v - 0*r, -11324 = -v + 2*r. What are the prime factors of v?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/7))**(-16))**(-16) assuming x is positive.\nAnswer: x**(1024\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/7? (a) 5 (b) -0.2 (c) -25 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3434*x**3 + 27*x**2 - 2*x - 3. Let t(d) = -6870*d**3 - 45*d**2 + 3*d + 5. Calculate 5*o(v) + 3*t(v).\nAnswer: -3440*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 70876*n**2 + 13862852*n - 674173668.\nAnswer: -4*(n - 97)**2*(n + 17913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*s - 21. Solve -c = -3*x - 7, s = -0*x - 2*x - 2*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 - 32*d**2 - 1324*d - 1288 = 0.\nAnswer: -14, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 68*a - 511. Give x(60).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 26*v - 86. Let s(u) = -13*u + 44. Let q(r) = 3*j(r) + 5*s(r). Calculate the remainder when 209 is divided by q(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(550)\/sqrt(10) - sqrt(55)))\/((sqrt(5) + sqrt(40)\/sqrt(8))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -311904, -623815, -935752, -1247727, -1559752, -1871839, -2184000?\n\"Answer: -2*v**3 - v**2 - 311894*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/2772*(-20)\/(-50).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -19*g**3\/6 - 56*g. Let w(t) = 6*t**2 - 5. Let p(d) = -d**2 + 1. Let r(m) = 5*p(m) + w(m). What is r(o(i))?\nAnswer: 361*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 108*t.\nAnswer: 3*t*(t - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.013 (b) -6 (c) -3\/3557 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (2 - (4 - 3)). Let z(d) be the second derivative of -1\/36*d**4 + l + d + 0*d**3 + 0*d**2. Factor z(q).\nAnswer: -q**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -3\/2*d**2 + 7*d + 3. Find the first derivative of q(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -15*y - 13\/6*y**3 - 4*y**2 + 0. What is the first derivative of u(s) wrt s?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 5, z: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 876450 by 5.\nAnswer: 175290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*u - 35*u - 24, 7*s - u = -11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2. Let n(y) = -835*y. Give n(w(r)).\nAnswer: -2505*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 97*i**6\/120 + 16*i**3\/3 + 52*i**2. What is the first derivative of v(y) wrt y?\nAnswer: 291*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q**3)*(42*q - 195 + 195).\nAnswer: 42*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -831 and -0.4.\nAnswer: 332.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -73 and -1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/1080 + b**5\/270 - 16*b**2. What is s in w(s) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(390\/(-40)))\/(1\/(-21)*2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142 - -93 - 104) + 56?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -7*r + 629. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 10) in base 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 4, u: 5, g: 3, c: 1}. What is prob of sequence gw?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 8\/4 + 10. Let s(u) = u**3 - 7*u**2 - 5*u + 3. Give s(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 874 and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 2 j when four letters picked without replacement from {j: 2, k: 1, z: 1, n: 1, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 235077.9l?\nAnswer: 235077900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*((-2*s + 0*s + s)*(18*s + 8*s + 2*s) - 9*s**2 - 12*s**2 + 14*s**2).\nAnswer: 105*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38799863*y**4 - 2*y**2 - 3509472*y wrt y.\nAnswer: -931196712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = -2*x - 7*u, 3*x + 2*u = -9. Let s = 9 + x. Solve -5*y + 21 = -s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*o - 140 = -o, 3*r - 412 = 5*o. Suppose 0 = r*h - 133*h - 2622. Calculate the highest common factor of 46 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*i + 13 - 48, -97*c - 76*c - 5*i = -12*c + 790 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 23*p**2 + 48*p - 246. Calculate j(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 66.29\nAnswer: 19.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 8*b**2 - 10*b - 8. Let u be r(-9). List the prime factors of 1 - (-2 + u + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607\/3*(5 + (-2)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g*g\/(g\/(g**4*g)))\/(((g\/(g*g**0))\/g*g)\/(g*g**(3\/8))) assuming g is positive.\nAnswer: g**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 108380368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**(22\/3)*u*u**(-2\/21)*u*u**(-5) assuming u is positive.\nAnswer: u**(-527\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + 4. Let m be ((-6)\/(-10))\/(52\/260). Solve f*d + 13 = -m*d + 3*i, 0 = 3*d + 4*i + 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32725 + 44212 + 21227 = 713*v + 5474 for v.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 169 - 3724*w + 163 - 408 + 74 as l + r*w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, and 1 g when three letters picked without replacement from {g: 2, o: 1, s: 1, q: 1, z: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 38, 3, 0 in descending order.\nAnswer: 38, 23, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.648 + -27.6. Let k = -1.952 - o. What is the nearest to k in -2\/7, 5, -0.25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31960\/117 + -391\/234. Let r = z - -275. Determine p, given that -1\/3*p + 1\/6*p**3 - r*p**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 16) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d - 8 = 2*r, 2*d = -3*r + 8. Let v(l) be the third derivative of 0*l**3 + 1\/120*l**6 + 0*l + 0 + 0*l**d + 12*l**2 - 1\/60*l**5. Factor v(t).\nAnswer: t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (1 - 5))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/80 + 9\/(-15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1097, 1936, 2775?\nAnswer: 3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:22 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -211?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c*i**2*o**3 - 14093*c*i**2 + 16*i**2*o**3 - 54*i**2 + 4*o**3 - 3*o wrt c?\nAnswer: 3*i**2*o**3 - 14093*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 10 - (-6 - 6 - -18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 6*r + 18. Which is greater: 8\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 23. Let t be 56\/32 + 117\/(-12). Let k(r) = -r - 7. Let a(l) = t*k(l) - 3*j(l). Determine a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:03 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 2.9. Let n = l - -5. Which is the third biggest value? (a) -2\/5 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 60. Calculate b(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1219820, 2439640, 3659460, 4879280, 6099100, 7318920?\n\"Answer: 1219820*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*i - 3*z + 14 = 0, -z + 13 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000251078244 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -7, 34, 113, 242, 433, 698, 1049?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 10\/3*s**3 + 2 + s - s**2. Let a be j(-2). What is the highest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.17, 2\/5, 2\/3, 4 in descending order.\nAnswer: 10, 4, 2\/3, 2\/5, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147570 by 49190.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)*w*w**(1\/2)*w)\/((w*w**(3\/5))\/w**(-1\/4)) assuming w is positive.\nAnswer: w**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/20)\/((-143)\/((-143715)\/268))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6065 + 23666. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -395839\/24 - -16496. Calculate the common denominator of m and -5\/5992.\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 760*j + 350.\nAnswer: 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.7 - -18.7. Let n = -4 - -3.6. What is the closest to 2\/3 in f, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*p - 36 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1885 = 13*z - 18*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 + 57*i - 4. Let o(m) = 6*m**2 - 57*m + 5. Determine 7*d(a) + 6*o(a).\nAnswer: a**2 + 57*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -6. Let s be d\/(-5)*20\/(-6). Let t = -3 - s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 14. Let u be (-3)\/((-20)\/q - -1). Let c(h) = h**2 - 3*h + 7. Let y be c(u). Calculate the greatest common divisor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/(a\/(a\/(a\/(a*a**(1\/2)))))*a**(1\/3)\/(a\/a**3))\/((a**1\/a)\/a*a**(1\/3))**7 assuming a is positive.\nAnswer: a**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**2*q**3*t**2 + 2*i**2*q**3 - 5*i**2*q**2*t**3 - i**2*q*t**2 - 962222*i*q**3*t**3 - 9251*t**2 wrt t.\nAnswer: -30*i**2*q**2 - 5773332*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96284 = 4*r - 4*w, -5*r - 15*w + 120365 = -10*w. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, 9 in descending order.\nAnswer: 9, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*v - 3 - 7, 6 = -3*v. Let g(j) = -j + 2*j + j**3 + w*j - 1. Let y(q) = 2*q - 7*q - 8 - 4*q**3 + 2*q**3 - 13 - q**2 + 24. Give -3*g(b) - y(b).\nAnswer: -b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 19699206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151218094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 - -1.541145\nAnswer: -0.958855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1002 + 1001.9. Which is the closest to q? (a) 4 (b) -2 (c) -3\/8 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 6*u**2 + 16*u + 10. Let p be (-220)\/(-6) + 4\/(-6). Suppose 0 = -0*r + 3*r - p. What is the smallest common multiple of k(8) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.5. Let m = 83.9 + -84. Is m greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 61*y - 4921. Calculate the remainder when 670 is divided by q(84).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1179*v = -2*h - 1183*v + 2, -15*h + 15 = 2*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642737 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22664155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-2)\/(-8)*(-23)\/3220*8).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + k)*(8*k - 4 + 1 - 7*k).\nAnswer: 2*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t + 2. Let s(p) = -8*p - 1. What is -5*s(m) - 2*v(m)?\nAnswer: 10*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l + 716 = 4*q, -q + 4*l = -179. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91 and 28.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204932577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2531793 = 2*o, 2518*o + 3*p = 2522*o - 5063593. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(52)\/sqrt(4)*2 - (sqrt(26)\/sqrt(2) + -3))**2).\nAnswer: -6*sqrt(13) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j + 16. Let l be r(2). Suppose 8 = 2*t - 0. Let h = t + l. Solve h = 2*n - o + 1, -4*o + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 9) + (5 - (4 + 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g. Let v(b) = -12*b - 3. Let y(o) = -9*p(o) - v(o). What is y(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 23 = 5*a - 37, 4*a + 3*b - 48 = 0. Calculate the remainder when 47 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162814014?\nAnswer: 2, 3, 11, 822293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/20 + 3*l**4\/2 + 11*l**3\/2 - 10*l**2 - 111*l. What is the tens digit of a(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/36 + 31*w**3\/18 + 14*w**2 + 287*w - 1. Factor b(j).\nAnswer: (j + 3)*(j + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 115*y**3 - 6*y**2 + 5*y + 4. Let s be f(2). Suppose 30*o - 44*o = -s. What is the greatest common factor of 104 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17\/57 + 7\/19. Let p = 668.6 - 669. Which is the second biggest value? (a) -1 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (-7 - -20) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 25\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9892740 to the nearest one hundred thousand.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722773 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1212 * -0.17.\nAnswer: 206.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 41*n**2 - 23*n**2 + 1 - 5 + 4. Let w(u) = 54*u**2. Give j(w(b)).\nAnswer: 52488*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -3, -1, 0.00103, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6069.71 + -11542.3.\nAnswer: -5472.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - j + 20 = -4*p, 4*p + 3*j = -16. Let t be (0\/(-2))\/(4\/p). Let s = t + 24. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29650, -118658, -267004, -474688, -741710, -1068070, -1453768?\nAnswer: -1898804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -43. Calculate the remainder when 25 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/10 - k**5\/15 + k**4\/4 - k**3 - 2*k**2 + 77*k. Let o(b) = -25*b**3 - 9*b**2 + 13*b - 13. What is -13*d(c) + 6*o(c)?\nAnswer: 6*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h - 3. Let x be i(2). Let z(s) = 5 - 5 + 0 - s - 1. Let d be z(-2). Sort d, -1, x in increasing order.\nAnswer: x, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 3264.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -698.8906?\nAnswer: 698.5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12846 is divided by 3015.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 184 = 19 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 607295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 87. Put -0.3, -0.1, i, 27 in decreasing order.\nAnswer: 27, -0.1, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.133.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1\/2, -12, 9.17, 0.288?\nAnswer: 0.288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is (3\/198)\/((-12*(-4)\/36)\/4)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2522321 - 2516293 = 137*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*s + 30, -2*s = -3*g - 41868 + 41847 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-63))\/(2\/7))\/(17\/(-15))\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31900 and 2668.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 23 - 27. Suppose 6*u + 104 = q*u. Suppose 2*x = x + u. What is the greatest common factor of x and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i**3 - 5*i**3 + 3*i + 12*i**4 + i**3 - 14*i**4 + 14*i**2 in the form c*i**2 + n*i**4 + x*i**3 + j + s*i and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -481, -1593, -3751, -7303?\nAnswer: -12597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5442 = -286*g + 1136 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183495.1 milliseconds in weeks?\nAnswer: 0.00857059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 283390056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 32. Let v be ((-40)\/r)\/(5\/(-4)). Which is the biggest value? (a) 0.5 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -19*n + 17*n - 5*p, -3*n + p = -64. What is the second derivative of -36*o**2 - n*o + 13*o**2 + 12*o**2 - 38*o**2 - 32*o wrt o?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.19 - 55. Let o = -0.36 + l. Let y = 0.17 + o. What is the second smallest value in y, 1\/10, 14?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.603 rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 285*c - 288*c + 6. Let r(x) be the second derivative of -x**c + 2\/9*x**3 + 10*x + 0 - 1\/54*x**4. Let r(k) = 0. What is k?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29484 + 29634 = 6*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211148 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29309*t**3 + 171098*t.\nAnswer: 175854*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4085979\/40 - 551448\/5. Let r = -8128 - n. Calculate the common denominator of -89\/4 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50\/217 - 19613\/1302. Let c = 25217 - 302597\/12. Calculate the common denominator of c and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Suppose -17 = -b - s. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 10*t + 75 = -11*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*z + 0)*(2*z - 1 + 1) - 4*z**2 + 5*z**2 - 2*z**2)*(172 + 92*z**2 - 172).\nAnswer: -460*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -6*f + 460. Suppose f*z - 24 = 44*z. 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: Suppose -8*l = 4*d - 6*l - 31102, 2*l + 23330 = 3*d. Suppose -16*b + d = -0*b. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 + -7 + (-74 - -22)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369046 is divided by 667?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748901803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454.33 + 0.0545373?\nAnswer: -1454.2754627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p. Let z be g(1). Suppose 0*b + 50 = z*b. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 28*c - 23. What is n(-28)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 y when four letters picked without replacement from {x: 1, y: 4, q: 1, p: 3, b: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-61 - (-4 + (-8 - (-7 + 10))))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.3 * 199886\nAnswer: -1459167.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i**2 + 10*i - 4*i - 2*i - 33 + 7*i - i**3. Does 73 divide x(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 829 divided by -7.\nAnswer: -829\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16680800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31008.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7807810638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 16*t - 45. Suppose 20*c + 12*c = 366 + 242. Give f(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:34 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 5*w + 30. Let j(h) = -h**2 - 10*h - 7. Let b be j(-10). What is the third smallest value in b, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432 times 1845?\nAnswer: 11867040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {w: 1, h: 2, k: 1, u: 4, d: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onm when three letters picked without replacement from ooommonnnmnnmnm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23542, 46957, 70370, 93781, 117190?\nAnswer: 140597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -42\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/53 or -954?\nAnswer: 12\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -32. Let q = -37 - u. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535003 divided by -161.\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 189120 (base 10) to base 8\nAnswer: 561300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**2 + 20 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j = 134*j - 4595. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 4*x - 55*x.\nAnswer: -47*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*z + 24 = 0, -190*v + 14 = -194*v + z. Sort v, -16, 1, 2 in descending order.\nAnswer: 2, 1, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 202726 from 0.55.\nAnswer: -202725.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = -11*h - 116 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 18*t + 3*n + 6032, -3*n = 4*t - 12082. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118989 and 3?\nAnswer: 118989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*n + n**3 + 80*n - 2*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**3 - 12*s**2 - 5*s - 7. Let c(f) = 7*f**3 - 6*f**2 - 3*f - 4. Let b(i) = 6*a(i) - 11*c(i). Let k be b(6). Is 12 a factor of 364\/k + 2\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -0.2, 4428 in decreasing order.\nAnswer: 4428, 31, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {f: 3, n: 12, l: 3, d: 2}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 1 + 8*r in the form k + y*r and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + u - 3 + 1 - 2*u + 3*u**2. Let b(z) = -z**3 - 12*z**2 - 25*z - 14. Let v be b(-7). Let q be (-280)\/v - 1\/3. Determine a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + p + 9 - 40 = 0, 16 = 2*z + 4*p. What is the remainder when 33 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1947 and 30.\nAnswer: 58410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-8 + (3 - -14) + -86 - (16 - 24))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4788 (base 14) to base 11.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-12)*-4 + -1. Solve c + 23 - 2 = 5*r, -2*r = k*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 3*w**2 + 3*w + 52. Suppose g = 0, r + 5*g - 18 = 9. Calculate the remainder when y(0) is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -43*u - 16*u. Calculate the smallest common multiple of u and 138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 1:21 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 4*b. Let i(v) = v**2 + v. Let j(a) = -12*i(a) - 3*n(a). Let m(z) = -4*z**2. Determine j(m(h)).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100004696.\nAnswer: 2, 11, 1136417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -124631221 divided by -871547\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4169 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 38080782.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766 a factor of 282026892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*a - 142 = 0, -5*a - 76 + 432 = 3*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/29 (c) 2\/3 (d) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 978\/140 - 8\/28 and -99\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 3. Suppose -2*b - i = -4*b. Solve -2*j = 6, 3*a - 3*j = 4*a + b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675818183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50483938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3*s**2 + 6*r**3 - 47*r*s**2 - 107*r with respect to s.\nAnswer: -2*r**3*s - 94*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*s + 4 = 0, 0 = 2*c + 11*s - 7*s + 12. Solve -2*u - f - c = 0, -5 = 3*u - 0*u + 2*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 3. Let y be m(-1). Let r(g) = -g**3 - 3*g**2 - 2*g. Let v be r(y). What is the lowest common multiple of 10 and -1 + (v - (-8 - 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070634 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 3, -253, -2\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 22. Let p = q - -16. Put 2, 2\/13, p in increasing order.\nAnswer: 2\/13, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10403383 to the nearest integer?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**6 - 37*c**3 + 19*c**2.\nAnswer: 120*c**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-10))\/((-2)\/10). Let r = f - -7. Let m be 4\/(-3)*4\/(-16). What is the nearest to m in 0, -3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y - 3*y + 0*y)*(3*y + 2*y - 4*y)*(-162 - 192*y + 162) to the form z*y**3 + u + f*y**2 + l*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3099*l - 79356 - 277029 = 0 for l.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 - 285 - (-20)\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 88.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/3*(-675)\/(-300). Suppose -5*h - 36 - 20 = -3*q, -5*q = i*h - 82. What is the lowest common multiple of 170 and q?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 - r**2)*(2*r**2 - r + r) - 14*r**4 - 3*r**4 - 4*r**4 + (-2*r**2 + 5*r - 5*r)*(-2*r**2 - r**2 + 2*r**2).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6881934?\nAnswer: 2, 3, 1146989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 5148?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35699906 a multiple of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171\/284 + 55\/852. Which is the closest to 0.02? (a) -21\/4 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*v = 0, -3*v = 5*q + v - 3. Suppose q*j = -3, 4*j + j = 4*y - 193. Is 48 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*o - 2800 = 256*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/11)*y)\/(y*y\/((y**10\/y)\/y)*y*y)*(y**(3\/11)*y)\/(y*y**(7\/2)*y) assuming y is positive.\nAnswer: y**(25\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8364544 weeks to hours.\nAnswer: 140.5243392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 23\/105*u**7 - 4*u**2 + 13\/2*u**3 + 0*u**5 + 0*u**4 + 0*u**6 + 4 + 0*u. What is the derivative of o(p) wrt p?\nAnswer: 184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 1:05 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -125*a**3 + 5*a**2 + 6*a + 7. Suppose 39*s - 32*s = -21. Is i(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 24*w - 2 + 3 as s + o*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 3*q**2 - 1 + q - 13. Let h = -438 - -438. Determine c(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6727 < 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2431b - -9?\nAnswer: 24328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 4*z + 3. Let m be r(2). Let c(k) = k + 8. Let y be c(-6). Suppose -5*x = 4*g - 3*x - 50, 0 = -g - x + 14. Solve -y + g = m*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:10 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 1656.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 238, 688, 1568, 3022, 5194, 8228, 12268?\nAnswer: 17458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64104508 != 64104509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvlhilvvlibsviv. Give prob of sequence lsib.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 plus 2177207263?\nAnswer: 2177207269.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217470 and 29040.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70399 is divided by 2339?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a**6\/3 + 5*a**2\/2 - 4. Find the second derivative of r(n) wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.73 (b) -15.67 (c) -4\/3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/32116 and 107\/22940.\nAnswer: 160580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 2, 31\/5, -0.08?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*t + 8*d + 12, 4*d = 0. Let y = 8 - 9.2. Let f = -55 + 52. What is the third biggest value in y, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 63*f = 193, -2*c + 5*f = 59 - 82 + 46 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -10*r**3\/23 + 54*r**2\/23 + 36*r\/23 = 0.\nAnswer: -3\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 2*q**2 - 6*q - 1. Let r(n) = n**3 + n**2 - 3*n. Let v(w) = 3*o(w) - 7*r(w). Calculate the remainder when 7 is divided by v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 204\/5, 0.4, -126?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -14*q + 220. Suppose 0 = -5*j - 5*a - 0*a + q, 3*j - 71 = 2*a. Let o = j + -22. What is the smallest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f\/(f\/(f*f*f\/f**(-7\/3)*f)))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f + 0*f**4 + 0 + 1\/60*f**5 + 40*f**2 + 0*f**3. Let v(p) = -6*p. What is v(o(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 35676602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, 0.6, 21803, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 20*z**2 - 22*z - 9. Is f(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -789 + 24461\/31. Let u = 323 + -322.5. What is the fourth biggest value in -3, u, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + 2 + (-1 - 1) + 2. Solve 5*m + 5 = 3*x, 4*m + 22 = -4*x - a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20737)\/89)\/(-11883))\/((-4)\/34)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25675\/(-8216))\/(110\/(-8))*(9\/(-5))\/3?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 808*g - 803*g + 8, w + 889*g = 886*g - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 43028 - 9673. Let i = -53277\/8 + q. What is the common denominator of -57\/56 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -9. Let v(p) = p + 1. Let g(h) = 4*h + 9. Let f(i) = g(i) - 5*v(i). What is the units digit of f(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/245 - 239\/490. What is the closest to 1\/4 in -4, 2\/15, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*((sqrt(36)\/sqrt(2))\/sqrt(6) + -4 - ((-2*sqrt(126))\/sqrt(7))\/sqrt(6)))**2.\nAnswer: -384*sqrt(3) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Let j be (-3)\/(-20)*l + (-54)\/(-10). Suppose q + 3 - 5 = 0. Solve s = -q*s - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**4 - 1527*r**2 - 18578*r?\nAnswer: -60*r**2 - 3054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 255*k**2\/2 + 79497*k\/4 + 980947.\nAnswer: (k + 121)**2*(k + 268)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 162.7 and 270084.\nAnswer: 270246.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -61\/40975?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86093?\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1a54a9 (base 12) to base 7\nAnswer: 3646152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 609*b + 84. What are the prime factors of a(5)?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 315?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + 21 + 6*a + 3*a - 15*a in the form g*a + l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538832229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44312001 to the nearest integer?\nAnswer: 6657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276006 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -2, -1.3, -1\/2, 32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68367 + 22474. Let f = r + 45893.109996. Let x = f + -0.11. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 285?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 691\/148 + 3\/37. What is the common denominator of f and -29\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 - 1 = 0. Suppose q - 5*p = -4*q, -8 = -3*q + p. Sort -2, k, 1, q in increasing order.\nAnswer: k, -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0 in ascending order.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-20))\/((-22)\/(-88)). Which is the third smallest value? (a) -0.4 (b) 0.2 (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, r: 1, j: 1, n: 2, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*i**3 + 40*i**2 + 4*i - 24 = 0. What is i?\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10224*k**2 + 6 - 31*k + 6 + 13493*k**2 + 10*k. Let o be y(-11). What is o rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*12\/(-14))\/((-4)\/8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/((-884)\/6))\/((-5)\/30*3)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -22) + -7 + (-3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 20*q**2 - 116*q**2 + 82*q**2 - 2*q + 2 + 2*q**4 to s*q**2 + c + k*q**4 + p*q**3 + x*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + a**4 - 2*a**4 + (-4*a**2 + 4*a**2 + 4*a**4)*(-4 + 3 + 3) + (0 + a**2 + 0)*(2*a**2 - 2*a**2 - 2*a**2).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.682 - -3.682. Which is greater: 1\/920 or a?\nAnswer: 1\/920","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 1355978, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 901.8 - 902. Which is the nearest to 4\/3? (a) 1\/12 (b) 2 (c) -3\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -4.6. Let g = -83.1 + 79. Let n = g - i. Which is the second biggest value? (a) 5 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + n**2 + 5*n + 5. Let l(i) = -i**3 - 2*i - 2. Let j(u) = 2*u + 6. Let t be j(-4). Let a be 10\/(-6) - t\/(-6). Determine a*o(v) - 5*l(v).\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 56. Let v be -1*(-20)\/15*-21. Let p = v + x. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 5, -7, 2663 in descending order.\nAnswer: 2663, 5, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2061? (a) -3.3 (b) -54 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1722 - 1716. What is the nearest to a in -2\/109, -4, -0.2?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-54)*((-6)\/4 - -2). Which is the nearest to 121? (a) -1 (b) 2\/3 (c) u (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.1, -2\/9, 0, 6, -78?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 36 - 4*n + 0*n + 5*n. Let c be j(0). Let f(t) = 93*t**2 - 2*t - 1. Let m be f(1). Calculate the greatest common divisor of c and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 5:37 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6323751 micrograms to milligrams.\nAnswer: 0.0006323751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -59*m**2 + 101*m - 451. Give n(7).\nAnswer: -2635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.131 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/73164 and -61\/41808.\nAnswer: 292656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3071*p + 3132. Give f(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1515046718*d**5 + 557081978*d**2 wrt d.\nAnswer: 90902803080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14826 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 13*v**3 + 30*v**3 - 7*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -13) + (0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120155 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5))**2 + -2 + sqrt(99)\/(sqrt(36)\/sqrt(4)).\nAnswer: sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + (-3)\/6*-48. Suppose -29 = -w + 62. Calculate the highest common divisor of w and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 2*n**2 - 48*n - 1. Let j(h) = -2*h**3 + 3*h**2 - 50*h. Calculate -3*i(p) + 2*j(p).\nAnswer: 2*p**3 + 44*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -645?\nAnswer: 7\/645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19686 divided by -6\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 8. What is c(8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.048 - -0.048. Let l = -50 - g. Let p = -3 - -7. Which is the third smallest value? (a) -5 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 9359\/1422?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 183090870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 61 = -2*o, -5*z + 172*o = 177*o - 40. Calculate the remainder when z is divided by 3\/1 - (-9 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 divided by 204?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -71. Calculate the remainder when m is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s + 3*t - 55, -2*t + 18 = 2*s. What is the remainder when 23 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -90. Let q = t + 47. Solve 3*y = q*n + 1, -4*n + 18 = -n + 2*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h - 30. What is the remainder when 17 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose -6*z = 5*f - 2*z - 41, -p*z + 15 = -f. Let x = 0 + 0. Solve 2*v + x + 4 = -5*n, 4*v = f*n - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9033*q + 3238*q + 3945 - 11032 with respect to q.\nAnswer: -5795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1927\/7 + 1875\/7. What is the common denominator of b and 73\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**4\/4 - 4*s**3\/3 + 5*s**2\/2 + 2*s + 1. Let v be (3 + -1)*15\/(-6). Give j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/56 and 31\/10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/5 (b) -3\/10 (c) 5 (d) 2\/7 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26478832?\nAnswer: 2, 401, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1)*-1 - -1. Suppose -6 = -2*l - t. Suppose -2*v - 18 = v. Sort v, 2, l in ascending order.\nAnswer: v, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 10 - 2. Solve d*g - 4 = 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2081700 and 2081701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from nsnngnhnxs.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n - 3. Let k(v) = -2*v - 2. Let m(a) = 5*k(a) - 2*p(a). Let w = -18 + 10. Let b be m(w). Solve 0 = y - 4*y - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3 = 40*n + 28, -9 = -3*n + 4*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 25 = m. Let s be (2 - 17)*7\/(-3). Let w = s + m. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10978 or -10977?\nAnswer: -10978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49380978.\nAnswer: 2, 3, 617, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/30 + q**4\/12 + 7*q**2 + 14*q. Let d(i) be the first derivative of w(i). Factor d(k).\nAnswer: -2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 1, h: 2, j: 1, r: 1, k: 2}. Give prob of picking 1 v, 2 h, and 1 j.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**3 + p**2 - 4*p - 18. Let g(z) = 2*z**2 + 2*z - 3. Let a(s) = -4*g(s) + 3*y(s). Let a(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003940329.\nAnswer: 7, 143420047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*j = -150*j - 190*j. Let h(w) be the second derivative of j - 1\/30*w**4 - 11*w - 4\/15*w**3 - 3\/5*w**2. Factor h(m).\nAnswer: -2*(m + 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 4. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 9. Let k be t(12). What is the highest common divisor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 182 + 3 + 0*v.\nAnswer: -4*v - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddcggwcewddgmecmmcge. What is prob of picking 2 e and 1 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7800 - -163763\/21. Let h = z + 10\/7. Let g = 185.2 + -185. Sort g, h, 0.4 in ascending order.\nAnswer: h, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 - 2*h + 2 - 3 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 127?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 23*f**2 - 12*f. Let w be b(-12). Suppose -14*j + 0 = -w. Solve 0 = -3*g - j*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2 + 19*g**2 - g**3 - 11*g - 7*g**2 + 1. Let z be r(11). Put -3, z, -2 in descending order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 2. Suppose -3*r + 22 = -2*s + 6*s, -r + 14 = 3*s. Determine x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 85. Let d(v) be the second derivative of 2*v**2 + 0*v**3 + v + w*v**4 - 1\/10*v**5 + 0. Differentiate d(j) wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let f = z - 2. Let j = 1492\/9 + -166. Sort 0.4, j, f in descending order.\nAnswer: 0.4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711.581s in microseconds?\nAnswer: 9711581000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 3*t**3 - 3*t**3 + (2*t**3 + 0*t + 0*t)*(-3*t + 0*t + 5*t) + 1801*t**4 - 850*t**4 + 1897*t**4 + 2*t**4 + 0 + 0.\nAnswer: 2856*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a**3 - 3*a**2 - 3*a + 3. Let v be (-20 - -15)\/20*12. Let d(w) = -680*w**3 - 119*w**2 - 119*w + 119. Give v*d(i) + 119*o(i).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6)*(6 + (-54)\/12). Suppose -i + 4 + 1 = -5*c, -b*i - 3*c - 59 = 0. Let z(o) = -3*o + 24. Does 18 divide z(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -374 + 651?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -48. Suppose 2*p - 4*g + 3*g - 116 = 0, 0 = 4*g - y. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84182 * -0.388\nAnswer: -32662.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -268, -12 in decreasing order.\nAnswer: -4, -12, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*-396\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 77*h**2 + 9*h + 10. List the prime factors of n(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11740019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*a + 235*a = 357237615. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(21)\/sqrt(3))*2 + ((sqrt(63) + -4)**2 + -3 - sqrt(63)).\nAnswer: -25*sqrt(7) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k - 6*k + k + (-12 + 6*k + 12)*(-k + k + k).\nAnswer: 7*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*q = 2*q + 10905, 3*n = 5*q + 10913. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175065, 350708, 527553, 706200, 887249, 1071300?\nAnswer: 1258953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 461.3 - 461.2995082. Round n to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 40*n + 60.\nAnswer: 5*(n + 2)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:49 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/6*(-16)\/(-2340). Is h less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -63. Suppose 123*b - 3*r = 122*b + 23, -5*b + 5*r = -105. What is the smallest common multiple of z and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 10) to base 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s - 9. Calculate r(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86871, 86293, 84723, 81663, 76615, 69081?\nAnswer: 58563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*(72\/8 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-553)\/105 + 15\/9)*-5. Solve -2*v = 21*b - 18*b - g, b - 1 = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**2 + 13*a - 9. Let h(z) = -14*z**2 + 20*z - 14. Let p(k) = 8*f(k) - 5*h(k). Factor p(r).\nAnswer: -2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.33143um in centimeters?\nAnswer: 0.000333143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2616, -5243, -7870, -10497, -13124, -15751?\nAnswer: -18378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3 - a**3 + 3 + 14*a**2 + 0*a**3 - 6*a**2 - 69*a**4 - 80*a**2 wrt a?\nAnswer: -1656*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1825.8928791 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 14*c**2 + 32*c + 26. Let p be j(11). Suppose 0 = p*v - 232 + 52. Calculate the greatest common divisor of v and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 + -180. Suppose 0*s = 5*g + 5*s, 2*g - s - 6 = 0. Factor 5*n - v*n + 0*n**2 + n**g.\nAnswer: n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.428 + -3.828. Let r be 4\/10 - (2 + -2). Sort r, o, -15 in decreasing order.\nAnswer: r, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcev when four letters picked without replacement from {v: 1, e: 1, p: 3, c: 4, o: 1, w: 6}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1452090653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5257897 to the nearest integer?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -13. Suppose 5*h - 4*x = y, 4*h = -3*x + 6 + 5. Solve 0 = h*a - 6 - 0, -5*a + 15 = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68281\/218640 + 15\/911. What is the common denominator of c and -27\/16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 322. Let c be t(-47). Which is smaller: 185 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x. Let c be i(-3). Let a = -4570\/3 - -20771\/15. Let m = a - -139. Are m and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - -362401?\nAnswer: 362420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 14 = -26. Let f = 42 + m. Solve 0 = 5*x - 3*v + 35, 0*v + 3 = -f*x - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-4))\/((-30)\/(-20)). Suppose 3*n = -4*d + 12, 0 = -d - 4*n + g. Suppose d*h = -2*h + 230. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + y - y + (13 - 49 - 2)*(-3*y - 3*y + 4*y) + (-y + 3*y - 3*y)*(-1 - 1 + 4) + 3*y + 3*y - 2*y in the form f*y + d and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/64 + (-10)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 101, 151\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 134 (b) 6 (c) 21 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 430704 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175192521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 divided by 147?\nAnswer: -452\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16*f - 2. Calculate the remainder when y(-4) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45078.\nAnswer: 2, 3, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 22*i = g + 2, 2*g - 16 = -2*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40788 - -81?\nAnswer: 40849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3 - m**2 + 3*m - m + m + m**2 + (-2*m - 3*m + 4*m)*(3*m + m - 2*m).\nAnswer: -2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 123334\nAnswer: 246668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 + 33*b**2 + 7*b + 6. Let i be r(-8). Suppose -i*y + 180 = -4*y. Calculate the smallest common multiple of y and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 39*o - 215. Give b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.04975 rounded to three dps?\nAnswer: -10.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122366 - 0.1?\nAnswer: 0.022366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + i)*(28*i**3 + 60*i**3 + 89*i**3).\nAnswer: -177*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t**(1\/5))\/t)\/(t*t\/(t\/((t*t**(2\/11)\/t*t)\/t))))**(-10\/19))**46)**(1\/35) assuming t is positive.\nAnswer: t**(4968\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1 + -2 + -2). Suppose -3*m = -t*s - 156, 2*s - 83 = -4*m + 101. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -21680456.\nAnswer: -21680451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3340\/(-2338))\/(4\/(-7)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 711483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/((-43)\/((-258)\/9))*1\/(6*-3)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 1, -0.2, -2\/3, 5\/2, 29, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 + -42 + 5)\/(20\/(-62)).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:11 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 0 + (-7228 - -7271).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 1967927?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4 + 0*r - 4 - 2*r. Let h be n(0). Solve -15 = -h*w + 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1224 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 + -285. What is the biggest value in -4\/3, -2\/13, -1, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 173\/1903 + 840\/77.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 105.6*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7912038179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*t - 20*t - 396. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**7\/42 + 547*y**5\/5 - 123*y**3 + 4884*y. Find the second derivative of x(m) wrt m.\nAnswer: -20*m**3 + 13128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + -14 + -28 - 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9708407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -31*j + 10. Suppose -r**j - 7 - 2*r - 10 - r + 21 = 0. What is r?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 8971. Let x(k) = 5*k**2 + 13. Calculate o(x(t)).\nAnswer: 25*t**4 + 130*t**2 + 9140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 30 + 6 + (-14 - -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 10*a + 33*a - 15*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -4. Suppose -5*i + 22 = -2*t - t, -i + t = -k. Let a = 9 + -4. Solve -8 = -5*u - i*b - 0, a*u = 5*b - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 2556\nAnswer: -5\/852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 d when three letters picked without replacement from {g: 3, r: 2, j: 1, c: 2, d: 2, y: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-175) - 228\/4389)\/((-1)\/(-5)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 5*p - 0*p. Suppose p = 2*k - 36. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*i - 143, -116 = -4*s - 0*i - 4*i. Suppose -k - s = -5*k. Suppose 28 = -k*c + 12*c. Calculate the smallest common multiple of 54 and c.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - 208. Differentiate -27 + p + 66*w + 41 wrt w.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14370298.32 to the nearest 100000.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 13*p + 23*p.\nAnswer: 36*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32395899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, -8, -0.1, 2142, 5, -0.05?\nAnswer: 2142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5) - (-391)\/(-40) and 3\/48*(-2 + 33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - 8.3. Let w = s - -11.1. Which is smaller: 14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 3*k, -7 = -2*k - 5*f + 8. Suppose -2*j - k = -23. Suppose -j = -3*x + 5*t - 2, -x = -3*t + 3. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2*y**3 + 7*w**2*y**2 - 358*w**2*y + 2*w**2 - 13*w*y**3 - 5*y**3 wrt y.\nAnswer: -18*w**2 - 78*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:50 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92387 and -187.\nAnswer: 17276369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -337*t + 1014. Let p be h(3). Sort 0, 2, 6, p, -19.\nAnswer: -19, 0, 2, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v**2 - 2*v**2. Let n(w) be the third derivative of -w**7\/1680 + 23*w**5\/60 + 18*w**2. Let j(z) be the third derivative of n(z). Give s(j(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + b = -3 + 1, 2*d - 3*b = 2. Let t = -1 - -2. Let s = 5.03 - 0.03. What is the closest to d in s, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27104 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (2 - 3)*1. Solve n*d + 1 = x - 1, 0 = 4*d - x + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 279 and 279 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 = -2*h, -9*j + 5 = -8*j. Which is the second smallest value? (a) -0.25 (b) h (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4240 and 1060.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**5 + 41*i**2 + 11*i. Let n(z) = 20*z**2 + 6*z. Let b(x) = 11*n(x) - 6*u(x). What is the third derivative of b(w) wrt w?\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 613561 - 0.55.\nAnswer: 613560.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*g = -6183 - 5705 - 14103 for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.5. Let x = 85 + -175\/2. What is the third smallest value in w, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 - 2*o**2 + 1. Let h be w(-1). Let c be (h\/12)\/((-1)\/(-9)). Factor 5\/4*t**4 + 2*t + 0 - t**2 - c*t**3 - 1\/4*t**5.\nAnswer: -t*(t - 2)**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 13*q**2 + 3*q - 42. Let l be a(13). Let y(w) = 2*w + 3*w**2 + 19 - 17 - 2*w**2. Determine y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:50 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88638414 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17528962\/274142 - 65*1.\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)**7)**(46\/7)*((j**(-5\/4)*j)\/(j*j**(3\/13)*j*j))**(8\/3) assuming j is positive.\nAnswer: j**(3226\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 64. Find the second derivative of -594*c**2 - 22*c - 6*c + 666*c**t - 62*c wrt c.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 7. Let y(x) = -x - 2. Calculate -4*f(v) - 11*y(v).\nAnswer: -5*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 2*l + 2, -7*v + 5*v - 3*l = -19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580 and 86565.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/7 (b) 0 (c) -71189 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 5*i**2 - 3*i + 4. Suppose u + 5 = 9. What is the units digit of f(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 12. Give t(10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/3 - 42\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 4.06. Let a = 4\/27 - 22\/27. Let w be 2\/(-9)*(-8 + 8\/16). Put w, a, y in ascending order.\nAnswer: y, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454482 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 2*o**4\/3 + 7*o**2\/2 + 6*o. Let p be c(10). Suppose 3*f - 475 = 4*v, 5*f + v - p = -0*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**3*v*v*v*v**(-4\/3))**(-9\/11) assuming v is positive.\nAnswer: v**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12) - (-6)\/(-9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 195*o**3 + 7*o**2 + 10*o - 101. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c**2 + 16*c - 4. Let q(r) = -4*r**2 + 5*r - 1. Let d(v) = 3*o(v) - 8*q(v). Let t be d(7). What is the derivative of 0*j + t*j + 2 - 4*j wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**3 + 0*s**6 + 0*s**2 + 21\/2*s**4 + 0*s**7 + 0*s**5 - 103*s - 3\/14*s**8 + 0. Find the third derivative of i(b) wrt b.\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**3 + 17*v**2 - 17. Let c(q) = -11*q**3 - q**2 - 17*q + 35. Let w(t) = 2*t**3 + 3*t - 6. Let r(i) = -6*c(i) - 34*w(i). Give 6*n(u) - 17*r(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*n - 81*n - 122 + 74*n wrt n?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = -5*m. Suppose m = -8*f + 41 + 183. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h - 1. Let a = -5 + 8. Let t(j) = -2*j**2 - 4*j**h + j**2 + a*j**2. Let p(n) = -2*n**2. Determine t(p(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - i**3 + 0*i**3)*(1 - i + i + 4*i).\nAnswer: 4*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/7)\/(z\/((z**(13\/2)\/z*z)\/z)))\/((z**(-5\/3)\/z)\/z**(-6)) assuming z is positive.\nAnswer: z**(85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 37 = -3*q + 4*g, -3*q - 36 = -7*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/78 + 74*o**3\/39 - 213*o**2\/13 + 5*o + 2. Factor n(y).\nAnswer: -2*(y - 71)*(y - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -53*v - 4. Let t(l) = 40*l. Calculate d(t(w)).\nAnswer: -2120*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, -3 in descending order.\nAnswer: 26, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 6*z + 8. Let i be r(-4). Suppose i = -3*b + 4*b - 2. Suppose -f - 257 = -b*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + k - 13*k - 122 - 16*k.\nAnswer: -21*k - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 3*i + 6*i + i - 7*i**3. Let z(r) = -11*r**3 + 2*r. What is -8*q(l) + 5*z(l)?\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/18)\/((-260050)\/(-561708))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 32. Suppose -3*k - 35 = -50. Suppose 2*b = 8, -5*h + k*b = b - 419. What is the remainder when h is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {p: 2, s: 1, k: 1, z: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -185. Suppose -j = 2*t - 309. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 36. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3864 divided by 483?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -105446.3 rounded to the nearest 100?\nAnswer: -105400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*2688\/160. Suppose -h*s + 212 = 44. Let 10\/7*c + 2\/7 - 16\/7*c**s - 8\/7*c**3 + 12\/7*c**2 = 0. What is c?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let x(y) be the second derivative of -y**4\/12 + 26*y. Give x(c(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) -4 (c) -0.3 (d) -44 (e) -283 (f) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -8230.1 = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7496 is divided by 622.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/4 of a millennium in years?\nAnswer: 7250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:55 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55961411 is divided by 5596139.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4266 - 5*x**2 - 4266 - 206*x)*(1 - 1 - 1).\nAnswer: 5*x**2 + 206*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/4? (a) -13\/6 (b) -809 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54900 and 298900?\nAnswer: 2690100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (22287\/68)\/(-23)*84\/(-63)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(4320)*-2)\/(sqrt(10) + sqrt(100)\/(sqrt(250) + sqrt(10))).\nAnswer: 150*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(1053) - sqrt(1053) - sqrt(1053))**2*3 + -3.\nAnswer: 157947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 5*y + 8. Let q(f) = 7*f**2 - 4*f - 8. What is 4*l(p) + 5*q(p)?\nAnswer: 19*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let g be 29\/(-70) - w\/(-7). Let d = g - -57\/110. Which is the closest to 0? (a) d (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 46*h**2. Let v(s) = -3*s**2. Calculate v(w(o)).\nAnswer: -6348*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6718 - 6668. Calculate the remainder when j is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 988*d\/5 - 6818\/5.\nAnswer: -2*(d + 7)*(d + 487)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 327\/22 = -26950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -97, 57544 in decreasing order.\nAnswer: 57544, 35, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:22 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115059*a + 28249 = 115748*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1180 = -10*s. Let m = s + 581. Calculate the highest common divisor of m and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49486673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 339*b + 1289. Give x(-3).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/11)*y**(-2)\/y)**(-20\/7)\/(y**(4\/9)\/(y**(-1)*y)*(y*y**(-1\/3)*y)\/y**(-6)) assuming y is positive.\nAnswer: y**(-263\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Let c be (-5)\/(-3) - (-1)\/3. Solve n + 0*n = -c*q - j, 5*n - 1 = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1558 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqayddgyygyyda. What is prob of sequence dd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7130*m + 7169*m - 13143 = 0. Solve -61*t + m = -29 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-13))\/j**(-12)*j*j\/(j\/j**(-8\/5)*j)*j**0 assuming j is positive.\nAnswer: j**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -269*c**4 - 463*c**3\/3 - 902. Find the third derivative of y(g) wrt g.\nAnswer: -6456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 - u**4 + 4*u**4 + (4*u**3 - 2*u**3 + 0*u**3)*(-u + 0*u - 2*u))*(2*u - u - 5*u).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose f + f = h. Suppose f = -6*b + b - 15. Put 0, 1, b in decreasing order.\nAnswer: 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3184649, 6369340, 9554031, 12738722?\nAnswer: 15923413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 197 = x, 0 = 3*b + 8*x - 4*x - 308. Calculate the remainder when b is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27135 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3430\/35)\/(-7)*-2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0775 or 3042?\nAnswer: 0.0775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 7 + 7 + 308*r - 39 + 8 to d + x*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**4 + 26*l**3*o**2 + 3*l**2 + 5*o**2 + 18 wrt l.\nAnswer: -16*l**3 + 78*l**2*o**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1589261009 and -12404.\nAnswer: 1589248605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 2) + -2 - (14 + (86 - 17))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3293203476 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 222001001 (base 3) to base 7\nAnswer: 106225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.61 + -6.7. Let s = b + 4.89. What is the closest to -1 in 6\/7, -2\/3, -5, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -102*q**2 - 126*q - 123. Let f(v) = -57*v**2 - 63*v - 61. Let z(w) = 9*f(w) - 5*g(w). Determine t, given that z(t) = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 5 - (1 + sqrt(2) + -2)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = -7. Does 4 divide 57\/w - 1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-14))\/(((-150)\/210)\/(10\/(-4)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-256)\/(-48). Let l(k) = k + 6*k - 2*k - 3*k - 5. Let y be l(i). Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - u. Let x be j(1). Let m = 21\/5 + -4. Which is the nearest to 0? (a) x (b) m (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -437, -1774, -4015, -7160, -11209, -16162?\n\"Answer: -452*q**2 + 19*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57889 is divided by 420?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*k + 3 + 2*k**2 + 1\/2*k**3.\nAnswer: (k - 1)**2*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*d + 3, 4*d + 4*a = 12 - 0. Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1243 - (2 + (3 - 4)). Let n = 45228985\/37738 - -4\/18869. Let r = n - c. Calculate the common denominator of r and 31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a + 2*o + 217, 5*a - 2*o = -335. Let j = a + 51. Does -18 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421052 - -24?\nAnswer: -421024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271000 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -2, -7, -22, -53, -106, -187?\n\"Answer: -g**3 + 4*g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:12 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 7*r - 103 = -15*w, -14 = 2*w - r + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 6 = 0. Suppose 0 = k - 3*k + c. Suppose 3*g - 4*z = 10 + 12, k*g - 18 = 3*z. What is the remainder when 3 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6052401us to milliseconds.\nAnswer: 0.0006052401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 336869164?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117890 is divided by 58598.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.024, -1, -43276, -2.\nAnswer: -43276, -2, -1, -0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 9*i - 7*i + 6 = 0, -2*o = 5*i - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i = -39*i - 3*b - 11, i - 2*b + 23 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.2. Let h be (-30)\/(-25)*(-10)\/(-4). Let q be -1 + (1 - h) - -4. What is the closest to r in q, 3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64508026*b*d**2*k + 38*b*d*k - 334*b*d + 2*d*k - 1039*d wrt d.\nAnswer: -129016052*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -743843*v**3 - 9435*v**2 - 2*v + 1 wrt v.\nAnswer: -4463058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 + 0*s**2 - 4*s + 0*s**3 + 2*s**3 to the form n + j*s + m*s**3 + h*s**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1096 + -1096. Is 139 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 894767 times 52\nAnswer: 46527884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1276 and -123\/308?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2694)\/1347)\/((-492)\/(-6))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20002, -20003, -20004?\nAnswer: -20005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17, -1\/13100, 3, 4\/13?\nAnswer: -1\/13100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300\/13, -2\/17, 3, -1\/2, -3\/8 in descending order.\nAnswer: 300\/13, 3, -2\/17, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -l, 2*l = 3*f - 0*l - 35. Let s(r) = -r + 1. Let c be s(1). Suppose c = 6*k - f - 7. Solve -2*b - k = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m - 16. Let b be f(-8). Let p be 36\/b + (-35361)\/44. Let k = -177157\/220 - p. Calculate the common denominator of k and -145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 9*o = 5*x + 36, 67 = -11*x + o for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 + 646\/(-1326)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 12*b**3 - 83880896*b**2 - 27960300*b = 0.\nAnswer: -1\/3, 0, 6990075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 22.7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110100011010010 (base 2) in base 14?\nAnswer: 77454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 15*z = -6. Solve 4*j = z + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 5*i. Let w(j) = 1. Let b(a) = p(a) + 4*w(a). Let x(m) = -m**2 + 6*m - 5. Give -5*b(k) - 4*x(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -808*q + 1569. What is u(2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:03 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0*m**2 - 1\/120*m**5 - 1\/72*m**4 + 1\/36*m**3 + 0 + 1\/180*m**6 + 9*m. Find c, given that p(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1326 and 565813482?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(((-2)\/(-6))\/(10\/(-6))).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 33*v**3 - 114*v**2 - 156*v - 72.\nAnswer: -3*(v + 1)*(v + 2)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 11:40 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4142 - 4138. Put -15, 12, m, 11 in decreasing order.\nAnswer: 12, 11, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 122.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 180176297 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:41 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + v + 92. Suppose -4*c - 8 = 0, 45*w = 44*w + 3*c - 3. Give n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 13*r**2 + 33*r + 1. Calculate f(-9).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:42 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-640)\/90 - -7)\/((-4)\/(-9)). What is the third smallest value in t, -2, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 102. Suppose 2*y + w + 25 = -2*y, w = o*y + 20. Which is the third smallest value? (a) y (b) 3\/5 (c) 1\/5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -224*d + 224*d + 6*d**2 - 1 + 10. Let q(w) = 3*w**2 + 5. Give -5*p(m) + 9*q(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 5. Let r be v(-5). Suppose 4*d + 1 - 9 = r. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/27 + -1\/27. Find k, given that -t*k**2 + 0 - 1\/3*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21573 (base 9) to base 3.\nAnswer: -201122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35013238?\nAnswer: 2, 13, 19, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*r**3 + 53*r**2 - 53*r**2)*(3*r**2 + 8*r**2 + r**2).\nAnswer: -336*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32297 + -0.05813. Round z to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*o = -42, 14 = -3*b + 76*o - 80*o for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63395 = -189*y - 2317*y - 1304*y - 92815 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/5 - 11754*j\/5 + 46984\/5 = 0.\nAnswer: 4, 5873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199700228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**2 - 4*w + 9. Let n(z) = -11*z**2 - 8*z + 19. Suppose -3*v = v + 24. Let o(t) = v*n(t) + 13*l(t). Let s = -3 - -5. Calculate o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12358157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 535875773\/5 greater than 107175154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.48876 rounded to two dps?\nAnswer: 9.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from lhdddrabbhddhhl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17695 + 123863\/7. Which is the closest to x? (a) -4 (b) 1\/4 (c) -21\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 135\/14168 and -87\/173800.\nAnswer: 27981800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/133, -3\/2974, -1\/5 in increasing order.\nAnswer: -1\/5, -18\/133, -3\/2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**3*t - 14*s**3 + 26*s**2*t*x**2 - 2*s*t + x**2 - x wrt t?\nAnswer: 2*s**3 + 26*s**2*x**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/11)\/((-2)\/154*-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*2\/(-3) - (95 - -1)\/8. Let w(u) = -4*u**2 + 3 + 5 - 4*u + 2*u**2 - u**3. What is the units digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179344545*f**4 + 255890221*f?\nAnswer: -2152134540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 6*z + 7. Let u be o(-5). Let f = -262\/3 + 88. Suppose -2\/3 - f*l**u + 4\/3*l = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 24. Let c(t) = -28*t**3 + 7*t**2 + 3*t + 7. Let a(b) = 9*b**3 - 2*b**2 - b - 2. Suppose -15 + 1 = 2*n. Let p(s) = n*a(s) - 2*c(s). What is p(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 524808*z**3 - 18*z + 8435125 wrt z?\nAnswer: 1574424*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrq when three letters picked without replacement from {r: 5, q: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = l + 71. Find the common denominator of 103\/12 and ((-3)\/l)\/(50\/1625).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/7 - 8\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2981 - 3?\nAnswer: -2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3200*d**6 - 44*d**2?\nAnswer: 384000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*n - 160*n + 51. Let q(v) = -11*v**2 + 6*v. Let r(z) = -z**2 - z. Calculate n*q(i) + 6*r(i).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 170 = 5*l, 5*o = 4*l - 43 + 217. Suppose -4*a + 0*a = -380. Calculate the highest common factor of a and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911079238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/28868 and -5\/42532.\nAnswer: 43850492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3724\/21)\/14 - (-2)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 15540 = 7*x. Suppose -11*i + 9811 = x. List the prime factors of i.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3))**(-16) assuming g is positive.\nAnswer: g**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4, 1\/3, 2\/29?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5710, -11421, -17132, -22843, -28554?\n\"Answer: -5711*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - 3.05. Let b = 2.84 - 2.5. Let w = b + -0.84. What is the third biggest value in -4, w, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69521671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1624 divided by 8433\nAnswer: 1624\/8433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6594, -0.2, 5, 2\/13, 1087, 0.5 in ascending order.\nAnswer: -0.2, 2\/13, 0.5, 5, 1087, 6594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -16659a8?\nAnswer: 16659aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/137? (a) 3.6 (b) 2\/13 (c) 5 (d) -1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43820.346 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*b = -5*b - 78800006, 2*a - 4*b + 39399992 = 0. What is a rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11525 - 7582. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from mvmwmpmwvbpbw.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7129 is divided by 253?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 6*m**2 + 7*m**2 - 3*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.028 and 16.\nAnswer: 15.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*c - 13. Let b(n) = 6 - n**c + 8 - 13 + n. Determine b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 49.3742 milliseconds?\nAnswer: 49374.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u + 458 - 692 + 1130 = -2644 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -220222 (base 3) to base 11\nAnswer: -563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3394806865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002634 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 484397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-31) + (-46104)\/(-28458).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/5))\/z)**(7\/9))**(-1\/19) assuming z is positive.\nAnswer: z**(14\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1953924 and -15\/53168.\nAnswer: 7815696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r - 141. Determine f(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16169390 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.3351 minutes to hours.\nAnswer: 0.555585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*c**2 - 10305*c + 8260.\nAnswer: -5*(c + 413)*(5*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 152, 372, 754, 1352?\nAnswer: 2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80599.\nAnswer: 80599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(44)\/(sqrt(20)\/sqrt(5)))*-2.\nAnswer: 6*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348136, -1392733, -3133728, -5571121, -8704912, -12535101, -17061688?\nAnswer: -22284673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/31, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*b*q + 1277*b - 17*q wrt q.\nAnswer: -56*b - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 11:22 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 69*x = -74*x + 134, -x + 216 = 5*b. Put b, -5, 5, -2 in ascending order.\nAnswer: -5, -2, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555*y + 2*y**2 - 5 + 29 - 6 - 18 to the form p*y + d + l*y**2 and give p.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -261.49418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -60*v - 43. Let z be p(-1). Solve 0 = -6*n + 1 + z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 31251.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6)*(-28 + 1). Suppose -p*m = -12*m + 261. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let r(d) = 8*d + 3. What is -5*h(a) - r(a)?\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-168)\/(-12))\/((-2)\/15*-3). Suppose -w = 9*l - 143. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 - 1 + 2 + 1 - 3 as p*s + d*s**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10214240, 40856867, 91927912, 163427375?\n\"Answer: 10214209*k**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 126 + 15. What is the remainder when 107 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51298 or -51299?\nAnswer: -51298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7 - c + 6 - 2*c. Let s be g(-1). Solve -5*n - 5*u = 0, 2*n + s*n - u + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 95. Let f be y(18). Suppose b + c = 10, -2*b + 4*b - f = -3*c. Solve -b + 2 = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25*f. Let u(s) = -594*s**2. Determine u(z(o)).\nAnswer: -371250*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 + h - 23 + 32 + h - 18 + 346*h**3. Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/9366500 and -48\/13?\nAnswer: 9366500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107100.7 minus -397728?\nAnswer: 504828.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u + 32\/3*u**3 - 21\/2*u**4 - 17 + 0*u**2. Find the third derivative of h(t) wrt t.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*r + 32 = 0, -3*s + 8*s + 4*r = 40. Let q = -6 - -8. Let n(x) = x - 2*x + q*x + 0*x. Determine n(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n - 6. Let c(l) = l**2. Give w(c(h)).\nAnswer: 13*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 203\/(-29)*(-2)\/7. Let p = g - -34. What is the greatest common divisor of p and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/15 - 16\/(-3). Which is the second biggest value? (a) 0.5 (b) -0.8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -0.1 (c) 2 (d) -5 (e) 7 (f) 1\/4 (g) -845\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*z - 2*z - 11 = 0, -6 = 2*z. Let i = -27 + 13. Let n be 4\/h - 32\/i. Solve 10 = -n*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q**2 - 20*q + 6. Calculate x(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 = -5*v, 2*s + 0 + 8 = v. Let r be v*(-1)\/(-2)*-53. Let o = 21 + r. What is the common denominator of -95\/2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 4.9. Let u = 5265 - 26323\/5. Which is the second biggest value? (a) m (b) u (c) 0.3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/21438 and -39\/2.\nAnswer: 21438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -481\nAnswer: 2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 + 2*a**2 + 0*a**2)*(-146*a - 28*a - 2*a**2 + 249*a) as m + t*a**2 + w*a**3 + h*a**4 + v*a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1927, -1928, -1929, -1930, -1931, -1932?\n\"Answer: -a - 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 15 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2430764 to 4 dps.\nAnswer: -0.2431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x + g + 103 = 0, 27*g + 74 = -3*x + 23*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 3*j**2 - 3*j - 5. Let p be z(-2). Let f(w) = -w + 6. Let a be f(p). Solve 3*g - h - a = 1, 0 = 3*g - 3*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5\/2 - 63*k**4\/2 - 249*k**3 - 533*k**2 - 915*k\/2 - 279\/2 = 0. What is k?\nAnswer: -3, -1, 93\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0 + 9, -5*w - 11 = 3*m. What is the nearest to 2 in w, 2\/15, -16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 164.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2397171 and 49.\nAnswer: 16780197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-2)*15800002\/(-3). Let b be (-3)\/1 - (0 + -3). Suppose b*v + t = 5*d - v, -5*v - 25 = 0. What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njvllvnvjvjnvjn. What is prob of sequence jjn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.03, -1, -2\/223, 0.4, 4, 3 in decreasing order.\nAnswer: 4, 3, 1.03, 0.4, -2\/223, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x - 3. Let f be x - (-4 - -1) - 2. Is 25 + (f - (4 + 0)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {x: 3, v: 1, h: 5, t: 4, g: 4, y: 1}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-3*-5*-2 + -5*(-1 + sqrt(1700) + 2 + sqrt(1700) - sqrt(1700)) + -3)**2.\nAnswer: 5600*sqrt(17) + 2082564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 18*x - 4*o = 42, -4*x - o = 43. What is the units digit of 1140\/24*(-132)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, -19, -2, 672 in ascending order.\nAnswer: -19, -2, -1, 2\/3, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.9 - -38.1. Let v = -49.02 + a. What is the third smallest value in 2\/11, 3, 1\/6, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31031011311 (base 4) in base 16?\nAnswer: 34d175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 229\/264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9305782.\nAnswer: 2, 19, 244889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 343699186 to the power of 1\/2, to the nearest integer?\nAnswer: 18539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvpppvvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4508 + 4546. Solve 17 = m*s - 59 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -14*o - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*y - 299 with respect to y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11941 < 11938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -510747, -510733, -510719, -510705?\n\"Answer: 14*a - 510761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580*p**2 - 1159*p**2 + 44*p**3 - 278 - 56*p**3 + 579*p**2.\nAnswer: -12*p**3 - 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 53411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189014, 378039, 567074, 756125, 945198, 1134299?\nAnswer: 1323434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 46. Suppose 0 = 5*v - w + 3. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -8. Let h(b) be the third derivative of b**4\/8 - 2*b**2. Let s(y) = 2*y. Let v(g) = -5*h(g) + 7*s(g). Determine v(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3))\/((-3)\/(-18)). Let q(i) = i**3 - 5*i**2 + 5*i - 3. Let g be q(3). Let o = t - g. Solve 11 = o*r - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*a - 16, 2*a + q - 1 = -9. Let t(b) = b**3 + 28*b**2 + 24*b - 65. Let r be t(-27). Suppose r = -3*g + 7*g. Put 3, a, g in increasing order.\nAnswer: a, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b*x**3 - 2*b*x**2 - 5*b - 115*x**3 - 140*x**2 + 3 wrt x.\nAnswer: 36*b - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2 - 22*l. Give m(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30*(-3)\/112 + (-99)\/(-231). Which is the closest to 7? (a) -1 (b) 9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2111 and -6?\nAnswer: -12666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -23. Suppose 5*g + 8 = 303. Let l = m + g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 9. Let h(o) = 61*o - 2. Let z(b) = 10*b. Let f(p) = h(p) - 6*z(p). What is -22*f(r) + 6*q(r)?\nAnswer: 2*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 1. Let t(s) = 2*s + 7. Give -t(c) - 5*y(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-91)\/(-39))\/((-26049)\/(-13023) - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + 15)*1\/2. Solve -d = 5, -l*d = -2*v - 3*d - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9083532 + 9083532 + 118*m.\nAnswer: 118*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 431, -2, 0, 4, 25, 1, 845 in ascending order.\nAnswer: -2, 0, 1, 4, 25, 431, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8233\/15 - -1 - (-458)\/3435. What is the highest common factor of w and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 + -330. What is the least common multiple of 4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = u - 2*d + 5, -13*u + 4*d = -9*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 4*j**2 + 64*j + 146. Let b be w(-12). Calculate the greatest common divisor of b and 1110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 964386?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -990 times -0.0047?\nAnswer: 4.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -21 - -20) + 3\/1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 8 - -32) + -22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q + 4*t, 4*t = -2*q - 0*t - 2. Is q less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqq when three letters picked without replacement from mmqmbmpbqbbmgmb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/975 and -179\/2730?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*s**3 + 18*s**3 - 121 + 121.\nAnswer: 166*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 833*m**2 - 67*m + 52. Let h be 2\/(-10) + (-636)\/20 + 4. Let w be z(h). Round w to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -260.24 >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1344902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 103*x**3 + 4*x**2 - 6*x + 7. Let r(d) = 102*d**3 + 3*d**2 - 5*d + 6. Let b(w) = -5*q(w) + 6*r(w). Let i be 2 + (1 - 3) + 1. Is 14 a factor of b(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*36\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 69, -1, 4.\nAnswer: -1, 0, 3, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 5*k**2 + 5*k - 5. Let s(o) = o**3 + o**2 + o - 1. Let c(q) = -l(q) + 4*s(q). Let v be c(1). Let y = 5 + -10. Put y, v, 3 in increasing order.\nAnswer: y, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15*w + 0*w = -11*w + 5, 128 = -20*b - 3*w for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/131 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11242788 and 16836?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 71510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1031429931047 + 1031429931047 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 + f. Let r be q(2). Let t be r\/5 - 7\/5. Is 19 a factor of 3*((t - 2) + 20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -2.\nAnswer: 105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1058, -1229, -1688, -2579, -4046?\n\"Answer: -24*z**3 - 3*z - 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 0*c**3 + 0*c**3 - 2*c**2 + 2*c**3 + 3 in the form y*c**2 + r*c + n*c**3 + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -127220459.06.\nAnswer: -127220459.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111502496 rounded to five dps?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 5. Let u be p(7). Find the common denominator of 59\/(-180) + (-2)\/9 and (u\/(-50))\/((-12)\/345).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34847 divided by -2\nAnswer: 34847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from {b: 4, a: 2, m: 8, s: 1, h: 4}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 258264?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 3. Suppose 0 = 20*j - 15*j - 195. Suppose -j = -4*p - 11. Suppose -11*k = -p*k. Give u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 - 255*t**4 - 778*t**3 + 1032*t**2 = 0. What is t?\nAnswer: -4, 0, 1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 48, 81, 114, 147?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1460257\/24827 + -647\/11. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2905 + 558 = 671*g + 605*g + 205 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 4*g**2 + 5*g**2)*(2*g - g + g + (g + 0*g + g)*(1 - 2 + 2) + 5 - g - 5 + 4*g - g - g - 2*g - g + 5*g) + (-3*g**2 - g**2 + g**2)*(1 + g - 1).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2010*u**5 - 2*u**3 + 1161*u**2 - 585*u?\nAnswer: -120600*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - d**2 + 4*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53208575, -106417160, -159625745?\n\"Answer: -53208585*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.297 + -0.097. What is the biggest value in 0.2, 2\/5, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 30*r - 9. Suppose 3 + 7 = 2*q. Let b be m(q). Suppose -b = 75*z - 78*z. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppsppppmspppppsm. Give prob of sequence smm.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 5*g**2 - g**3 + 2*g**3 + 3 - 15*g**2 to the form p*g + r*g**3 + z*g**2 + k and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/5))**19*(y\/y**38)\/(y\/(y**24*y)) assuming y is positive.\nAnswer: y**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 - 5*u - 13. Let h = 5 - 16. Let w be q(h). Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 - q**4 + 109*q**3 + 2810*q wrt q.\nAnswer: 40*q**3 - 12*q**2 + 654*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 13. Suppose l - 4*l + d - g = 0, 20 = -2*l + 4*d. Let r(z) = -z. Let h be r(l). Sort h, 0, 4\/3.\nAnswer: 0, 4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28428 + -55801\/2. Let k = n - 526. Let w = -5.09 - -0.09. What is the fourth smallest value in w, 5, k, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/45)\/x)\/x)\/x**7*((x*x**(-18))\/x)\/(x*x*(x*x**10\/x)\/x*x) assuming x is positive.\nAnswer: x**(-1753\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 11:58 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -10*x - 20. Sort -0.2, 1\/4, -1, x in decreasing order.\nAnswer: x, 1\/4, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f - 1\/9*f**3 + 1\/8*f**4 + 5*f**2 + 0 + 11\/180*f**5. Suppose m(u) = 0. What is u?\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v + 42*v = -5*v + 690. Solve -2*j + 6 = 2*c, -13*c + 2*j - v = -12*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10244 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (16 - (19 + -11)) - 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 88, 271, 620, 1189, 2032, 3203, 4756?\nAnswer: 6745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3011, 6032, 9053, 12074?\n\"Answer: 3021*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -221046.55 * 1\nAnswer: -221046.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19296 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 590 - 591. Let u be ((4\/(-12))\/(z\/18))\/3. Factor 5\/6*x**u - 10\/3*x + 10\/3.\nAnswer: 5*(x - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 1, w: 5, t: 2, k: 6}. Give prob of picking 1 q and 2 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54104719 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45802 to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 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: Find the third derivative of 13*n*z**4 + 55235*n*z**3 + 8*n*z**2 - 3*n*z - 297*n - 5*z**2 + 2*z wrt z.\nAnswer: 312*n*z + 331410*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15610880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.87363262 rounded to two dps?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(35)\/sqrt(5)) + 4)**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3 + 1923*b**2 + 1920*b = 0.\nAnswer: -640, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83570434\/76037 + 14288\/13. Is n at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*i**3*r - i**3 - 2*i**2 + 33170*i - 4*r**3 + 801*r**2 wrt r?\nAnswer: -8*i**3 - 12*r**2 + 1602*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326984167 to the power of 1\/3, to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -33*p**3\/4 + 29056*p**2 - 102329949*p\/4 - 3101121\/2 = 0.\nAnswer: -2\/33, 1761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123881 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*i)*(i - 3*i + 0*i)*(-2*i - 3 + 3)*(3*i - 3*i - 2*i).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 185511402 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(245) - 3*sqrt(245) - sqrt(245)) + 4 + sqrt(245) + 1 + sqrt(245) + 2)*4)*-4.\nAnswer: -124 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 728 (b) 5 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -3. Suppose 3*p = -2*g + 20, -4*g - 3*p + 5*p = -8. Which is the third smallest value? (a) w (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537550198 is divided by 1870.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) -0.5 (c) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 28*n**3 - 164260*n**2 + 235429216*n + 16151578416 = 0.\nAnswer: -459\/7, 2966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 3\/5, -16740\/23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191526012?\nAnswer: 2, 3, 17, 73, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -16*x - 9. Let g be b(4). Let o = -51 - g. What is the second derivative of 13*h**2 - h - h**2 + o*h wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9204866 to the power of 1\/2, to the nearest integer?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*n - 11 - 25, 0 = 4*n - g - 51. Suppose n - 83 = -3*z. Suppose 2*b - 15 = -x, -z = -0*x - x + 2*b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let s be ((-8)\/6)\/((-6)\/(-9)). Let t be -3 - (-2 + s) - 1. Let w(k) = -2*k - k + t*k - 2*k. Give p(w(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55 - b?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3788 and 85\/13258?\nAnswer: 26516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.008 + -2.892. Let m = q + 3. Sort m, 1\/6, 0 in increasing order.\nAnswer: 0, m, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 28 + -26 + -20\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/16)\/(15\/(-100)). Solve -4*y + z + 0*z = 2, 0 = -2*y + 5*z - b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -62.2 (b) 905 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 9 = 3*w - 3*d, 5*w + 12 = 2*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 71. Let q = 23 + f. Solve 7 = l + 3*b, q*b + b - 4 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvyjvjvyjvvjj. Give prob of picking 1 j and 1 y.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:04 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211 is divided by 195.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 1. Let x be (-2)\/(-7) - (-96)\/j. Suppose -104 = -n - x. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 58. Let n be (-97880)\/(-50) + (-4)\/l. Suppose 4*s = 2*s + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2003177 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2757977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(35\/(-10) + (-1)\/(-2)). Let w(g) = -2 + 5 - 4. Let o(d) = d**3 - 2*d**2 + 7. Determine z*o(q) + 5*w(q).\nAnswer: q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 12 - -9) + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 20*((-45)\/10 - 1). Suppose l - 61 = -8*u + 3*u, 2*l = 3*u + m. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -110*p - 11024. Give t(-100).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -27, -28, -29, -30, -31?\n\"Answer: -o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1032801244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 3) in base 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/4))\/k)**(2\/13))**(-12\/13) assuming k is positive.\nAnswer: k**(6\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/70 + 7*v**6\/180 + v**5\/15 + 31*v**4\/24 - 4*v**2. Let f(g) be the second derivative of q(g). Factor f(s).\nAnswer: -4*(s - 1)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15335 (base 6) to base 16.\nAnswer: 9cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21201 and 98167697.\nAnswer: 7067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 2*g - 4. Let u be 1 - 6\/14 - (-2597)\/(-343). Let c(s) = 9*s**2 - 3*s - 10. Let j(l) = u*z(l) + 3*c(l). Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v + 7*v + (-3*v - 2*v + 3*v)*(0 + 3 - 2) - v - v + 3*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 + 6*k - 1. Let h = -4 + 3. Let f = 5 - h. Calculate c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**8\/56 + s**7\/105 - s**6\/20 - s**5\/30 + 2*s**2. Solve y(a) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 50*v**2 - 45*v - 450.\nAnswer: 5*(v - 3)*(v + 3)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1764, -2168, -2534, -2844, -3080, -3224, -3258?\nAnswer: -3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 976415 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7575e28 + 1?\nAnswer: 7575e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Suppose 20 = o*w - t - 4, 0 = 3*t + 12. Let k be 1 - (2 - (4 + 0)). Solve -k + 18 = w*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19999*h**3 + h**2 - 4*h + 4. Suppose -2 = 2*d - 4. Let x be p(d). Round x to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -26. 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: Is 32895281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - 23. Determine s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 86303?\nAnswer: 86301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*i**3 + 16*i**3 - 26*i**3 + 2*i**3 + 7*i**3.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (68\/16 + -2)\/(1\/32). Suppose -n = -4*b + 96. Let a = -16 + b. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 28. Let v be (l + -4)*4\/6. What is the remainder when 0 + v\/4*-164 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**4 - w**2 - w. Let t(u) = -5*u**5 + 4*u**4 - 5*u**2 + 4*u. Let x(b) = 4*f(b) + t(b). Find the third derivative of x(k) wrt k.\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 3*d - 4*d + 8*d - 2*d. Let i be 0 + 0\/(-2) + 2. Let m(j) = j**i + 3*j - 2*j**2 - 2*j. Give g(k) - 4*m(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 2284005?\nAnswer: 114200250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1044458698?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 320.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:11 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/28 and 17\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1381.331 + -1497.32. Let o = j - -0.089. Let g = -116 - o. Round g to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -5. Let p = 2.094158 - 0.094158. What is the closest to -1 in 7, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351045 by 145.\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 18*f = -232. Suppose 0 = -235*d + f*d + 16917. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -262*n - 1 + 3*n - 38*n - 193*n. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -31*y**4 - 6*y**2 + 6*y - 9. Let v(x) = 30*x**4 + 5*x**2 - 5*x + 10. Let k(t) = 5*j(t) + 6*v(t). What is the derivative of k(c) wrt c?\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1974768 - 894813 = 39*g. Let l = 9270907\/126 + g. Calculate the common denominator of -43\/70 and l.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12964596 divided by 6?\nAnswer: -2160766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 17 + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9445\/11334)\/(1\/2*1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51\/32 in -0.24, -4, 2.2?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22935 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/(h\/(h*h*h**6\/h*h*h*h))*(h**(-2))**(19\/3))\/(((h\/(h*h**(2\/9)))\/h*h)\/h*h\/h**(-3)*(h*(h\/(((h*h**1)\/h)\/h))\/h)**39) assuming h is positive.\nAnswer: h**(-346\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 1:29 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273 - 279. Let n = -1.1 - -0.1. What is the third biggest value in n, p, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -53768.\nAnswer: 53763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3 - 2*d**2 + 2*d + 64. Let g(k) = -k**3 - 12*k**2 - k - 16. Let x be g(-12). What is w(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -872 + 1357. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 397153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -148\/533149 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*r - 6 + 5838*r + 6)*(5 - 2*r**2 - 1 - 2).\nAnswer: -13180*r**3 + 13180*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 414283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/3 in -0.064, 0.07, -5, -2\/11, 45?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 6*s + 3*s)*(0 - 1 - 4)*(-68*s + 0*s**3 + 76*s + 2*s**3).\nAnswer: 20*s**4 + 80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 116 = 6*b, -10*f + 11*f - 2*b = 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (2 + -26)) + -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 47 + 67 = 0. Differentiate 9*n**4 - 44 - n**4 + 5*n**2 - s*n**2 wrt n.\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361835, -1447385, -3256643, -5789609, -9046283, -13026665?\nAnswer: -17730755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:31 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 - s - 19. Let v be y(8). What is the greatest common divisor of 66 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from vtvvvvvvvvxvv?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50956 divided by -1.\nAnswer: 50956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 10758\/21*(40 + -33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 + -8.9. Let h = r - -4.9999999. Round h to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j + 4*o + 156, 6 = -j - 0*j - 30345*o + 30350*o + 164 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - 5*d + 745, 9 = -3*d. Let c = 219 - o. What is the highest common divisor of c and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (6 - 5) - -4) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -0.02, -1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 6780610*p + 13561200.\nAnswer: 5*(p + 2)*(p + 1356120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 48 = 6*t, 2*d = 4*t - 15 - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 8:24 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 - 0.8. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95661875 < -95661875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 7:30 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -33.6. Let m = u + -3. Let y = 2.96 - -0.04. Sort m, -1\/2, y in decreasing order.\nAnswer: y, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 673 - 647. Solve -q = -5*s - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (2 - 2 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 563 + 0?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/9*3 - -22.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338*x - 338*x - 21*x**3)*(-2*x - 7*x + 4*x).\nAnswer: 105*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 9*u**2 - 5*u + 2. Let c be l(-5). Suppose -34*w + 13 = -37*w + c*v, 0 = -4*w - 4*v + 16. Let g(o) = o. Determine g(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3021 and 43845787.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360 or -356?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*i - 2*b - 86*i**2 + i + 4511 wrt i?\nAnswer: -5*b - 172*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 + 11 = 0. Let j(c) = -c**3 - 5*c**2 - c - 3. Let n be j(g). Suppose -25 = -n*q - 1. What is the remainder when 35 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 31. Let l be j(-18). Solve 3*d + 1 = -l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*m + 2*m**3 - 5304*m**4 + 2*m**2 + 5337*m**4 - 8 + 4 as p*m**4 + j*m**2 + s*m + r + h*m**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from {q: 2, v: 1, j: 1, w: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82286398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 8. Let q be f(-6). Let y be ((-6)\/(-21))\/(9\/(-21)). Which is the biggest value? (a) y (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67940 divided by 16985\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, r: 2, m: 3}. Give prob of picking 1 r and 3 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 49, 4, -4.\nAnswer: -4, -3, 2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37 and 85.\nAnswer: -31.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 95285*l**2 + 381035*l + 476325.\nAnswer: 5*(l - 19053)*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*m = -217*m - 45390 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*j + 2\/3*j**2 + 2\/3.\nAnswer: 2*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 88*v + 1045. Let s be o(-15). Solve -34*t - 16*t = s for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1513?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.416 - -0.3. Let j = 4.111 + l. Let v = 4 - j. Round v to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5243111 (base 7) in base 4?\nAnswer: -2122123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/13 - 62*m**3\/13 + 198*m**2\/13 - 202*m\/13 + 68\/13.\nAnswer: -2*(m - 1)**3*(m + 34)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 576\/120*(-15)\/(-9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5)*(10*p + p - 6*p).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 - w - 7*w**2 + 2 - 2*w + 5*w**2 + w**3 to the form g*w**2 + a*w**3 + n + q*w**4 + l*w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -134399.\nAnswer: -6\/134399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 655*b - 689*b + 204. Suppose 4*q - 21 - 35 = 0. What is the lowest common multiple of b and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/23, 1\/9, 4 in descending order.\nAnswer: 4, 4\/23, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x + 74. Let w be v(-9). Let n = -39 + 45. Suppose 0 = -w*m + 10, -i - 4*m + 140 = -n. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4291140 is divided by 12621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/43 + -37\/129. Let l = 0 - 4. Let q = 0.05 - -1.95. Which is the biggest value? (a) q (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 7, -16, -59, -128, -229, -368?\n\"Answer: -h**3 - h**2 + h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1503 - 1429.9. Let g = 76.1 - m. Are 0.82 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9857*d + 94 = -9865*d - 2, d + 10 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*i + 15*i - 159 = -257 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1074 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266*9\/18*1 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*t = 24806, -t - 5745 = 2*k - 22274. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 26 + 27 = s, -3*b = 3*s + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -423867*k + 4181.\nAnswer: -423867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6225 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -15628815734392.\nAnswer: -15628815734392.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-173*2)\/((-2 + 8)\/(-24)). What is the common denominator of 53\/27 and f\/504 - 2\/(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1\/5, -2\/13, 2\/1199 in descending order.\nAnswer: 2\/1199, -2\/13, -1\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -986 - -984. Let n(i) be the first derivative of 9*i**2 + 9. Determine n(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 679616 and 12544.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 31*f**2 - 3*f**3 - 6 - 24*f**2 + 4*f**3 + 8*f. Let i be h(-5). Solve 2*s + 4*r = -8, -i*s - 1 = 2*r + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 (base 9) in base 7?\nAnswer: 5505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a week in minutes?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t*t*t)\/(t\/(t*t*t**(1\/13)*t*t)*t*t)*t**(-1\/14)*t*t*t\/((t\/(t\/t**8))\/t*t))**(-1\/16) assuming t is positive.\nAnswer: t**(-729\/2912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*h + 9, 5*s + 7 = h + 2. Put 0, s, -2\/15 in ascending order.\nAnswer: s, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -54. Suppose -3*r - 5*g - 10 = 0, -3*r + m = r - 2*g. Let t(c) = c**2 - c + 2. What are the prime factors of t(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13362 - 10656 = -36*c - 20418 for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(2\/13)*(m*m\/(m\/m**(-3)))**(-12\/17) assuming m is positive.\nAnswer: m**(482\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let a(f) = -8071*f**2. Calculate a(y(u)).\nAnswer: -8071*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {x: 1, l: 1, e: 1, a: 2, z: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((348\/(-48))\/29)\/(3\/(-72)*-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:28 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3 - 3)*(-1 + 7 + 3) + 2*d + 3*d - 3*d - 3*d - 3*d + 4*d.\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*a - 8*a + 23 = 0, 0 = -2*w + a - 6. Does 14 divide 28\/((1*-1)\/(-2 - w))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -2\/5*g**3 + 0*g - 6*g**2 + 1\/100*g**5 + 0 + 0*g**4. Solve u(j) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4, 1519, 3, -1 in decreasing order.\nAnswer: 1519, 26, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3782 + -1773. What are the prime factors of v?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -180*c + 77. Let x be g(-8). Suppose -23*b + 20*b - 5*s = -x, b = 2*s + 491. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -6*l - 16. Suppose 840 = -4*q + l*q. Let d be (-84)\/70*q\/(-3). What is the greatest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-3)\/(-54)*((-248)\/(-279))\/((-6006)\/(-351)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i - 280 + 0 = 650 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2887 divide 498937114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5741 (base 12) to base 10\nAnswer: 9697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 160. Let y = -98 - i. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042102*g - 2*g**2 + 2*g**2 - 15*g**3 - 1042102*g.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*h + 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -718? (a) -4 (b) 16 (c) 2 (d) 3\/5 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 14*w**2 - 4*w + 32. What is the tens digit of g(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290.2218 rounded to one dp?\nAnswer: 5290.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iytsxyiiti. Give prob of picking 1 y, 1 x, and 1 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22221 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 3*h + h**2 + (-315*h - 241*h - 283*h)*(-8 + 1 + 3)*(0*h + 0*h - h)*(1 - 1 - 1).\nAnswer: 3357*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7431 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5346 - 3711. Suppose -697 = z + 459. Let p = y + z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/60 + 8*g**3\/3 + 3*g**2 + 3*g. Does 45 divide k(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 13*l = 5*j - 28, 2*j + 4*l = -8. Solve -2*h = -2*p, 4 = j*p + h - 6*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25376358 divided by -56.\nAnswer: 1812597\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-79 + 9 + -21 - -14).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 22*v - 48 = 0. Let w(q) = -4*q**2 + q**3 + 2 + q + 3*q**2 - 3*q**2. What is the remainder when w(5) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 - -193. Suppose -5*p = -808 - z. What are the prime factors of p?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -1\/3, -36\/1351?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(117)*-3 - sqrt(117))**2*3 + ((sqrt(1872)*-4 - sqrt(13) - sqrt(13)) + sqrt(13))*4 + 5.\nAnswer: -196*sqrt(13) + 42476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 334 and 12?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 4, -8 in decreasing order.\nAnswer: 6, 4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 46 = -11*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22823536\/567 + -40253. Find the common denominator of o and -25\/693.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 118434, 118336, 118224, 118092, 117934, 117744, 117516, 117244?\n\"Answer: -h**3 - h**2 - 88*h + 118524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q**3 + 335*q**3 - 121*q + 424*q**3.\nAnswer: 722*q**3 - 121*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -141*i**3 - 24*i + 5159. Let q(u) = -143*u**3 - 27*u + 5161. Let s(o) = -7*m(o) + 6*q(o). What is the first derivative of s(r) wrt r?\nAnswer: 387*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixwf when four letters picked without replacement from iwffxfx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 821.58 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**3 - 3*j**2)*(3 - 4 - 1 + 2 - 2 - 1 + (3 + 2 - 7)*(4 + 0 - 3) - 33 + 2 - 4 + 2 - 2 - 2 + (3 + 3 - 4)*(-1 + 6 - 3) + 0 + 3 - 2).\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.0153 and 0.6.\nAnswer: -1.20918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -3*x - 3\/80*x**5 + 0 + 0*x**3 + 0*x**2 + 0*x**4 + 1\/40*x**6. Determine j so that y(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l. Let i be o(3). Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(10\/9)\/(z*(((z\/(z\/(z**(-20\/7)*z)*z))\/z)\/z*z)\/z)*z\/(z*z\/(z**(-6\/17)\/z))*z\/(z\/(z*z*z**(-22)*z)) assuming z is positive.\nAnswer: z**(-17548\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.282.\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 1\/27*z**3 - 2\/9*z**2 - 7 + 1\/54*z**4 - 14*z. Let x(u) be the first derivative of o(u). Factor x(h).\nAnswer: 2*(h - 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.22136814 rounded to 2 decimal places?\nAnswer: -61.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -4, 5 in ascending order.\nAnswer: -4, -5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:29 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 143156189?\nAnswer: 1288405701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 + 9*s - 10. Let b be i(7). Suppose 3 - b = -y. Suppose -y = -w + 3. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5 - 2, 2*r + 1 = i. Solve 2*j - r = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - g + 57*g**2 - 15*g**2.\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in -0.5, -1\/6, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 479586, 4 in decreasing order.\nAnswer: 479586, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*a + 7660 = -599*a + 1601 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-10)\/((-3)\/(-6)*-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -4a?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 2*z**3 - 4*z**3 + (-2*z**2 + 0*z**2 + z**2)*(3*z + z - 3*z) + z**3 + 4*z**3 - 3*z**3 + 172*z**2 + 168*z**2 - 69*z**3 - 338*z**2.\nAnswer: -67*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 762*m + 70463. Determine i(223).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 11*s**2 + 2*s - 114. What is q(-13)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8854000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = 20*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eteaunnf. What is prob of sequence tn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26424 + -26420. What is the nearest to 3 in b, -0.4, -4, 15\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15399028*q**4 - 1395268 wrt q.\nAnswer: -61596112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32296.75ml?\nAnswer: 32.29675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 13*v**2 - 2 + 2*v - 16*v**2. Calculate w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-6) + -42 + 36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 32. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 9*n. Suppose 0 = -5*u + l + 47, 5*u = 3*l - n*l + 41. Is (u\/(-8))\/(4\/(-32)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 19. Let z = -7 + p. Suppose 4*w + 83 = -4*a + 267, -189 = -4*a - z*w. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/65 + 22\/10. Suppose 0 = -5*b + 5*o + 65, -2*o + 12 = b - 10. Suppose b = v + 3*v. Solve -2*h + n = v*r, 2*r = -5*h + r + 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -288\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3862*g*l*m**4 + 77*g*l + 2*g + 2*l - 31 wrt m.\nAnswer: 15448*g*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6269 = 43*j - 6441 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2\/(-6)*-9. Let l = j - -10. Find the second derivative of -u**3 + u**3 + 45*u**4 + 7*u - 49*u**l wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f**5\/4 - 83187*f**4\/4 + 124857*f**3\/2 - 69379*f**2 + 33922*f - 6168 = 0. What is f?\nAnswer: -3084, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 757 = t + 2*i, 3*i + 12 = 0. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3.4. Let v = c + -2.6. Is v not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74782.28mm to micrometers.\nAnswer: 74782280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + (2*sqrt(68) - sqrt(68)) - sqrt(68))*1 + 1)**2 + (-2*(sqrt(1700) + 0 - sqrt(1700))**2 - (sqrt(1700) - (sqrt(1700) + -1)*-3))*5.\nAnswer: -212*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 11. Let j(r) = r**2 - 2*r - 5. Let c be j(4). What is the greatest common factor of o and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 3, 13, 23, 33, 43?\n\"Answer: 10*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 3. Let z be p(9). Suppose 4*i - z = 24. Factor 0 - 2*t**4 - 12*t + 4*t**4 - 5*t**4 + 12*t**3 + 12 - i*t**2.\nAnswer: -3*(t - 2)**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072513285?\nAnswer: 5, 61, 3516437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 37. Let k = 4.89 + 0.11. Suppose -4*w - 3*t + 2 = 0, 5*w + 9 = -4*t + 12. What is the smallest value in w, r, -0.4, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*3\/2. Let p(x) = -9*x - 22. Let v be p(-3). Suppose -v*l = 5*o + 15, 5*o + 4*l = 7*o - 12. Solve q + r = -o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -58.\nAnswer: -27\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 + -1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 2. Let s(g) = -5*g + 3. Let x(o) = 5*m(o) + 3*s(o). Let k = -9 - -21. Let u = 11 - k. Give x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (-95)\/95?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -13*k + 11. Solve -3*r = 3*o - 2 - k, -4*r = -4*o + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smt when three letters picked without replacement from tmtmtmmmmmtmstmmmmt?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 98806 in -2\/43, 3, 0, -3\/7, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 take away 1886.9?\nAnswer: -1887.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 31 = -4*u + u, 3*u - 280 = 34*u + x for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 31. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 9*q - 6*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + (sqrt(396) - (sqrt(396) + 1 + sqrt(396))**2)*2 + (sqrt(396) - (2 + 1*sqrt(396)))**2 + 2)*4.\nAnswer: -12661 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + -6 + 14 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0893 * -4\nAnswer: 0.3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 divided by -76622.\nAnswer: 20\/2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Let x = 77 - 77. Sort x, 2, q.\nAnswer: x, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 23) + 1 - -11?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -28. Suppose -i + f*i + 86 = 3*s, -2*i + 8 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 + 691 = -35*k - 114 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011001101110101 (base 2) to base 10.\nAnswer: -504693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4691?\nAnswer: 4691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34251.165953 and 0.5.\nAnswer: 34251.665953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19789307717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 69.11773 kilometers?\nAnswer: 69117730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -19, -4\/7, -2 in descending order.\nAnswer: -1\/2, -4\/7, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -77.4176 times 0.14\nAnswer: -10.838464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {v: 4, f: 4, p: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00651732632 - 2014.86960432632. Let u = -2006.163 - f. Let x = u + -8.7. What is x rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.497 + 68.707. Let t = -62.11 + -1.89. Let a = h + t. Round a to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2368 divided by 148\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22dbb0 - -2?\nAnswer: -22dbae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 2\/9 (c) -3 (d) 534 (e) -27 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -80*y - 19. Let u be a(-7). Let t(x) = -2*x - 1. Let o be t(-3). Suppose -o*v = -354 - u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-370080)\/(-104))\/60 + -59. What is c in -y*c + 0 - 18\/13*c**3 - 22\/13*c**2 = 0?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -17*y**2 - 26*y - 7. Let x(j) = -9*j**2 - 13*j - 3. Let r(m) = 3*v(m) - 7*x(m). Find the second derivative of r(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(375\/(-5250))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 3046806.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2804*d - 5606*d + 2802*d + 158*d**2 + 272*d**2.\nAnswer: 430*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 21 = -30. Suppose 145 = 4*l - r. Suppose 47*w = -6*w + 218 + 153. What is the greatest common factor of l and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:54 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153)\/sqrt(81) - (sqrt(17) - ((sqrt(68) + 1*sqrt(68))\/sqrt(4))**2) - ((sqrt(1088)*-2 + sqrt(1088))**2 + -5 + 0)).\nAnswer: -1012 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*r + 3657, 758*r = 755*r - 12. What is the highest common factor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639, -2553, -5839, -10575, -16839, -24709?\nAnswer: -34263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -122. Let c be 240\/5 - (b - -14). Calculate the greatest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/11607 and -91\/954?\nAnswer: 69642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 = 18. Let l(x) = x**2 - 1. Let u(f) = 10*f**2 + 49*f - 8. Let i(t) = t**2 + 16*t - 1. Let n(w) = 3*i(w) - u(w). Give z*l(k) - n(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443.8461 centuries to millennia.\nAnswer: 44.38461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4503813 is divided by 1379?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 195 (b) 67 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -18*c + 310. Suppose 3 + c = 9*o. Let s = -21 - -27. Solve -s = o*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/12 - (-40)\/(-12). Put 7, l, 1 in ascending order.\nAnswer: l, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/19 (b) 0 (c) -6 (d) -152 (e) 5 (f) 4 (g) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 548308173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-9) + 22\/1287*13. Suppose -4*a + s = -3*s - 1984, -5*a = -p*s - 2477. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*p + 3, 0 = 42*p - 4*j - 63 + 181 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12593575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjmhrkn. Give prob of picking 1 m and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136899 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-1)\/(-25))\/(10\/75*3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 3*x - 16, 28 - 39 = -3*a - 4*x + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34517\/1593 - -2\/1593. Is -21 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -197, -294, -391, -488, -585?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4320 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8205312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 40\/7 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37229813 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -3*m**5\/4 - 9*m**4 + 78*m**3\/5 - 48*m**2\/5 - 94*m. Suppose i(j) = 0. Calculate j.\nAnswer: -8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u. Let q = 27 - 18. Suppose u = -2*i - 4*s - 12, 3*s = 4*i - 0*s - q. Does 2\/21 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16724 and 343068?\nAnswer: 12693516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:24 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 24. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9856\/21)\/16)\/(22\/(-1782)*27)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baa when three letters picked without replacement from nkabauf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from dnhdncugnggdu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -5*a**3\/2 + a**2\/2 - 1018*a. Let j(f) = -11*f**2. Determine j(d(c)).\nAnswer: -2475*c**2 + 330*c - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/3))**(-48)\/((c**(1\/4)\/c)\/c)**41 assuming c is positive.\nAnswer: c**(223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2 - 4*y**2 - 21915*y + 21911*y + 0*y**2. Let d(h) = -5*h**2 - 4*h + 2. What is 5*d(c) - 6*f(c)?\nAnswer: -c**2 + 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40918888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let x = -2 - g. Is x + (-2)\/(-1) + 13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose 0 = 6*q - 1936 + 1954. Put q, z, 1 in descending order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5\/3 (c) -2\/19 (d) 0.7 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 13. Let m be b(-9). Find the third derivative of -m*s**3 + s**2 - 4*s**3 + 6*s**3 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73292 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 21*n + n**2 + 22*n - 9 - 49*n. Give o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 16281\/18670?\nAnswer: 16281\/18670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(1377) + 0)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 18*v - 24. Is v\/4*(6 - -126) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**5 - j**3 - 3*j. Let f(l) = 1392*l**5 - 3*l**3 + 3487*l**2 - 9*l. Let u(c) = -f(c) + 3*k(c). What is the third derivative of u(p) wrt p?\nAnswer: -83340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and 0.109.\nAnswer: -0.03924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*g + 83, 22*g + 5*j - 130 = 27*g. Find the common denominator of (-14)\/g + 129\/(-198) and -49\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4140 + -4139. What is the second smallest value in -2\/3, -0.54, 4\/5, h?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 8. Let t be j(-7). Suppose -101 = -o + t. Suppose u - 2*k - 24 = 0, -o = -4*u + 5*k - 35. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*4 - sqrt(68))*-2) + (sqrt(68)*2 - sqrt(68))*-4)\/(-5*4*3*sqrt(400)).\nAnswer: -sqrt(17)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 42*h - 125804 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 2172?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 6*r**2 - 60 + 9*r + r**3 - 7*r**2 + 3*r**2. Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3224613483?\nAnswer: 3, 7, 13, 437473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*h**2*x**2 - 2*h**2*x - 59198*h**2 - 2*h*x + 97*x - 1 with respect to x.\nAnswer: -74*h**2*x - 2*h**2 - 2*h + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1464360 and 7.\nAnswer: 10250520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1173, -2034, -2885, -3732, -4581, -5438, -6309, -7200?\nAnswer: -8117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 22. Suppose 2*c + 5*q + 10 = 0, -2*c - 3*q = 4 + 2. What is the units digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 574*f - 49638. Give c(-106).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2665 divided by -2665.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/31652 and 39\/8.\nAnswer: 63304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.2 (c) 11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2)\/2*1. Let k be (a - -1)*3*5\/(-15). What is the remainder when k\/2 - 664\/(-16) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 30. Let f be d(0). Let b be 13\/5 - (-12)\/f. What is the derivative of -v**b + 0 + 4*v**3 + 0*v**3 - 2 wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 711 - 507. Suppose 3*j - p = 2*j. Let y = j - 115. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006060058 rounded to six decimal places?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -0*k - 3*k + 4*v, -82 = -5*k + 2*v. Let m be (5\/(-3))\/((-6)\/k). Suppose -m*a + 6 = -4*a. Solve 5*z - 5*g = 15, 3*g + a + 0 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3493 (b) 2\/5 (c) -0.3 (d) 4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267*j**3 + 242*j**2 wrt j?\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 7626018.\nAnswer: 38130090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**4\/4 - 5*x**3\/2 - x**2\/4 + x.\nAnswer: x*(x - 1)**2*(7*x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**6\/15 - 115*g**2\/2 - 12*g + 5. Find the first derivative of s(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/30 + (-193)\/(-5). Suppose -22 - x = -y. Suppose 3*f - f = y. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 14*a + 54. Let z be g(6). Solve -3*q + 10 = -8*q - 2*u, 3*q + z = -3*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliiillliililillilil. What is prob of picking 4 i?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-902)\/165)\/(34153\/(-2499))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:58 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 44 = -8. Calculate the remainder when 103 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337426 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-4) + (-12)\/32*(-3526)\/(-123).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 124*z**2 - 31 - 3*z**2.\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 404646851.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(7)) + -4 + sqrt(63) + (6*sqrt(21)\/sqrt(3) - sqrt(28)\/sqrt(64)))**2 + ((0 + sqrt(3388))**2 - sqrt(28) - (2 + sqrt(252))**2) + -4.\nAnswer: -207*sqrt(7)\/2 + 57175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 811 and 3262653.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4485\/7 + -641. Which is the closest to 44? (a) 3\/5 (b) -0.3 (c) 2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*m - 61252 + 5320, 4*o - 3*m = 55953. Calculate the highest common divisor of o and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4280000 = -3*i. Round i to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 616 - 616 + q**2.\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 840 - 552. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**4 + 6*i**3 + 8*i**2 - 6*i - 1. Let k(l) = -6*l**4 - 7*l**3 - 9*l**2 + 7*l + 1. Let s(j) = -6*k(j) - 7*x(j). Factor s(h).\nAnswer: (h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 60*m**3 - 19*m + 2*m**4 + 9*m + 4*m + 8*m as g + h*m**3 + k*m**2 + p*m**4 + u*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 3 + 3 - 3 + 2*i. Determine j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 - 2*z + 1. Let p be r(-2). Which is bigger: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a second in milliseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.84 + -11. Let o = l + 0.16. Which is the biggest value? (a) -2\/9 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 23.815. Round u to two decimal places.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((3 - (-2 + 2)) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 36\/501509?\nAnswer: 36\/501509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgjt when four letters picked without replacement from ghtjtothjjh.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204890 + -164366. Let b = -369179.0178 - q. Let n = b - 77. Round n to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 25 = 3*f, -5*u = f - 23. Suppose n + 1 = -f, -5*b - 5*n + 1995 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 0. Let o = d + 3.03. Let r = o + -3. Which is the nearest to -1? (a) -4 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2. Let t(k) = k - 11. Let y(n) = 11*m(n) - 2*t(n). Suppose -c = -2*u - 29 + 4, -5*u = 3*c - 130. Let w(f) = 31*f + c*f - 68*f. Calculate y(w(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)*1*-4. Let x be ((-29863)\/3)\/(105128\/(-35040) - -3). Suppose i*o = 3*u + u + x, u + o + 10900005 = 0. What is u rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + w + 8 = 0, 2*y = 3*y - w. Let x be 2\/(-8)*y\/5. Suppose 0 = -2*q + 14*b - 11*b + 17, 3 = -2*q - b. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5. Suppose -4 - 5 = -3*u. Let v(n) = -n**4 - 6. Let x(g) = u*v(g) - 4*t(g). What is the first derivative of x(q) wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 - u**2 + 4*u. Let o(t) = 2*t**3 - t. Give 4*i(c) + 11*o(c).\nAnswer: 2*c**3 - 4*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/33 + 1 - 596\/4004. Which is the smallest value? (a) x (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -127. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - o**2 - 13*o - 8. What is the tens digit of j(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 7*h**6\/15 - 9*h**5\/5 + 10*h**4\/7 - 8*h**3\/21 - 23*h. Factor a(f).\nAnswer: 2*f*(f - 2)*(7*f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let d(c) = -2*c**2 + 433. What is z(d(k))?\nAnswer: 4*k**2 - 866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5)*t)**42*t**7\/((t\/t**(1\/5))\/t))\/(((t*t\/t**(-2\/9))\/(t*t**(5\/2)*t))\/(t**(1\/9)*t*t*t**(-1\/2)*t)) assuming t is positive.\nAnswer: t**(1016\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 d when four letters picked without replacement from xbyxjxxxxxdmyjbyxxj.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597, -1189, -1779, -2367?\nAnswer: -2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*6*sqrt(24))\/sqrt(4))\/(sqrt(750)\/sqrt(10) - sqrt(108)*5).\nAnswer: -36*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -8 + 6 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-48)\/84)\/(2\/14) + 749?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.9 and 4.3?\nAnswer: -68.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 7*g**2 + 6*g + 8. Let d(q) = -6*q**3 - 20*q**2 + 17*q + 23. Suppose -61 = -3*k - 5*w, 0 = -k + w + 3 + 12. Determine k*j(o) - 6*d(o).\nAnswer: 2*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.768512ug?\nAnswer: 0.000001768512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 + 6*u - 2. Let y(t) = -t**2 - 1. Let k(w) = -c(w) + 6*y(w). Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*d**3 + 180*d**2 + d - 21518 wrt d?\nAnswer: 33*d**2 + 360*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*q**5 - 683*q - 185*q**5 - 79*q**5 wrt q?\nAnswer: -7640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 18 = 5*i, i - 7 = 5*n + 1. Let o(y) be the first derivative of 9 + 9\/2*y**2 - y. What is o(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 + 111338*g**2 + 2 + 110804*g**2 - 222142*g**2.\nAnswer: 8*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8859890 divided by 260585.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 940\/(-282)*((-14)\/(-4))\/(-7)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**10\/d)*d*d**(3\/4)*(d\/(d*d\/(d\/d**9*d)*d))\/d**(-3\/7) assuming d is positive.\nAnswer: d**(-415\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*c + 1437 - 1437)*(-2 - 3 + 4 + c).\nAnswer: 45*c**2 - 45*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34842267 is divided by 1735.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*w + 4, -56*w = -5*j - 52*w - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Suppose 3*b + t + 1 = -c*t, 0 = -2*b - 3*t. What is the third derivative of -4*o**3 - b*o**2 + 20*o**2 - 4*o**2 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385065 and 2335545?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2206*n + 501*n + 4028 + 570 + 3927 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/8 - -2)\/2. Let m = 0.01846 + 3.98154. What is the nearest to -2 in m, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 2, w: 4, f: 2, s: 3, x: 2}. Give prob of sequence fwd.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -20, -85, -206, -401, -688, -1085, -1610?\nAnswer: -2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 437122, 437136, 437176, 437254, 437382, 437572?\n\"Answer: 2*u**3 + u**2 - 3*u + 437122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1950 and 155\/156.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97453, 194906, 292361, 389818?\nAnswer: 487277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336\/309857 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2. Let h(i) = -3 - 24*i - 7 + 25*i + 2. Let s be h(10). Let l(p) = 0*p**2 - s*p**2 + 8*p**2. Determine f(l(q)).\nAnswer: -180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y**2 - 2*y**2 - 3*y**2)*(117 - 298*y + 126 - 243 + 1353*y) in the form a + x*y**2 + q*y**3 + n*y and give q.\nAnswer: -13715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/9 and 456\/(-99) + 0 + 4.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by 15.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 249+-1.7\nAnswer: 247.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13556514 to the nearest integer?\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 447549847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-5)\/(120\/6)). What is the third derivative of -71*d**j + 16591*d**3 - 1 + 7*d**2 - 16591*d**3 wrt d?\nAnswer: -1704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f + 603. Let z be a(51). Sort z, -1, -6, 1 in descending order.\nAnswer: 1, -1, -6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = 4. Suppose 4*m = -f + 18. Suppose d = -4*s + 18, 0 = -4*d - m*s - 0*s + 24. Solve h - 2*v - 2 = 0, -v = -5*h + 12 - d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71\/52 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 22*p**2 + 3*p - 10. Let s be l(6). Suppose -2*b = 3*b - s. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51930946 and -3640.\nAnswer: 51927306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*l + 426 - 481 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 - 41*f - 267. What is the remainder when 623 is divided by g(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 12. Let w be t(-8). Suppose -8*o = -4*o - w. Suppose -2*p - d = -32, 2*p - 24 = -o*d + 16. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 275459 - 275460.399956. Let q = -6.4 - -5. Let s = d - q. What is s rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -6) + 555 + 1. Suppose -4*c - 94 = -t, 5*t = 2*c - 0*c + m. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -3 + 3)*-1. Let w(q) = q**3 + q**2 - 6. Determine w(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 25958150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-26)\/(-52) - (-10955)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10856, 11422, 12950, 15920, 20812?\nAnswer: 28106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:33 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*k = -0*m - 53, -3*k = -5*m + 173. Suppose 16*f + 5 = m. Solve s + f = -3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkqr when four letters picked without replacement from {q: 1, k: 1, p: 1, m: 2, i: 7, r: 2}?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/137, 0.04, -1\/4, -6\/11, 0.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 7*f**4\/24 + 3*f**3\/2 + 3*f**2. Does 13 divide c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3\/5)*c)**(-1\/57) assuming c is positive.\nAnswer: c**(-13\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -117. Let d = p - -4. Let l = 65.7 + d. Round l to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -379 - -264. Suppose 3 = 2*h + 5*b - 29, -3*h + 29 = -2*b. What is the remainder when (-3404)\/u + (-6)\/10 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*v - 36 + 4, -5*a + 3*v - 48 = 0. What is the lowest common multiple of ((-3)\/(-9))\/((-1)\/a) and 1\/(-2 + 39\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 2, y: 2, l: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and ((-28000)\/240)\/(8\/(-105)) - (-5)\/(-20).\nAnswer: 16841","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 904341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-6 - (6 + -20))) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181728\/112 - 8\/14.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 + -0.04. Let q = 30 - 34. What is the biggest value in -2\/19, q, z?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.2, -906, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1219 - 704. What are the prime factors of m?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k - 2671 - 1655 = 0 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + 1. Let h be f(1). Let c = h + 1. Solve -c*t + 2*t + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4544505340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-24)*0\/1. Put d, -5, -4 in ascending order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/24 - a**3\/3 - 50*a**2. Determine f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*(2 - 3) + 1. Let d be (j\/(-78))\/(0 - 1). Is 0 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 3*m**2 - 2*m**2 - 6*m**2 + 16*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -2.34\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6556 divided by 3278?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16. Solve -f = -q*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512940.\nAnswer: 2, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152, -327, -502, -677, -852?\n\"Answer: -175*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -414756, -414767, -414770, -414765, -414752, -414731, -414702?\n\"Answer: 4*c**2 - 23*c - 414737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 19*q + 38. Calculate i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13*q + 358. Let m be l(26). Solve -135*k + 139*k - m = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*t = -3*z + 18, 5*z - 4*t - 26 = 0. Let s(w) = -116*w - w**3 - w**z + 235*w - 116*w - 3. Calculate s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from dzddzddzzd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 954, 1910, 2866, 3822, 4778, 5734?\nAnswer: 6690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33611461, -33611469, -33611479, -33611491, -33611505?\nAnswer: -33611521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (9 + -7) - 11 - 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 5*a - 5. Let k(i) = 4*i**2 + 4*i - 4. Let z(y) = -5*k(y) + 4*r(y). Let p(t) = -3*t**2. Determine z(p(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -242740 times -199?\nAnswer: 48305260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 52*t + 155\/3.\nAnswer: (t + 1)*(t + 155)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y**7\/y)\/y)))\/y**(-2\/41))**15\/((y*y*y**0)**37*(y\/(y\/(y*y**(-1\/10))))\/y**(-3\/4)) assuming y is positive.\nAnswer: y**(12367\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 2*s + 7*s + (-4*s - 3*s + 4*s)*(-2 - 4 + 5).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*h - 4*l - 164, 3*h - l - 199 = 0. Let s = -19 + h. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -134694195 and 4.\nAnswer: -134694191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 12 - 45. Let b(t) = 7*t**3 - 7*t**2 - 6*t - 6. Let x(q) = 13*q**3 - 13*q**2 - 11*q - 11. Let s be (1 + -2)\/((-1)\/6). What is n*b(w) + s*x(w)?\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-9) + -1)\/(8 - (-779)\/(-114)) + 2.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29033 is divided by 705.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 + 12*y + 591205. Let i be z(0). Suppose 2*n + 0*c + i = 5*c, -5*n - 1478001 = -c. Round n to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 72 + 3*i**2 - 12 - 61*i**3.\nAnswer: -61*i**3 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45676 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*q + 75*q - 18*q**2 to l*q + j + b*q**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-266728)\/711616 + (-9)\/(-24). Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 33*h + t - 19 = 0, 2523*t - 2518*t + 37 = 2*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*3)\/(sqrt(24)\/sqrt(3)*-5))**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 207*j**2 + 1377*j + 127. What is the hundreds digit of i(97)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ab (base 13) to base 2\nAnswer: -111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -653*v**5 + 6*v**3 - 4*v - 3030.\nAnswer: -13060*v**3 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - f + 74 = 0, 17*p - 11*f + f - 285 = -1092 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:20 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23124013 (base 5) in base 15?\nAnswer: 41973","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 + 2*s - 3. Calculate f(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*c - 23244816. Let i be 2\/1 - (3131222 - 16). Let y = c + i. What is y rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73490 in 0.2, 0.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 12*k + 2. Suppose 5*l - 2*l + 36 = 0. Let d be i(l). Solve -3*n = u - 2, 2*u + n = 3*u + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5\/3)\/y*y)\/y*y*y*y**11*y)**(-11\/6))**48 assuming y is positive.\nAnswer: y**(-2992\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*v - 5792 + 5792.\nAnswer: 221*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let c = 0.2 - 1.8. Let n = c - h. What is the second biggest value in 1\/2, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:25 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 8. Let j be x(4). Let w be 12\/(-10)*10\/j. Suppose -c - 138 = -w*c. Calculate the remainder when c is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 minus -196.1?\nAnswer: 195.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n**2 + n + 1. Let j be l(-1). Suppose 0 = 5*b - 3*b - j. Suppose 2*r + 195 = b*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 511*h**2 - 8712*h + 417. Give m(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:56 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 85*b - 118. Is a(-61) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-4 + sqrt(68) + 0 + sqrt(68) + (sqrt(68) + 0)*-6 - (1 + 0 + sqrt(68))*-6) + -3)*-1)**2.\nAnswer: -32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*p + 27, -3329*b = -3328*b - 4*p - 30. Solve -3*i - 9 = -y - 2*y, -29 = b*y + 5*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - p + 8 = 0, 5*g - 2*p - 14869 + 14896 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:28 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -15*d - 18350. Let a = d + 2338. List the prime factors of a.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 218*y + 107015200 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**7\/14 + b**6 + 33*b**5\/20 - 5178*b. Factor o(g).\nAnswer: -3*g**3*(g - 11)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 8) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 a factor of 3948021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 4*i**2 - 3 - 71*i**3 + 73*i**3 - 5*i**2 + 7*i**4 in the form h*i**2 + y*i + s*i**4 + d + w*i**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2 + 0*c + 7*c - 3*c. Let i = 635 - 566. Let q(v) = i*v + 2*v**2 - 69*v. Determine b(q(f)).\nAnswer: 8*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - 1.7. Let r = 5.85 + 0.15. Let f = t - r. Sort f, -4, 0.\nAnswer: f, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1807*o**2 - 29059*o?\nAnswer: 3614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x - 1754. What is the least common multiple of g(-93) and 581?\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 344.5900002 - 344.47. Let n = k + -0.12. What is n rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 2*u - 3. Let g(c) = 2*c**2 - 3*c + 5. Suppose -2*f - 13 = y - 2*y, 5*f - 4*y + 40 = 0. What is f*g(x) - 7*q(x)?\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35870395139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/59, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/60 - 38\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 0*h)*(2 - 5 + 2)*(18 + 1 - 1) + 1 - 1 + h.\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-22)\/(-2)))\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*r = 15822, 5*d - 46*r + 47*r - 39600 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10970259.17 rounded to the nearest one hundred thousand?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*v**3 + 504*v**2 + 1448 - 6466 + 13800*v - 582.\nAnswer: -2*(v - 70)*(v + 20)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3907, -11212, -18517?\nAnswer: -25822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 3*m + 16. Let v = 157 + -152. Let z be y(v). Solve -z*h = -5*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 1 t when three letters picked without replacement from tsstjttstpsytkspt.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 6, e: 3, o: 1, j: 1, f: 2}. Give prob of sequence xjo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -41 + 18 + 2 + 1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711817.\nAnswer: 711817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980258613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*i - 751*i = -522 - 438 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 16. Let v = s - -62. Calculate the greatest common divisor of v and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14153 + 325122?\nAnswer: 310525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838*h = 839*h - 3*i + 7, -2*h = 3*i - 31. What is the greatest common divisor of 13544 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 5, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z + 14. Let a(n) = -4*n**2 - 45*n - 320. Let y(r) = -3*r**2 - 46*r - 320. Let x(s) = -2*a(s) + 3*y(s). Let l be x(-8). Determine i(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1386 and 73\/38010.\nAnswer: 1254330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7368*l - 346300. Give i(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**8\/168 + o**5\/10 + 7*o**2. What is the third derivative of m(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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 -3 (base 15) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/19? (a) -2\/13 (b) -10\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 92*q**4 + 40*q**2 - 7*q. Let b(d) be the first derivative of d**2\/2 - 46. Let x(o) = 6*b(o) + m(o). What is the third derivative of x(j) wrt j?\nAnswer: 2208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 6 - 22. Let t = 7 + -6. Sort r, 5, t in ascending order.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 24 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/78 and (292\/(-14)*238\/(-68))\/14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -171, -328, -535, -792?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58 - 171*z - 72 + 153*z + 3*z**2 - 67.\nAnswer: 3*(z - 9)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = 284*i - 319*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3049, 2591, 1843, 805?\n\"Answer: -145*d**2 - 23*d + 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 219399*f - 219399*f + 8 - 8.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 2*v**2 - 22*v - 94. Give b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218137 less than -177.447?\nAnswer: -218314.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367640238 > 1367640238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 2. Give y(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 10*i + 13. Let d be g(12). Suppose 4 = -3*r + d. Suppose 0 = -2*y + 1 + r. Solve -c - y = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 585482, 2341907, 5269284, 9367613, 14636894?\n\"Answer: 585476*r**2 - 3*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 - 4*p**2 + 6*p. Let x be 45\/12 - (-3)\/12. Let h be u(x). What is the units digit of h\/(-16) - (-2)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 42*f**2 + 416*f + 177. Give q(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14860 - -14865. What is the nearest to -4 in -0.0829, -4, q, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567908 = 65*f - 588572. What are the prime factors of f?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/973283 or -4\/5?\nAnswer: -1\/973283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20068877?\nAnswer: 89, 225493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -12562535.\nAnswer: -1256253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*o**2*s**3 + 8446*j**3*o**2*s**2 - 18727980*j**3*s**3 + 13*j**3*s - j**2*o - j*o**2*s**2 wrt s?\nAnswer: 12*j**3*o**2 - 112367880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 272, 289, 324, 383, 472, 597, 764?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-11)*v)\/v)\/(v\/v**7))\/(v**13*v*(v**16*v)\/v))**(1\/22) assuming v is positive.\nAnswer: v**(-35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264477.9 millilitres to litres.\nAnswer: 264.4779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.038 + -0.138. Let j = -1\/12 - -1\/4. Which is the biggest value? (a) j (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -16. What is the biggest value in -3, -2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10042152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/6 and -83\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1005*x - 562*x**2 + 2030 - 361*x**2 + 918*x**2.\nAnswer: -5*(x - 203)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 23*l**2 - 11*l - 5. Let y(j) = -12*j**2 + 6*j + 3. Let p(d) = 3*m(d) + 5*y(d). What is the second derivative of p(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -128, -191, -254, -317, -380?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i + 244 - 10*i + 71*i - 8*i - i.\nAnswer: 3*i + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 213051713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c + 4*s = 551, -2*c = -5*s - 329. Let j(v) = -c*v + 2*v + 51*v. Let d(r) = -2*r**2. Determine d(j(l)).\nAnswer: -30752*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) -1 (c) 3 (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*p + 4*p + p - 3*p + (1 - 2 + 2)*(4*p - p - p))*(-226*p + 9 + 228*p - 36)*(1 + 4 - 4) + 292*p - 292*p + 225*p**2.\nAnswer: 237*p**2 - 162*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b**2 + 262*b - 1316. What is l(16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 3. Is 3 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 451438, 1805745, 4062928, 7222993, 11285946, 16251793, 22120540?\n\"Answer: j**3 + 451432*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25600000 = 5*g - g. What is g rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9\/4, -2\/15, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8261 (base 11) to base 13.\nAnswer: 4cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1468*v + 20704. What is p(-14)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1287.9 - 1288. Which is the closest to v? (a) 1\/4 (b) 1\/5 (c) 6 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -20*m. Let h(z) be the second derivative of z**3\/3 - 22*z. Calculate h(w(k)).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {x: 1, k: 1, v: 1, l: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505426, -1010876, -1516326, -2021776, -2527226?\nAnswer: -3032676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30904*v**5 + 34522*v**2.\nAnswer: 1854240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15480222?\nAnswer: 2, 3, 31, 83227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19 and 2235.0504.\nAnswer: 2234.8604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.05426 millilitres in litres?\nAnswer: 0.02905426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17a3c6d - 0?\nAnswer: -17a3c6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(176) - -5*(sqrt(176) + (sqrt(176) + 1 - sqrt(176))) - -2*-1*sqrt(176)))**2.\nAnswer: 640*sqrt(11) + 11364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:45 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 + 1 + -1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 + 3. Let y = 2 + -1. What is the third biggest value in m, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-975)*-9)\/(12\/40)*29\/(-116)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*i - 48 = 0, -59 = -3*r - 3*i - 17. Let f be (5\/r)\/(1\/6). Solve -32 = f*p + 5*h, 4*p + 0*h + 4*h = -32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 103 = 3*y, -2*y + 9 = -4*j - 45. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10642260 divided by -3.\nAnswer: 3547420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10637 by -11.\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 14*g**3 + 5*g**2 - 9*g. Let u(i) = -7*i**3 - 2*i**2 + 5*i. Let q(h) = 2*l(h) + 5*u(h). What is the second derivative of q(w) wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 + 73 - -1*5) + 153549\/(-9603).\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -133*d**5\/60 + 31*d**3\/2 + 163*d**2. What is the first derivative of v(o) wrt o?\nAnswer: -266*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93*((-748)\/374)\/(-1*6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkffffffkfffkfffff. What is prob of sequence fk?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 3*a**2 - 10*a + 3. Let p be c(-5). Suppose -4*t + 5*r = -72, p*t + 2*r - 54 = 4*r. Suppose t - 19 = -s. Solve 7 = -2*g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p + 143*p - 407284332. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52300*u*z**3 + 255*u*z**2 - 3*u*z - 2*z**2 + z wrt z.\nAnswer: 313800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 114. Suppose -5*w + 74 = -v. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = -3*q + 3, 3*m = -q + 12. Let b(l) = l**2 + 1. Let i be b(-1). Let p(r) = -r + r + 2 + 0 + r. Let y(n) = -3. What is i*y(t) + m*p(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 92*n - 91*n + 5, 4*n = 5*c - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 + 11428*y**2 = 0. Calculate y.\nAnswer: 0, 11428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/(23452\/154))\/(6\/(-26)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.02, 0.047, -0.02401, -4 in descending order.\nAnswer: 6, 0.047, 0.02, -0.02401, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007323 to 6 decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 0*h**2 + 38 + 14\/5*h**5 - 32\/3*h**3 + 0*h**4 + 0*h. What is the third derivative of k(d) wrt d?\nAnswer: 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 138348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -607147?\nAnswer: 607147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t*w**4 - 285*t*w**3 + 12*t*w**2 + 2*t*w - 141*w**6 + w**2 - 2690 wrt w.\nAnswer: 24*t*w - 1710*t - 16920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssgssg. Give prob of picking 2 s and 2 g.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5151 + -15222?\nAnswer: -24413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -28 (c) -3\/7 (d) 7 (e) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 121\nAnswer: -21\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**6\/3 - 21*c**5\/5 - 21*c**4\/4 + 184*c**3\/3 - 42*c**2 - 719. Solve h(a) = 0.\nAnswer: -7, -6, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12*198\/(-12))\/((-219)\/876)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + r. Let k be m(12). Suppose 4*s - 76 = k. Suppose 9*a + s = 14*a. 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: Suppose 0*j = j - 6. Let h(n) = 2*n + 4*n**3 - 11*n**3 - 3*n**2 + j*n**3. Let y be h(-4). What is the greatest common factor of 56 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**2 - 5*h**2 - 4*h**2 - 9 - 7*h**2 - 34*h. Let g be f(-11). What are the prime factors of (12\/(-4) + -219)*(-1)\/g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.45 in 2, -96\/11, -1?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.47 + -0.53. Let l = -65.0000049 - x. Round l to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:57 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125844001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 137\/(-3). Is k\/(-4)*-2 - 1 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d86 - -60?\nAnswer: -5d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(70)*3)\/sqrt(10))**2*2.\nAnswer: -60*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001424 rounded to 7 dps?\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642 divided by -462?\nAnswer: -211\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85504 times -170?\nAnswer: -14535680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 - 0.071. Which is the closest to -2? (a) 1 (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 y, and 1 s when four letters picked without replacement from {y: 2, i: 4, s: 6, z: 3, p: 1, j: 2}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1048182, -1048179, -1048172, -1048161, -1048146?\nAnswer: -1048127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 - 11*b + 16. Let m(a) = a**2 + 2*a + 3. Calculate the remainder when i(3) is divided by m(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 2*y - 3030 = -40*l, y = 5. What is l rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxzxzxxzzzzxxxx. Give prob of sequence xzxx.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r + 121*r + 120*r + 13*r.\nAnswer: 222*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = 5, 4*g + 23 = -3*k. Let i = k + -3. Sort -2, 7, i in decreasing order.\nAnswer: 7, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*v = 689 - 167 - 123 + 1148 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46785 + 46789. Factor -l - 7\/2*g**2 - 9*g.\nAnswer: -(g + 2)*(7*g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 3. Let l(n) = 13*n + 9. Suppose 71*k - 69*k = -4. Let v(t) = k*l(t) - 7*y(t). Calculate v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -14 + 5. Let d(p) = -2 + 3 - 11*p + p + u*p**2 + p**3. What is the units digit of d(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(sqrt(102) - sqrt(102)*2))\/((sqrt(210)\/sqrt(7))\/sqrt(5))*-5.\nAnswer: -100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0401 - 0.0001. Which is smaller: y or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14ed4 - 7?\nAnswer: -14edb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -n, -4*n - 40 = 219*d - 223*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, l: 1, j: 3, v: 2, y: 1, x: 1}. What is prob of sequence xjla?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**4\/6 - 2*h**3 - 9*h**2. What is the tens digit of j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2740244nm to micrometers.\nAnswer: 0.0002740244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/3, 8, 156, -256, -3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94 or -20523\/217?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0 - 4*c + 1\/9*c**3 - 1\/36*c**4 - 1\/6*c**2. Suppose t(v) = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -723*k**2. Let f(o) be the third derivative of o**4\/24 - o**2 - 272. Determine r(f(h)).\nAnswer: -723*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0\/2 - 1. Let y(w) = -w**3 + 18*w**2 - 17*w + 2. Let g be y(17). Suppose -g*r + r = o. Solve -4 = -i - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7*x - 136. Suppose -4*s + f = -51, 2*s + 13 = -f + x. Solve -3*k + s = -7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106795, 213957, 321117, 428269, 535407?\nAnswer: 642525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2731422*m - 21851387. What is q(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*l**3*z**3 - 2*l**3 - 2*l*z**5 + 2*l - 2*z**2 - 21*z wrt z?\nAnswer: 210*l**3*z - 40*l*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 17. Let n be 11\/44*(3 - 1)*(-6)\/(-8). Sort q, n, -2\/7 in decreasing order.\nAnswer: q, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2116.947349 and 0.01.\nAnswer: -2116.937349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 28*w - 306. Let s be b(-40). Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/(-18) + (-7)\/(-3). Let z(l) = l**2 - 6*l + 5. Let a be z(5). Let w = -1 + a. Is w at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90, -92, -96, -102, -110?\n\"Answer: -y**2 + y - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39259 - 39259 - 68*q**4 + (0 - q + 0)*(-1 + 2*q**3 + 1).\nAnswer: -70*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112304*s**2 - 3*s + 112376*s**2 + s + 1481*s**3 wrt s?\nAnswer: 8886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96740 + -26700097\/276. What is the common denominator of -89\/18 and d?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, v: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 510758126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/(-36) - (-5)\/45. Suppose 10*k - 4*l = 6*k - 8, s*k - 20 = -4*l. Solve q - 5*g + 6 = 4*q, -2*q = -k*g - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, 2, -3, -4 in increasing order.\nAnswer: -16, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 383027.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064846 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1, 2\/201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**5\/20 + l**4 - 9*l**3\/4 - 2*l**2 + 7*l + 2638. Find r, given that c(r) = 0.\nAnswer: -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -3*f**5\/20 - f**3\/6 + 7*f. Let p be a(-1). Suppose -b + p = -41. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 207\/36 + (-87)\/116. What is t in 3\/2*t**h - 15\/2*t**4 + 33*t - 33\/2*t**2 + 24 - 69\/2*t**3 = 0?\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1194 and 0.4.\nAnswer: 477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*s + 3*s. Let q(y) = -3*y + 0 + 3 + s - y. Let z(u) = -2*u + 23 - 4*u - u - 4*u. Determine 17*q(g) - 6*z(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + f - 1. Let y be p(0). Let t = y + -3. Let i(x) = -x**3 - 3*x**2 + 2*x - 2. What is the units digit of i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31843 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*g - 64*g**3 - 242*g**3 + 6*g - 106*g**3 as j*g**3 + t*g**2 + y + b*g and give j.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 6386a?\nAnswer: 6385d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (19 - -1)*7\/28. Solve 34*n - h = 31*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29416.64 centuries in months?\nAnswer: 35299968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = g - v, -3*v - 29 = -4*g. Let a = 81 - 40. Calculate the remainder when a is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2164*n**3 - 970*n**2 + 18771642.\nAnswer: 6492*n**2 - 1940*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(612) - (sqrt(612) + 0) - sqrt(612)) + sqrt(612) + 2 + -1 + sqrt(612)*-1 + (3 + (sqrt(612) - 2*sqrt(612)) - (1 + sqrt(612)*1)))**2)*4.\nAnswer: -432*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 + 153. Suppose -14 - a = -5*o. What is the smallest common multiple of 5 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1573) + (sqrt(1573) - (2 + sqrt(1573))**2 - sqrt(1573))*-5 - -3*(sqrt(1573) + 0 - sqrt(1573))**2)*-6.\nAnswer: 4158*sqrt(13) + 141930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(13) + 5 + (sqrt(13)*-3)**2 + sqrt(13) + 6*(sqrt(13) - 3*sqrt(13))*4.\nAnswer: -46*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.45134 kilograms to tonnes.\nAnswer: 0.04645134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 122 - -42\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 4. Let o be t(1). Suppose 3*u = 4*k + 28, -35 = 5*k - 3*u + 5*u. Let q(w) = w + 1. Let h be q(k). Sort h, 3, o in ascending order.\nAnswer: h, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 15*o**2 + 2*o**2 + 2*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/7, -4, 0.3, 323 in ascending order.\nAnswer: -4, -3\/4, 2\/7, 0.3, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 193. Calculate k(-15).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c**3 + 0 + 5\/12*c**4 + 8*c**2 + 0*c - 1\/6*c**7 - 1\/12*c**6 + 7\/12*c**5. Factor n(s).\nAnswer: -5*s*(s - 1)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 5. Let u be b(-9). Let w = 26 + u. Suppose 0 = -6*s + 7*s - w. What is the highest common factor of 60 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 242363263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63476558?\nAnswer: 2, 191, 166169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 1 + (14 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -266 - -270. Differentiate 166*p - z*p - 6*p - 108 with respect to p.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054072 divided by -2?\nAnswer: -527036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-8))\/((-1675)\/3350)\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011101222 + -102210?\nAnswer: -2011211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 + 1679*p**2 + 39864*p + 238320 = 0.\nAnswer: -1655, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7684?\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27496938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 25 = -6*a. Let m(f) = -f**2 - 6*f + 5. Let n be m(a). Suppose 2*j = -4*l + 44, -j = 2*l + 3*j - n. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-13))**(-7)\/(g**(2\/53))**(1\/13) assuming g is positive.\nAnswer: g**(-67524\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -871\/3 + 295. Factor t*v**4 - 32\/3 + 2\/3*v**5 + 32\/3*v**3 - 32\/3*v + 16\/3*v**2.\nAnswer: 2*(v - 1)*(v + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -285 - 2.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**3\/6 + c - 2. Let o(z) be the first derivative of b(z). Let p(l) = -5*l**2. Give o(p(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -1, -3 in ascending order.\nAnswer: -3, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -2 - (-3 - (-6)\/1). Suppose c - 2*c + 126 = b. Is c a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -29 - (16 - 31)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -54, -3, 3, -2 in decreasing order.\nAnswer: 3, -2, -3, -19, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-2 + sqrt(204))\/sqrt(12) - (2*sqrt(153))\/sqrt(9) - (sqrt(17) + sqrt(34)\/sqrt(2) + -2 - (sqrt(136)*-2)\/sqrt(8)))**2 + 3.\nAnswer: -28*sqrt(17) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 - -130. Which is the closest to n? (a) -1 (b) -2\/21 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 + (0 - -3))) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/1059510 and -193\/210?\nAnswer: 7416570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c**2 - 126*c - 44. Calculate d(-10).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 16 = -31*m. Let l(b) be the second derivative of -1\/40*b**5 - 1\/24*b**m + 1\/4*b**2 + 0 + 1\/12*b**3 + 2*b. Factor l(w).\nAnswer: -(w - 1)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104548058 divided by 52274029.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -70*n + 1. Let i(b) = -b. Let l(x) = -h(x) - 3*i(x). Suppose -6*m = -2*r - m + 27, 5*r - 5*m = 30. Is l(r) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 2*a = 0, 2*z - 5*a = -11. Let i = 5 - z. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9140 divided by 2971\nAnswer: -9140\/2971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*c**2 + 1 + (c + 0*c - 2*c)*(3*c - 6*c - 3*c))*(c**2 + 3*c**2 - 6*c**2) as l*c**3 + v*c**4 + f*c + g + y*c**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -215, -433, -651?\n\"Answer: -218*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091658980 a multiple of 3943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 58*s**3 - 27*s**3 - 29*s**3 - 5*s**2 + 2*s**2.\nAnswer: 2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -2*n + 5*g - 150, 4*g = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 148907 - a?\nAnswer: 1488a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 7:00 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose l = -3*i + 2*i. Suppose -3*t + 5*o - 2*o + 27 = i, 0 = 3*o + 12. Solve -t*n + 8 + 7 = 5*h, -12 = -5*h - 4*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108700 to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/(20\/(-5) - 1). Which is bigger: i or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19651143.\nAnswer: 3, 137, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 1. Determine w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -2. Let a be (46\/(-2))\/((-6)\/c). Let p = -14 - a. Which is bigger: p or -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 28389016?\nAnswer: 198723112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 257, -5, -4, 3.\nAnswer: -14, -5, -4, 0, 3, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 2*v**2 - 5*v**2)*(-v - 3 + 3) - 739*v**2 + v**3 + 739*v**2 + 62*v.\nAnswer: 5*v**3 + 62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + -161. Let b be (7 + -5)\/(1 - 8). Put d, -0.22, b in descending order.\nAnswer: d, -0.22, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*a + 1474*a + 44 - 49 - 34.\nAnswer: 1347*a - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 42\/(-15))*-15. Suppose 12*k = 8*k + d. Suppose 0 = z + 4*l - 20, -z = 4*z - 5*l. Solve z*s + 0*b = b - 18, 5*b - k = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 1581*a**3 - 1283*a**3 - 1573*a**3 + 4452*a**3 + 3*a**2.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 35118 = 35148 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*l = 28, -6*k + 10*k + 4*l = 16. Suppose -3*m = -5*i - 2909, -k*m + 6*m - 967 = i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/80 + -71\/2480. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i + 0 + 2\/15*i**5 - 8\/3*i**3 - 1\/120*i**6 + 7\/12*i**4 + 13*i**2. Does 22 divide r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - o - 4 = 5*b, -4*o = -b + 16. Let h(i) be the second derivative of i + b*i**2 - 1\/3*i**3 + 0. What is h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udpppppwupurpprdpppp. What is prob of sequence urp?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = -0*f. Let o be -4 + 3\/(f\/1). Suppose -5*p + 45 = -5*g, 2 + 9 = 3*p + g. Sort p, o, -2.\nAnswer: o, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 6. Let g be (-1)\/3 - 4\/(-6). Which is the biggest value? (a) 4 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/12 - 3613145*p\/3 + 13054816791025\/3.\nAnswer: (p - 7226290)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37720?\nAnswer: 2, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3464482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2378905 - 482916135\/203. Let k = u - 54\/7. Is 1 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -626\/395 + -894571\/3555. Let j = n + 253. Is j at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/76)\/((-18)\/24)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrlrglg. Give prob of picking 1 l and 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/4 - 19*w**4 + 3431*w**3\/4 - 16473*w**2\/2 + 28413*w - 32670 = 0. Calculate w.\nAnswer: -110, 3, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 65803.72 nanometers?\nAnswer: 65.80372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53056216, 106112432, 159168648, 212224864, 265281080, 318337296?\n\"Answer: 53056216*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 38 = 4*j. Suppose -p - 4*r + j = 0, p + p - 44 = -5*r. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 13 = -3*x, -4*x - 3*k = -k + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3071 is divided by 224\/5320*(1663 - -2) - 6\/57?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26048*f*z**3 - 7438*f*z - 8*f - 16*z**4 + 18*z**2 wrt z?\nAnswer: -156288*f - 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111448718, -445794869, -1003038454, -1783179473, -2786217926?\n\"Answer: -111448717*p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*r - 44*r - 4*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.22505 millennia in decades?\nAnswer: 6622.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 29.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 3, j: 3}. What is prob of picking 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + u**2 - 6 - 9 + 17 as m*u**2 + p + d*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*z = -353*z - 346*z + 70 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 6 - 3 + 9 + 0*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*x + 92*x + 7 = -m, -3*x + 5 = -2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k + 16. Let o be (-6)\/9 - k\/6. Let n(h) = 17*h**3 - 100*h**2 - 14. Let v(p) = -8*p**3 + 43*p**2 + 6. Let t(j) = 3*n(j) + 7*v(j). Determine t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7035)\/(-294) - 24)*-210.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12683, 11259, 8885, 5561?\n\"Answer: -475*x**2 + x + 13157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/21)*v))\/v**(-4\/7)*(v\/(v\/v**(-10)))\/(v**27*v) assuming v is positive.\nAnswer: v**(-808\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*n = -4, a + 4 + 5 = -3*n. Solve u + u = -2*d - a, -20 = 2*d - 5*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38537770 + -1?\nAnswer: -38537771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1 + 9. Suppose 0 = 7*l + 28. Let b(w) = w**3 + 6*w**2 + 5*w - 9. Let m be b(l). Solve -t = 4*s - 2, -2*s = -f*t + m*s - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(200) - ((-2*(2*sqrt(200) - sqrt(200)))**2 - sqrt(200)) - -5*(sqrt(200) + -2) - (-3 + 3*(sqrt(200) - (2 + sqrt(200)*-2)))).\nAnswer: 20*sqrt(2) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {b: 2, z: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:00 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 + 450*y**2 - 1761*y + 1314 = 0. Calculate y.\nAnswer: 1, 3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2487372 is divided by 829044.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*r, r + 219*a - 110*a = 113*a. Suppose 2*g + 4 = 4*g. Solve 5*x + f - 11 = r, -5*x + 3*f = -g*x - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 9437.\nAnswer: -36\/9437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 447*l**3 - 6*l + 2. Is t(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 127 (c) 3 (d) -3\/2 (e) -0.161 (f) 166 (g) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31a4995 (base 12) to base 11.\nAnswer: 5356268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14531884 times -2\nAnswer: 29063768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -17, -32, -47, -56, -53, -32?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(2\/(-8)). Let f(l) = l**s - 2 + 2. Let v(i) be the third derivative of i**5\/20 + i**2. Give v(f(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5\/8, 1\/2, -40, -2.\nAnswer: -40, -2, -5\/8, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l + 136 - 108 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 96 = -6*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-56)\/67536) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*a. What is the lowest common multiple of a and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1530 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -2071972.\nAnswer: -2071975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + t - 2 = -1, 0 = -t + 5. Solve 0 = 3*l + 5*x - a + 18, 5*l + x = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)**(-18)\/(y**15*y**(-2\/7)\/y))**(-2\/15) assuming y is positive.\nAnswer: y**(148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n - 3*d, -n - 20*d + 16*d - 16 = 0. Suppose 0 = 23*s - 25*s + 5*r + 1834, 4*s - 4*r - 3668 = n. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-10) - (-1)\/(-2). Let w(h) = -h**3 + 2*h**2 - 2*h - 1. Let j be w(u). Let b = j - 11. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4188305 is divided by 1391?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-8)*3)\/(3\/134). Suppose 0 = -4*x - f + 2107. Which is smaller: x or 511?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 291 = -5*h + 7*u - 102, -5*h = -2*u + 63 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2828 + 2837 = 4*n + 3*n + 3*i, 9 = n - 2*n + 3*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 - 3285*s**2 - 163810*s - 603000 = 0.\nAnswer: -603, -50, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 41 = 117. Let n be (-8)\/(-12) - g\/3. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 17. Let x be p(0). Calculate the greatest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let m(x) = 2*x - 1476. What is m(v(s))?\nAnswer: -2*s - 1476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/((-3)\/(-15)). Suppose 5 = v*s + 1. Find the second derivative of -10*d**2 + 4*d + 9*d**s + 0*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 + 427. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 - -35769722211?\nAnswer: 35769721474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*d + b, 51 = 2*d - b + 63 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 889 and 27106499?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 87, -3.\nAnswer: -3, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258562263?\nAnswer: 3, 353, 244157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3995 and 6192344?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1142.5236 + -1143. Round h to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 78. Let w be b\/25*5\/1. Suppose 21*j - 19*j = w. Solve j*z - 6*z = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 17*i - 80. Suppose -4*k = -j - 23, -2*j + 1 = i*k - 25. Let w(x) = -8*x**2 - 4*x. Let p(y) = -15*y**2 - 7*y. Calculate k*p(h) - 11*w(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-1*sqrt(9)) - sqrt(156)\/(-1*sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 95*z**5 - 770*z**4 - 14125*z**3 + 169620*z**2 - 491940*z + 427680 = 0.\nAnswer: -264\/19, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 102.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**4 - 13*a**3 + 4*a**2 + 23*a + 4. Let n(b) = 4*b**4 + 14*b**3 - 4*b**2 - 22*b - 4. Let o(j) = -4*k(j) - 5*n(j). Determine v so that o(v) = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -187, -205, -225, -247?\n\"Answer: -z**2 - 15*z - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24074, -6 in increasing order.\nAnswer: -24074, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 + (-13)\/5. Which is the third biggest value? (a) j (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315320736 a multiple of 6893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w + 1. Let j be u(2). Suppose 2*d + 8 - 2 = -2*f, -4*d + j*f = -9. Which is smaller: d or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-9 - -15) + 1 + 0 - 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7237 + 7247. Which is the nearest to -4? (a) -0.29 (b) -1\/6 (c) n (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 + 1\/12*y**4 + 9\/2*y**2 + 3\/2*y**3 - 3*y. Let o be i(-8). Calculate the greatest common divisor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 5, -3, -2, -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) + 19\/45. Let j = 426.7 + -427. Which is the closest to -2\/3? (a) j (b) z (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*2\/(-9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {g: 2, u: 4, s: 3, c: 1, e: 3, n: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -2 + 18*x**2 - 3\/5*x**3 - 1\/60*x**5 + 0*x + 47\/120*x**4. Determine i so that t(i) = 0.\nAnswer: 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253903.\nAnswer: 13, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 5*z**8\/336 + z**7\/21 - z**5\/6 - 5*z**4\/24 + 72*z**2. Factor d(j).\nAnswer: 5*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1449*q + 1656. Let o(y) = -2*y - 2. Let v(l) = 828*o(l) + w(l). Let d(x) = x. What is d(v(f))?\nAnswer: -207*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000048607 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40 times 0.1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2 + 16*h - 14 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*u = -311*u + 760 - 6247 - 4952 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(-1056))*1372\/1568*12\/(-21).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 591491711 times -0.3\nAnswer: -177447513.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 1 + 4*v - 3*v**3 + 5*v**3 - 3*v**3. Let b be z(-5). Let f = -4 - -3. Sort 5, b, f in decreasing order.\nAnswer: 5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 - -109. Let m be 12\/c*(-12)\/(-10). Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6767846 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*f*n**3 + f*n**2 - 2*f*n - 678*f - 17*n**3 + 7*n**2 - 11*n + 17 wrt n?\nAnswer: 456*f*n + 2*f - 102*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/575 and -59\/20?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumuuuuummuuuuumum. What is prob of sequence mmm?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 + 2*j**2 - 4*j - 1. Determine l(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, -8, -2\/5, 2\/5, 0.91367?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -26816, -5, 0.3 in increasing order.\nAnswer: -26816, -5, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 756940626 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12314188069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*j - 658*j + 120*j + 267*j in the form x*j + m and give x.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - ((8 - 15) + 19)) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30725*f**3 + 21490*f**2.\nAnswer: 184350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(108)\/sqrt(9) - sqrt(12))*-1)\/((sqrt(54)*1)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 23. Let s be r(-6). Suppose -3*k = 3*h + 6, s*k = -2*h - h - 10. Solve h*t + 3*t = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -114116*y. Let g(c) = -15*c. Calculate n(g(a)).\nAnswer: 1711740*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from peagag.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27d (base 14) to base 6.\nAnswer: -2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eoririoiiiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 15729 and -2.841109.\nAnswer: 15726.158891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 - 2*a + 7. Let z be g(5). Let b = 36.9 + -37. What is the nearest to 5 in z, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -38, -35, -30, -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -h + 2*h + 4*o, -3*o = 5*h + 85. Let u(b) = -b**3 - 15*b**2 - 12*b + 28. Let d be u(h). Solve -3*a - 3*t + 0*t + 6 = d, -5*a + 2 = -3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -4 (c) 13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1305 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:31 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - 8.1. Let p = -10.01573 - 0.06027. Let v = o - p. What is v rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-12))\/(4\/84). Let g(d) = d**2 - 7*d - 1. Calculate g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3985367?\nAnswer: 109, 36563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + 3*k - 2. Let o be t(-4). Let v = 4 - 3. Is (o\/2)\/(v + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 199*v. Let k(t) = -14*t. Determine k(p(g)).\nAnswer: -14*g**2 + 2786*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100400 + 60924 - 82828 = -8736*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -248226, -248248, -248286, -248346, -248434?\n\"Answer: -g**3 - 2*g**2 - 9*g - 248214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.1 + -28.9625398.\nAnswer: -14.8625398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 69.04611ns in minutes?\nAnswer: 0.0000000011507685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17 - -18 - (-10 + 1 - -1). Solve a - 4*a - t = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f - 59*f - f - 6*f + 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 1309, -1\/4, -2342 in descending order.\nAnswer: 1309, 5, -0.1, -1\/4, -2342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 + 180 + 24*k**3 + 307*k**2 - 96*k - 205*k**2 - 135*k**2 = 0 for k.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1543, -3893, -6257, -8635, -11027, -13433, -15853?\n\"Answer: -7*g**2 - 2329*g + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2. Let k(o) = 4*o**2 - 9. Let f(q) = -9*i(q) + 2*k(q). Let s(m) = m. Calculate f(s(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-24)*5\/(90\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, h: 3, l: 1, t: 2, u: 4}. Give prob of sequence lu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49450680 divided by -9890136.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 7918883*l**2 + 8.\nAnswer: 7918883*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -189, -794, -1803, -3216, -5033?\n\"Answer: -202*a**2 + a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 6. Let l be 18\/r - -1*2. Sort l, -5, 1.\nAnswer: -5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5.4. Let y = -0.09 - 1.91. Let i = a + y. Put 3, -5, i in increasing order.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3531.772433796 - 0.2\nAnswer: 3531.572433796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8263625ml to litres.\nAnswer: 0.0008263625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -26*s**3 - s - 2. Let m(t) = 79*t**3 + 4*t + 7. Give 4*m(b) + 14*q(b).\nAnswer: -48*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -448 + 545. Suppose -w*h = -95*h - 466. List the prime factors of h.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 425, -15\/4, 0.2?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/8*11\/(66\/(-3672268)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 21. Calculate q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 173754*x**2 + 1042443*x - 1563624.\nAnswer: 3*(x - 57912)*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -4, -0.1, 0.3 in descending order.\nAnswer: 0.3, -0.1, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 5. Let j(k) = -8*k - 4*k**2 + 35784*k**3 + k**2 - 35791*k**3 - 7*k**2 + 2*k**2. Let r(h) = 2*h**3 + 3*h**2 + 3*h. Give c*r(d) - 3*j(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9572666ml?\nAnswer: 0.0009572666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-two fifths of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -124.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 23. Let t = 0 - 1. Let q = 0.15 - 0.55. Which is the second smallest value? (a) l (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 8*x - 4*x - 1737, -3*x + 1274 = -2*n. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*j*u - 3*b**2*j + 1156*b**2*u**2 + 19966*b*j*u - 16*b*j - 7*b*u**2 - 42*j*u**2 + 3*j*u wrt u?\nAnswer: 2312*b**2 - 14*b - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from pnjhbjhjjyjnby?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -256, 296 in descending order.\nAnswer: 296, 12, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561.38 + 576. Let s = 0.38 + h. Let y = s - 15.000022. Round y to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3581600 to the nearest ten thousand.\nAnswer: 3580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 134279 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6.3 * 0.46\nAnswer: -2.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m - 4*m + 2*m + 1 + 5*m - 2*m. Let d(x) = 2*x**2 + 5*x + 5. Calculate -d(c) + 5*w(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o - 8*o + 6*o**5 - 7*o wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452171365.\nAnswer: 5, 601, 150473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5805841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 8. Let k be 4\/i - 9*-2. Solve s + 0*s - t - 1 = 0, 0 = -5*s - 2*t - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - 1.06. Let y = 3 + k. Let d = y + -2. Which is the nearest to d? (a) 0.1 (b) 1\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*l + 1128, 6*l - q + 3050 = 14*l. What are the prime factors of l?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 + 54*a**2 - 1888*a + 12. Give r(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -75. Solve -j + m*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -57*x**2 - 13*x - 14. What is z(-1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-585)*6\/8*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163602 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2727 - 1186. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6209 (base 14) in base 13?\nAnswer: -78a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose 2*j - 3*j = -a. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2. Let a(o) be the third derivative of -o**7\/2520 + o**5\/6 - 10*o**2. Let p(d) be the third derivative of a(d). What is p(n(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - m - 2. Suppose 3*v - 5*u = -15, 14 + 1 = v + 5*u. Suppose 153 + 43 = 28*b. Suppose v = b*a + 15 - 1. Determine k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/41246 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 697, 676, 641, 592, 529, 452, 361?\n\"Answer: -7*n**2 + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 125*z - 110. Give b(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.788 and 69913815892.\nAnswer: 69913815892.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 343 + 5?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20002100?\nAnswer: -20002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141658, 283347, 425036?\nAnswer: 566725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*(-1)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f - 5*l = -29, -1 = -4*f + 3*l. Suppose f = -8*q + 9*q. Suppose -17 + 5 = 4*a - q*d, -5*a = d + 21. Sort a, -5, 5 in ascending order.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 2, h: 3, o: 4}. What is prob of sequence hhh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -71) + (1 - (0 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1283 and 29?\nAnswer: 37207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - ((sqrt(170) - (sqrt(170) - sqrt(170)*-1*-1 - sqrt(170))) + sqrt(170))) + sqrt(170) + sqrt(170))*-6)\/((sqrt(100)\/sqrt(2))\/sqrt(5)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 8) in base 7?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5786471407495*b**4 - 57854793464860*b**3 - 99200431440*b**2 - 56693520*b - 10800.\nAnswer: 5*(b - 10)*(10499*b + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -590*x - 46012. Give c(-78).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.9 and 0.0053.\nAnswer: -0.08427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -20. Find the second derivative of 2*t - 14 + 10*t**2 - s*t**2 + 4*t**2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 + 225. Sort -3, -0.1, n.\nAnswer: n, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-262)\/1965)\/((-8)\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 31 = 265. Solve -3*p + 3*n + 15 - x = 0, 2*p + 5*n + 9 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 3\/7 (c) -11.9 (d) 22\/7 (e) 36 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxj when three letters picked without replacement from {x: 17, j: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0567 + -28583402312?\nAnswer: -28583402313.0567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**3*x**2 - 3*s**3*x + s**3 + 6876*s**2*x**3 - 2*x - 13 wrt x.\nAnswer: 22*s**3 + 41256*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprpqrqprcrrcrpqrrp. Give prob of sequence qc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 70*w - 176. Let h be t(64). Find the common denominator of (h\/(-378))\/(1 + (-20)\/12) and (-104)\/(-3) - 4\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*w + 26 - 4 = 0, 3*o = 3*w + 15. Suppose o = z - 7*l + 2*l, -2*l + 6 = 4*z. Let i = 4 - z. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007311372 to 6 decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7 = 3*g - 10, -m + 5 = 3*g. Suppose 4*d - i = 55, -5*d = -0*i + g*i - 90. Suppose -3*x = -5*b, 3*b - d = -2*b. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/24, 2, -559, 0, -6, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v = 222*v + 2352 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -141, -48, -2 in increasing order.\nAnswer: -141, -48, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 1, q: 3}. Give prob of sequence zq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1, 3, -56, 108, 5 in decreasing order.\nAnswer: 108, 5, 4, 3, 2, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:18 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 792\/45 - 3\/5. Let b = 35 - o. Calculate the smallest common multiple of b and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*b - 3, -x - x - 3*b - 3 = 0. Suppose x = 2*k - 3*k. Suppose 4*j + 49 + 75 = k. Sort -4, j, -3 in decreasing order.\nAnswer: -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -6) + (36 - 42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -1\/6 (b) 0.16 (c) 4 (d) 271\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -676 - -675.53. Let g = 0.17 + s. Let m(w) = w + 2. Let v be m(-4). What is the fourth smallest value in -2\/13, -5, v, g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.012472, -3, 0.3, 5, -0.03, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 23 = 15*r - 12*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 8256?\nAnswer: 156864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 48 = 8*m. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*o**3 + 90*o + 11*o**2 - 78*o + 923*o**4 - 892*o**4 + 3 wrt o.\nAnswer: 744*o + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*t + 130*t + 15 = -101. Solve -78*u + 73*u = t*f + 2, 0 = -5*f + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(708\/312)*(-9)\/(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**3*c*c*c\/(c\/c**(-3\/8))*c)**(-8) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15 + (-30)\/54 - (-50)\/144.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x. Let k = 2661\/8 + -333. Are k and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/(-50)*(-20)\/(-3). Let r = o - -11. Is 4 a factor of (r\/3)\/((3\/(-36))\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.4095 + -0.3415. Let i = -0.068 + t. What is the second smallest value in i, -0.2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-10 - -21 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8806 (base 10) to base 15\nAnswer: -2921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -71. Let c = -35 - v. Let p(l) = -l**3 + 5*l**2 + 7*l. What is p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1182999, 2365969, 3548939?\nAnswer: 4731909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4098 + 28.4098. Which is the closest to v? (a) -0.3 (b) 0.05 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b - 4*b. Solve -4*t - 11 = -5*v, b*v - 5*v = 5*t - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 23*c**2 + 9*c + 7. Let q be b(10). Let s = -815\/116 - 827593\/348. Let d = s + q. What is the common denominator of -151\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + -5 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 20*w**4 + 58*w**3 + 118*w**2 + 208*w + 88. Let u(t) = -t**4 - 2*t**3 + t**2 - 4. Let a(k) = -44*u(k) - 2*z(k). Find r, given that a(r) = 0.\nAnswer: -4, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.32, -15, -53, 13 in descending order.\nAnswer: 13, -8.32, -15, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 11*r**2 - 6*r - 4. Let g be n(-7). Let b = 173 + g. Calculate the remainder when 116 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25484221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14ad09 (base 15) in base 8?\nAnswer: -3636237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + -11*(-9)\/15)*2455?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981989378 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21977 - 21978.0653. Let v = -0.1563 - n. Let s = v + -0.84. Round s to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 2.16. Let n = 2 - x. Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 2. Let v(o) = -o**2 + 11*o - 17. Let y be v(10). Let m be q(y). Put -5, -2, -4, m in ascending order.\nAnswer: -5, -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9058226*s + 9058169*s + 1767 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 14 = -2*t, 3*f + 73 - 70 = -t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 6 = 40*p. Solve p*x = -0*x + b + 6, b - 2 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(176) - sqrt(176)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.1. Let a = -4.169 - -0.169. Put a, z, 2\/11 in ascending order.\nAnswer: a, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1364850, -1364871, -1364896, -1364925, -1364958?\nAnswer: -1364995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*y = -0*n - 48, 4*n = -3*y + 44. What are the prime factors of 12\/(-42) - (-172)\/n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 3*m - 3. Let d(a) = -13*a**2 - a - 1. What is d(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 553 - 413. Calculate the greatest common factor of 35 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10635 is divided by 1511?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 20220?\nAnswer: 21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 + 3 = -2*g, u = -2*g - 2. Let x be 8\/(-2) - (0 + u). Is -1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (56 - -119) + -5.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m + 210. Suppose 0 = 5*l + m + 95. Let d = 89 + l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 642.523923 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3 - n**2 + 1 - 2 - 9*n. Let f be b(-9). Solve -15 = 2*h - 7*h - o, -f*h + 13 = -o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let p = -3 + w. Let f = p + 4. Sort 3\/5, 4, f in ascending order.\nAnswer: 3\/5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {v: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31848 is divided by 3525?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 213 (c) -0.7 (d) -5\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, -1, -28 in increasing order.\nAnswer: -28, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let o(k) = 53*k + 5. Let m(y) be the second derivative of -928*y**3\/3 - 87*y**2 - 44*y + 2. Let v(f) = 5*m(f) + 174*o(f). Calculate v(b(z)).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2, -34*h - z = -32*h - 5. Solve -2*u - h*q = -0*q + 23, -q = 3*u + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/2 (b) -0.5 (c) 27\/5 (d) -11\/5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948753429.\nAnswer: 89, 2621, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:54 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2\/2 - 219*t\/2 + 4050 = 0. Calculate t.\nAnswer: -100, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66070986977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**3*z**3 + 2*p**3*z**2 + 7*p**3 + 54*p*z**3 + 2*p*z + z**3 wrt p.\nAnswer: -24*p*z**3 + 12*p*z**2 + 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtiitit. Give prob of sequence iti.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4995518 seconds to nanoseconds.\nAnswer: 499551800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.8 + -15.1. Let w = b - -6.6. Let m = w + 1.702. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13213045.7 rounded to the nearest ten thousand?\nAnswer: -13210000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 7*w**2 - 6*w + 5. Let g be t(-6). Solve 0 = -2*f + g*h - 9, -3*f + 4*h = 6*h + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09799 to 3 dps.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -18 (b) -5 (c) 2.92 (d) 0.5 (e) 3\/5 (f) -3 (g) -2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:28 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sepepc. What is prob of sequence epec?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 498 - 488. Solve 0 = 2*x - 2*a + 20, -5*x - 3*a + 0*a = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Let o = r - 2. Solve 20 = 6*a - a, 0 = -5*m + o*a + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8031179 or -8031170?\nAnswer: -8031179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -872, -1312, -1752?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, h: 13}. Give prob of picking 2 k.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120277 (base 11) in base 12?\nAnswer: -92403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5999151*h**4*y**3 + 3*h**4*y - 31066923*y**3 + y**2 wrt h.\nAnswer: 23996604*h**3*y**3 + 12*h**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2168 - -5.2168. What is the second smallest value in -397, w, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l + 53. What is the remainder when 7 is divided by q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 16*s - 60 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 - -46?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let a(n) = n**2 + 39*n + 158. Let d be a(-6). Let m be (-710)\/(-100) - (-4)\/d. Let c(y) = -3*y + 4. What is m*r(h) + 2*c(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*j + 10 = 0, 5*p - 13*j + 25 = -18*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s + 2. Determine q(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y - 49*y + 28*y.\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.845 - 0.055. Let y = 10 + c. What is y rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6553.032915 - -6553. Let f = 2.771015 + t. Let z = -2.75 + f. Round z to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - ((-5 - 0) + 3). Let a = -1 - k. Let d be ((-10)\/6)\/(5\/a). Solve 0 = -h + 2*i - d, -h + 6*h - 2 = i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 16. Suppose 830357 = b*w - 3089608. Suppose 4*r - w = -g, 5*r - 5*g - 700005 = -4*g. What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrl when three letters picked without replacement from rlrlrlrrrlr?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -625?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 7. Let w(f) = 208*f**2 + 219*f**2 - 351*f**2. Determine i(w(j)).\nAnswer: -532*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let p(s) = -s. Let y be 1085\/(-245) - 3\/(-7). What is y*p(a) + m(a)?\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Suppose -4*m - y = -3*m. Which is the nearest to -2\/7? (a) m (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 1.27. Let j = -0.06 + o. Let t = -0.0100016 + j. Round t to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 12*i - 1. Give q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/24 - n**3\/6 - 45*n**2\/2 + 87*n + 2. Let s(u) be the first derivative of m(u). What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 57*s + 11046. What is the hundreds digit of t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 45 + -49 + 34\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12444 and 71\/4148.\nAnswer: 12444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -23. Let b(a) = 6*a**2 - a + 5. Let o be b(-5). Suppose s - 5*f = 46, -4*f = 4*s - 0*f - o. Calculate the remainder when s is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68907 - -231.82244.\nAnswer: 69138.82244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8314 - 16627\/2. Let i(g) be the first derivative of 3\/5*g**5 + 0*g - 4\/3*g**2 - 20\/9*g**3 - 20 - u*g**4. Determine s so that i(s) = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2795.17 - -2795. Which is the nearest to u? (a) 5 (b) 4\/9 (c) 0.3 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4293*q**2 + 2795*q**2 - 370*q**2 - 1208*q**2 + 938*q**2 to the form r + u*q + i*q**2 and give i.\nAnswer: 6448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, u: 4}. Give prob of sequence uu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**3 - 2*z**2 - 4*z - 2. Let o be x(-2). Let m = o - 72. Let c be m\/(-4) + (-11)\/22. Which is smaller: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 1366 (c) -1\/3 (d) -0.4 (e) -167 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -345 - -303. Which is bigger: -38 or h?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = -0. Let u be -12*((-35)\/(-2))\/r. Suppose -s + u = s. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - p - 1. Let s be g(2). Let f be (-2)\/(13\/5 + -3). Let n(j) = 1 - s + f - j. Give n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 4. Let h(c) be the first derivative of 2*c**2 + 11*c + 3. Let x(n) = 4*h(n) + 11*o(n). Let u(d) = -3*d. Determine x(u(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23704255.\nAnswer: 5, 233, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*m = -330, 4*d + d + 5*m - 580 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 19. Let w be k(7). Let p(t) be the first derivative of -1\/3*t**w + 1 + 2\/9*t**3 - 2\/15*t**5 + 1\/6*t**4 + 0*t. Solve p(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151491 to the power of 1\/2, to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnfjlnjrnrnbnrn. What is prob of sequence bfr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-120)\/(-14))\/((-30)\/(-315)). Suppose -k - j = -6*k. Let f be k\/192*(-2)\/3. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 72*h - 70. Determine x(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.50854+-2654954\nAnswer: -2654955.50854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 + 6 = -2*t, 9 = 3*t - 2*s. Let d be (t + -5)\/(-2 + 1) - 3. Which is greater: d or -1\/240?\nAnswer: -1\/240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 2*s - 3*s)*(-11 + 6 + 4)*(-s**2 + 5*s**2 - 3*s**2) to the form i + a*s + g*s**2 + f*s**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 17. Let q be 22\/(8\/(-4)) + t. Let v be (q\/(-6) - 2)\/(-4). Sort v, 6, -0.4 in decreasing order.\nAnswer: 6, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.2 + -7.2. Put 0, -1\/4, 2, k in decreasing order.\nAnswer: 2, 0, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1099*s**3 + 752*s**2.\nAnswer: -6594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(363))\/(sqrt(33)\/sqrt(75)))\/((sqrt(121) + (sqrt(121)*-2*1 - sqrt(121)))\/(5*sqrt(11)*-2)).\nAnswer: 125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/7 (b) 8 (c) 40838 (d) 0.09 (e) 3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (982*s + 556*s + 853*s - 135*s)*(-16*s - 11*s + 4*s).\nAnswer: -51888*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1071 or -1072?\nAnswer: -1071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16292.16s to minutes.\nAnswer: 271.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 494174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324.6 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12357, 24696, 37035, 49374?\nAnswer: 61713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - ((-13 - -10) + 12)) + -6 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1. Let g(i) = 2*i - 8. Suppose 0 = 5*q - 13*q + 48. Let m(a) = q*n(a) + g(a). Give m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5 + -2 + (9 - 1) + -8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 2. Let x(r) = r**2 - 7*r + 8. Let u be x(6). Determine j(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 1953, 4207, 7363, 11427, 16405, 22303, 29127?\nAnswer: 36883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/18816*-60)\/(((-8)\/14)\/2).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109786839 and 2241.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-385)*-7*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = j - 5, -5*j = -j - 5*m - 20. Suppose -j*h + 127 = -4*p, p + 4 - 33 = -h. Suppose 0*l = 3*l - h. What is the highest common divisor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21070\/(-5225) + -2 + 12\/(-15). Let p = -74\/11 - y. Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2472\/80 + (-1)\/(-10). Solve -16*a - 33 - f = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003784948697 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4, -5\/9747, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19672 greater than 19673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 41. Which is the nearest to d? (a) 0.2 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -133, -224, -315, -406, -497, -588?\n\"Answer: -91*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -935*c - 1771*c + 569*c in the form x + f*c and give f.\nAnswer: -2137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 169, 182, 231, 328, 485, 714, 1027?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -292208, -293875, -295552, -297245, -298960, -300703?\n\"Answer: -u**3 + u**2 - 1663*u - 290545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*r - 174 - 398 - 3652 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -1\/9 (c) 1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 73. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369965837?\nAnswer: 3, 17489, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5828 + 2821. Does 93 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 5)*2\/(-4). Is 9 a factor of (-1)\/(i\/48) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 12 + z**3 - 265*z - 14 - 319*z + 26 as k + a*z**3 + p*z**4 + i*z + d*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = l - 4*d + 7, -3*l = -3*d + 24. Let s = -21 - l. Let c be 3\/7*(-40)\/s. Does c = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 2*l**2 + 3*l - 2. Let g = 8 - 11. Let q be h(g). Let x = q + 37. Solve 0 = 5*o - 25, 0 = b - 2*o + x - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2104310 + -12030?\nAnswer: 2052240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2081164 is divided by 220?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 95*q**5 - 3*q**4 - 97*q**5 - q**2 + (3*q**4 - q**4 - 4*q**4)*(99*q - 10399 + 10399) + (-4 + 4 - 2*q)*(-5 + q**4 + 5).\nAnswer: -202*q**5 - 3*q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 273\/27 - 2\/18. Find the second derivative of -118*j**3 - 2*j**5 - m*j + 118*j**3 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y + 1. What is the lowest common multiple of 9 and g(1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11594 is divided by 5778.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153007454*h**2 + 4*h - 4*h - 153007490*h**2.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165636451?\nAnswer: 3, 11, 29, 107, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24404 is divided by 4879.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 25. Let c be (-1551)\/188 + (1 + (-9)\/12)*1. Let m(p) = -2*p**3 - 17. What is c*m(q) - 5*i(q)?\nAnswer: q**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 11. Let i(v) = -2*v + 4. Determine 17*i(c) - 6*n(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 977206003 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15846100 and 90.\nAnswer: 142614900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -194 + -1440?\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -27, 4, -2, -117 in ascending order.\nAnswer: -117, -27, -20, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9386256 millennia?\nAnswer: 938.6256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232343 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 + 2*p - 10. Let x be b(10). Suppose -8*c = -9*c + x. Let d = c - -18. Calculate the highest common factor of d and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 116*q - 122. Let j be a(6). Suppose -j = 39*l - 12625. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22c - c7ed0?\nAnswer: -c820c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1691794555 + 3625658076. Let o = k + -1933863501.70000193. Let j = -19.3 + o. Round j to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - c4?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22322 - -202?\nAnswer: 23130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -3)*2)**2.\nAnswer: -72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(76) - (sqrt(76)*-3 + sqrt(76) + 3)) + (sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76)*-1 + 5) - sqrt(76) - sqrt(76))))))**2.\nAnswer: -384*sqrt(19) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 142, 212?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 103, 0.3, 1.4, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -63. Suppose 5*n = w*n + 4. Suppose 0 = n*p - 312 + 84. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z + z)*(-6*z + 238 - 238 + 2 - 2 + 2*z + (1 - 1 - 1)*(0*z + 2*z - 4*z) + 2*z + 3*z - 3*z - 3*z + z + 0*z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4823.\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*t - 157*t + 2*d = 36587, 0 = -3*t - 5*d + 109761. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/2160*18)\/((-1)\/5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16 and -157\/312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45930, 47538, 50218, 53970?\n\"Answer: 536*p**2 + 45394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5012 and 16?\nAnswer: 20048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -15\nAnswer: -76\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 4 + 55*u**2.\nAnswer: 55*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (((-803)\/5)\/(-11) + -6 + 288\/45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.11 (b) 21 (c) -1\/2 (d) 3 (e) 27\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0, -3, 26, 0.1, 11862?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 6*s. Let g(t) be the second derivative of t**4\/12 + t**3\/6 + t. Let j(w) = a(w) + 3*g(w). What is the units digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55063884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 245053 - 5?\nAnswer: 24504d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ececc. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yyyyhyhhhyyhq.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244032*a**3 + 126738*a.\nAnswer: 1464192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3215263 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2 - 4. Let h be ((-50)\/30 + 4\/24)*-4. Suppose 0 = -r*g - h*g + 242400000. Round g to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x - 4. Find the first derivative of -19*o**2 + 9*o**x + 19*o**2 - 6 wrt o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (4 + -2) - 2 - 1) + -33?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 108. Let v(x) = x**2 - 8*x. Let f be v(8). Suppose d - 3*i - 3 - 16 = f, -4*d + 20 = 2*i. Calculate the remainder when r is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69221538*o**3*s - 20*o**2*s - 88*o**2 + 85*s wrt o?\nAnswer: -415329228*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1688\/2743 + 1 + 2165\/(-1300).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -236*z + 220. Let u(f) = 48*f - 43. Give -11*u(h) - 2*v(h).\nAnswer: -56*h + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose y - 12 = -v*y. Suppose -2*z = 3*q + 4 - 3, z - 4 = -y*q. Which is the closest to -1? (a) -2\/9 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310 (base 5) to base 8\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-18)*(-744)\/(-434)*(-9)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -18 (c) -4 (d) 4 (e) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2077*o - 1173*o - 29820 = 1010*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:38 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(2\/9*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -9*g + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 2\/(-4))\/((-18)\/1260). Solve 0 = 8*c - c - l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-16)\/(l\/l**(-2\/7)*l) assuming l is positive.\nAnswer: l**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let h(w) = 28625*w + 741. Give h(y(t)).\nAnswer: 28625*t + 741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 30. Let o = -17 - -77. Calculate the greatest common divisor of g and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289866271 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 5. Let n = -4 - 4. Let h be a(n). Suppose t - 8 - 11 = -2*x, 2*x - 41 = -h*t. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -986572 divided by -5.\nAnswer: 986572\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -16. Suppose 5*k + 5*w - 1 = 4, 2*w = 4*k - 10. Suppose l - 27 = -k*l. Calculate the highest common divisor of i and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167765 rounded to the nearest 10000?\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w + 4. Let l be b(-6). Let v = -0.4 + 0.3. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 13*g**2 - 13*g - 22. Suppose -6*t = -72 - 0. Let x be l(t). What are the prime factors of (-36)\/(-10)*(-255)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 55*i - 73. Let c(a) = -27*a + 36. Let s(p) = 7*c(p) + 4*t(p). Differentiate s(d) wrt d.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2 - 20*g - 4. Let k be a(-10). Factor 9*c**4 + k*c + 0 + 3*c**3 + 9*c**5 + 1\/3*c**2.\nAnswer: c**2*(3*c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + a + 1 = -2*f, 4*f - 3*a - 17 = 0. Let i(r) = -r + 2*r**f + r. Let d(l) be the third derivative of l**5\/30 + 70*l**2. What is i(d(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.78 - 344.78. Let l = j - -336. Let x = 0 - 0.2. Sort x, l, 0.2 in decreasing order.\nAnswer: 0.2, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 32. Let o be 165\/25 + ((-68)\/(-20) - 3). What is the remainder when 120 is divided by j(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 104. Suppose -p + 272 + 58 = 0. Calculate the highest common divisor of r and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20805 - 164*l**4 - 20805)*(-1 + 3 - 1) + 0*l**4 - 4*l**4 + 3*l**4 in the form c*l**3 + t + h*l**4 + z*l**2 + a*l and give h.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3*b + 7. Let y(s) = -3*s**2 + 9*s + 22. Let q(n) = -7*l(n) + 2*y(n). Let v be q(4). Which is smaller: v or 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1002757? (a) 3 (b) 2 (c) 0 (d) 1\/6 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5913591*o**4 + 7*o**2 - 585072401*o.\nAnswer: 70963092*o**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5795446, -5795424, -5795382, -5795314, -5795214, -5795076?\nAnswer: -5794894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2970789 divided by -15\nAnswer: -990263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*a - 2*v - 20, -2*a - 5*v = 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let o(z) = 2945011*z. Determine o(q(v)).\nAnswer: -2945011*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Suppose -3*u + q + 102 = 0, l = -5*u + 2*u + 3*q + 96. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -246*x**4 + 4077769*x + 2710*x**4 - 4079661*x wrt x?\nAnswer: 29568*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*u + 120, 4*n + 3*u - 196 - 69 = 0. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010221 (base 3) in base 5?\nAnswer: -22224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:23 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.3 and 0.13.\nAnswer: 1.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k - 4. Let p(h) = 29*h - 10. Let v(y) = -5*b(y) + 2*p(y). Let a(f) = f**2. What is a(v(j))?\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 435 + -232. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 + 8*j - 1. Let t be c(8). Let h(p) = p**3 + p**2 - 2*p - 1. Determine h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose 6*j = s*j. Let y(c) = -c + 9. Determine y(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.499894 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302312 (base 4) in base 10?\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90.57 - -90.569994707. What is p rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2 - 22. Let o be (6\/(-4))\/(3\/v*-1). Solve -c = o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*q - 12, 3*s - 11 = -q + 6*q. Suppose -4 = s*p - 6*p, 0 = -4*b - 5*p - 807995. Round b to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 0 = 3*h - m*n - 63, -4*h + 5*n + 58 + 25 = 0. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8\/5)\/((-71)\/355).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 16*f + 19. Let v be j(-17). Suppose -m = -2*q - 7, 2*m - 5*q = 15 - v. Suppose h - 19 + m = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -7.969. Let g = c - -0.0310054. Round g to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/10 - 2)*660\/(-34166). Let f = -64563614344 - -3409087964463397\/52802. Let t = f - h. What is the common denominator of t and 49\/22?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqcqcnqccl. Give prob of picking 1 l and 3 c.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 + 1. Let u = 10 - 7. Determine d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 117. Let f(t) = -7838*t**2. Give l(f(z)).\nAnswer: 39190*z**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -19*s**4\/6 - s**3\/6 + s**2 - 9*s. Let k be (1\/3)\/((-1)\/3). Let z be i(k). What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8849.54173 rounded to 0 decimal places?\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-1 - (19 + -8 - 22)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*g = 542*g + 2*v + 39, 2*v + 190 = -5*g - 3*v for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (3 - 11) - (1 - 0). Suppose 5*v = 4*y + 2*v - 14, y = 2*v + w. Suppose 3*c - 5*c = -y*z + 10, -4*z - 5*c + 20 = 0. Solve z*t = t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375 by -1221819.\nAnswer: -125\/407273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 8, 16, 26?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(-45)\/(-72)*(-8)\/28?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2273, 3, 5, 55, 0, 4 in increasing order.\nAnswer: 0, 3, 4, 5, 55, 2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4350216.73300122 - 4350285.733. Let l = 69 + z. Round l to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*z - 6, -3*g - 21 = z - 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21583763 to the nearest integer?\nAnswer: 4646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100110111001010000 + 100?\nAnswer: 110100110111001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/18 - 286\/(-12). What is the tens digit of y + 2 + (-2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0 (base 12) to base 13.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-52)\/12 - 9\/(-27)) + 2132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3110160 is divided by 1555037.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 3\/4, 100465, 1.44?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*r + 63 + 423*r + 46*r.\nAnswer: -15*r + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -217857.\nAnswer: -2\/217857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 27969990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/2 (b) 7 (c) 1 (d) -2 (e) -5\/17 (f) 15 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a60 - -73?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -305315091\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (7 + 3) - (6 + -4 + 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/18)\/(36\/(-3240)*15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -80*l**3 - 440*l**2 - 525*l - 180 = 0.\nAnswer: -4, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.5, -5, 61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*c + 5*y + 18, 0 = -3*c + 2*y + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.96 - -101. What is the closest to x in -4, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(80)*1)**2 + 1 + -1 + sqrt(80) + -2 + -3 + 5).\nAnswer: 12*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -3*sqrt(931)*1 - (-1 + sqrt(931) + (sqrt(931) + -2 - sqrt(931)))) + -5 + 3.\nAnswer: -21*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {q: 1, s: 2, l: 1, a: 1, e: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 0.3, -288, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52640 is divided by 25200.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb5 (base 13) to base 3.\nAnswer: 2202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92285120 by 576782.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33374 + 0*o**2 + 33374 - 3*o**2 - 2*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -115. Let h be 5\/s + 3\/12. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2382*a - 2094*a + 3744 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.15, -1 in descending order.\nAnswer: 0.15, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, j: 1, r: 5, f: 1}. What is prob of picking 1 j and 1 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.19 + -0.19. Let s = -443\/339 + -3\/113. Which is the closest to v? (a) 2 (b) -2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = h, 2*h - h + g = 6. What is the greatest common divisor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 19*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2178 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1488, -1488, -1486, -1482, -1476?\nAnswer: -1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1137655 * -83.\nAnswer: -94425365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9*(1\/1 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 4*i - 406. Calculate the greatest common factor of i and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**2 + h - h - 2*h to j*h + l*h**2 + r and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228 + 5251\/23. Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388028583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 3, n: 1, e: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpkk when four letters picked without replacement from fnepkbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8) - 2\/12. Suppose -m - 2 = b, 0 = -m - 3*b + 7*b + 8. Suppose m = -q + 6*q. Put q, 5, z in decreasing order.\nAnswer: 5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microsecond in nanoseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9 + 10616*z**2 + 5*z**3 - 3*z - 10613*z**2 - 4. Let g = -6 + 8. What is the units digit of l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1.633.\nAnswer: 8.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -158. What is the third derivative of 18*v**3 - 28*v**f + 17*v**3 - 33*v**3 - 42*v**2 wrt v?\nAnswer: -672*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 42*f + 254. Give m(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/3 - 482503*s**2\/3 = 0?\nAnswer: -482503, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19670 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713011 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + h + 7. Let o(p) be the second derivative of p**5\/20 - p**2 - 1373*p. What is 2*k(n) + 9*o(n)?\nAnswer: n**3 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 10173*i - 15479040.\nAnswer: 3*(i - 1280)*(i + 8062)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 537 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (11 + -17 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r - 11 + r**3 + 9*r + 3*r**2 - 3*r**2 in the form s*r**3 + k*r**2 + a + j*r and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64872993?\nAnswer: 3, 21624331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1874114 is divided by 5578?\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1878.2 + 1877.2. Which is the closest to h? (a) -5 (b) 0.25 (c) -19 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 74920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/189*-3*6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 13) to base 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2157 - 6641 + 22641)*(4 - u - 4 + 2*u - 3*u + 0*u - 3 + 3 + u + (-2 + 4 - 1)*(4 + 2*u - 4) + u - 3*u + 4*u) in the form g + t*u and give t.\nAnswer: 41529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*z**3 - 46\/3*z**2 + 0 + 72*z.\nAnswer: -2*z*(z - 4)*(z + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 73.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -636 + 891. Let i(c) = -9*c + 40. Let m be i(17). Let b = h + m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/16*1)\/(20\/(-80)). Let o be (-4)\/(-6)*(-3)\/(-2). List the prime factors of ((-156)\/w)\/o + 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 183\/(-2)*(-664)\/12. Suppose 5*l - 25 = 0, l = 4*j - 0*l - n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 224204253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1298 - (-1*6)\/3. Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45584 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 - -465. Calculate the lowest common multiple of f and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 4*t - 4. Let i be r(2). Is -2*15\/(-1 + i) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.1 (c) 0.3 (d) -75\/8 (e) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 - -166 - ((-1 - (-2 - 3)) + (-27 - 8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77359225 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2277274076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8*o = 0. Let x be (o\/(-4) + -6)*2\/(-4). Suppose -8*l + 275 = x*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*239.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.9 + 17.66. Let v = -0.24 - y. Let h = -1.04 + 1. Which is the fourth biggest value? (a) h (b) v (c) -0.5 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*n + 6*n - 12649, -n + 2*q + 6311 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (29 - -1)*(-12)\/30. List the prime factors of ((-6)\/g)\/((-2)\/(-72)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136930039 rounded to 4 decimal places?\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/8 - 2691*m**2\/8 - 26068*m + 109662.\nAnswer: -(m - 4)*(m + 84)*(m + 2611)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + -4 + -3.\nAnswer: -7 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 50 = 43*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000094842461 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 21*x + 50 = 0. Let d(a) = 6*a + 3. Suppose -3*s + 7 = -i - 1, 0 = -5*i - 10. Let c(p) = p - 6*p + 0 + p - s. Determine x*d(t) - 8*c(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1932*v - 78558 = -1935*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -275, -2\/3, -4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*p - 2*f + 12, 4*p - 2*f + 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 3\/5 (b) 2\/3 (c) 23 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2077702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**(3\/2)*f*f)\/f)\/f)**(1\/6)*f**(2\/3)\/(f\/(f*f\/f**(1\/14))) assuming f is positive.\nAnswer: f**(197\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 693 - 810. Let c = 711 - t. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 1716*w + 0*w**2 - 1517*w + 904*w.\nAnswer: -w**2 - 2329*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7081*v + 7081*v - 15088*v**2 to the form o + m*v + f*v**2 and give f.\nAnswer: -15088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -364, 640, 1644, 2648?\n\"Answer: 1004*l - 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2 + 1 - 5 + 13 + 1 - 16*l**3 + l wrt l.\nAnswer: -96*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvfiuduq. Give prob of sequence fi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g**3 + 10*g**2 - 3*g + 57. Let x(p) = 11*p**3 - 4*p**2 + p - 29. Let a(l) = -2*k(l) - 5*x(l). What is the derivative of a(q) wrt q?\nAnswer: -39*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40353 + 7)\/((2\/(-5))\/((-1)\/(-5))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 + 104*o**3 + 992*o**2 + 4096*o + 6144 = 0.\nAnswer: -8, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 5*g = -182 - 1541, -7*z - 2*z - 5*g + 93 + 344 = 0 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 793259.5l?\nAnswer: 793259500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 + 163*z**4 + 15015*z**3 + 159005*z**2 + 254506*z - 1267728 = 0. What is z?\nAnswer: -56, -7, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:11 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 196 = -5*i, 80 = -2*i - 0*d - 2*d. Let h = -22 - i. Let x = h - -7. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 100110000?\nAnswer: 100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 5*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/68 and 59\/85.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 36*b. Let x(d) = -10*d**2 - 2*d + 2933. Calculate x(v(i)).\nAnswer: -12960*i**2 - 72*i + 2933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/12*411\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4392127 and 55701?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. Suppose 5 = -5*u, -3*u + 3 = -a*c + 84. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/221 - 2\/13. Suppose 9*p + 1433 - 6176 = b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 882, -56 in descending order.\nAnswer: 882, -10, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1128?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 547dbd + -4?\nAnswer: 547db9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77193618 to the nearest integer?\nAnswer: 8786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 11) to base 15.\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -32. Does 5 divide v - -1 - (10 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180975 divided by -2413.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 719.94 and 594600.\nAnswer: 595319.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285 - 288. Let w be (2655\/(-27))\/(-5) + (-1)\/r. Solve 5*i = 3*d - w + 6, -3*i = d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 190 = 190. Suppose -29*w + 27 = -25*w + 5*h, -w + h = f. Solve -w*a + 0*g - g - 20 = 0, 0 = -2*a - 3*g - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10881, 10889, 10897, 10905, 10913?\nAnswer: 10921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93473.9924 + 93489. Let q = -15 + c. What is q rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*sqrt(13)*-3.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2270 and 3066770.\nAnswer: 3066770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53282731\/11 + -4840641. Let s = 3247 - f. Find the common denominator of -83\/8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(1\/19)*b*b**(-10\/7))\/(b**(10\/7))**(-22) assuming b is positive.\nAnswer: b**(628\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4 + 3\/4*q**5 + 45\/4*q + 219\/2*q**2 - 48*q**3 - 297\/2 = 0.\nAnswer: -11, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 53236080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2145 = 9*f + 363. Calculate the remainder when 215 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92666729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.39 - -3.19. Sort k, -70, -9.\nAnswer: -70, -9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -620?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/24576 and -43\/122880?\nAnswer: 122880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/4 - 7)*-2. Find the second derivative of -102*a**5 - 101*a**5 - 2 + t - 6*a**3 + 83*a + 6*a**3 wrt a.\nAnswer: -4060*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 4*k - 3. Suppose z = -2*z + m - 15, -z = -2*m + 5. What is j(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from yxy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2190 and 18021?\nAnswer: 13155330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5*m + 2*p + 6 = 0, -76*m - 199 = 3*p - 53 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = 53*p + 221 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339 - 315. What is the closest to 1\/3 in 5, 1\/18, r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 608*x**2 + 608*x**2 - 94*x - 1217*x**2 in the form r*x**3 + g*x + h*x**4 + d*x**2 + u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 10 (c) 0.1 (d) -4\/157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offhyy. Give prob of sequence fo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43443866 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157842456.\nAnswer: 2, 3, 41, 160409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 22*k + 33. Let m be 1148\/(-56) + (-14)\/4 + 1. Let p be q(m). Solve 0 = -8*l + 3*l + 5*r - p, -20 = -4*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.25 + 8.36. Let a = d + -0.11. Let w = 6 - 9. What is the third biggest value in w, a, 5\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, o: 2, r: 7}. What is prob of picking 3 i and 1 r?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128622552 + c**3 + 128622552.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -1185, -1777?\nAnswer: -2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7891992.\nAnswer: -5\/7891992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3bb + -31?\nAnswer: 38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 209, 0.1, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:18 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 26. Let b = -28 - q. Suppose -n + 12 = 4*w, -b*w - 12 = -n - 3*n. Solve 3*v - w*u + 2 = 0, -2*v + 5*v + 3*u = 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218345?\nAnswer: 5, 43669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 57. Let q = 26 - i. Let s = 29 + q. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*n**2*r**2 - 498856*n**2 - 57239*n*r**2 - n - 10 wrt r?\nAnswer: 22*n**2*r - 114478*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 110*f**3 + 289 - 145.\nAnswer: 110*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 5*m**2 - 3*m**3 + 5*m**2 + (-2*m - 3*m + 4*m)*(3*m - 3*m + m**2) + 0 - m**3 + 0.\nAnswer: -5*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -15, 0, 0.07, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2133*w + 23*w**3 + 2133*w.\nAnswer: 23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42\/19 - -1407\/95. What is the common denominator of -113\/6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/260 and 12\/(-60) - (18\/(-64))\/((-6)\/(-56)).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5*436333.\nAnswer: -1090832.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 - -162. What is the nearest to j in 3\/4, -2, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -777*o - 522*o - 374*o - 304*o - 842 wrt o.\nAnswer: -1977","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - b = -14, 5*q + 4*b - 37 + 14 = 0. Suppose -3*u + 62 + 46 = 2*o, o - q = 0. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + 44\/(-66). Suppose 3*u = 2*d + 26 + 7, q = 5*u - 4*d - 57. Let v be (-4)\/(-2)*27\/6. What is the highest common divisor of v and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 7. Let m(d) = 5*d**2 + 8. Let n(g) = 5*m(g) + 6*w(g). Let u be n(-4). Solve f - 12 = -f - 2*a, f + 3*a = u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 4*v**3\/3 + 3988*v. Let d(l) = 26*l. Let m(y) = 5*y. Let z(f) = 3*d(f) - 14*m(f). Give k(z(x)).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/70*(-886)\/(-1329)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 10*f + 10. Let r be h(-8). Let s(k) = -k**3 - 4*k**2 + 12*k + 7. What is the remainder when 48 is divided by s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257 greater than or equal to 145129\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m + 186. Let b(n) = -n + 47. Determine -9*b(s) + 2*d(s).\nAnswer: -s - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 835, -1758 in descending order.\nAnswer: 835, 4, -1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8 - 8*y + 2 - 9*y + 23*y. Let c be t(4). What is the highest common divisor of c and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - k)*(-k**3 - 4*k**3 + 3*k**3) + k**4 + k**4 + k**4 - 5*k**4 + 2*k**4 + 5*k**4 - 2*k**4 - 3*k**3 + 3*k**3.\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 365130602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 433700 (base 8) in base 9?\nAnswer: 241333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110110101?\nAnswer: 110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 814002*o**4 + 2*o**3 - 340708*o**2 + 3*o wrt o.\nAnswer: 19536048*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-483)\/42 - (-13916)\/392.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 373 + 90. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -71\/5, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*18\/(-3). Suppose -4*y - y - 105 = -3*u, -5*u = a*y - 209. Let x be 6799984\/u - (-2)\/5. Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179\/8 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 879*j**5\/20 + 659*j**4\/6 + 570*j. What is the third derivative of k(w) wrt w?\nAnswer: 5274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3345 and -23.\nAnswer: 76935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = q - 477. Let c = -384 + q. Suppose -f = -6*f + c. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -5*v - 10*k + 2259, 0 = 5*v - 4*k - 2239. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/469 and -50\/231?\nAnswer: 15477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**5\/210 - u**4\/28 + 2*u**3\/21 - u**2\/2 - 3*u. Let p(d) be the first derivative of b(d). Determine c so that p(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2888\/(-7942)*((-1375)\/(-40))\/5.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2 - 2*v - 1. What is the remainder when r(2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnjnjvvjvvvnnvvcv. What is prob of picking 2 v?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((72\/135)\/((-4)\/(-10))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-1660) + (-9144)\/7470.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122801 to the nearest 1000.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5021 and -48979.\nAnswer: -43958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006682681 to seven decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.982991 * -0.0299\nAnswer: -0.0293914309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g + 5*g - 176*g**2 + 177*g**2 + 13. Let k be d(5). What is the tens digit of ((-441)\/(-6))\/(-7)*k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10501 less than 46574?\nAnswer: 57075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:58 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2550)\/(-2375))\/((-1)\/(-10)). Is l equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 14, 5, -2, -7, -10, -11?\n\"Answer: v**2 - 14*v + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -6, 12 in ascending order.\nAnswer: -6, 12, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 30. Suppose 0 = 5*c + 13 + 67. Is 4 a factor of o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (392 + 187 + 68)*(-8*i + 0 + 0) to z + r*i and give r.\nAnswer: -5176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99421*a - 115267 with respect to a.\nAnswer: 99421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*g + 25793, -5*g + t - 20624 = -g. Let q = -2920 - g. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809505007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Let w be 3*6\/(-3)*-1. Let x(z) = -w*z - 4*z**2 + 6*z. Calculate p(x(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01442836 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12200021 (base 3) to base 2\nAnswer: -1000000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 8*x - 3. Suppose -2 - 7 = -3*d. Let l = -4 - d. What are the prime factors of s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3448?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = h - 4. Let o = h + 9. Let b be ((-5)\/2)\/(3 + o\/4). Solve -r = b*j + 9, -r - 5 = j + 2*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, s: 2, f: 6}. Give prob of picking 1 s, 1 i, and 1 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c3bc1 - 9?\nAnswer: -8c3bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 5)*(7*g**3 + 4*g - 4*g) to the form w*g**2 + x*g + z + d*g**3 and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2641 + -3d0?\nAnswer: -2a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 6*g + 3. Let t be ((-2)\/4)\/((-1)\/12). Let n be q(t). Suppose 67 = n*l - 2*j - 258, -3*j = 4*l - 405. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 14*h + 29*h - 4089730. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3587 - 3775 - (0 - 57).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48342 and 1532011.\nAnswer: 1483669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6237727829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -105. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.5? (a) 7 (b) 7\/3 (c) 0.2 (d) 548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 402*h**2 + 2331*h - 3456.\nAnswer: 3*(h - 128)*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3\/2 + 34614*r**2 + 199410966*r - 3199442784 = 0.\nAnswer: -11546, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12031 (b) 0 (c) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77323 is divided by 224?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1332 = -3*k + k, 4*g + 1774 = -2*k. Let h = g - -442. Solve 17*r - 20*r + 15 = h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = q. Let n = 9 - q. Solve -r + 12 = r - n*j, -5*r + 2*j = -6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1600*z**3\/3 + 9848*z**2\/9 + 166*z\/3 + 4\/9 = 0. What is z?\nAnswer: -2, -1\/24, -1\/100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -132959835131285?\nAnswer: -132959835131285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 23*o**2 + 214*o + 1913. Give v(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 + 0*p**2)*(-2*p**3 + 0*p**3 + 5*p**3) + (p**3 + 3 - 3)*(-2 + 2 - p**2).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 1, z: 1, g: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + r = 2 - 7, 5*a - 3*r = -2. Calculate the common denominator of (-6)\/8 - (-402)\/(-56) and a\/(16\/122) - 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63997220 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17370379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a20 - -8?\nAnswer: -2a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332005 (base 6) in base 14?\nAnswer: a113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*3*-3 + sqrt(170) + sqrt(170) + (2*sqrt(170) - sqrt(170))*2 + sqrt(170))\/((sqrt(640) + (sqrt(640)*1*6 - sqrt(640)))*5).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2009 - 1999. Solve -h + f + 2*f = a, 5*h = 5*f - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 - 8. Let b be h(0). Let a(t) = -2*t. Let f be a(b). Suppose -f + 7 = -n. What is the least common multiple of 8 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -373, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 11 - 6. Let r(v) = v**3 + 7*v**2 - 6*v - 11. What are the prime factors of r(s)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 136 (c) -2.9803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 34 - 417*k + 415*k)*(k - 3*k + k).\nAnswer: 2*k**2 + 23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (0 - -1))*(-21)\/((-399)\/(-38)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + h = 1, 5*h = 3*n - 7*n + 3. Suppose 0 = -m + 4*d + 12, -m - d - 16 = n*d. Is -4 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80e5 (base 16) in base 14?\nAnswer: c04d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, -19750 in increasing order.\nAnswer: -19750, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3 - 5) + (5 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-85)\/(4\/6*24\/(-128)). Suppose 4*x = 14*x - w. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -192*t + 23568. Calculate v(116).\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2790662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + p - 2. Calculate w(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 - 0)*-3 + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*r**4 - 60*r**3 - 99*r**2 - 6*r - 116689 wrt r?\nAnswer: 20*r**3 - 180*r**2 - 198*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -188. What is the remainder when s is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58706693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 11. Let r = o - -2. Let m = r - 7. Which is the biggest value? (a) -1\/3 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 16) in base 13?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 3*p**5\/20 - 103*p**4\/2 - 208*p**3 - 2085*p. Solve d(g) = 0 for g.\nAnswer: -2, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/8)*(w**(-2\/11)\/w)\/w*w*(w\/w**(2\/5))\/w*w*w*w**(-6) assuming w is positive.\nAnswer: w**(-2511\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15455895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 111*n**4 + 9*n**3 + 1580*n**2 - 18*n + 3375. Let x(a) = -12*a**4 - a**3 + 2*a. Let u(t) = m(t) + 9*x(t). What is the derivative of u(r) wrt r?\nAnswer: 12*r**3 + 3160*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 26*s**2 + 12*s + 15. Let n be w(24). Which is smaller: n or -5089\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -16\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 15*w**3 + 5*w**4 - 25*w + 4*w**2 + 1 + 15*w**3 - 4*w**4 as z*w**2 + k*w + r*w**4 + m*w**3 + i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 93\/4*t**2 - 3\/2*t.\nAnswer: -3*t*(31*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t + 373 + 369 - 751 to d + j*t and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/6 - 4*t. Let l be h(0). What is the third smallest value in l, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*m - 12564 + 14722 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-4)*(4 - 0). Let x be 1*m\/2*-2. Let z = x - -12. Solve -3*t = 3*f - 6, 5*f - 4*t + z*t + 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (sqrt(720) - (sqrt(720)*5 + -2)) + sqrt(720) + (-4 + (sqrt(720) - (sqrt(720) - sqrt(720)*3 - sqrt(720))))**2 + 2)*-6.\nAnswer: -69240 + 2448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 724247 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1095*d**6 + 19*d**4 + d**2 - 5*d + 3937 wrt d?\nAnswer: -131400*d**3 + 456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06669 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1533492 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h - 2195219 = 1231901. List the prime factors of h.\nAnswer: 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.01 - -521.\nAnswer: 522.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098*y - 553*y - 549*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - 3*b - 391, b = -5*p + 952. Suppose -4*z - 7 = -p. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 10*o + 19. Determine z(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -147*v + 83. Let x(f) = -4 - 66*f + 17*f + 31. Let w(d) = 6*a(d) - 17*x(d). What is the first derivative of w(t) wrt t?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - (6 - 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -35 (c) 431 (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**3 + 46*m**2 + 63*m + 4. Let c(f) = 26*f**3 - 136*f**2 - 190*f - 12. Let o(g) = -3*c(g) - 8*n(g). What is the second derivative of o(l) wrt l?\nAnswer: -36*l + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let w(i) = 5*i - 20. Suppose 6705*g - 6727*g + 22 = 0. Calculate g*w(a) + 3*x(a).\nAnswer: 2*a - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - z = -3, -4*a = a - 2*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 + 9. Is 12 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09421 + 120\nAnswer: 120.09421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85948671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 39*m. What is z(12)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-30) - 0)*(-75)\/(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11312929 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j - 43. Calculate a(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 107*k**2 + 3*k + 1. Let c be s(2). Suppose -c = -3*j - 5*p, 0 = p - 4 + 1. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, u: 2, e: 2}. What is prob of sequence uwe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i*i)**(-5\/3)\/((i**(-5\/4)\/i)\/(i*i*i*i**(2\/13)*i)) assuming i is positive.\nAnswer: i**(479\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 - -58. Let r = 81 + q. Let p = r + -22. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 2*d - 3*d**3 - 2 - 6*d**2 + d**3. Let x = 18 - 12. Calculate the remainder when w(-6) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 3, c: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 9. Let r be 10*(-3 + (-20)\/(-8)). What is the lowest common multiple of 7 and a(r)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 2, d: 3, l: 6}. What is prob of picking 1 d and 2 q?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/((-28)\/4) + -5. Let h = 0.028 - 5.028. Which is the closest to 1? (a) q (b) -1 (c) 2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480376270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 15*z - 7. Let q be y(-9). Solve -6*t - q = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/9*4\/6)\/(14\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 796, 654, 512, 370, 228, 86?\n\"Answer: -142*n + 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 1, s: 1, r: 2, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r = n + 204, 284 = -3*r + 4*n. Let j = -84 - r. Let b(o) = 33*o**2 - j*o**2 - 16*o**2 + 16*o**3. Give b(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 7) in base 5?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by 3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198011 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6*d - 2*v + 8, -3*v + 12 = -5*d. Let w(y) be the first derivative of y**3\/3 + y**2\/2 - 12*y - 11. Give w(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*i - h, i = 5*h - 2*h + 1. What is the least common multiple of 2 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 6 = 7*f + 5*f + 13, -l - 5915*f = -5916*f - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1015*c**3 + 174*c**2 - 174*c + 174. Let y(v) = 29*v**3 + 5*v**2 - 5*v + 5. What is 5*k(t) - 174*y(t)?\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9032 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2700 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + 20*o - 17. Let q(z) = z**2 - 7*z + 6. Let a(p) = 6*b(p) + 17*q(p). Let j be a(1). Solve 4*f = -j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.92 + 1.32. Which is the fourth smallest value? (a) 0.8 (b) 2\/11 (c) -0.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 20*y - 6. Let h be (-2 - -1)*3*(-102)\/(-18). Let k be a(h). What is the remainder when (510\/k)\/(-1 - 4\/(-3)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 78820.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -325, -334, -345, -358?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7735 and 490.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3*j - j = 0. Let z be (-3 - (j - 3))*-1. Suppose z = 5*c - 9*c. What is the third biggest value in -2, c, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/28 - (-192)\/7. Suppose n - 9 = g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12065, -48307, -108791, -193583, -302749, -436355, -594467, -777151?\nAnswer: -984473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 259. Let d be (2 - -2) + s\/(-35). Determine p so that 2\/7*p**2 - d*p + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 795 and 3339?\nAnswer: 16695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 961503 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 12. Let v be (q\/(-50))\/((-1)\/15). Let g = -203.9 - -200.9. Which is the closest to v? (a) 0.1 (b) g (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(112)\/(sqrt(4) + sqrt(4)*-3)))**2 + 4.\nAnswer: 8*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -38230 smaller than -38224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9625)\/525)\/(1\/(-3))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n - 3. Let q(k) = 13*k + 4. Let z(u) = -7*i(u) - 5*q(u). Let c(g) = g. Let f = 3 + 2. Let w = -4 + f. Determine w*c(p) + z(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 798741 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-18)\/15)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55120782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 3*j + 6 - 6*j**2 + 6*j**2 + 1. Let n(b) = -5*b**2 + 3*b - 6. Give -6*k(u) - 7*n(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.834?\nAnswer: -0.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106438?\nAnswer: 2, 19, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -736713 + 736688. Suppose 5*r - 12 = -4*q, -3*r = -4*q - 12 - 8. Let c = -3 + 1. Sort 0.3, g, c, r.\nAnswer: g, c, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2)\/c)\/c)**5)**(2\/75)\/(c**(3\/8)*c**(-3\/8)\/c*(c\/c**(-2))**(-33)) assuming c is positive.\nAnswer: c**(499\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -60*y - 221. Let q be j(-4). Let a(w) = -w**2 + 24*w + 31. Let h be a(q). What is the greatest common factor of h and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 + 0*s + s + (-s - 6*s - 9*s)*(1 + 0 + 0) - 6*s - 16*s + 7*s to the form m + j*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 12. Let b be (1 - 8) + (7 - 6). Let p be k + -2*(-3)\/b. Solve -p = c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 8*r**2 - 9*r. Let h(o) = 4*o**3 + 24*o**2 - 27*o. Let s(g) = -2*h(g) + 7*z(g). What is the units digit of s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16303 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71\/(7455\/(-450)))\/((-6)\/(-21))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5704*c + 26262 = -5701*c. List the prime factors of c.\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 16552 = 5*a - 16548, q - 15 = -4*a for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222021010112 + -2121?\nAnswer: -2222021020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295\/32 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (62 + 1 - 35)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -10004154?\nAnswer: 10004144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-4))\/((-3)\/(-2))*2. Sort t, 1, -5, 8 in descending order.\nAnswer: 8, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 - 6*s - 1. Let k be x(-5). What is the common denominator of (-2)\/30*639\/6 and ((-3)\/k)\/((-78)\/172)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q + 4. Let v be j(3). Let b(m) = m**2 - 6*m + 9. Let f be b(6). Suppose 2*z + f = -3*x + 34, 0 = 3*z - 15. Solve i = x*i - v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 4*d + 2. Let a(h) be the second derivative of -h**4\/6 - 2*h**3\/3 + h**2 - 5*h. Let o(c) = -5*a(c) + 4*u(c). Suppose o(p) = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-232)\/(-48) - 2\/(-12). Let x(f) = -6*f**2 + 0 + 1 - 4 - f**3 + o - 2*f. Let p be x(-2). Put p, 1, 0 in descending order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 14*h + 16. Does 13 divide s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29195870?\nAnswer: 2, 5, 11, 265417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126093754 - 67793754. What is m rounded to the nearest one million?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1526750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwo when three letters picked without replacement from {a: 2, o: 2, w: 1, u: 8}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + (-30)\/6)*9\/3. Let t(y) = -2*y + 1. Determine t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/30)\/((-2)\/510).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 0*i**3 + 5*i**3 + 9146331 - 9146331.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5901 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334595450?\nAnswer: 2, 5, 7, 955987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:26 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1701184 and 2451?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 - 4*k + 2. Let o be l(4). What is the units digit of 2 + o*30\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315605.\nAnswer: 3, 5, 229, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11 = l, 5*l = 7*c - 9*c - 11. Solve -8 = -c*d + 5*r, -3*d - 5 = r - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 13 = -29645*r + 29644*r, -5*r - 77 + 37 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 + 3. Let d be v(-9). Solve d*c + c = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 + 274 = -180*t - 64*t. What is the closest to t in -0.042, -3, -0.06, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 6 = 26. Calculate the remainder when ((-2)\/y*2)\/((-23)\/2162) is divided by (-2)\/(-4)*-2 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (15 - (25 + -16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a + 2. Let x be w(-5). Let m(y) = y**3 + 8*y**2 - 2*y - 5. Determine m(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -50 - 64. Solve 0 = i*b - 3*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75862, 75850, 75838?\n\"Answer: -12*c + 75874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from xbbbbbbbbbbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0831 minus 136574.575?\nAnswer: -136574.6581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + 19*a. Let f = a - -52. Calculate the greatest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/12 + 11*w**3\/6 + 8*w**2 - 18*w. Let f be j(12). Solve 5*a + q - 1 = f*a, q - 7 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3105 and 10784654.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 813960942508 and -4.\nAnswer: 813960942504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 680\/982527 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 14*f + 0*f - 11*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**8\/20160 + m**5\/30 - 2*m**2. Let b(g) be the third derivative of z(g). Let h(x) = -x. Give b(h(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 15, z = -z + 2*u + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i - 435600 = 0. Suppose 5*j = -3*j - 1174400. Let u = j + i. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.06 - -4.06. Let m be (-15)\/(-63) + 2\/(-3). Sort -5, m, f in ascending order.\nAnswer: -5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4354827497?\nAnswer: 1031, 1999, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25221*r*s*v - 1137911338*r*s + 4*r*v - s*v wrt v?\nAnswer: 25221*r*s + 4*r - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7290365?\nAnswer: 5, 17, 199, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919919.\nAnswer: 7, 11, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027303194 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -2*r**3 - 5*r**2\/2 + 4*r + 2. Let f = 13 - 17. Let h(q) = -3 + 11*q - 8 + 2 + 13*q**2. Give f*h(x) - 9*b(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h = -42*h - 45. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9875806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - 4 - -4 - (-6 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + (-9 - -13 - -13).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 170305020?\nAnswer: -170305026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h = 93*h - 4200. What is the remainder when 1098 is divided by h?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 20. Let g be 92\/22 - (-4)\/l. Let n(o) = -o**3 + 4*o**2 + o - 2. Let p be n(4). Calculate the greatest common divisor of p and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 20*m + v - 11 = 0, 2*m + 11 = -5*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47 - -179) + -2 + -3 + 2. Suppose -10*x + f = -221. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {n: 3, t: 1, i: 3, x: 1, r: 2, l: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 110. Suppose -2*a = -8*a - c. Calculate the remainder when 54 is divided by (-6)\/(-9)*(-6)\/(-4) - a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133688000 to the nearest 1000000.\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 81, 94, 107, 120?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 4598199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4596, -4557, -4504, -4437, -4356, -4261?\n\"Answer: 7*f**2 + 18*f - 4621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**2 + b - 1. Let k = 1 - -1. Let o be u(k). Let w = -16 + o. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2127.45 - 2126.55. Let d = -3 - -2. Let t = -1 + d. What is the nearest to -2\/3 in n, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/((g**(2\/5)\/g)\/g))*g)\/(((g**(-7)*g)\/g)\/g)*g\/(g\/g**(2\/5)*g)*g**(-4)*g)**(-29))**(-3\/8) assuming g is positive.\nAnswer: g**(261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 108 = 5405*d - 5401*d, -3*l = -7*d + 169 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8604 - -146266\/17. Which is the nearest to -4? (a) 4\/5 (b) -0.5 (c) -2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432 is divided by 1140.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 6*x**2 - 7*x - 6. Let o be f(-7). Let k = -10 - o. Let b be k\/(-6)*(2 - -4). Solve 5*l = -u - 21, -b*l = 2*u + 5 + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -78*t + 305. Put 2, -41, t, -4, -8 in descending order.\nAnswer: t, 2, -4, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973709 divided by -697?\nAnswer: -1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -0.5, 5, -4\/5, 2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 + 74. Let q = -44 - r. What is the nearest to 1 in q, -2, 23\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**2 + 7128. Let o(k) = -45*k + 1. Calculate x(o(a)).\nAnswer: 90*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 0 - 7 + 12*t + 6 - 3*t**4 + 2*t**4 - 2 to the form u*t**4 + w*t**2 + h*t**3 + n + d*t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - 29 + 29 + 17 + (-38 + 2 + 12)*(-m - m + 3*m) - 5*m + 0*m + 4*m.\nAnswer: -28*m + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-3)\/(3\/(-3)). Let q(w) be the first derivative of -2\/25*w**5 + 0*w - 2 + 1\/5*w**4 - 2\/15*w**3 + c*w**2. What is s in q(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/f**(2\/9)*((f**(-13)*f)\/f)\/f*f**(1\/4) assuming f is positive.\nAnswer: f**(-683\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*t**2 + 3 - 2*t + 11*t**2 + 2*t**3 to d + n*t**3 + f*t + u*t**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329 and 3807?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -20. What is the common denominator of 29\/12 and 3 + (27\/b - -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -18084*l - 72458. Determine c(-4).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-2)\/8). Let s(i) = -3*i + a*i + 2 - 1. Let y(x) = -2*x + 5. Let w be y(4). Let g(t) = 4*t - 3. Determine w*s(p) - g(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80345106.\nAnswer: 2, 3, 89, 50153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.31564 to 2 dps.\nAnswer: 5.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let g be 9*(-4)\/(5 - b)*-3. Let n = g + -17. Calculate the greatest common divisor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2 - 2) + 3. Let o(k) = -25*k**2 - 9*k - 36. Let a(c) = -6*c**2 - 2*c - 9. Let i(q) = w*o(q) - 9*a(q). What is the derivative of i(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*j**3 + 323*j**3 - 642*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.2 (c) 808\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 12 + 48. Let u be ((-51)\/h)\/((-4)\/104). Let f = u + 35. What is the highest common factor of f and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50386366 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 7 = 4*c - 1, 3*v - c = -12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnkddkkdkdvvkdkdkk. Give prob of picking 4 d.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.921557*4.\nAnswer: -3.686228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39\/23 + -264\/115. What is the nearest to -2\/7 in -44, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s + 57*s = 4. What is the common denominator of 25\/7 and (-144)\/800 - s\/(-50)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2357649741 to the nearest integer?\nAnswer: 48556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/17)*r)**(3\/26))**(-17))**2 assuming r is positive.\nAnswer: r**(-96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -46*t**2. Let g(z) be the second derivative of -2 + 0*z**2 + 4\/3*z**3 - 30*z. What is g(w(n))?\nAnswer: -368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(2002\/(-44))*(28\/(-8))\/((-164)\/8)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. Differentiate 5*x + 1 - i*x - 5 - 7*x with respect to x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38c72 + 1c9b?\nAnswer: -36ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 f when four letters picked without replacement from aaffff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.9 + -8. Which is the nearest to -0.2? (a) -5 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1109 divide 108615460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 3*j**2 - 3*j**4 + 3*j**4 - 1 - j**4 to the form p*j**3 + o*j**2 + a*j + l + t*j**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 887946, 887925, 887892, 887847, 887790, 887721?\nAnswer: 887640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 136 - 151 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 7:35 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -43*f**4 + 5*f**3 + 76*f**2 + 54. Let m(x) = 3*x**2 - x. Let y(w) = h(w) - 5*m(w). Find the second derivative of y(a) wrt a.\nAnswer: -1032*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 617475439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + 4*r**3\/3 - 2*r**2 - 8*r. What is j(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2873 less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c98 - -3a03?\nAnswer: a89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11910, -94257, -317470, -751983, -1468230, -2536645?\n\"Answer: -11739*g**3 + g**2 - 177*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 3 + -52 + 36 - -52.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 1\/30*q**6 + 0*q**3 - 9*q**2 + 1\/15*q**5 + 0*q - 1\/3*q**4 + 0. Factor v(c).\nAnswer: 4*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 101 = 32. What is the remainder when i is divided by 5\/2*108\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365858219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7608 - -7611. Let u(d) = d**3 - 3*d**2 + 2*d + 4. Let n be u(3). Solve 4*q = -4*w - n - 22, 0 = -5*w - l*q - 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2878.56 - 0.\nAnswer: 2878.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i**2 + 7*i - 34. List the prime factors of f(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-8) - 59211\/(-1836). Factor j*y + 69\/2 - 3\/2*y**2.\nAnswer: -3*(y - 23)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77503876 divided by 478?\nAnswer: 162142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(45)\/(sqrt(9) - (sqrt(144) - (2*sqrt(144) - sqrt(144)))))**2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -2.640217\nAnswer: 0.5280434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4480, -4479, -4478, -4477?\nAnswer: -4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -278 - -277.9. Let u = 78 + -84. Which is the second smallest value? (a) u (b) -5 (c) 2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1368*v + 350242 - 350242 in the form x*v + s and give x.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/29)\/o)\/o*o**(-23)*o assuming o is positive.\nAnswer: o**(-694\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25015*s**5 - 461*s**4 - s**3 + 9*s**2 - 5*s - 1019678 wrt s?\nAnswer: -1500900*s**2 - 11064*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -28. Let j = k + -15. Let y = -11.999978 + j. What is y rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 33 + 1392 = 61*y. Calculate the lowest common multiple of y and 2850.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40 and -630.8.\nAnswer: -670.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 93, -1.48 in decreasing order.\nAnswer: 93, 0.5, 0, -1.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-21 + 2415\/30) - 2\/4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -1*sqrt(77)*-6) + sqrt(77) - sqrt(77))\/((-1*sqrt(35))\/sqrt(5)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20597616509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175106 = -3*q + 3*v - 217909, -4*q - 524025 = -5*v. What is q rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.81498 + 0.01898. Let o = -107 - u. Round o to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from {n: 2, d: 5, w: 4, h: 2, c: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*y = -40, 24*k - 22*k - 5*y = -30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - (66 - 3)) + -35?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25652 and 484?\nAnswer: 25652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -1887 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*m + i + 7, 7 = -3*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q = -z, 0 = -z - 3*q - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 363864984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574 by -82.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/3 + 13*s**2\/2 + s + 1. Calculate the remainder when 35 is divided by l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.109*-233\nAnswer: 25.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/3 (b) 1\/38 (c) 3 (d) -5 (e) 82\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 + 142. Suppose 15*y + 3*y - 7740 = d. List the prime factors of y.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 4, v - j = 15. Let p = -402 - -438. Suppose q - v = p. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 7. Let u(t) = -4*t + 11. Let x(g) = 4*o(g) + 3*u(g). Let l(j) = -9*j - 11. Determine 3*l(k) + 7*x(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 727903*j**5 - 322956*j wrt j?\nAnswer: 14558060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 divided by 3?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v + 2. Let i(r) = 13*r + 1. Let a(m) = 2*i(m) - 3*z(m). Find the common denominator of a(-4) and 3\/((-45)\/(-6)) - 148\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:39 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*o**4 - 29*g**2*o**3 - 354*g**2 - 26*o**3 - 2*o**2 + 2*o wrt o?\nAnswer: -48*g**2*o - 174*g**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 565524768 to the nearest one hundred thousand.\nAnswer: 565500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 133, 223, 333, 463?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 + v**4 + 2*v**4)*(-248 + 36 + 131) + 5*v**4 - 2*v**4 - 4*v**4 + 2 + v**4 - 2.\nAnswer: 81*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 5*n**2 + 3*n**2)*(-n**3 + n**3 + 3*n**3 + (0*n**3 + 4*n**3 - 2*n**3)*(-1 + 3 - 4) - 27*n**3 + 18*n**3 + 19*n**3 - n + n - n**3).\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24972976 by -24972976.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 110110001010101000110100111?\nAnswer: -110110001010101000110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:18 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccwwwwwwaw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 11 (c) 4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 49 + 410 + 1359)*((2*u**2 - 5*u**2 + u**2)*(-3 - 2 + 6) - 2*u**2 + 0 + 0).\nAnswer: -6840*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (492\/(-20))\/(1\/(-5)). Let w = h - 88. Suppose -2*o - v = -2*v - 35, 5*o + 3*v - 104 = 0. Calculate the remainder when w is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -71, 19, 2\/81, -5?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:38 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 4, b: 6}. Give prob of sequence bb.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 1.9. Let x = -26 + 18. Let q = x + 9. Which is the smallest value? (a) -4 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, m: 5, f: 7}. What is prob of sequence pfp?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let x(t) = 1. Let q(v) = 3*v + 5. Let j(g) = -q(g) + 5*x(g). What is j(h(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - 4*j - 9. Let g be b(-6). Find the first derivative of 10*n**4 - g*n + 7 + 15*n wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/5 + 6794*k + 203748\/5 = 0. What is k?\nAnswer: -16979, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjzjbwzo. Give prob of sequence owbz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1233 + 41340?\nAnswer: 40104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*((-13560)\/13552 + 1). Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948385 to the power of 1\/2, to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 + 82*p**2 + 83*p**2 - 59 - 167*p**2 + 132 to the form r + u*p + v*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i. Let c(m) be the second derivative of -m**5\/60 + m**3\/6 - 5*m. Let r(z) be the second derivative of c(z). What is r(b(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -2, 11, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 89*c - 89*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 425110 != 425213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 1 - (127 + -126)\/(15\/(-33))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r**2 + 3*r + 1. Let b be g(-2). Let y = b - -84. Let h(p) = 2*p**2 + 4*p - 1. What is the remainder when y is divided by h(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r. Let t(x) = 1. Suppose 3*f = -2*f. Let i(q) = 3*q**2 + 2*q**2 - 20 + f*q**2. Let m(z) = i(z) + 20*t(z). What is k(m(g))?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 887409.6 tonnes in grams?\nAnswer: 887409600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/8*17\/3. Let p be 2 - (-1)\/(1\/g). Is 213\/p*(-1 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24883 + -391?\nAnswer: -24c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 + 7*c**2\/2 + 6*c + 2. Suppose -43*z + 38*z = -35. What is h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 12 + (-15 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 3:49 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f + 449 = 179. Which is the third smallest value? (a) -3\/4 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -57982\/779 and -75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25476\/271 + 94. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1701 and 47\/2079.\nAnswer: 18711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*y**2 + 1)*(3 - 6 + 4) - y**2 + 3*y**2 - 3*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13.2. Let v = 21869 - 21869.6. What is the closest to g in -0.2, -0.3, -2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 - (29 + 1 + -30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18 + 161 + 549 + 7*v**3 + 93*v**4 - 65 with respect to v.\nAnswer: 372*v**3 + 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 196*b + 69*b + 0 - 64*b.\nAnswer: -191*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 52723?\nAnswer: -52720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(48))*4)**2 - ((sqrt(36) + sqrt(36) + sqrt(108)\/sqrt(3) + sqrt(36))\/sqrt(2))\/sqrt(6).\nAnswer: 508*sqrt(3) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20838 is divided by 20800?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -26?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -390.1016 to zero dps.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 108*u - 465.\nAnswer: -3*(u + 5)*(u + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8. Let o = -63 - -51. Let j(s) = s**3 + 10*s**2 - 24*s. Let h be j(o). Calculate q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44151.671 rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 39*m**2 + 21*m + 301. Let n(j) = 9*j**2 + 5*j + 75. What is 2*h(d) - 9*n(d)?\nAnswer: -3*d**2 - 3*d - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**2. Let t(l) = 1650*l. What is b(t(z))?\nAnswer: -16335000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 207*f**2 + 495*f**2 - 10 - 11*f + 363*f**2. What are the prime factors of m(-1)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + y**2 + 8)*(2 + 4 - 2)*(-6 + 3 + 4)*(y**3 - 2*y**3 - 3*y**3).\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5 - 13*h**4 + 1349492*h**3 - 656028*h**2 - 68.\nAnswer: 60*h**2 - 312*h + 8096952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/43))**11)**(-36))**22 assuming v is positive.\nAnswer: v**(-17424\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:09 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + j. Let g(x) = 2*x**2 - 6*x + 2. Let u(c) = -g(c) - 3*m(c). What is the units digit of u(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.2, 2, -1\/16, -7\/45, -1\/2, -2?\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4)*(1 - 1 + 2*c) - 5*c + 2*c + 2*c + (-c + 2*c - 3*c)*(-1 + 2 - 2) + (-1 - 3 + 2)*(3*c + 3*c - 3*c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -944*c + 3922. Calculate the remainder when 467 is divided by h(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2, 2519\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -1019 (c) 1217 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.8*-0.05.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 - 22*c**2 + 3 + 7*c**2 - 2*c)*(4*c + 0*c - 5*c)*(-1 - 2 + 7).\nAnswer: 28*c**3 + 8*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87903 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 130 = -142. Solve 0 = 7*h - j*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/4, 76, 3, -2, 0.9 in decreasing order.\nAnswer: 76, 3, 0.9, -1\/3, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 10*w + 4*w + 8*w in the form l*w + m and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:51 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971895657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 17 = 6*d. Suppose 16*x = d*x - 122. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64160 divided by -7687.\nAnswer: 64160\/7687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6))**(3\/8) assuming t is positive.\nAnswer: t**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2487, -76, -2, -33, -1 in ascending order.\nAnswer: -2487, -76, -33, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b + 38*b - 5*b**3 - 77*b + 2*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.13 - 29. Is m bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 40257082?\nAnswer: 161028328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*c**4 - 110*c**3 - 6027*c wrt c.\nAnswer: -372*c**2 - 660*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/3)\/(1 + 0). Let p be 4\/g - 4\/(-6). Let m = 7 - p. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*c - 63, 3*c + 60 = -w - 43. Let z = 380 - c. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w. Let b = -3 + 6. Let y(k) = 3*k + 2*k - 4*k + b*k. Determine 6*u(a) - 11*y(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 95*m - 84. List the prime factors of p(10).\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-317)\/(-9) - (-4)\/(-18). Let n = j - 3. Let z = n - 12. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((3 + 5 - 4) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 62, 70, 58, 20, -50, -158, -310?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 4) to base 11\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211733 is divided by 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27103, -54180, -81253, -108328, -135411?\nAnswer: -162508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 2 - 3 - 0)*-2. Let q(d) = 1326*d - 107. Is q(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 16150?\nAnswer: 290700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 1:58 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5 + 5. Let i = 13.4 + -8.3. Let s = 5.3 - i. What is the nearest to 1\/5 in 0.3, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 m when four letters picked without replacement from {a: 10, m: 2, l: 4, b: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3699 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*a = 9, 5*a - 2*a - 7 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 5. Let x be o(8). Let c(l) = 7*l - 7. Let m(z) = -3*z + 3. Let q(d) = 2*c(d) + 5*m(d). What is the units digit of q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llr when three letters picked without replacement from rrrrvrvrrrrlrlrrlvr.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12376394 divided by 1.\nAnswer: 12376394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + -5*(sqrt(19) + sqrt(76)\/sqrt(4)) + sqrt(19) + 2 + (sqrt(570)\/(sqrt(10) - (sqrt(10)*-1 + sqrt(10))))\/(6*(sqrt(3)*-2 - sqrt(3))) + -1)**2.\nAnswer: 163*sqrt(19)\/9 + 505135\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-19)*j)\/(((j\/j**(2\/39))\/j)\/j))**40 assuming j is positive.\nAnswer: j**(-26440\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssisssssi. What is prob of picking 2 s and 1 i?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*l - 232*l = -141*l + 129. Suppose -4*x - 8 = -3*a, -2*x - 5*a + 0 + 22 = 0. Solve -2*u + x - l = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1269)\/(-4277) + 3\/(-21).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 75a00?\nAnswer: -75a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3090)\/220 + 4\/88?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-224)\/(-49) + 8\/(-14). What are the prime factors of 259\/h - (-30)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 217 + 203 = 28*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271455001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 2*x**2 - x - 1. Let p(h) = h - 2. Let v be p(5). Calculate the remainder when 8 is divided by a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*r + 34 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 4:12 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.54 + -0.14. Let r = 0.1092 - 2.5672. Let o = v + r. What is o rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19750500 rounded to the nearest 100000?\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16*(-57 + 49).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1005.6 + -1006. Let z = 0.5 + -0.7. Let j = -1 + 0. Which is the nearest to j? (a) h (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 10. Let m(x) = 3*x - 9. Let f(g) = 4*m(g) - 3*u(g). Calculate f(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*x**2 - 5*c**2 + 14*x**2 - 7*x wrt x?\nAnswer: -4*c**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -480. Suppose -3*n = -y + 4*y - 135, n = 5*y + d. What is the remainder when 268 is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33 - 26*x**4 - 16 + 14 wrt x?\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21736, 86971, 195700, 347923, 543640, 782851?\n\"Answer: 21747*k**2 - 6*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 12. Suppose z + m - v = 0, 3 - 19 = 3*z - 4*m. Differentiate -1 + 2*s**2 + 0 + z*s**2 wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/4 of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 21*a + 38. Let h be m(19). Let v = -3 - 2. What is the closest to 0 in 1\/3, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0194 + 12.0194. What is the third smallest value in 1\/3, k, 16\/3, 3\/2?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 143 - 185 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/9 (c) -0.05402394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23079778*h*s**2 - 153608*h + 8 wrt s?\nAnswer: 46159556*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/99*1389\/1852\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16, -7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**17*(u\/u**(-1\/6))\/u**(-1\/7))\/(((u**(-2\/3)\/u)\/u**2)\/(u*u**(1\/3)*u*u*u*u\/(u*u*u**(6\/11)*u))) assuming u is positive.\nAnswer: u**(-12583\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 + 140*j - 118*j + 557.\nAnswer: 22*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(-34)\/(-561).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 22 - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2\/55, 0.4, -3\/4, 2.82?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 33. Let q = 65 + k. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9684951.\nAnswer: 3, 17, 189901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-4 - (-33)\/9). Solve h*l + l + 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21626249311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2101986, -4204145, -6306304, -8408463?\n\"Answer: -2102159*z + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*m + 134*m + 21 - 20 to the form b + n*m and give n.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(36\/16 - 3). Suppose 6*z + 21 = -g. Sort 14, -1, z in ascending order.\nAnswer: z, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3186, 7221, 11256, 15291?\n\"Answer: 4035*i - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/48)\/((-6)\/(-45))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:26 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sissi. Give prob of sequence si.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*q = 1402 + 1214 + 524 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {y: 9, e: 9}.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**8\/6720 + h**7\/1260 - h**5\/60 + h**2. Let s(b) be the third derivative of p(b). Find the second derivative of s(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 1, -1, -3, 0, -4 in descending order.\nAnswer: 100, 1, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1aa2b8 (base 12) to base 5\nAnswer: -110131100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i - 3*i + (-1 + 2 + 0)*(-9 - 5*i + 9))*(51*i - 51*i - 35*i**3).\nAnswer: 280*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -111, 0.5, 3 in descending order.\nAnswer: 3, 2, 0.5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 42, 88, 144, 204?\n\"Answer: -v**3 + 14*v**2 - 5*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 206\/13*f - 106\/13*f**2 + 2\/13*f**3 - 102\/13.\nAnswer: 2*(f - 51)*(f - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77.51 and 0.3.\nAnswer: 77.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 661*w**2. Let v(m) = -8*m**2 - 1223. Give v(o(i)).\nAnswer: -3495368*i**4 - 1223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**32\/r*r*r**(3\/8) assuming r is positive.\nAnswer: r**(259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 105 = -32*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*k + 108. Suppose 0 = d - j - 7, 2*d - 5 = j + 12. What is the remainder when k is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20217 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: Let m be 1\/(-7)*(3 - 0). Let i = -4.73 - -0.76. Let j = i - 0.03. What is the third biggest value in j, m, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 7*w + 3. Let m be s(6). Suppose 2*i + 3*t + 3 = 2*t, -5*i = 3*t + 9. Suppose -2*y = 1 - 5, 13 = -d + 4*y. Put d, i, m in increasing order.\nAnswer: d, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*x + 127*x = 868 - 3192 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 200*p**2 + 9964*p - 7. What is z(-106)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411888 and 6590208?\nAnswer: 6590208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.443592 centuries?\nAnswer: 11332.3104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7502\/(-110) - -69)\/(4\/(-400)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/14637 and -45\/119?\nAnswer: 14637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*r**2 + k - 9*r**4 - 10*r**2 - 1203*r wrt r.\nAnswer: -2*k - 108*r**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -140 (b) -10 (c) 0.9 (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -661, -1319, -1975, -2629, -3281, -3931, -4579?\n\"Answer: o**2 - 661*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 3*q + q**2)*((-3 + 3 + 1)*(0*q**2 - q**2 + 2*q**2) - 10*q**2 + 38*q**2 + 50*q**2).\nAnswer: 79*q**4 - 237*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 3*z - 5*z. Let m(d) = -4*d + 2. Let k(v) = -83*v**2 - 24*v + 12. Let o(w) = k(w) - 6*m(w). Determine x(o(q)).\nAnswer: 83*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -398.78 * -0.09\nAnswer: 35.8902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/6 + (-32)\/(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7568 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 913, 3472, 7677, 13528?\n\"Answer: 823*i**2 + 90*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 5*g**8\/336 + g**7\/21 - 7*g**6\/24 - 2*g**5\/3 + 5*g**4\/2 - 507*g**2 + 2. Find t such that r(t) = 0.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (88\/(-5))\/((-7)\/(-35)). Let w be (-2)\/(-8)*11\/(m\/(-288)). Solve 4*p - w = 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 5. Let n be a(-4). Let u = -10 + 13. Let y(d) = 2*d - 4. Let h be y(u). Calculate the greatest common divisor of n and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2403, 4406, 6435, 8502, 10619, 12798, 15051, 17390?\n\"Answer: 2*p**3 + p**2 + 1986*p + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}